| 1.
|
図書
|
Jack Hale
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| 2.
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図書
|
[by] R. O. Wells, Jr
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| 3.
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図書
|
Robert Gilmore
| 出版情報: |
New York : Wiley, c1974 xx, 587 p. ; 23 cm |
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| 4.
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図書
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R.K. Sachs, H. Wu
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| 5.
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図書
|
R. B. Burckel
|
| 6.
|
図書
|
George E.P. Box, William G. Hunter, J. Stuart Hunter
目次情報:
続きを見る
| Science and Statistics |
| Comparing Two Treatments |
| Use of External Reference Distribution to Compare Two Means |
| Random Sampling and the Declaration of Independence |
| Randomization and Blocking with Paired Comparisons |
| Significance Tests and Confidence Intervals for Means, Variances, Proportions and Frequences |
| Comparing More Than Two Treatments |
| Experiments to Compare k Treatment Means |
| Randomized Block and Two-Way Factorial Designs |
| Designs with More Than One Blocking Variable |
| Measuring the Effects of Variables |
| Empirical Modeling |
| Factorial Designs at Two Levels |
| More Applications of Factorial Designs |
| Fractional Factorial Designs at Two Levels |
| More Applications of Fractional Factorial Designs |
| Building Models and Using Them |
| Simple Modeling with Least Squares (Regression Analysis) |
| Response Surface Methods |
| Mechanistic Model Building |
| Study of Variation |
| Modeling Dependence: Times Series |
| Appendix Tables |
| Index |
| Science and Statistics |
| Comparing Two Treatments |
| Use of External Reference Distribution to Compare Two Means |
|
| 7.
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図書
|
edited by A. P. Carter and A. Bródy
|
| 8.
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図書
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by Robert B. Burckel
|
| 9.
|
図書
|
Lamberto Cesari
|
| 10.
|
図書
|
I. U. Bronšteǐn ; edited by Dr. S. Swierczkowski
| 出版情報: |
Alphen aan den Rijn, Germantown : Sijthoff & Noordhoff International Publishers, 1979 viii, 319 p. ; 25 cm |
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| 11.
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図書
|
ed. [by] David B. Cline [and] Frederick E. Mills
| 出版情報: |
London : Harwood Academic Pub., [1978?] xx, 770p. ; 22 cm |
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| 12.
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図書
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edited by Felix E. Browder
| 出版情報: |
Berlin ; New York : Springer, 1970 241 p. ; 24 cm |
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| 13.
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図書
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edited by D.J.A. Welsh
| 出版情報: |
London ; New York : Academic Press, 1971 x, 364 p. ; 24 cm |
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| 14.
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図書
|
Wilhelm Klingenberg
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| 15.
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図書
|
Andre Lichnerowicz ; translated and edited by Michael Cole
| 出版情報: |
Leyden : Noordhoff International Pub., [1976] xiv, 250 p. ; 25 cm |
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| 16.
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図書
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edited by B. Bollobás
|
| 17.
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図書
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edited by Lars V. Ahlfors ... [et al.]
|
| 18.
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図書
|
Masanao Aoki
|
| 19.
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図書
|
Alexander Abian
| 出版情報: |
New York : Pergamon Press, c1971 vii, 166 p. ; 24 cm |
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| 20.
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図書
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edited by J. M. Mendel and K. S. Fu
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| 21.
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図書
|
edited by Robert Burridge
| 出版情報: |
Providence, R.I. : American Mathematical Society, c1979 vi, 169 p. ; 26 cm |
| シリーズ名: |
SIAM-AMS proceedings ; v. 12 |
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| 22.
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図書
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[edited by Herbert S. Wilf and Frank Harary]
| 出版情報: |
Providence, R.I. : American Mathematical Society, 1971 206 p. ; 26 cm |
| シリーズ名: |
SIAM-AMS proceedings ; v. 3 |
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| 23.
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図書
|
Harry C. Andrews ; with contributions by William K. Pratt and Kenneth Caspari
| 出版情報: |
New York : Academic Press, 1970 ix, 187 p. ; 24 cm |
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| 24.
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図書
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Edward Angel, Richard Bellman
|
| 25.
