close
1.

図書

図書
R.D. Milne
出版情報: Boston ; London : Pitman Advanced Pub. Program, 1980  xv, 501 p. ; 24 cm
シリーズ名: Applicable mathematics series
所蔵情報: loading…
2.

図書

図書
A. Mukherjea and K. Pothoven
出版情報: New York : Plenum Press, c1986  viii, 277 p. ; 24 cm
シリーズ名: Mathematical concepts and methods in science and engineering ; v. 28 . Real and functional analysis / A. Mukherjea and K. Pothoven ; Pt. B
所蔵情報: loading…
3.

図書

図書
edited by John L. Casti and Anders Karlqvist
出版情報: Berlin ; Tokyo : Springer, c1986  xiii, 281 p. ; 25 cm
シリーズ名: Biomathematics ; v. 16
所蔵情報: loading…
4.

図書

図書
Daniel E. Cohen
出版情報: Chichester, West Sussex, England : E. Horwood , New York : Halsted Press [distributor], 1987  243 p. ; 25 cm
シリーズ名: Ellis Horwood series in mathematics and its applications
所蔵情報: loading…
5.

図書

図書
by the Mathematical Society of Japan ; edited by Kiyosi Itô
出版情報: Cambridge, Mass. : MIT Press, c1987  4 v. (xix, 2148 p.) ; 30 cm
所蔵情報: loading…
6.

図書

図書
P.L. Sachdev
出版情報: Cambridge [Cambridgeshire] : Cambridge University Press, 1987  vii, 246 p. ; 24 cm
所蔵情報: loading…
目次情報: 続きを見る
Introduction and Overview / 1:
The Burgers Equation / 2:
Generalised Burgers Equations / 3:
Self-similar Solutions as Intermediate Asymptotics for Nonlinear Diffusion Equations / 4:
Numerical solution of Nonlinear Diffusion Equation. / 5:
Numerical solution of Nonlinear Diffusion Equation
Introduction and Overview / 1:
The Burgers Equation / 2:
Generalised Burgers Equations / 3:
7.

図書

図書
L.D. Faddeev, L.A. Takhtajan ; translated from the Russian by A.G. Reyman
出版情報: Berlin ; Tokyo : Springer-Verlag, c1987  ix, 592 p. ; 24 cm
シリーズ名: Springer series in Soviet mathematics
所蔵情報: loading…
8.

図書

図書
edited by Lokenath Debnath
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1983  360 p. ; 24 cm
所蔵情報: loading…
目次情報: 続きを見る
Nonlinear Waves in Fluids / Part I:
Towards the Analytic Description of Overturning Waves / Michael S. Longuet-Higgins1:
The Korteweg-de Vries Equation and Related Problems in Water Wave Theory / R. S. Johnson2:
Solitary Waves in Slowly Varying Environments: Long Nonlinear Waves / R. Grimshaw3:
Nonlinear Waves in a Channel / M. C. Shen4:
Soliton Behaviour in Models of Baroclinic Instability / Irene M. Moroz ; John Brindley5:
Waves and Wave Groups in Deep Water / Peter J. Bryant6:
Two- and Three-Wave Resonance / Alex D. D. Craik7:
Nonlinear waves in Plasmas / Part II:
Nonlinear Electromagnetic Waves in Flowing Plasma / N. E. Andreev ; V. P. Silin ; P. V. Silin8:
Superluminous Waves in Plasmas / P. C. Clemmow9:
Electrostatic Ion Cyclotron Waves and Ion Heating in a Magnetic Field / H. Okuda10:
Solitons in Plasma Physics / P. K. Shukla11:
A Theory for the Propagation of Slowly Varying Nonlinear Waves in a Non-Uniform Plasma / R. J. Gribben.12:
Nonlinear Waves in Fluids / Part I:
Towards the Analytic Description of Overturning Waves / Michael S. Longuet-Higgins1:
The Korteweg-de Vries Equation and Related Problems in Water Wave Theory / R. S. Johnson2:
9.

図書

図書
A. Hanyga ; translation editor, R.W. Ogden
出版情報: Chichester : E. Horwood , Warsaw : PWN , New York : Distributors, Halsted Press, c1985  432 p. ; 24 cm
シリーズ名: Ellis Horwood series in mathematics and its applications
所蔵情報: loading…
10.

図書

図書
Nathaniel F.G. Martin, James W. England ; foreword by James K. Brooks
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., 1981  xxi, 257 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 12 . Section, Real variables
所蔵情報: loading…
11.

図書

図書
James O. Berger
出版情報: New York : Springer-Verlag, c1980  xv, 425 p. ; 24 cm
シリーズ名: Springer series in statistics
所蔵情報: loading…
12.

図書

図書
Neal Koblitz, editor
出版情報: Boston : Birkhäuser, 1982  x, 362 p. ; 24 cm
シリーズ名: Progress in mathematics ; vol. 26
所蔵情報: loading…
13.

図書

図書
Adhemar Bultheel
出版情報: Basel : Birkhäuser, 1987  xi, 274 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 27
所蔵情報: loading…
14.

図書

図書
J. Kevorkian, J.D. Cole
出版情報: New York : Springer-Verlag, c1981  x, 558 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 34
所蔵情報: loading…
15.

図書

図書
Kerson Huang
出版情報: Singapore : World Scientific, c1982  x, 281 p. ; 24 cm
所蔵情報: loading…
16.

図書

図書
John C. Oxtoby
出版情報: New York : Springer-Verlag, c1980  ix, 106 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 2
所蔵情報: loading…
17.

図書

図書
prepared for the International Statistical Institute by Maurice G. Kendall & William R. Buckland
出版情報: London ; New York : Published for the International Statistical Institute by Longman, 1982  213 p. ; 25 cm
所蔵情報: loading…
18.

図書

図書
P.M. Cohn
出版情報: Dordrecht ; Boston : D. Reidel Pub. Co , Hingham, MA : Sold and distributed in the U.S.A. and Canada by Kluwer Boston, c1981  xv, 412 p. ; 23 cm
シリーズ名: Mathematics and its applications ; v. 6
所蔵情報: loading…
19.

図書

図書
edited by Ulrich Hoyer
出版情報: Amsterdam : North-Holland, 1981  xv, 647 p. ; 27 cm
シリーズ名: Collected works / Niels Bohr ; general editor, L. Rosenfeld ; v. 2
所蔵情報: loading…
目次情報: 続きを見る
Editors' foreword
Abbreviated titles of periodicals
Absorption of charged particles / Part I:
Constitution of atoms and molecules / Part II:
Consolidation of the quantum theory of the atom / Part III:
Selected correspondence 1912-1917 / Part IV:
Inventory of manuscripts in the Niels Bohr archive
Index
Editors' foreword
Abbreviated titles of periodicals
Absorption of charged particles / Part I:
20.

図書

図書
edited by H. Amann, N. Bazley, K. Kirchgässner
出版情報: Boston : Pitman Advanced Pub. Program, 1981  x, 325 p. ; 25 cm
シリーズ名: Surveys and reference works in mathematics / main editors, A. Jeffrey, R.G. Douglas
所蔵情報: loading…
21.

雑誌

雑誌
出版情報: Amsterdam : North-Holland  V. ; 27cm
巻次年月次: Vol. 11, no. 1 (Jan. 1980)-
所蔵情報: loading…
22.

