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1.

図書
図書
1. Semirings : algebraic theory and applications in computer science
U. Hebisch, H.J. Weinert
出版情報: Singapore : World Scientific, c1993  viii, 361 p. ; 26 cm
シリーズ名: Series in algebra ; v. 5
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2.

図書
図書
2. Combinatorics, Paul Erdős is eighty (: [set] ; v. 1 ; v. 2)
edited by D. Miklós, V.T. Sós, T. Szőnyi
出版情報: Budapest : János Bolyai Mathematical Society, 1993  2 v. ; 25 cm
シリーズ名: Bolyai Society mathematical studies ; 1, 2
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3.

図書
図書
3. L[2] moduli spaces on 4-manifolds with cylindrical ends
Clifford Henry Taubes
出版情報: Boston : International Press, c1993  205 p. ; 24 cm
シリーズ名: Monographs in geometry and topology ; v. 1
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4.

図書
図書
4. Quantum groups : from coalgebras to Drinfeld algebras : a guided tour
Steven Shnider and Shlomo Sternberg
出版情報: Cambridge, MA : International Press, c1993  [xx], 496 p. ; 24 cm
シリーズ名: Graduate texts in mathematical physics ; v. 2
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5.

図書
図書
5. Integrals of Cauchy type on the ball
Sheng Gong
出版情報: Cambridge, MA : International Press, c1993  iii, 304 p. ; 24 cm
シリーズ名: Monographs in analysis ; v. 1
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6.

雑誌
雑誌
6. Russian journal of mathematical physics
出版情報: New York : John Wiley, c1993-  v
巻次年月次: Vol. 1, no. 1 (1993)-
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7.

雑誌
雑誌
7. Applicationes mathematicae
Polish Academy of Sciences, Institute of Mathematics
出版情報: Warszawa : Institute of Mathematics, Polish Academy of Sciences, 1993-  v. ; 23 cm
巻次年月次: 22, 1 (1993)-
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8.

雑誌
雑誌
8. Resenhas do Instituto de Matemática e Estatística da Universidade de São Paulo
Universidade de São Paulo. Instituto de Matemática e Estatística
出版情報: [São Paulo] : Instituto de Matemática e Estatística da Universidade de São Paulo, c1993-  v. ; 23 cm
巻次年月次: Vol. 1, no. 1 (1993)-
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9.

雑誌
雑誌
9. Calculus of variations and partial differential equations
出版情報: Berlin : Springer-Verlag, c1993-  v. ; 24 cm
巻次年月次: Vol. 1, no. 1 (Jan. 1993)-
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10.

雑誌
雑誌
10. Applied and computational harmonic analysis
出版情報: San Diego, Calif. : Academic Press, c1993-  v. ; 28 cm
巻次年月次: Vol. 1, no. 1 (Dec. 1993)-
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11.

雑誌
雑誌
11. Russian Academy of Sciences izvestiya. Mathematics
American Mathematical Society ; Rossiĭskai︠a︡ akademii︠a︡ nauk
出版情報: Providence, R.I., U.S. : American Mathematical Society, c1993-c1995  6 v. ; 26 cm
巻次年月次: Vol. 40, no. 1 (1993)-v. 45, no. 3 (1995)
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12.

雑誌
雑誌
12. Russian Academy of Sciences. Sbornik. Mathematics
American Mathematical Society ; Rossiĭskai︠a︡ akademii︠a︡ nauk
出版情報: Providence, R.I. : American Mathematical Society, c1993-c1995  9 v. ; 26 cm
巻次年月次: Vol. 75, no. 1 (1993)-v. 83, no. 2 (1995)
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13.