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図書
|
C.H. Edwards, Jr
| 出版情報: |
New York ; Heidelberg ; Berlin ; Tokyo : Springer-Verlag, c1979 xii, 351 p. ; 25 cm |
| 子書誌情報: |
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目次情報:
続きを見る
| Area Number and Limit Concepts in Antiquity / 1： |
| Archimedes / 2： |
| Twilight, Darkness and Dawn / 3： |
| Early Indivisibles and Infinitesimal Techniques / 4： |
| Early Tangent Constructions / 5： |
| Napier's Wonderful Logarithms / 6： |
| The Arithmetic of the Infinite / 7： |
| The Calculus According to Newton / 8： |
| The Calculus According to Leibniz / 9： |
| The Age of Euler / 10： |
| The Calculus According to Cauchy, Riemann and Weierstrass / 11： |
| Postscript: The Twentieth Century / 12： |
| Index |
| Area Number and Limit Concepts in Antiquity / 1： |
| Archimedes / 2： |
| Twilight, Darkness and Dawn / 3： |
|
| 26.
|
図書
|
J.F. Adams
目次情報:
続きを見る
| Preface |
| S.P. Novikov's Work on Operations on Complex Cobordism / Pt. I： |
| Cobordism groups / 2： |
| Homology / 3： |
| The Conner-Floyd Chern classes / 4： |
| The Novikov operations / 5： |
| The algebra of all operations / 6： |
| Scholium on Novikov's exposition / 7： |
| Complex manifolds / 8： |
| Quillen's Work on Formal Groups and Complex Cobordism / Pt. II： |
| Formal groups / 1： |
| Examples from algebraic topology |
| Reformulation |
| Calculations in E-homology and cohomology |
| Lazard's universal ring |
| More calculations in E-homology |
| The structure of Lazard's universal ring L |
| Quillen's theorem |
| Corollaries / 9： |
| Various formulae in [pi][subscript *](MU) / 10： |
| MU[subscript *](MU) / 11： |
| Behaviour of the Bott map / 12： |
| K[subscript *](K) / 13： |
| The Hattori-Stong theorem / 14： |
| Quillen's idempotent cohomology operations / 15： |
| The Brown-Peterson spectrum / 16： |
| KO[subscript *](KO) / 17： |
| Stable Homotopy and Generalised Homology / Pt. III： |
| Spectra |
| Elementary properties of the category of CW-spectra |
| Smash products |
| Spanier-Whitehead duality |
| Homology and cohomology |
| The Atiyah-Hirzebruch spectral sequence |
| The inverse limit and its derived functors |
| Products |
| Duality in manifolds |
| Applications in K-theory |
| The Steenrod algebra and its dual |
| A universal coefficient theorem |
| A category of fractions |
| The Adams spectral sequence |
| Applications to [pi][subscript *](bu[actual symbol not reproducible]X): modules over K[x, y] |
| Structure of [pi][subscript *](bu[actual symbol not reproducible]bu) |
| Preface |
| S.P. Novikov's Work on Operations on Complex Cobordism / Pt. I： |
| Cobordism groups / 2： |
|
| 27.
|
図書
|
J. Aczél, Z. Daróczy
|
| 28.
|
図書
|
edited by Yu. A. Mitropoliskii ; translated from the Russian by V. Kumar ; translation editor Alan Jeffery
| 出版情報: |
Delhi : Hindustan Pub. Corp. (India) , Bristol : distributed by A. Hilger, 1977 viii, 199 p. ; 26 cm |
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| 29.
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図書
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edited by V. Lakshmikantham
| 出版情報: |
New York : Academic Press, 1979 xx, 726 p. ; 24 cm |
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| 30.
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図書
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edited by G.G. Lorentz, C.K. Chui, L.L. Schumaker
| 出版情報: |
New York : Academic Press, 1976 xi, 588 p. ; 24 cm |
| 子書誌情報: |
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| 31.
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図書
|
R.E. Barlow ... [et al.]
|
| 32.
|
図書
|
O. Barndorff-Nielsen
|
| 33.
|
図書
|
Donald W. Barnes, John M. Mack
|
| 34.
|
図書
|
[by] Arthur Albert
|
| 35.
|
図書
|
edited by G. Pollák
|
| 36.
|
図書
|
[by] Erik M. Alfsen
|
| 37.
|
図書
|
[by] Carl B. Allendoerfer
| 出版情報: |
New York : Macmillan, [1974] xi, 227 p. ; 26 cm |
| 子書誌情報: |
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| 38.