図書

図書
edited by H.L. Swinney and J.P. Gollub ; with contributions by F.H. Busse ... [et al.]
出版情報: Berlin ; New York : Springer-Verlag, 1981  xii, 292 p. ; 24 cm
シリーズ名: Topics in applied physics ; v. 45
所蔵情報: loading…
23.

図書

図書
S.K. Godunov and V.S. Ryabenkii ; English translation by E.M. Gelbard
出版情報: Amsterdam ; New York : North-Holland, 1987  xvii, 489 p. ; 23 cm
シリーズ名: Studies in mathematics and its applications ; v. 19
所蔵情報: loading…
24.

図書

図書
Vadim Komkov
出版情報: Dordrecht ; Tokyo : D. Reidel, c1986  viii, 387 p. ; 23 cm
シリーズ名: Mathematics and its applications ; . Variational principles of continuum mechanics with engineering applications / Vadim Komkov ; v. 1
所蔵情報: loading…
25.

図書

図書
editor-in-chief, S.P. Novikov
出版情報: Chur, Switzerland : Harwood Academic Pub., 1980-  v. ; 23 cm
シリーズ名: Soviet scientific reviews ; sect. C
所蔵情報: loading…
26.

図書

図書
D.L. DeAngelis, W.M. Post, C.C. Travis
出版情報: Berlin ; Tokyo : Springer-Verlag, c1986  xii, 290 p. ; 26 cm
シリーズ名: Biomathematics ; v. 15
所蔵情報: loading…
27.

図書

図書
Emlyn Lloyd
出版情報: Chichester : Wiley, c1980  xix, 450 p. ; 26 cm
シリーズ名: Handbook of applicable mathematics / chief editor, Walter Ledermann ; v. 2
所蔵情報: loading…
28.

図書

図書
Richard Bellman and Ramabhadra Vasudevan
出版情報: Dordrecht ; Tokyo : D. Reidel, c1986  xiv, 367 p. ; 23 cm
シリーズ名: Mathematics and its applications
所蔵情報: loading…
29.

図書

図書
Arthur T. Winfree
出版情報: New York : Springer Verlag, c1980  xiii, 530 p. ; 25 cm
シリーズ名: Biomathematics ; v. 8
所蔵情報: loading…
30.

図書

図書
Saunders Mac Lane
出版情報: New York ; Berlin : Springer-Verlag, c1986  xi, 476 p. ; 25 cm
所蔵情報: loading…
31.

図書

図書
Gerhard Burde, Heiner Zieschang
出版情報: Berlin ; New York : W. de Gruyter, 1985  x, 399 p. ; 25 cm
シリーズ名: De Gruyter studies in mathematics ; 5
所蔵情報: loading…
32.

図書

図書
S.G. Gindikin ; translated by Robert H. Silverman
出版情報: New York ; Tokyo : Springer-Verlag, c1985  xviii, 356 p. ; 25 cm
シリーズ名: Problem books in mathematics / edited by K. Bencsáth and P.R. Halmos
所蔵情報: loading…
33.

図書

図書
H.-O. Peitgen, P.H. Richter
出版情報: Berlin ; Tokyo : Springer-Verlag, c1986  xii, 199 p., [1] leaf of plates ; 29 cm
所蔵情報: loading…
34.

図書

図書
W.D. Curtis, F.R. Miller
出版情報: Orlando [Fla.] ; Tokyo : Academic Press, 1985  xix, 394 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 116
所蔵情報: loading…
目次情報: 続きを見る
What is Intervention Research / 1:
Stages in Intervention Research / 2:
Step 1: Specify the Problem and Develop a Program Theory / 3:
Step 2: Create and Revise Program Materials / 4:
Step 3 & Step 4: From Refining Program Components to Testing Effectiveness / 5:
Step 5: Dissemination of Findings and Program Materials / 6:
Challenges in Intervention Research / 7:
Appendix
Glossary
References
What is Intervention Research / 1:
Stages in Intervention Research / 2:
Step 1: Specify the Problem and Develop a Program Theory / 3:
35.

図書

図書
Peter Whittle
出版情報: Chichester ; New York : Wiley, c1986  ix, 460 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Applied probability and statistics
所蔵情報: loading…
36.

図書

図書
edited by I. Gohberg, M.A. Kaashoek
出版情報: Basel : Birkhäuser, 1986  xii, 409 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 21
所蔵情報: loading…
37.

図書

図書
René P. Sperb
出版情報: New York : Academic Press, 1981  ix, 224 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 157
所蔵情報: loading…
38.

図書

図書
edited by L. Szabó and Á. Szendrei
出版情報: Amsterdam ; New York : North-Holland, c1986  655 p. ; 25 cm
シリーズ名: Colloquia Mathematica Societatis János Bolyai ; 43
所蔵情報: loading…
39.

図書

図書
Franklin A. Graybill
出版情報: Belmont, Calif. : Wadsworth International Group, c1983  xi, 461 p. ; 24 cm
シリーズ名: The Wadsworth statistics/probability series
所蔵情報: loading…
目次情報: 続きを見る
Prerequisite Matrix Theory / 1:
Introduction
Notation and definitions
Inverse
Transpose of a matrix
Determinants
Rank of matrices
Quadratic forms
Orthogonal matrices
Prerequisite Vector Theory / 2:
Introduction and definitions
Vector space
Vector subspaces
Linear dependence and independence
Basis of a vector space
Inner product and orthogonality of vectors
Linear Transformations and Characteristic ROOTS / 3:
Linear transformations
Characteristics roots and vectors
Similar matrices
Symmetric matrices
Geometric Interpretations / 4:
Lines in En
Planes in En
Projections
Algebra of Vector Spaces / 5:
Intersection and sum of vector spaces
Orthogonal complement of a vector subspace
Column and null spaces of a matrix
Statistical applications
Functions of matrices
Generalized Inverse; Conditional Inverse / 6:
Definition and basic theorems of generalized inverse
Systems of linear equations
Generalized inverses for special matrices
Computing formulas for the g-inverse
Conditional inverse
Hermite form of matrices
Systems of Linear Equations / 7:
Existence of solutions to Ax=g
the number of solutions of the system Ax=g
approximate solutions to inconsistent systems of linear equations
Least squares
Patterned Matrices And Other Special Matrices / 8:
Partitioned matrices
The inverse of certain patterned matrices
Determinants of certain patterned matrices
Characteristic equations and roots of some patterned matrices
Triangular matrices
Correlation matrix
Direct product and sum of matrices
Additional theorems
Circulants
Dominant diagonal matrices
Vandermonde and Fourier matrices
Permutation matrices
Hadamard matrices
Band and Toeplitz matrices
Trace and Vector of Matrices / 9:
Trace
Vector of a matrix
Commutation matrices
Integration and Differentiation / 10:
Transformation of random variables
Multivariate normal density
Moments of density functions and expected values of random matrices
Evaluation of a general multiple integral
Marginal density function
Examples
Derivatives
Expected values of quadratic forms
Expectation of the elements of a Wishart matrix
Inverse Positive Matrices and Matrices With Non-Positive Off-Diagonal Elements / 11:
Matrices with positive principal minors
Matrices with non-positive off-diagonal elements
M-matrices (z-matrices with positive principle minors)
Z-matrices with non-negative principal minors
Non-Negative Matrices; Idempotent and Tripotent Matrices; Projections / 12:
Non-negative matrices
Idempotent matrices
Tripotent matrices
Reference and Additional Readings
Index
Prerequisite Matrix Theory / 1:
Introduction
Notation and definitions
40.