図書
図書
13. Tensor norms and operator ideals
Andreas Defant, Klaus Floret
出版情報: Amsterdam ; New York : North-Holland, 1993  xi, 566 p. ; 25 cm
シリーズ名: North-Holland mathematics studies ; 176
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目次情報: 続きを見る
Basic Concepts
Bilinear Mappings
The Algebraic Theory of Tensor Products
The Projective Norm
The Injective Norm
The Approximation Property
Duality of the Projective and Injective Norm
The Natural Norm on the p-Integrable Functions
Absolutely and Weakly p-Summable Series and Averaging Techniques
Operator Ideals
Integral Operators
Absolutely p-Summing Operators
Tensor Norms
Definition and Examples
The Five Basic Lemmas
Grothendieck's Inequality
Dual Tensor Norms
The Bounded Approximation Property
The Representation Theorem for Maximal Operator Ideals
(p-q)-Factorable Operators
(p-q)-Dominated Operators
Projective and Injective Tensor Norms
Accessible Tensor Norms and Operator Ideals
Minimal Operator Ideals
L g p -Spaces
Stable Measures
Composition of Accessible Operator Ideals
More About L p and Hilbert Spaces
Grothendieck's Fourteen Natural Norms
Special Topics
More Tensor Norms
The Calculus of Traced Tensor Norms
The Vector Valued Fourier Transform
Pisier's Factorization Theorem
Mixing Operators
The Radon-Nikodym Property for Tensor Norms and Reflexivity
Tensorstable Operator Ideals
Tensor Norm Techniques for Locally Convex Spaces
Appendices
References
Index
Basic Concepts
Bilinear Mappings
The Algebraic Theory of Tensor Products
14.

図書
図書
14. Approximation-solvability of nonlinear functional and differential equations
Wolodymyr V. Petryshyn
出版情報: New York, NY : M. Dekker, c1993  xi, 372 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 171
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Solvability of equations involving A-proper and pseudo-A-proper mappings
Equations involving linear A-proper mappings
Fixed points and surjectivity theorems for P-gamma-compact and A-proper-type maps
Generalized degree for A-proper mappings and applications
Solvability of PDEs and ODEs and bifurcation problems
Solvability of equations involving A-proper and pseudo-A-proper mappings
Equations involving linear A-proper mappings
Fixed points and surjectivity theorems for P-gamma-compact and A-proper-type maps
15.

図書
図書
15. Sphere packings, lattices and groups. 2nd ed (: us ; : gw)
J.H. Conway, N.J.A. Sloane ; with additional contributions by E. Bannai ... [et al.]
出版情報: New York : Springer-Verlag, c1993  xliii, 679 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 290
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16.

図書
図書
16. Complex geometry : proceedings of the Osaka International Conference
edited by Gen Komatsu, Yusuke Sakane
出版情報: New York : Dekker, c1993  vii, 229 p. ; 26 cm
シリーズ名: Lecture notes in pure and applied mathematics ; v. 143
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17.

図書
図書
17. Asymptotic properties of solutions of nonautonomous ordinary differential equations
by I.T. Kiguradze and T.A. Chanturia
出版情報: Dordrecht ; Boston : Kluwer Academic, c1993  xiv, 331 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; 89
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18.

図書
図書
18. Classical and new inequalities in analysis
by D.S. Mitrinović, J.E. Pečarić, and A.M. Fink
出版情報: Dordrecht ; Boston : Kluwer Academic, c1993  xvii, 740 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . East European series ; v. 61
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19.

図書
図書
19. Systems of evolution equations with periodic and quasiperiodic coefficients
by Yu.A. Mitropolsky, A.M. Samoilenko and D.I. Martinyuk
出版情報: Dordrecht ; Boston : Kluwer Academic, c1993  xiv, 280 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; 87
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20.

図書
図書
20. Controlled Markov processes and viscosity solutions (: us ; : gw)
Wendell H. Fleming, H. Mete Soner
出版情報: New York ; Berlin : Springer-Verlag, c1993  xv, 428 p. ; 24 cm
シリーズ名: Applications of mathematics ; 25
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21.

図書
図書
21. The admissible dual of GL(N) via compact open subgroups (: pbk)
by Colin J. Bushnell and Philip C. Kutzko
出版情報: Princeton, N.J. : Princeton University Press, 1993  ix, 313 p. ; 25 cm
シリーズ名: Annals of mathematics studies ; no. 129
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22.

図書
図書
22. Averaging in stability theory : a study of resonance multi-frequency systems
by M.M. Hapaev
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1993  xiii, 279 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; 79
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23.

図書
図書
23. Convex bodies : the Brunn-Minkowski theory (: hbk)
Rolf Schneider
出版情報: Cambridge, [UK] ; New York, USA : Cambridge University Press, 1993  xiii, 490 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 44
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目次情報: 続きを見る
Basic convexity / 1：
Boundary structure / 2：
Minkowski addition / 3：
Curvature measure and quermass integrals / 4：
Mixed volumes / 5：
Inequalities for mixed volumes / 6：
Selected applications / 7：
Appendix
Basic convexity / 1：
Boundary structure / 2：
Minkowski addition / 3：
24.