|
図書
|
Karl J. Åström
目次情報:
続きを見る
| Preface |
| Contents |
| Overview / 1： |
| Methods of Operator Approximation in System Modelling / I： |
| Nonlinear Operator Approximation with Preassigned Accuracy / 2： |
| Introduction / 2.1： |
| Generic formulation of the problem / 2.2： |
| Operator approximation in space C([0; 1]) / 2.3： |
| Operator approximation in Banach spaces by polynomial operators / 2.4： |
| Approximation on compact sets in topological vector spaces / 2.5： |
| Approximation on noncompact sets in Hilbert spaces / 2.6： |
| Special results for maps into Banach spaces / 2.7： |
| Concluding remarks / 2.8： |
| Interpolation of Nonlinear Operators 65 / 3： |
| Lagrange interpolation in Banach spaces / 3.1： |
| Weak interpolation of nonlinear operators / 3.3： |
| Some related results / 3.4： |
| Realistic Operators and their Approximation / 3.5： |
| Formalization of concepts related to description of real-world objects / 4.1： |
| Approximation of RÂícontinuous operators / 4.3： |
| Methods of Best Approximation for Nonlinear Operators / 4.4： |
| Best Approximation of nonlinear operators in Banach spaces: Deterministic case / 5.1： |
| Estimation of mean and covariance matrix for random vectors / 5.3： |
| Best Hadamard-quadratic approximation / 5.4： |
| Best polynomial approximation / 5.5： |
| Best causal approximation / 5.6： |
| Best hybrid approximations / 5.7： |
| Optimal Estimation of Random Vectors / 5.8： |
| Computational Methods for Optimal Filtering of Stochastic Signals / 6： |
| Optimal linear Filtering in Finite dimensional vector spaces / 6.1： |
| Optimal linear Filtering in Hilbert spaces / 6.3： |
| Optimal causal linear Filtering with piecewise constant memory / 6.4： |
| Optimal causal polynomial Filtering with arbitrarily variable memory / 6.5： |
| Optimal nonlinear Filtering with no memory constraint / 6.6： |
| Computational Methods for Optimal Compression and Reconstruction of Random Data / 6.7： |
| Standard Principal Component Analysis and Karhunen-Loeeve transform (PCA{KLT) / 7.1： |
| Rank-constrained matrix approximations / 7.3： |
| Generic PCA{KLT / 7.4： |
| Optimal hybrid transform based on Hadamard-quadratic approximation / 7.5： |
| Optimal transform formed by a combination of nonlinear operators / 7.6： |
| Optimal generalized hybrid transform / 7.7： |
| Bibliography / 7.8： |
| Index |
| Preface |
| Contents |
| Overview / 1： |
|
| 39.
|
図書
|
edited by A.O.L. Atkin and B.J. Birch
| 出版情報: |
London ; New York : Academic Press, 1971 xvii, 433 p. ; 24 cm |
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| 40.
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図書
|
F.V. Atkinson
|
| 41.
|
図書
|
edited by Ted Bastin
| 出版情報: |
Cambridge, [Eng.] : At the University Press, 1971 viii, 345 p. ; 24 cm |
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目次情報:
続きを見る
| List of participants |
| Preface |
| Introduction / Part I： |
| The function of the colloquium - editorial / 1： |
| The conceptual problem of quantum theory from the experimentalist's point of view / O. R. Frisch2： |
| Niels Bohr and Complementarity: The Place of the Classical Language / Part II： |
| The Copenhagen interpretation / C. F. von WeizsÃñcker3： |
| On Bohr's views concerning the quantum theory / D. Bohm4： |
| The Measurement Problem / Part III： |
| Quantal observation in statistical interpretation / H. J. Groenewold5： |
| Macroscopic physics, quantum mechanics and quantum theory of measurement / G. M. Prosperi6： |
| Comment on the Daneri-Loinger-Prosperi quantum theory of measurement / Jeffrey Bub7： |
| The phenomenology of observation and explanation in quantum theory / J. H. M. Whiteman8： |
| Measurement theory and complex systems / M. A. Garstens9： |
| New Directions within Quantum Theory: What does the Quantum Theoretical Formalism Really Tell Us? / Part IV： |
| On the role of hidden variables in the fundamental structure of physics / 10： |
| Beyond what? Discussion: space-time order within existing quantum theory / C. W. Kilmister11： |
| Definability and measurability in quantum theory / Yakir Aharonov ; Aage Petersen12： |
| The bootstrap idea and the foundations of quantum theory / Geoffrey F. Chew13： |
| A Fresh Start? / Part V： |
| Angular momentum: an approach to combinatorial space-time / Roger Penrose14： |
| A note on discreteness, phase space and cohomology theory / B. J. Hiley15： |
| Cohomology of observations / R. H. Atkin16： |
| The origin of half-integral spin in a discrete physical space / Ted Bastin17： |
| Philosophical Papers / Part VI： |
| The unity of physics / 18： |
| A philosophical obstacle to the rise of new theories in microphysics / Mario Bunge19： |
| The incompleteness of quantum mechanics or the emperor's missing clothes / H. R. Post20： |
| How does a particle get from A to B? / 21： |
| Informational generalization of entropy in physics / Jerome Rothstein22： |
| Can life explain quantum mechanics? / H. H. Pattee23： |
| Discussion: phenomena and sense data in quantum theory / D. S. Linney24： |
| Index of persons |
| Index of subjects |
| List of participants |
| Preface |
| Introduction / Part I： |
|
| 42.