図書

図書
edited by J. Aczél
出版情報: Dordrecht ; Boston : D. Reidel Pub. Co. , Hingham, MA, U.S.A. : Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, c1984  ix, 244 p. ; 23 cm
シリーズ名: Mathematics and its applications
所蔵情報: loading…
41.

図書

図書
edited by David F. Findley
出版情報: New York : Academic Press, 1981  xii, 798 p. ; 24 cm
所蔵情報: loading…
42.

図書

図書
M.R. Leadbetter, Georg Lindgren, Holger Rootzén
出版情報: New York : Springer-Verlag, c1983  xii, 336 p. ; 25 cm
シリーズ名: Springer series in statistics
所蔵情報: loading…
43.

図書

図書
K. Dzhaparidze ; translated by Samuel Kotz
出版情報: New York ; Tokyo : Springer-Verlag, c1986  vi, 324 p. ; 25 cm
シリーズ名: Springer series in statistics
所蔵情報: loading…
44.

雑誌

雑誌
出版情報: Hayward, Calif. : Institute of Mathematical Statistics, c1986-  v. ; 28 cm
巻次年月次: Vol. 1, no. 1 (Feb. 1986)-
所蔵情報: loading…
45.

図書

図書
H. Joseph Weaver
出版情報: New York : Wiley, c1989  xii, 307 p. ; 24 cm
所蔵情報: loading…
目次情報: 続きを見る
Basic Mathematical Background
Integration Theory
Distribution Theory
The Fourier Series
The Fourier Transform
Fourier Transform of a Distribution
The Discrete Fourier Transform
Sampling Theory
Appendix
Index
Basic Mathematical Background
Integration Theory
Distribution Theory
46.

図書

図書
editor, C.A. Brebbia
出版情報: Southampton : Computational Mechanics , Berlin ; Tokyo : Springer-Verlag, c1988  641 p. ; 24 cm
シリーズ名: Boundary elements X ; v. 1
所蔵情報: loading…
47.

図書

図書
V.S. Zykov ; translated by Protrans ; edited by A.T. Winfree
出版情報: Manchester : Manchester University Press, c1987  xxxiv, 235 p. ; 24 cm
シリーズ名: Nonlinear science : theory and applications
所蔵情報: loading…
48.

図書

図書
Michael K. Sain
出版情報: New York, N.Y. : Academic Press, 1981  xiv, 347 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 151
所蔵情報: loading…
49.

図書

図書
edited by A. Amann, L. Cederbaum and W. Gans
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1988  xiv, 331 p. ; 25 cm
シリーズ名: NATO ASI series ; ser. C . Mathematical and physical sciences ; v. 235
所蔵情報: loading…
50.

図書

図書
Paul Koosis
出版情報: Cambridge [Eng.] : Cambridge University Press, 1988-1992  2 v. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 12, 21
所蔵情報: loading…
目次情報:
JensenG++s formula again / 9:
Why we want to have multiplier theorems / 10:
Multiplier theorems / 11:
JensenG++s formula again / 9:
Why we want to have multiplier theorems / 10:
Multiplier theorems / 11:
51.

図書

図書
C.J. Harris, J.M.E. Valença
出版情報: London ; New York : Academic Press, 1983  xi, 268 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 168
所蔵情報: loading…
52.

図書

図書
Tosiya Taniuti and Katsunobu Nishihara ; translation from Japanese prepared by Tosiya Taniuti and Alan Jeffrey
出版情報: Boston : Pitman Advanced Publishing Program, 1983  xiv, 258 p. ; 24 cm
シリーズ名: Monographs and studies in mathematics ; 15
所蔵情報: loading…
53.