図書
図書
24. Several complex variables and the geometry of real hypersurfaces
John P. D'Angelo
出版情報: Boca Raton : CRC Press, c1993  xiii, 272 p. ; 25 cm
シリーズ名: Studies in advanced mathematics
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25.

図書
図書
25. Class I representations, special functions, and integral transforms
by N.Ja. Vilenkin and A.U. Klimyk ; translated from the Russian by V.A. Groza and A.A. Groza
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1993  xviii, 607 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; v. 74 . Representation of Lie groups and special functions / by N.Ja Vilenkin and A.U. Klimyk ; v. 2
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目次情報: 続きを見る
List of the Most Important Notations
Special Functions Connected with SO(n) and with Related Groups / 9：
Representations of Groups, Related to SO(n), in Non-Canonical Bases, Special Functions, and Integral Transforms / 10：
Special Functions Connected with the Groups U(n), U(n-1.1) and IU(n-1) / 11：
Representations of the Heisenberg Group and Special Functions / 12：
Representations of the Discrete Groups and Special Functions of Discrete Argument / 13：
Bibliography
Subject Index
List of the Most Important Notations
Special Functions Connected with SO(n) and with Related Groups / 9：
Representations of Groups, Related to SO(n), in Non-Canonical Bases, Special Functions, and Integral Transforms / 10：
26.

図書
図書
26. An introduction to Γ-convergence (: Boston ; : Berlin)
Gianni Dal Maso
出版情報: Boston, Mass. : Birkhäuser, c1993  xiv, 340 p. ; 25 cm
シリーズ名: Progress in nonlinear differential equations and their applications ; v. 8
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27.

図書
図書
27. Lectures on ergodic theory and Pesin theory on compact manifolds
Mark Pollicott
出版情報: Cambridge : Cambridge University Press, 1993  ix, 162 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 180
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目次情報: 続きを見る
Introduction
The basic theory / Part I.：
Invariant measures and some ergodic theory / Chapter 1.：
Invariant measures / 1.1：
Poincare recurrence / 1.2：
Ergodic measures / 1.3：
Ergodic decomposition / 1.4：
The ergodic theorem / 1.5：
Proof of the ergodic theorem / 1.6：
Proof of the ergodic decomposition lemma / 1.7：
Notes
Ergodic theory for manifolds and Liapunov exponents / Chapter 2.：
The subadditive ergodic theorem / 2.1：
The subadditive ergodic theorem and diffeomorphisms / 2.2：
Oseledec-type theorems / 2.3：
Some examples / 2.4：
Proof of the Oseledec theorem / 2.5：
Further refinements of the Oseledec theorem / 2.6：
Proof of the subadditive ergodic theorem / 2.7：
Entropy / Chapter 3.：
Measure theoretic entropy / 3.1：
Measure theoretic entropy and Liapunov exponents / 3.2：
Topological entropy / 3.3：
Topological entropy and Liapunov exponents / 3.4：
Equivalent definitions of measure theoretic entropy / 3.5：
Proof of the Pesin-Ruelle inequality / 3.6：
Osceledec's theorem, topological entropy and Lie theory / 3.7：
The Pesin set and its structure / Chapter 4.：
The Pesin set / 4.1：
The Pesin set and Liapunov exponents / 4.2：
Liapunov metrics on the Pesin set / 4.3：
Local distortion / 4.4：
Proofs of Propositions 4.1 and 4.2 / 4.5：
Liapunov exponents with the same sign / 4.6：
An interlude
Some topical examples / (a)：
Uniformly hyperbolic diffeomorphisms / (b)：
Shadowing / (i)：
Closing lemma / (ii)：
Stable manifolds / (iii)：
The applications / Part II.：
Closing lemmas and periodic points / Chapter 5.：
Liapunov neighborhoods / 5.1：
Shadowing lemma / 5.2：
Uniqueness of the shadowing point / 5.3：
Closing lemmas / 5.4：
An application of the closing lemma / 5.5：
Structure of "chaotic" diffeomorphisms / Chapter 6.：
The distribution of periodic points / 6.1：
The number of periodic points / 6.2：
Homoclinic points / 6.3：
Generalized Smale horse-shoes / 6.4：
Entropy stability / 6.5：
Entropy, volume growth and Yomdin's inequality / 6.6：
Examples of discontinuity of entropy / 6.7：
Proofs of propositions 6.1 and 6.2 / 6.8：
Stable manifolds and more measure theory / Chapter 7.：
Stable and unstable manifolds / 7.1：
Equality in the Pesin-Ruelle inequality / 7.2：
Foliations and absolute continuity / 7.3：
Ergodic components / 7.4：
Proof of stable manifold theorem / 7.5：
Ergodic components and absolute continuity / 7.6：
Some preliminary measure theory / Appendix A.：
Some preliminary differential geometry / Appendix B.：
Geodesic flows / Appendix C.：
References
Introduction
The basic theory / Part I.：
Invariant measures and some ergodic theory / Chapter 1.：
28.