|
図書
|
Ararat Babakhanian
|
| 43.
|
図書
|
by Christopher T.H. Baker
|
| 44.
|
図書
|
N. S. Bakhvalov ; translated from the Russian by George Yankovsky
| 出版情報: |
Moscow : MIR Publishers, 1977 663 p. ; 22 cm |
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| 45.
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図書
|
D.J. Bartholomew
|
| 46.
|
図書
|
A.F. Beardon
| 出版情報: |
Chichester [Eng.] ; New York : Wiley, c1979 xiii, 239 p. ; 23 cm |
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| 47.
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図書
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by Hans-Jochen Bartsch ; translation by Herbert Liebscher
| 出版情報: |
New York : Academic Press, c1974 528 p. ; 20 cm |
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| 48.
|
図書
|
Vic Barnett and Toby Lewis
|
| 49.
|
図書
|
editors, A.K. Aziz, J.W. Wingate, M.J. Balas
| 出版情報: |
New York : Academic Press, 1977 ix, 278 p. ; 24 cm |
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| 50.
|
図書
|
Homer Bechtell
|
| 51.
|
図書
|
Anatole Beck ; with the assistance of Jonathan and Mirit Lewin
|
| 52.
|
図書
|
James V. Beck and Kenneth J. Arnold
|
| 53.
|
図書
|
Stanley H. Benton, Jr
|
| 54.
|
図書
|
Melvin S. Berger
|
| 55.
|
図書
|
by J.L. Bell
| 出版情報: |
Oxford : Clarendon Press, 1977 xviii, 126 p. ; 24 cm |
| シリーズ名: |
Oxford logic guides |
| 子書誌情報: |
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| 56.
|
図書
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[by] Sterling K. Berberian
|
| 57.
|
図書
|
Christian Berg, Gunnar Forst
|
| 58.
|
図書
|
Richard Bellman and Charlene Paule Smith
|
| 59.
|
図書
|
[by] Edward J. Beltrami
|
| 60.
|
図書
|
John Benedetto
|
| 61.
|
図書
|
edited by Arthur W. Burks
| 出版情報: |
Urbana : University of Illinois Press, 1970 xxvi, 375 p. ; 24 cm |
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| 62.
|
図書
|
by Maurice A. Biot
|
| 63.
|
図書
|
Marcello Boldrini ; translated from the Italian by Ruth Kendall
| 出版情報: |
London : Griffin, 1972 xiv, 264 p., leaf ; 24 cm |
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| 64.
|
図書
|
Thomas L. Boullion, Patrick L. Odell
| 出版情報: |
New York : Wiley-Interscience, c1971 x, 103 p. ; 23 cm |
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| 65.
|
図書
|
Nicolas Bourbaki
|
| 66.
|
図書
|
Nicolas Bourbaki
|
| 67.
|
図書
|
Nicolas Bourbaki
|
| 68.
|
図書
|
Barron Brainerd
|
| 69.
|
図書
|
James R. Brown
|
| 70.
|
図書
|
Robert F. Brown
| 出版情報: |
Glenview, Ill. : Scott, Foresman, c1971 vi, 186 p. ; 24 cm |
| 子書誌情報: |
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| 71.
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図書
|
[by] Garrett Birkhoff and Thomas C. Bartee
| 出版情報: |
New York : McGraw-Hill, c1970 xi, 431 p. ; 23 cm |
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| 72.