図書

図書
Govind P. Agrawal
出版情報: Boston ; Tokyo : Academic Press, c1989  xii, 342 p. ; 24 cm
シリーズ名: Quantum electronics : principles and applications
所蔵情報: loading…
目次情報: 続きを見る
Preface
Introduction / 1:
Historical Perspective / 1.1:
Fiber Characteristics / 1.2:
Material and Fabrication / 1.2.1:
Fiber Losses / 1.2.2:
Chromatic Dispersion / 1.2.3:
Polarization-Mode Dispersion / 1.2.4:
Fiber Nonlinearities / 1.3:
Nonlinear Refraction / 1.3.1:
Stimulated Inelastic Scattering / 1.3.2:
Importance of Nonlinear Effects / 1.3.3:
Overview / 1.4:
Problems
References
Pulse Propagation in Fibers / 2:
Maxwell's Equations / 2.1:
Fiber Modes / 2.2:
Eigenvalue Equation / 2.2.1:
Single-Mode Condition / 2.2.2:
Characteristics of the Fundamental Mode / 2.2.3:
Pulse-Propagation Equation / 2.3:
Nonlinear Pulse Propagation / 2.3.1:
Higher-Order Nonlinear Effects / 2.3.2:
Numerical Methods / 2.4:
Split-Step Fourier Method / 2.4.1:
Finite-Difference Methods / 2.4.2:
Group-Velocity Dispersion / 3:
Different Propagation Regimes / 3.1:
Dispersion-Induced Pulse Broadening / 3.2:
Gaussian Pulses / 3.2.1:
Chirped Gaussian Pulses / 3.2.2:
Hyperbolic-Secant Pulses / 3.2.3:
Super-Gaussian Pulses / 3.2.4:
Experimental Results / 3.2.5:
Third-Order Dispersion / 3.3:
Changes in Pulse Shape / 3.3.1:
Broadening Factor / 3.3.2:
Arbitrary-Shape Pulses / 3.3.3:
Ultrashort-Pulse Measurements / 3.3.4:
Dispersion Management / 3.4:
GVD-Induced Limitations / 3.4.1:
Dispersion Compensation / 3.4.2:
Compensation of Third-Order Dispersion / 3.4.3:
Self-Phase Modulation / 4:
SPM-Induced Spectral Broadening / 4.1:
Nonlinear Phase Shift / 4.1.1:
Changes in Pulse Spectra / 4.1.2:
Effect of Pulse Shape and Initial Chirp / 4.1.3:
Effect of Partial Coherence / 4.1.4:
Effect of Group-Velocity Dispersion / 4.2:
Pulse Evolution / 4.2.1:
Optical Wave Breaking / 4.2.2:
Effect of Third-Order Dispersion / 4.2.4:
Self-Steepening / 4.3:
Effect of GVD on Optical Shocks / 4.3.2:
Intrapulse Raman Scattering / 4.3.3:
Optical Solitons / 5:
Modulation Instability / 5.1:
Linear Stability Analysis / 5.1.1:
Gain Spectrum / 5.1.2:
Experimental Observation / 5.1.3:
Ultrashort Pulse Generation / 5.1.4:
Impact on Lightwave Systems / 5.1.5:
Fiber Solitons / 5.2:
Inverse Scattering Method / 5.2.1:
Fundamental Soliton / 5.2.2:
Higher-Order Solitons / 5.2.3:
Experimental Confirmation / 5.2.4:
Soliton Stability / 5.2.5:
Other Types of Solitons / 5.3:
Dark Solitons / 5.3.1:
Dispersion-Managed Solitons / 5.3.2:
Bistable Solitons / 5.3.3:
Perturbation of Solitons / 5.4:
Perturbation Methods / 5.4.1:
Soliton Amplification / 5.4.2:
Soliton Interaction / 5.4.4:
Higher-Order Effects / 5.5:
Propagation of Femtosecond Pulses / 5.5.1:
Polarization Effects / 6:
Nonlinear Birefringence / 6.1:
Origin of Nonlinear Birefringence / 6.1.1:
Coupled-Mode Equations / 6.1.2:
Elliptically Birefringent Fibers / 6.1.3:
Nondispersive XPM / 6.2:
Optical Kerr Effect / 6.2.2:
Pulse Shaping / 6.2.3:
Evolution of Polarization State / 6.3:
Analytic Solution / 6.3.1:
Poincare-Sphere Representation / 6.3.2:
Polarization Instability / 6.3.3:
Polarization Chaos / 6.3.4:
Vector Modulation Instability / 6.4:
Low-Birefringence Fibers / 6.4.1:
High-Birefringence Fibers / 6.4.2:
Isotropic Fibers / 6.4.3:
Birefringence and Solitons / 6.4.4:
Soliton-Dragging Logic Gates / 6.5.1:
Vector Solitons / 6.5.4:
Random Birefringence / 6.6:
Polarization State of Solitons / 6.6.1:
Cross-Phase Modulation / 7:
XPM-Induced Nonlinear Coupling / 7.1:
Nonlinear Refractive Index / 7.1.1:
Coupled NLS Equations / 7.1.2:
Propagation in Birefringent Fibers / 7.1.3:
XPM-Induced Modulation Instability / 7.2:
XPM-Paired Solitons / 7.2.1:
Bright-Dark Soliton Pair / 7.3.1:
Bright-Gray Soliton Pair / 7.3.2:
Other Soliton Pairs / 7.3.3:
Spectral and Temporal Effects / 7.4:
Asymmetric Spectral Broadening / 7.4.1:
Asymmetric Temporal Changes / 7.4.2:
Applications of XPM / 7.4.3:
XPM-Induced Pulse Compression / 7.5.1:
XPM-Induced Optical Switching / 7.5.2:
XPM-Induced Nonreciprocity / 7.5.3:
Stimulated Raman Scattering / 8:
Basic Concepts / 8.1:
Raman-Gain Spectrum / 8.1.1:
Raman Threshold / 8.1.2:
Coupled Amplitude Equations / 8.1.3:
Quasi-Continuous SRS / 8.2:
Single-Pass Raman Generation / 8.2.1:
Raman Fiber Lasers / 8.2.2:
Raman Fiber Amplifiers / 8.2.3:
Raman-Induced Crosstalk / 8.2.4:
SRS with Short Pump Pulses / 8.3:
Pulse-Propagation Equations / 8.3.1:
Nondispersive Case / 8.3.2:
Effects of GVD / 8.3.3:
Synchronously Pumped Raman Lasers / 8.3.4:
Soliton Effects / 8.4:
Raman Solitons / 8.4.1:
Raman Soliton Lasers / 8.4.2:
Soliton-Effect Pulse Compression / 8.4.3:
Effect of Four-Wave Mixing / 8.5:
Stimulated Brillouin Scattering / 9:
Physical Process / 9.1:
Brillouin-Gain Spectrum / 9.1.2:
Quasi-CW SBS / 9.2:
Coupled Intensity Equations / 9.2.1:
Brillouin Threshold / 9.2.2:
Gain Saturation / 9.2.3:
Dynamic Aspects / 9.2.4:
Relaxation Oscillations / 9.3.1:
Modulation Instability and Chaos / 9.3.3:
Transient Regime / 9.3.4:
Brillouin Fiber Lasers / 9.4:
CW Operation / 9.4.1:
Pulsed Operation / 9.4.2:
SBS Applications / 9.5:
Brillouin Fiber Amplifiers / 9.5.1:
Fiber Sensors / 9.5.2:
Parametric Processes / 10:
Origin of Four-Wave Mixing / 10.1:
Theory of Four-Wave Mixing / 10.2:
Approximate Solution / 10.2.1:
Effect of Phase Matching / 10.2.3:
Ultrafast FWM / 10.2.4:
Phase-Matching Techniques / 10.3:
Physical Mechanisms / 10.3.1:
Phase Matching in Multimode Fibers / 10.3.2:
Phase Matching in Single-Mode Fibers / 10.3.3:
Phase Matching in Birefringent Fibers / 10.3.4:
Parametric Amplification / 10.4:
Gain and Bandwidth / 10.4.1:
Pump Depletion / 10.4.2:
Parametric Amplifiers / 10.4.3:
Parametric Oscillators / 10.4.4:
FWM Applications / 10.5:
Wavelength Conversion / 10.5.1:
Phase Conjugation / 10.5.2:
Squeezing / 10.5.3:
Supercontinuum Generation / 10.5.4:
Second-Harmonic Generation / 10.6:
Physical Mechanism / 10.6.1:
Simple Theory / 10.6.3:
Quasi-Phase-Matching Technique / 10.6.4:
Decibel Units / Appendix A:
Acronyms / Appendix B:
Index
Preface
Introduction / 1:
Historical Perspective / 1.1:
54.

図書

図書
edited by Leopoldo Nachbin
出版情報: New York : Academic Press, 1981  2 v. ; 24 cm
シリーズ名: Advances in mathematics : supplementary studies ; v. 7
所蔵情報: loading…
55.

図書

図書
edited by Alan Jeffrey
出版情報: Harlow, Essex, England : Longman Scientific & Technical , New York : J. Wiley, 1989  viii, 245 p. ; 25 cm
シリーズ名: Pitman monographs and surveys in pure and applied mathematics ; 43
所蔵情報: loading…
56.

図書

図書
edited by Rita G. Lerner, George L. Trigg ; foreword by Walter Sullivan
出版情報: Reading, Mass. ; Tokyo : Addison-Wesley Pub. Co., Advanced Book Program, c1981  xvi, 1157 p. ; 29 cm
所蔵情報: loading…
目次情報: 続きを見る
Preface
List of Contributors
Absorption Coefficient.Accelerators, Linear.Accelerators, Potential-Drop Linear / Volume 1:
Acoustical Measurements.Acoustics.Acoustics, Architectural.Acoustics, Linear and Nonlinear
Acoustics, Physiological.Acoustoelectric Effect.Adsorption
Aerosols.Allotropy and Polymorphism.Alloys
Alpha Decay.Amp`ere’s Law.Anelasticity
Angular Correlation of Nuclear Radiation.Antimatter.Arcs and Sparks
Astronomy, High-Energy Neutrino.Astronomy, Optical.Astronomy, Radio
Astronomy, X-Ray.Astrophysics.Atmospheric Physics
Atomic Spectroscopy.Atomic Structure Calculations, Electronic Correlation
Atomic Structure Calculations, One-Electron Models.Atomic Structure Calculations, Relativistic Atoms
Atomic Trapping and Cooling.Atoms.Auger Effect.Aurora.Balmer Formula.Baryons
Beams, Atomic and Molecular.Beta Decay.Betatron.Bethe–Salpeter Equation
Binding Energy.Biophysics.Black Holes.Blackbody Radiation.Bohr Theory of Atomic Structure
Bose–Einstein Condensation.Bose–Einstein Statistics.Boundary Layers
Bremsstrahlung.Brillouin Scattering.Brownian Motion.Calorimetry.Capillary Flow
Carnot Cycle.Casimir Effect.Catalysis.Catastrophe Theory.Cellular Automata
Center-of-Mass System.Ceramics.Čerenkov Radiation.Channeling.Chaos
Charge-Density Waves.Charged-Particle Optics.Charged-Particle Spectroscopy
Chemical Bonding.Chemiluminescence.Circuits, Integrated.Clocks, Atomic and Molecular
Cloud and Bubble Chambers.Cold Atoms and Molecules.Collisions, Atomic and Molecular
Color Centers.Combustion and Flames.Complementarity.Complex Systems.Compton Effect
Conduction.Conservation Laws.Constants, Fundamental.Coriolis Acceleration.Corona Discharge
Cosmic Rays, Astrophysical Effects.Cosmic Rays, Solar System Effects.Cosmic Strings.Cosmology
Counting Tubes.CPT Theorem.Critical Points.Cryogenics.Crystal and Ligand Fields.Crystal Binding
Crystal Defects.Crystal Growth.Crystal Symmetry.Crystallography, X-Ray.Currents in Particle Theory.Cyclotron
Cyclotron Resonance.Deformation of Crystalline Materials.de Haas–van Alphen Effect.Demineralization
Diamagnetism and Superconductivity.Dielectric Properties.Diffraction.Diffusion.Dispersion Theory.Doppler Effect
Dynamic Critical Phenomena.Dynamics, Analytical.Eigenfunctions.Elasticity.Electric Charge.Electric Moments
Electrochemical Conversion and Storage.Electrochemistry.Electrodynamics, Classical.Electroluminescence
Electromagnetic Interaction.Electromagnetic Radiation.Electromagnets.Electron.Electron and Ion Beams, Intense
Electron and Ion Impact Phenomena
Preface
List of Contributors
Absorption Coefficient.Accelerators, Linear.Accelerators, Potential-Drop Linear / Volume 1:
57.

