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1.

図書
図書
1. On measures of information and their characterizations
J. Aczél, Z. Daróczy
出版情報: New York : Academic Press, 1975  xii, 234 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 115
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2.

図書
図書
2. An introduction to differentiable manifolds and Riemannian geometry
William M. Boothby
出版情報: New York : Academic Press, 1975  xiv, 424 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 63
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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
3.

図書
図書
3. Graph theory : an algorithmic approach
Nicos Christofides
出版情報: New York : Academic Press, 1975  xv, 400 p. ; 24 cm
シリーズ名: Computer science and applied mathematics
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4.

図書
図書
4. Proceedings of the International Congress of Mathematicians (v. 1 ; v. 2)
[editor, Ralph D. James]
出版情報: [Vancouver] : [Canadian Mathematical Congress], c1975  2 v. ; 24 cm
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5.

図書
図書
5. Writing scientific papers in English : an ELSE-Ciba Foundation guide for authors (: Excerpta Medica ; : American Elsevier)
Maeve O'Connor and F. Peter Woodford
出版情報: Amsterdam : Elsevier : Excerpta Medica : North-Holland, 1975  vii, 108 p. ; 25 cm
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6.

図書
図書
6. Topics in stochastic processes
Robert B. Ash, Melvin F. Gardner
出版情報: New York : Academic Press, 1975  viii, 321 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; vol. 27
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7.

図書
図書
7. Algebraic and automata-theoretic properties of formal languages (: North-Holland ; : American Elsevier)
Seymour Ginsburg
出版情報: Amsterdam : North-Holland Pub. Co. , New York : American Elsevier Pub. Co., 1975  xii, 313 p. ; 23 cm
シリーズ名: Fundamental studies in computer science ; v. 2
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8.

図書
図書
8. Artificial intelligence
Earl B. Hunt
出版情報: New York : Academic Press, 1975  xii, 468 p. ; 24 cm
シリーズ名: Academic Press series in cognition and perception
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9.

図書
図書
9. Numerische Methoden bei graphentheoretischen und kombinatorischen Problemen : Vortragsauszüge der Tagung über numerische Methoden der Graphentheorie und Kombinatorik vom 1. bis 7. Dezember 1974 im Mathematischen Forschungsinstitut Oberwolfach (Schwarzwald)
herausgegeben von L. Collatz, G. Meinardus, H. Werner
出版情報: Basel ; Stuttgart : Birkhäuser, 1975  159 p. ; 25 cm
シリーズ名: International series of numerical mathematics ; Vol. 29
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10.

図書
図書
10. Stochastic differential equations and applications (v. 1 ; v. 2)
Avner Friedman
出版情報: New York : Academic Press, 1975-1976  2 v. (xiii, 528 p.) ; 24 cm.
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; v. 28
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11.

図書
図書
11. Partial differential equations (: hbk ; : pbk)
E. T. Copson
出版情報: Cambridge ; New York : Cambridge University Press, 1975  vii, 280 p. ; 24 cm
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目次情報: 続きを見る
Preface
Partial differential equations of the first order / 1：
Characteristics of equations of the second order / 2：
Boundary value and initial value problems / 3：
Equations of hyperbolic type / 4：
Reimann's method / 5：
The equation of wave motions / 6：
Marcel Riesz's method / 7：
Potential theory in the plane / 8：
Subharmonic functions and the problem of Dirichlet / 9：
Equations of elliptic type in the plane / 10：
Equations of elliptic type in space / 11：
The equation of heat / 12：
Appendix
Books for further reading
Index
Preface
Partial differential equations of the first order / 1：
Characteristics of equations of the second order / 2：
12.

図書
図書
12. Manifolds-Tokyo, 1973 : proceedings of the International Conference on Manifolds and Related Topics in Topology, Tokyo, 1973
edited by Akio Hattori
出版情報: Tokyo : Published for the Mathematical Society of Japan by University of Tokyo Press, 1975  x, 433 p. ; 27 cm
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13.

図書
図書
13. Markov chains (: ne ; : us)
D. Revuz
出版情報: Amsterdam : North-Holland Pub. Co. , New York : American Elsevier, 1975  x, 336 p. ; 23 cm
シリーズ名: North-Holland mathematical library ; v. 11
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目次情報: 続きを見る
Transition Probabilities
Markov Chains
Potential Theory
Transcience and Recurrence
Pointwise Ergodic Theory
Transient Random Walks
Ergodic Theory of Harris Chains
Martin Boundary
Potential Theory for Harris Chains
Recurrent Random Walks
Construction of Markov Chains and Resolvents
Transition Probabilities
Markov Chains
Potential Theory
14.