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図書
|
S. M. Blinder
| 出版情報: |
London ; New York : Academic Press, 1974 ix, 226 p. ; 24 cm |
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| 73.
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図書
|
[by] Stephen R. Bernfeld [and] V. Lakshmikantham
|
| 74.
|
図書
|
Stanislaw Ulam ; edited by W.A. Beyer, J. Mycielski, and G.-C. Rota
|
| 75.
|
図書
|
[by] M. Bongard ; edited by Joseph K. Hawkins ; translated by Theodore Cheron
| 出版情報: |
New York : Spartan Books, [1970] xvii, 253 p. ; 25 cm |
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| 76.
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図書
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translated [from the German] by F. M. Arscott
| 出版情報: |
London : English Universities Press, 1971 xvi, 254 p ; 24 cm |
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| 77.
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図書
|
Ray M. Bowen and C.-C. Wang
|
| 78.
|
図書
|
Siegmund Brandt
| 出版情報: |
Amsterdam : North-Holland Pub. Co. , New York : American Elsevier Pub. Co., 1970 xii, 322 p ; 23 cm |
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| 79.
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図書
|
by A.T. Bharucha-Reid
|
| 80.
|
図書
|
Gouri K. Bhattacharyya, Richard A. Johnson
目次情報:
続きを見る
| Introduction |
| Descriptive Study of Data |
| Elements of Probability |
| Random Variables and Probability Distributions |
| Distributions for Counts |
| Basic Concepts of Testing Hypotheses |
| The Normal Distribution and Random Samples |
| Inferences about a Population |
| Comparing Two Treatments |
| Regression Analysis: Simple Linear Relation |
| Regression Analysis: Model Checking and Multiple Linear Regression |
| Correlation: A Measure of Linear Relationship |
| Analysis of Categorized Data |
| Design of Experiments and Analysis of Variance |
| Nonparametric Inference |
| Sample Surveys |
| Introduction |
| Descriptive Study of Data |
| Elements of Probability |
|
| 81.
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図書
|
R. N. Bhattacharya, R. Ranga Rao
|
| 82.
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図書
|
editor, A. T. Bharucha-Reid
|
| 83.
|
図書
|
U. Narayan Bhat
目次情報:
続きを見る
| Preface |
| Stochastic Processes: Description and Definition / 1： |
| Introduction / 1.1： |
| Description and Definition / 1.2： |
| Probability Distributions / 1.3： |
| The Markov Process / 1.4： |
| The Renewal Process / 1.5： |
| The Stationary Process / 1.6： |
| A Plan for the Remaining Chapters / 1.7： |
| References |
| Exercises |
| Elementary Review Exercises |
| Advanced Review Exercises |
| Markov Chains / 2： |
| The n-Step Transition Probability Matrix / 2.1： |
| Classification of States / 2.3： |
| A Canonical Representation of the Transition Probability Matrix / 2.4： |
| Classification of States in Practice / 2.5： |
| Finite Markov Chains with Transient States / 2.6： |
| Irreducible Markov Chains with Ergodic States / 3： |
| Transient Behavior / 3.1： |
| Limiting Behavior / 3.2： |
| First Passage and Related Results / 3.3： |
| Branching Processes and other Special Topics / 4： |
| Branching Processes / 4.1： |
| Markov Chains of Order Higher than 1 / 4.2： |
| Lumpable Markov Chains / 4.3： |
| Reversed Markov Chains / 4.4： |
| Statistical Inference for Markov Chains / 5： |