図書

図書
M.J.D. Powell
出版情報: Cambridge [Eng.] : Cambridge University Press, 1981  x, 339 p. ; 23 cm
所蔵情報: loading…
目次情報: 続きを見る
Preface
The approximation problem and existence of best approximations / 1:
Examples of approximation problems / 1.1:
Approximation in a metric space / 1.2:
Approximation in a normed linear space / 1.3:
The L[subscript p]-norms / 1.4:
A geometric view of best approximations / 1.5:
The uniqueness of best approximations / 2:
Convexity conditions / 2.1:
Conditions for the uniqueness of the best approximation / 2.2:
The continuity of best approximation operators / 2.3:
The 1-, 2- and [infinity]-norms / 2.4:
Approximation operators and some approximating functions / 3:
Approximation operators / 3.1:
Lebesgue constants / 3.2:
Polynomial approximations to differentiable functions / 3.3:
Piecewise polynomial approximations / 3.4:
Polynomial interpolation / 4:
The Lagrange interpolation formula / 4.1:
The error in polynomial interpolation / 4.2:
The Chebyshev interpolation points / 4.3:
The norm of the Lagrange interpolation operator / 4.4:
Divided differences / 5:
Basic properties of divided differences / 5.1:
Newton's interpolation method / 5.2:
The recurrence relation for divided differences / 5.3:
Discussion of formulae for polynomial interpolation / 5.4:
Hermite interpolation / 5.5:
The uniform convergence of polynomial approximations / 6:
The Weierstrass theorem / 6.1:
Monotone operators / 6.2:
The Bernstein operator / 6.3:
The derivatives of the Bernstein approximations / 6.4:
The theory of minimax approximation / 7:
Introduction to minimax approximation / 7.1:
The reduction of the error of a trial approximation / 7.2:
The characterization theorem and the Haar condition / 7.3:
Uniqueness and bounds on the minimax error / 7.4:
The exchange algorithm / 8:
Summary of the exchange algorithm / 8.1:
Adjustment of the reference / 8.2:
An example of the iterations of the exchange algorithm / 8.3:
Applications of Chebyshev polynomials to minimax approximation / 8.4:
Minimax approximation on a discrete point set / 8.5:
The convergence of the exchange algorithm / 9:
The increase in the levelled reference error / 9.1:
Proof of convergence / 9.2:
Properties of the point that is brought into reference / 9.3:
Second-order convergence / 9.4:
Rational approximation by the exchange algorithm / 10:
Best minimax rational approximation / 10.1:
The best approximation on a reference / 10.2:
Some convergence properties of the exchange algorithm / 10.3:
Methods based on linear programming / 10.4:
Least squares approximation / 11:
The general form of a linear least squares calculation / 11.1:
The least squares characterization theorem / 11.2:
Methods of calculation / 11.3:
The recurrence relation for orthogonal polynomials / 11.4:
Properties of orthogonal polynomials / 12:
Elementary properties / 12.1:
Gaussian quadrature / 12.2:
The characterization of orthogonal polynomials / 12.3:
The operator R[subscript n] / 12.4:
Approximation to periodic functions / 13:
Trigonometric polynomials / 13.1:
The Fourier series operator S[subscript n] / 13.2:
The discrete Fourier series operator / 13.3:
Fast Fourier transforms / 13.4:
The theory of best L[subscript 1] approximation / 14:
Introduction to best L[subscript 1] approximation / 14.1:
The characterization theorem / 14.2:
Consequences of the Haar condition / 14.3:
The L[subscript 1] interpolation points for algebraic polynomials / 14.4:
An example of L[subscript 1] approximation and the discrete case / 15:
A useful example of L[subscript 1] approximation / 15.1:
Jackson's first theorem / 15.2:
Discrete L[subscript 1] approximation / 15.3:
Linear programming methods / 15.4:
The order of convergence of polynomial approximations / 16:
Approximations to non-differentiable functions / 16.1:
The Dini-Lipschitz theorem / 16.2:
Some bounds that depend on higher derivatives / 16.3:
Extensions to algebraic polynomials / 16.4:
The uniform boundedness theorem / 17:
Preliminary results / 17.1:
Tests for uniform convergence / 17.2:
Application to trigonometric polynomials / 17.3:
Application to algebraic polynomials / 17.4:
Interpolation by piecewise polynomials / 18:
Local interpolation methods / 18.1:
Cubic spline interpolation / 18.2:
End conditions for cubic spline interpolation / 18.3:
Interpolating splines of other degrees / 18.4:
B-splines / 19:
The parameters of a spline function / 19.1:
The form of B-splines / 19.2:
B-splines as basis functions / 19.3:
A recurrence relation for B-splines / 19.4:
The Schoenberg-Whitney theorem / 19.5:
Convergence properties of spline approximations / 20:
Uniform convergence / 20.1:
The order of convergence when f is differentiable / 20.2:
Local spline interpolation / 20.3:
Cubic splines with constant knot spacing / 20.4:
Knot positions and the calculation of spline approximations / 21:
The distribution of knots at a singularity / 21.1:
Interpolation for general knots / 21.2:
The approximation of functions to prescribed accuracy / 21.3:
The Peano kernel theorem / 22:
The error of a formula for the solution of differential equations / 22.1:
Application to divided differences and to polynomial interpolation / 22.2:
Application to cubic spline interpolation / 22.4:
Natural and perfect splines / 23:
A variational problem / 23.1:
Properties of natural splines / 23.2:
Perfect splines / 23.3:
Optimal interpolation / 24:
The optimal interpolation problem / 24.1:
L[subscript 1] approximation by B-splines / 24.2:
Properties of optimal interpolation / 24.3:
The Haar condition / Appendix A:
Related work and references / Appendix B:
Index
Preface
The approximation problem and existence of best approximations / 1:
Examples of approximation problems / 1.1:
58.