図書
図書
14. Computer chess
Monroe Newborn
出版情報: New York : Academic Press, 1975  xii, 200 p. ; 24 cm
シリーズ名: ACM monograph series
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15.

図書
図書
15. Methods of optimization (pbk)
G. R. Walsh
出版情報: London ; New York : Wiley, c1975  x, 200 p. ; 24 cm
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16.

図書
図書
16. Nonlinear control engineering
by D.P. Atherton
出版情報: New York : Van Nostrand Reinhold, 1975  xvii, 627 p. ; 24 cm
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17.

図書
図書
17. Advanced engineering mathematics. 4th ed
by C. Ray Wylie
出版情報: New York : McGraw-Hill, c1975  xii, 937 p. ; 24 cm
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18.

図書
図書
18. Decomposition of multivariate probabilities
Roger Cuppens
出版情報: New York : Academic Press, 1975  xv, 244 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; v. 29
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19.

図書
図書
19. Introduction to nonparametric detection with applications
Jerry D. Gibson, James L. Melsa
出版情報: New York : Academic Press, 1975  xii, 241 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 119
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20.

図書
図書
20. Tensors, differential forms, and variational principles
David Lovelock, Hanno Rund
出版情報: New York : Wiley, [1975]  xi, 364 p. ; 24 cm
シリーズ名: Pure and applied mathematics
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21.

図書
図書
21. General systems theory : mathematical foundations
M.D. Mesarovic and Yasuhiko Takahara
出版情報: New York : Academic Press, 1975  xii, 268 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 113
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22.

図書
図書
22. SL[2](R)
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., c1975  xvi, 428 p. ; 25 cm
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23.

図書
図書
23. Walsh functions and their applications
K.G. Beauchamp
出版情報: London ; New York : Academic Press, 1975  xiii, 236 p. ; 24 cm
シリーズ名: Techniques of physics ; 3
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24.

図書
図書
24. Sequential methods in statistics. [2d ed.]
[by] G. Barrie Wetherill
出版情報: London : Chapman and Hall , New York : [distributed in the U.S.A. by Halsted Press, 1975]  x, 232 p ; 23 cm
シリーズ名: Monographs on applied probability and statistics
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25.

図書
図書
25. The mathematics of diffusion. 2nd ed (: hard)
by J. Crank
出版情報: Oxford [Oxfordshire] : Clarendon Press, 1975  viii, 414 p. ; 24 cm
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26.

図書
図書
26. A first course in stochastic processes. 2nd ed (Solutions to problems)
Samuel Karlin, Howard M. Taylor
出版情報: New York : Academic Press, c1975  xvi, 557 p. ; 24 cm
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目次情報: 続きを見る
Preface
Elements of Stochastic Processes
Markov Chains
The Basic Limit Theorem of Markov Chains and Applications
Classical Examples of Continuous Time Markov Chains
Renewal Processes
Martingales
Brownian Motion
Branching Processes
Stationary Processes
Review of Matrix Analysis
Index
Preface
Elements of Stochastic Processes
Markov Chains
27.

図書
図書
27. Theory
Leonard Kleinrock
出版情報: New York : Wiley, 1975  xviii, 417 p. ; 24 cm
シリーズ名: Queueing systems ; v. 1
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Queueing Systems
Some Important Random Processes
Elementary Queueing Theory
Birth-Death Queueing Systems in Equilibrium
Markovian Queues in Equilibrium
Intermediate Queueing Theory
The Queue M/G/I
The Queue G/M/m
The Method of Collective Marks
Advanced Material
The Queue G/G/1
Queueing Systems
Some Important Random Processes
Elementary Queueing Theory
28.

図書
図書
28. Theory of optimal search
Lawrence D. Stone
出版情報: New York : Academic Press, 1975  xiv, 260 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 118
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29.

図書
図書
29. Arrows, structures, and functors : the categorical imperative
Michael A. Arbib, Ernest G. Manes
出版情報: New York : Academic Press, 1975  xiii, 185 p. ; 24 cm
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30.

図書
図書
30. Rings of quotients : an introduction to methods of ring theory (: gw ; : us ; : pbk)
Bo Stenström
出版情報: Berlin ; New York : Springer, 1975  viii, 309 p. ; 24-25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 217
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