| Estimation of the Elements in a Transition Probability Matrix / 5.1： |
| Hypothesis Testing Issues for Markov Chains / 5.2： |
| Inference From Partially Observable Markov Chains / 5.3： |
| Statistical Inference for Branching Processes / 5.4： |
| Additional Comments / 5.5： |
| Applied Markov Chains / 6： |
| Queueing Models / 6.1： |
| Inventory Systems / 6.2： |
| Storage Models / 6.3： |
| Industrial Mobility of Labor / 6.4： |
| Educational Advancement / 6.5： |
| Human Resource Management / 6.6： |
| Term Structure / 6.7： |
| Income Determination under Uncertainty / 6.8： |
| A Markov Decision Process / 6.9： |
| Simple Markov Processes / 7： |
| Examples / 7.1： |
| Markov Processes: General Properties / 7.2： |
| The Poisson Process / 7.3： |
| The Pure Birth Process / 7.4： |
| The Pure Death Process / 7.5： |
| Birth and Death Processes / 7.6： |
| Limiting Distributions / 7.7： |
| Markovian Networks / 7.8： |
| Additional Examples / 7.9： |
| Statistical Inference for Simple Markov Processes / 8： |
| Estimation of Parameters / 8.1： |
| Hypothesis Testing for Simple Markov Processes / 8.2： |
| Statistical Inference for Queues / 8.3： |
| Applied Markov Processes / 8.4： |
| The Machine Interference Problem / 9.1： |
| Queueing Networks / 9.3： |
| Flexible Manufacturing Systems / 9.4： |
| Reliability Models / 9.5： |
| Markovian Combat Models / 9.7： |
| Stochastic Models for Social Networks / 9.8： |
| Recovery, Relapse, and Death Due to Disease / 9.9： |
| Renewal Processes / 10： |
| Renewal Processes when Time is Discrete / 10.1： |
| Renewal Processes when Time is Continuous / 10.3： |
| Alternating Renewal Processes / 10.4： |
| Markov Renewal Processes (Semi-Markov Processes) / 10.5： |
| Renewal Reward Processes / 10.6： |
| Statistical Inference for Renewal Processes / 10.7： |
| Stationary Processes and Time Series Analysis / 10.8： |
| Definition / 11.1： |
| Some Examples / 11.2： |
| Ergodic Theorems / 11.3： |
| Covariance Stationary Processes in the Frequency Domain / 11.4： |
| Time Series Analysis: Introduction / 11.5： |
| Stochastic Models for Time Series / 11.6： |
| The Autoregressive Process / 11.7： |
| The Moving Average Process / 11.8： |
| A Mixed Autoregressive Moving Average Process / 11.9： |
| Autoregressive Integrated Moving Average Processes / 11.10： |
| Time Series Analysis in the Time Domain / 11.11： |
| Spectral Analysis of Time Series Data / 11.12： |
| Simulation and Markov Chain Monte Carlo / 12： |
| Simulation / 12.1： |
| Markov Chain Monte Carlo / 12.3： |
| Answers to Selected Exercises |
| Appendix |
| Author Index |
| Subject Index |
| Preface |
| Stochastic Processes: Description and Definition / 1： |
| Introduction / 1.1： |
|
| 84.
|
図書
|
Gerald J. Bierman
|
| 85.
|
図書
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by George E.P. Box and Gwilym M. Jenkins
|
| 86.
|
図書
|
[by] Umberto Bertelè and Francesco Brioschi
|
| 87.
|
図書
|
Patrick Billingsley
|
| 88.
|
図書
|
János Bognár
|
| 89.
|
図書
|
[by] F.F. Bonsall [and] J. Duncan
|
| 90.
|
図書
|
F.F. Bonsall and J. Duncan
目次情報:
続きを見る
| Numerical range in unital normed algebras / 1： |
| Hermitian elements of a complex unital Banach algebra / 2： |
| Operators / 3： |
| Some recent developments / 4： |
| Numerical range in unital normed algebras / 1： |
| Hermitian elements of a complex unital Banach algebra / 2： |
| Operators / 3： |
|
| 91.
|
図書
|
edited by W.W. Boone, F.B. Cannonito, R.C. Lyndon
|
| 92.