図書

図書
Karl E. Gustafson
出版情報: New York : J. Wiley, c1980  xv, 270 p. ; 24 cm
所蔵情報: loading…
59.

図書

図書
Vasile I. Istrăţescu
出版情報: New York : M. Dekker, c1981  xi, 579 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 65
所蔵情報: loading…
60.

図書

図書
J.L. Nowinski
出版情報: New York : Plenum Press, c1981  xv, 304 p. ; 24 cm
シリーズ名: Mathematical concepts and methods in science and engineering ; 22
所蔵情報: loading…
61.

図書

図書
J. Engelbrecht
出版情報: Boston : Pitman Advanced Pub. Program, 1983  ix, 223 p. ; 24 cm
シリーズ名: Monographs and studies in mathematics ; 16
所蔵情報: loading…
62.

図書

図書
Roger Penrose ; foreword by Martin Gardner
出版情報: Oxford ; Tokyo : Oxford University Press, 1989  xiii, 466 p. ; 25 cm
所蔵情報: loading…
目次情報: 続きを見る
Prologue
Can a computer have a mind? / 1:
Algorithms and Turing Machines / 2:
Mathematics and Reality / 3:
Truth, Proof, and Insight / 4:
The Classical World / 5:
Quantum Magic and Quantum Mystery / 6:
Cosmology and the Arrow of Time / 7:
In Search of Quantum Gravity / 8:
Real brains and Model Brains / 9:
Where Lies the Physics of the Mind? / 10:
Epilogue
References
Index.
Prologue
Can a computer have a mind? / 1:
Algorithms and Turing Machines / 2:
63.

図書

図書
Jack Macki, Aaron Strauss
出版情報: New York : Springer-Verlag, c1982  xiii, 165 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
所蔵情報: loading…
64.

図書

図書
by John M. Cowley
出版情報: Amsterdam ; New York : North-Holland Pub. Co. , New York : Sole distributors for the U.S.A. and Canada, Elsevier North-Holland, c1981  xiv, 430 p. ; 23 cm
所蔵情報: loading…
65.

図書

図書
Eli Maor
出版情報: Boston : Birkhäuser, c1987  xvi, 278 p. ; 25 cm
所蔵情報: loading…
66.

図書

図書
Rudolf Lidl, Günter Pilz
出版情報: New York ; Tokyo : Springer-Verlag, c1984  xviii, 545 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
所蔵情報: loading…
目次情報: 続きを見る
Lattices
Applications of Lattices
Finite Fields and Polynomials
Coding Theory
Cryptology
Applications of Groups
Further Applications of Algebra
Lattices
Applications of Lattices
Finite Fields and Polynomials
67.

図書

図書
Frank A. Haight
出版情報: New York : Plenum Press, c1981  xi, 290 p. ; 24 cm
シリーズ名: Mathematical concepts and methods in science and engineering ; 23
所蔵情報: loading…
68.

