1.
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図書
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Jack Hale
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2.
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図書
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[by] R. O. Wells, Jr
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3.
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図書
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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
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R. B. Burckel
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6.
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図書
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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 |
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7.
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図書
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edited by A. P. Carter and A. Bródy
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8.
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図書
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by Robert B. Burckel
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9.
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図書
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Lamberto Cesari
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10.
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図書
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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
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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
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Wilhelm Klingenberg
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15.
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図書
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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
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17.
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図書
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edited by Lars V. Ahlfors ... [et al.]
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18.
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図書
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Masanao Aoki
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19.
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図書
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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
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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
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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
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25.
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図書
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C.H. Edwards, Jr
出版情報: |
New York ; Heidelberg ; Berlin ; Tokyo : Springer-Verlag, c1979 xii, 351 p. ; 25 cm |
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目次情報:
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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: |
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26.
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図書
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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: |
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27.
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図書
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J. Aczél, Z. Daróczy
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28.
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図書
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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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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 |
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31.
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図書
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R.E. Barlow ... [et al.]
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32.
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図書
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O. Barndorff-Nielsen
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33.
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図書
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Donald W. Barnes, John M. Mack
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34.
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図書
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[by] Arthur Albert
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35.
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図書
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edited by G. Pollák
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36.
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図書
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[by] Erik M. Alfsen
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37.
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図書
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[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.
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図書
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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: |
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39.
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図書
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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
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F.V. Atkinson
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41.
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図書
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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:
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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: |
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42.
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図書
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Ararat Babakhanian
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43.
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図書
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by Christopher T.H. Baker
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44.
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図書
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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
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D.J. Bartholomew
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46.
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図書
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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.
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図書
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Vic Barnett and Toby Lewis
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49.
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図書
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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.
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図書
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Homer Bechtell
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51.
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図書
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Anatole Beck ; with the assistance of Jonathan and Mirit Lewin
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52.
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図書
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James V. Beck and Kenneth J. Arnold
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53.
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図書
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Stanley H. Benton, Jr
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54.
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図書
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Melvin S. Berger
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55.
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図書
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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 |
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56.
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図書
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[by] Sterling K. Berberian
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57.
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図書
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Christian Berg, Gunnar Forst
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58.
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図書
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Richard Bellman and Charlene Paule Smith
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59.
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図書
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[by] Edward J. Beltrami
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60.
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図書
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John Benedetto
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61.
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図書
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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.
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図書
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by Maurice A. Biot
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63.
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図書
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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.
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図書
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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.
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図書
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Nicolas Bourbaki
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66.
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図書
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Nicolas Bourbaki
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67.
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図書
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Nicolas Bourbaki
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68.
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図書
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Barron Brainerd
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69.
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図書
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James R. Brown
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70.
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図書
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Robert F. Brown
出版情報: |
Glenview, Ill. : Scott, Foresman, c1971 vi, 186 p. ; 24 cm |
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71.
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図書
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[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
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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
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[by] Stephen R. Bernfeld [and] V. Lakshmikantham
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74.
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図書
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Stanislaw Ulam ; edited by W.A. Beyer, J. Mycielski, and G.-C. Rota
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75.
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図書
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[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
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Ray M. Bowen and C.-C. Wang
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78.
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図書
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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
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by A.T. Bharucha-Reid
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80.
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図書
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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 |
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81.
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図書
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R. N. Bhattacharya, R. Ranga Rao
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82.
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図書
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editor, A. T. Bharucha-Reid
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83.
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図書
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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: |
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84.
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図書
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Gerald J. Bierman
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85.
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図書
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by George E.P. Box and Gwilym M. Jenkins
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86.
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図書
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[by] Umberto Bertelè and Francesco Brioschi
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87.
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図書
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Patrick Billingsley
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88.
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図書
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János Bognár
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89.
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図書
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[by] F.F. Bonsall [and] J. Duncan
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90.
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図書
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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: |
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91.
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図書
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edited by W.W. Boone, F.B. Cannonito, R.C. Lyndon
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92.
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図書
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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 |
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93.
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図書
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[by] R. Boudarel, J. Delmas [and] P. Guichet ; translated by R.N. McDonough
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94.
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図書
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by C. van de Panne
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95.
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図書
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Max D. Larsen, Paul J. McCarthy
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96.
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図書
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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.: |
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97.
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図書
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Wilhelm Magnus
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98.
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図書
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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 |
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99.
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図書
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B.M. Puttaswamaiah, John D. Dixon
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100.
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図書
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Charalambos D. Aliprantis, Owen Burkinshaw
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