|
図書
|
William M. Boothby
目次情報:
続きを見る
| Preface to the Revised Second Edition |
| Preface to the Second Edition |
| Preface to the First Edition |
| Introduction to Manifolds / I.： |
| Preliminary Comments on R[superscript n] / 1.： |
| R[superscript n] and Euclidean Space / 2.： |
| Topological Manifolds / 3.： |
| Further Examples of Manifolds. Cutting and Pasting / 4.： |
| Abstract Manifolds. Some Examples / 5.： |
| Functions of Several Variables and Mappings / II.： |
| Differentiability for Functions of Several Variables |
| Differentiability of Mappings and Jacobians |
| The Space of Tangent Vectors at a Point of R[superscript n] |
| Another Definition of T[subscript a](R[superscript n]) |
| Vector Fields on Open Subsets of R[superscript n] |
| The Inverse Function Theorem / 6.： |
| The Rank of a Mapping / 7.： |
| Differentiable Manifolds and Submanifolds / III.： |
| The Definition of a Differentiable Manifold |
| Further Examples |
| Differentiable Functions and Mappings |
| Rank of a Mapping, Immersions |
| Submanifolds |
| Lie Groups |
| The Action of a Lie Group on a Manifold. Transformation Groups |
| The Action of a Discrete Group on a Manifold / 8.： |
| Covering Manifolds / 9.： |
| Vector Fields on a Manifold / IV.： |
| The Tangent Space at a Point of a Manifold |
| Vector Fields |
| One-Parameter and Local One-Parameter Groups Acting on a Manifold |
| The Existence Theorem for Ordinary Differential Equations |
| Some Examples of One-Parameter Groups Acting on a Manifold |
| One-Parameter Subgroups of Lie Groups |
| The Lie Algebra of Vector Fields on a Manifold |
| Frobenius's Theorem |
| Homogeneous Spaces |
| Tensors and Tensor Fields on Manifolds / V.： |
| Tangent Covectors |
| Covectors on Manifolds |
| Covector Fields and Mappings |
| Bilinear Forms. The Riemannian Metric |
| Riemannian Manifolds as Metric Spaces |
| Partitions of Unity |
| Some Applications of the Partition of Unity |
| Tensor Fields |
| Tensors on a Vector Space |
| Mappings and Covariant Tensors |
| The Symmetrizing and Alternating Transformations |
| Multiplication of Tensors |
| Multiplication of Tensors on a Vector Space |
| Multiplication of Tensor Fields |
| Exterior Multiplication of Alternating Tensors |
| The Exterior Algebra on Manifolds |
| Orientation of Manifolds and the Volume Element |
| Exterior Differentiation |
| An Application to Frobenius's Theorem |
| Integration on Manifolds / VI.： |
| Integration in R[superscript n] Domains of Integration |
| Basic Properties of the Riemann Integral |
| A Generalization to Manifolds |
| Integration on Riemannian Manifolds |
| Integration on Lie Groups |
| Manifolds with Boundary |
| Stokes's Theorem for Manifolds |
| Homotopy of Mappings. The Fundamental Group |
| Homotopy of Paths and Loops. The Fundamental Group |
| Some Applications of Differential Forms. The de Rham Groups |
| The Homotopy Operator |
| Some Further Applications of de Rham Groups |
| The de Rham Groups of Lie Groups |
| Covering Spaces and Fundamental Group |
| Differentiation on Riemannian Manifolds / VII.： |
| Differentiation of Vector Fields along Curves in R[superscript n] |
| The Geometry of Space Curves |
| Curvature of Plane Curves |
| Differentiation of Vector Fields on Submanifolds of R[superscript n] |
| Formulas for Covariant Derivatives |
| [down triangle, open subscript x subscript p] Y and Differentiation of Vector Fields |
| Constant Vector Fields and Parallel Displacement |
| Addenda to the Theory of Differentiation on a Manifold |
| The Curvature Tensor |
| The Riemannian Connection and Exterior Differential Forms |
| Geodesic Curves on Riemannian Manifolds |
| The Tangent Bundle and Exponential Mapping. Normal Coordinates |
| Some Further Properties of Geodesics |
| Symmetric Riemannian Manifolds |
| Some Examples |
| Curvature / VIII.： |
| The Geometry of Surfaces in E[superscript 3] |
| The Principal Curvatures at a Point of a Surface |
| The Gaussian and Mean Curvatures of a Surface |
| The Theorema Egregium of Gauss |
| Basic Properties of the Riemann Curvature Tensor |
| Curvature Forms and the Equations of Structure |
| Differentiation of Covariant Tensor Fields |
| Manifolds of Constant Curvature |
| Spaces of Positive Curvature |
| Spaces of Zero Curvature |
| Spaces of Constant Negative Curvature |
| References |
| Index |
| Preface to the Revised Second Edition |
| Preface to the Second Edition |
| Preface to the First Edition |
|
| 93.
|
図書
|
[by] R. Boudarel, J. Delmas [and] P. Guichet ; translated by R.N. McDonough
|
| 94.
|
図書
|
by C. van de Panne
|
| 95.
|
図書
|
Max D. Larsen, Paul J. McCarthy
|
| 96.