図書

図書
Leon Lapidus, George F. Pinder
出版情報: New York : Wiley, c1982  677 p. ; 24 cm
所蔵情報: loading…
目次情報: 続きを見る
Fundamental Concepts / Chapter 1.:
Notation / 1.0.:
First-Order Partial Differential Equations / 1.1.:
First-Order Quasilinear Partial Differential Equations / 1.1.1.:
Initial Value or Cauchy Problem / 1.1.2.:
Application of Characteristic Curves / 1.1.3.:
Nonlinear First-Order Partial Differential Equations / 1.1.4.:
Second-Order Partial Differential Equations / 1.2.:
Linear Second-Order Partial Differential Equations / 1.2.1.:
Classification and Canonical Form of Selected Partial Differential Equations / 1.2.2.:
Quasilinear Partial Differential Equations and Other Ideas / 1.2.3.:
Systems of First-Order PDEs / 1.3.:
First-Order and Second-Order PDEs / 1.3.1.:
Characteristic Curves / 1.3.2.:
Applications of Characteristic Curves / 1.3.3.:
Initial and Boundary Conditions / 1.4.:
References
Basic Concepts in the Finite Difference and Finite Element Methods / Chapter 2.:
Introduction / 2.0.:
Finite Difference Approximations / 2.1.:
Taylor Series Expansions / 2.1.1.:
Operator Notation for u(x) / 2.1.3.:
Finite Difference Approximations in Two Dimensions / 2.1.4.:
Additional Concepts / 2.1.5.:
Introduction to Finite Element Approximations / 2.2.:
Method of Weighted Residuals / 2.2.1.:
Application of the Method of Weighted Residuals / 2.2.2.:
The Choice of Basis Functions / 2.2.3.:
Two-Dimensional Basis Functions / 2.2.4.:
Approximating Equations / 2.2.5.:
Relationship between Finite Element and Finite Difference Methods / 2.3.:
Finite Elements on Irregular Subspaces / Chapter 3.:
Triangular Elements / 3.0.:
The Linear Triangular Element / 3.1.1.:
Area Coordinates / 3.1.2.:
The Quadratic Triangular Element / 3.1.3.:
The Cubic Triangular Element / 3.1.4.:
Higher-Order Triangular Elements / 3.1.5.:
Isoparametric Finite Elements / 3.2.:
Transformation Functions / 3.2.1.:
Numerical Integration / 3.2.2.:
Isoparametric Serendipity Hermitian Elements / 3.2.3.:
Isoparametric Hermitian Elements in Normal and Tangential Coordinates / 3.2.4.:
Boundary Conditions / 3.3.:
Three-Dimensional Elements / 3.4.:
Parabolic Partial Differential Equations / Chapter 4.:
Partial Differential Equations / 4.0.:
Well-Posed Partial Differential Equations / 4.1.1.:
Model Difference Approximations / 4.2.:
Well-Posed Difference Forms / 4.2.1.:
Derivation of Finite Difference Approximations / 4.3.:
The Classic Explicit Approximation / 4.3.1.:
The Dufort-Frankel Explicit Approximation / 4.3.2.:
The Richardson Explicit Approximation / 4.3.3.:
The Backwards Implicit Approximation / 4.3.4.:
The Crank-Nicolson Implicit Approximation / 4.3.5.:
The Variable-Weighted Implicit Approximation / 4.3.6.:
Consistency and Convergence / 4.4.:
Stability / 4.5.:
Heuristic Stability / 4.5.1.:
Von Neumann Stability / 4.5.2.:
Matrix Stability / 4.5.3.:
Some Extensions / 4.6.:
Influence of Lower-Order Terms / 4.6.1.:
Higher-Order Forms / 4.6.2.:
Predictor-Corrector Methods / 4.6.3.:
Asymmetric Approximations / 4.6.4.:
Variable Coefficients / 4.6.5.:
Nonlinear Parabolic PDEs / 4.6.6.:
The Box Method / 4.6.7.:
Solution of Finite Difference Approximations / 4.7.:
Solution of Implicit Approximations / 4.7.1.:
Explicit versus Implicit Approximations / 4.7.2.:
Composite Solutions / 4.8.:
Global Extrapolation / 4.8.1.:
Some Numerical Results / 4.8.2.:
Local Combination / 4.8.3.:
Composites of Different Approximations / 4.8.4.:
Finite Difference Approximations in Two Space Dimensions / 4.9.:
Explicit Methods / 4.9.1.:
Irregular Boundaries / 4.9.2.:
Implicit Methods / 4.9.3.:
Alternating Direction Explicit (ADE) Methods / 4.9.4.:
Alternating Direction Implicit (ADI) Methods / 4.9.5.:
LOD and Fractional Splitting Methods / 4.9.6.:
Hopscotch Methods / 4.9.7.:
Mesh Refinement / 4.9.8.:
Three-Dimensional Problems / 4.10.:
ADI Methods / 4.10.1.:
Iterative Solutions / 4.10.2.:
Finite Element Solution of Parabolic Partial Differential Equations / 4.11.:
Galerkin Approximation to the Model Parabolic Partial Differential Equation / 4.11.1.:
Approximation of the Time Derivative / 4.11.2.:
Approximation of the Time Derivative for Weakly Nonlinear Equations / 4.11.3.:
Finite Element Approximations in One Space Dimension / 4.12.:
Formulation of the Galerkin Approximating Equations / 4.12.1.:
Linear Basis Function Approximation / 4.12.2.:
Higher-Degree Polynomial Basis Function Approximation / 4.12.3.:
Formulation Using the Dirac Delta Function / 4.12.4.:
Orthogonal Collocation Formulation / 4.12.5.:
Asymmetric Weighting Functions / 4.12.6.:
Finite Element Approximations in Two Space Dimensions / 4.13.:
Galerkin Approximation in Space and Time / 4.13.1.:
Galerkin Approximation in Space Finite Difference in Time / 4.13.2.:
Asymmetric Weighting Functions in Two Space Dimensions / 4.13.3.:
Lumped and Consistent Time Matrices / 4.13.4.:
Collocation Finite Element Formulation / 4.13.5.:
Treatment of Sources and Sinks / 4.13.6.:
Alternating Direction Formulation / 4.13.7.:
Finite Element Approximations in Three Space Dimensions / 4.14.:
Example Problem / 4.14.1.:
Summary / 4.15.:
Elliptic Partial Differential Equations / Chapter 5.:
Model Elliptic PDEs / 5.0.:
Specific Elliptic PDEs / 5.1.1.:
Further Items / 5.1.2.:
Finite Difference Solutions in Two Space Dimensions / 5.2.:
Five-Point Approximations and Truncation Error / 5.2.1.:
Nine-Point Approximations and Truncation Error / 5.2.2.:
Approximations to the Biharmonic Equation / 5.2.3.:
Boundary Condition Approximations / 5.2.4.:
Matrix Form of Finite Difference Equations / 5.2.5.:
Direct Methods of Solution / 5.2.6.:
Iterative Concepts / 5.2.7.:
Formulation of Point Iterative Methods / 5.2.8.:
Convergence of Point Iterative Methods / 5.2.9.:
Line and Block Iteration Methods / 5.2.10.:
Acceleration and Semi-Iterative Overlays / 5.2.11.:
Finite Difference Solutions in Three Space Dimensions / 5.3.:
Iteration Concepts / 5.3.1.:
Finite Element Methods for Two Space Dimensions / 5.3.3.:
Galerkin Approximation / 5.4.1.:
Collocation Approximation / 5.4.2.:
Mixed Finite Element Approximation / 5.4.4.:
Approximation of the Biharmonic Equation / 5.4.5.:
Boundary Integral Equation Methods / 5.5.:
Fundamental Theory / 5.5.1.:
Boundary Element Formulation / 5.5.2.:
Linear Interpolation Functions / 5.5.3.:
Poisson's Equation / 5.5.5.:
Nonhomogeneous Materials / 5.5.6.:
Combination of Finite Element and Boundary Integral Equation Methods / 5.5.7.:
Three-Dimensional Finite Element Simulation / 5.6.:
Hyperbolic Partial Differential Equations / 5.7.:
Equations of Hyperbolic Type / 6.0.:
Finite Difference Solution of First-Order Scalar Hyperbolic Partial Differential Equations / 6.2.:
Stability, Truncation Error, and Other Features / 6.2.1.:
Other Approximations / 6.2.2.:
Dissipation and Dispersion / 6.2.3.:
Hopscotch Methods and Mesh Refinement / 6.2.4.:
Finite Difference Solution of First-Order Vector Hyperbolic Partial Differential Equations / 6.3.:
Finite Difference Solution of First-Order Vector Conservative Hyperbolic Partial Differential Equations / 6.4.:
Finite Difference Solutions to Two- and Three-Dimensional Hyperbolic Partial Differential Equations / 6.5.:
Finite Difference Schemes / 6.5.1.:
Two-Step, ADI, and Strang-Type Algorithms / 6.5.2.:
Conservative Hyperbolic Partial Differential Equations / 6.5.3.:
Finite Difference Solution of Second-Order Model Hyperbolic Partial Differential Equations / 6.6.:
One-Space-Dimension Hyperbolic Partial Differential Equation / 6.6.1.:
Explicit Algorithms / 6.6.2.:
Implicit Algorithms / 6.6.3.:
Simultaneous First-Order Partial Differential Equations / 6.6.4.:
Mixed Systems / 6.6.5.:
Two- and Three-Space-Dimensional Hyperbolic Partial Differential Equations / 6.6.6.:
Implicit ADI and LOD Methods / 6.6.7.:
Finite Element Solution of First-Order Model Hyperbolic Partial Differential Equations / 6.7.:
Asymmetric Weighting Function Approximation / 6.7.1.:
An H[superscript -1] Galerkin Approximation / 6.7.3.:
Orthogonal Collocation with Asymmetric Bases / 6.7.4.:
Finite Element Solution of Two- and Three-Space-Dimensional First-Order Hyperbolic Partial Differential Equations / 6.7.6.:
Galerkin Finite Element Formulation / 6.8.1.:
Finite Element Solution of First-Order Vector Hyperbolic Partial Differential Equations / 6.8.2.:
Finite Element Solution of Two- and Three-Space-Dimensional First-Order Vector Hyperbolic Partial Differential Equations / 6.9.1.:
Finite Element Solution of One-Space-Dimensional Second-Order Hyperbolic Partial Differential Equations / 6.10.1.:
Time Approximations / 6.11.1.:
Finite Element Solution of Two- and Three-Space-Dimensional Second-Order Hyperbolic Partial Differential Equations / 6.11.3.:
Index / 6.12.1.:
Fundamental Concepts / Chapter 1.:
Notation / 1.0.:
First-Order Partial Differential Equations / 1.1.:
69.

図書

図書
Harry F. Martz and Ray A. Waller
出版情報: New York : Wiley, c1982  xix, 745 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Applied probability and statistics
所蔵情報: loading…
70.

図書

図書
D.V. Anosov, V.I. Arnold (eds.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1988  vi, 233 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 1 . Dynamical systems ; 1
所蔵情報: loading…
71.

図書

図書
J. A. Walker
出版情報: New York : Plenum Press, c1980  viii, 236 p. ; 24 cm
シリーズ名: Mathematical concepts and methods in science and engineering ; v. 20
所蔵情報: loading…
72.

図書

図書
Avner Friedman
出版情報: New York : Wiley, c1982  ix, 710 p. ; 24 cm
シリーズ名: Pure and applied mathematics
所蔵情報: loading…
73.

図書

図書
edited by P.R. Krishnaiah
出版情報: Amsterdam : North-Holland , New York : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1980  xvii, 1002 p. ; 25 cm
シリーズ名: Handbook of statistics ; v. 1
所蔵情報: loading…
74.