|
図書
|
Arthur A. Sagle, Ralph E. Walde
目次情報:
続きを見る
| Preface |
| Some Calculus / Chapter 1.： |
| Basic Notation / 1.： |
| The Derivative / 2.： |
| Higher Derivatives / 3.： |
| Taylor's Formula / 4.： |
| Inverse Function Theorem / 5.： |
| The Algebra gl(V) / 6.： |
| Manifolds / Chapter 2.： |
| Differentiable Structures |
| Differentiable Functions |
| Submanifolds |
| Tangents and Cotangents |
| Tangent Maps (Differentials) |
| Tangent Bundle |
| Vector Fields / 7.： |
| Integral Curves / 8.： |
| Topological Groups / Chapter 3.： |
| Basics |
| Subgroups and Homogeneous Spaces |
| Connected Groups |
| Lie Groups / Chapter 4.： |
| Basic Structures |
| Local Lie Groups |
| Lie Subgroups |
| The Lie Algebra of a Lie Group / Chapter 5.： |
| The Lie Algebra |
| The Exponential Map |
| Exponential Formulas |
| Homomorphisms and Analytic Structure |
| Lie Subgroups and Subalgebras / Chapter 6.： |
| Lie Subalgebra and Uniqueness of Analytic Structure |
| Local Isomorphisms |
| Closed Subgroups |
| Homogeneous Spaces |
| Commutative Lie Groups |
| Automorphisms and Adjoints / Chapter 7.： |
| Automorphisms of Algebras |
| Inner Derivations and Automorphisms |
| Adjoint Representations |
| Simply Connected Lie Groups / Chapter 8.： |
| Homotopy Review |
| Simply Connected Covering Groups |
| Some Algebra / Chapter 9.： |
| Tensor Products |
| Extension of the Base Field |
| Complexification |
| Modules and Representations |
| Semisimple Modules |
| Composition Algebras |
| Solvable Lie Groups and Algebras / Chapter 10.： |
| Solvable Lie Groups |
| Solvable Lie Algebras and Radicals |
| Lie's Theorem on Solvability |
| Nilpotent Lie Groups and Algebras / Chapter 11.： |
| Nilpotent Lie Groups |
| Nilpotent Lie Algebras |
| Nilpotent Lie Algebras of Endomorphisms |
| Semisimple Lie Groups and Algebras / Chapter 12.： |
| Invariant Bilinear Forms |
| Cartan's Criteria |
| Ideals and Derivations of Semisimple Lie Algebras |
| Complete Reducibility and Semisimplicity |
| More on Radicals, Derivations, and Tensor Products |
| Remarks on Real Simple Lie Algebras and Compactness |
| Cartan Subalgebras and Root Spaces / Chapter 13.： |
| Cartan Subalgebras |
| Root Spaces of Split Semisimple Lie Algebras |
| Irreducible Representations of sl(2,K) |
| Simple Split Lie Algebras / Chapter 14.： |
| Root Systems |
| Classification of Split Simple Lie Algebras |
| On Automorphisms of Simple Complex Lie Algebras |
| Simple Real Lie Algebras and Groups / Chapter 15.： |
| Real Forms of Simple Complex Lie Algebra |
| Representations of Real and Complex Simple Lie Algebras |
| Some Simple Real and Complex Lie Groups |
| Some Differential Geometry / Appendix.： |
| Connections on Manifolds |
| Connections on Homogeneous Spaces and Nonassociative Algebras |
| Multiplicative Systems and Connections |
| Riemannian Connections and Jordan Algebras |
| References |
| Index |
| Preface |
| Some Calculus / Chapter 1.： |
| Basic Notation / 1.： |
|
| 97.
|
図書
|
Wilhelm Magnus
|
| 98.
|
図書
|
I. Martin Isaacs
目次情報:
続きを見る
| Algebras, modules, and representations Group representations and characters |
| Characters and integrality Products of characters |
| Induced characters Normal subgroups T.I. sets and exceptional characters |
| Brauer's theorem Changing the field |
| The Schur index Projective representations Character degrees |
| Character correspondence Linear groups Changing the characteristic |
| Some character tables |
| Bibliographic notes |
| References |
| Index |
| Algebras, modules, and representations Group representations and characters |
| Characters and integrality Products of characters |
| Induced characters Normal subgroups T.I. sets and exceptional characters |
|
| 99.
|
図書
|
B.M. Puttaswamaiah, John D. Dixon
|
| 100.
|
図書
|
Charalambos D. Aliprantis, Owen Burkinshaw
|