雑誌

雑誌
出版情報: San Diego : Academic Press, c1987-  v. ; 23 cm
巻次年月次: Vol. 72, no. 1 (Jan. 1987)-
所蔵情報: loading…
75.

図書

図書
Rupert G. Miller, Jr
出版情報: New York : Springer, c1981  xvi, 299 p. ; 25 cm
シリーズ名: Springer series in statistics
所蔵情報: loading…
76.

図書

図書
A.S. Davydov ; translated by Eugene S. Kryachko
出版情報: Dordrecht : D. Reidel, c1985  xviii, 319 p. ; 23 cm
シリーズ名: Mathematics and its applications ; Soviet ser.
所蔵情報: loading…
77.

図書

図書
H. Heyer
出版情報: New York : Springer-Verlag, c1982  x, 289 p. ; 25 cm
シリーズ名: Springer series in statistics
所蔵情報: loading…
78.

図書

図書
Peter J. Huber
出版情報: New York : Wiley, c1981  ix, 308 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Probability and mathematical statistics
所蔵情報: loading…
79.

図書

図書
Shui-Nee Chow, Jack K. Hale
出版情報: New York ; Berlin : Springer-Verlag, c1982  xv, 515 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 251
所蔵情報: loading…
80.

図書

図書
J.D. Kalbfleisch, R.L. Prentice
出版情報: New York : Wiley, c1980  xi, 321 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics
所蔵情報: loading…
目次情報: 続きを見る
Preface
Introduction / 1.:
Failure Time Data / 1.1:
Failure Time Distributions / 1.2:
Time Origins, Censoring, and Truncation / 1.3:
Estimation of the Survivor Function / 1.4:
Comparison of Survival Curves / 1.5:
Generalizations to Accommodate Delayed Entry / 1.6:
Counting Process Notation / 1.7:
Bibliographic Notes
Exercises and Complements
Failure Time Models / 2.:
Some Continuous Parametric Failure Time Models / 2.1:
Regression Models / 2.3:
Discrete Failure Time Models / 2.4:
Inference in Parametric Models and Related Topics / 3.:
Censoring Mechanisms / 3.1:
Censored Samples from an Exponential Distribution / 3.3:
Large-Sample Likelihood Theory / 3.4:
Exponential Regression / 3.5:
Estimation in Log-Linear Regression Models / 3.6:
Illustrations in More Complex Data Sets / 3.7:
Discrimination Among Parametric Models / 3.8:
Inference with Interval Censoring / 3.9:
Discussion / 3.10:
Relative Risk (Cox) Regression Models / 4.:
Estimation of [beta] / 4.1:
Estimation of the Baseline Hazard or Survivor Function / 4.3:
Inclusion of Strata / 4.4:
Illustrations / 4.5:
Counting Process Formulas / 4.6:
Related Topics on the Cox Model / 4.7:
Sampling from Discrete Models / 4.8:
Counting Processes and Asymptotic Theory / 5.:
Counting Processes and Intensity Functions / 5.1:
Martingales / 5.3:
Vector-Valued Martingales / 5.4:
Martingale Central Limit Theorem / 5.5:
Asymptotics Associated with Chapter 1 / 5.6:
Asymptotic Results for the Cox Model / 5.7:
Asymptotic Results for Parametric Models / 5.8:
Efficiency of the Cox Model Estimator / 5.9:
Partial Likelihood Filtration / 5.10:
Likelihood Construction and Further Results / 6.:
Likelihood Construction in Parametric Models / 6.1:
Time-Dependent Covariates and Further Remarks on Likelihood Construction / 6.3:
Time Dependence in the Relative Risk Model / 6.4:
Nonnested Conditioning Events / 6.5:
Residuals and Model Checking for the Cox Model / 6.6:
Rank Regression and the Accelerated Failure Time Model / 7.:
Linear Rank Tests / 7.1:
Development and Properties of Linear Rank Tests / 7.3:
Estimation in the Accelerated Failure Time Model / 7.4:
Some Related Regression Models / 7.5:
Competing Risks and Multistate Models / 8.:
Competing Risks / 8.1:
Life-History Processes / 8.3:
Modeling and Analysis of Recurrent Event Data / 9.:
Intensity Processes for Recurrent Events / 9.1:
Overall Intensity Process Modeling and Estimation / 9.3:
Mean Process Modeling and Estimation / 9.4:
Conditioning on Aspects of the Counting Process History / 9.5:
Analysis of Correlated Failure Time Data / 10.:
Regression Models for Correlated Failure Time Data / 10.1:
Representation and Estimation of the Bivariate Survivor Function / 10.3:
Pairwise Dependency Estimation / 10.4:
Illustration: Australian Twin Data / 10.5:
Approaches to Nonparametric Estimation of the Bivariate Survivor Function / 10.6:
Survivor Function Estimation in Higher Dimensions / 10.7:
Additional Failure Time Data Topics / 11.:
Stratified Bivariate Failure Time Analysis / 11.1:
Fixed Study Period Survival Studies / 11.3:
Cohort Sampling and Case-Control Studies / 11.4:
Missing Covariate Data / 11.5:
Mismeasured Covariate Data / 11.6:
Sequential Testing with Failure Time Endpoints / 11.7:
Bayesian Analysis of the Proportional Hazards Model / 11.8:
Some Analyses of a Particular Data Set / 11.9:
Glossary of Notation
Some Sets of Data / Appendix A:
Supporting Technical Material / Appendix B:
Bibliography
Author Index
Subject Index
Preface
Introduction / 1.:
Failure Time Data / 1.1:
81.

図書

図書
M.B. Priestley
出版情報: London : New York : Academic Press, c1981  2 v. (xvii, [45], 890 p.) ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks
所蔵情報: loading…
目次情報:
v. 1. Univariate series
v. 2. Multivariate series, prediction and control
v. 1. Univariate series
v. 2. Multivariate series, prediction and control
82.

図書

図書
Samuel Karlin, Howard M. Taylor
出版情報: New York : Academic Press, c1981  xviii, 542 p. ; 24 cm
所蔵情報: loading…
目次情報: 続きを見る
Preface
Preface to A First Course
Preface to First Edition
Contents of A First Course
Algebraic Methods in Markov Chains
Ratio Theorems of Transition Probabilities and Applications
Sums of Independent Random Variables as a Markov Chain
Order Statistics, Poisson Processes, and Applications
Continuous Time Markov Chains
Diffusion Processes
Compounding Stochastic Processes
Fluctuation Theory of Partial Sums of Independent Identically Distributed Random Variables
Queueing Processes
Miscellaneous Problems
Index
Preface
Preface to A First Course
Preface to First Edition
83.

図書

図書
Klaus Deimling
出版情報: Berlin ; Tokyo : Springer-Verlag, c1985  xiv, 450 p. ; 25 cm
所蔵情報: loading…
84.

図書

図書
Stewart N. Ethier and Thomas G. Kurtz
出版情報: New York : Wiley, c1986  x, 534 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Probability and mathematical statistics
所蔵情報: loading…
目次情報: 続きを見る
Operator Semigroups
Stochastic Processes and Martingales
Convergence of Probability Measures
Generators and Markov Processes
Stochastic Integral Equations
Random Time Changes
Invariance Principles and Diffusion Approximations
Examples of Generators
Branching Processes
Genetics Models
Density Dependent Population Processes
Random Evolutions
Appendixes
References
Index
Operator Semigroups
Stochastic Processes and Martingales
Convergence of Probability Measures
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