図書
図書
28. Elementary theory of L-functions and Eisenstein series (: hard ; : pbk)
Haruzo Hida
出版情報: Cambridge : Cambridge University Press, 1993  ix, 386 p. ; 24 cm
シリーズ名: London Mathematical Society student texts ; 26
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目次情報: 続きを見る
Suggestions to the reader
Algebraic number theory / Chapter 1.：
Linear algebra over rings / 1.1.：
Algebraic number fields / 1.2.：
p-adic numbers / 1.3.：
Classical L-functions and Eisenstein series / Chapter 2.：
Euler's method / 2.1.：
Analytic continuation and the functional equation / 2.2.：
Hurwitz and Dirichlet L-functions / 2.3.：
Shintani L-functions / 2.4.：
L-functions of real quadratic field / 2.5.：
L-functions of imaginary quadratic fields / 2.6.：
Hecke L-functions of number fields / 2.7.：
p-adic Hecke L-functions / Chapter 3.：
Interpolation series / 3.1.：
Interpolation series in p-adic fields / 3.2.：
p-adic measures on Z[subscript p] / 3.3.：
The p-adic measure of the Riemann zeta function / 3.4.：
p-adic Dirichlet L-functions / 3.5.：
Group schemes and formal group schemes / 3.6.：
Toroidal formal groups and p-adic measures / 3.7.：
p-adic Shintani L-functions of totally real fields / 3.8.：
p-adic Hecke L-functions of totally real fields / 3.9.：
Homological interpretation / Chapter 4.：
Cohomology groups on G[subscript m](C) / 4.1.：
Cohomological interpretation of Dirichlet L-values / 4.2.：
p-adic measures and locally constant functions / 4.3.：
Another construction of p-adic Dirichlet L-functions / 4.4.：
Elliptic modular forms and their L-functions / Chapter 5.：
Classical Eisenstein series of GL(2)[subscript /Q] / 5.1.：
Rationality of modular forms / 5.2.：
Hecke operators / 5.3.：
The Petersson inner product and the Rankin product / 5.4.：
Standard L-functions of holomorphic modular forms / 5.5.：
Modular forms and cohomology groups / Chapter 6.：
Cohomology of modular groups / 6.1.：
Eichler-Shimura isomorphisms / 6.2.：
Hecke operators on cohomology groups / 6.3.：
Algebraicity theorem for standard L-functions of GL(2) / 6.4.：
Mazur's p-adic Mellin transforms / 6.5.：
Ordinary [Lambda]-adic forms, two variable p-adic Rankin products and Galois representations / Chapter 7.：
p-Adic families of Eisenstein series / 7.1.：
The projection to the ordinary part / 7.2.：
Ordinary [Lambda]-adic forms / 7.3.：
Two variable p-adic Rankin product / 7.4.：
Ordinary Galois representations into GL[subscript 2](Z[subscript p X]) / 7.5.：
Examples of [Lambda]-adic forms / 7.6.：
Functional equations of Hecke L-functions / Chapter 8.：
Adelic interpretation of algebraic number theory / 8.1.：
Hecke characters as continuous idele characters / 8.2.：
Self-duality of local fields / 8.3.：
Haar measures and the Poisson summation formula / 8.4.：
Adelic Haar measures / 8.5.：
Adelic Eisenstein series and Rankin products / 8.6.：
Modular forms on GL[subscript 2](F[subscript A]) / 9.1.：
Fourier expansion of Eisenstein series / 9.2.：
Functional equation of Eisenstein series / 9.3.：
Analytic continuation of Rankin products / 9.4.：
Functional equations of Rankin products / 9.5.：
Three variable p-adic Rankin products / Chapter 10.：
Differential operators of Maass and Shimura / 10.1.：
The algebraicity theorem of Rankin products / 10.2.：
Two variable [Lambda]-adic Eisenstein series / 10.3.：
Relation to two variable p-adic Rankin products / 10.4.：
Concluding remarks / 10.6.：
Summary of homology and cohomology theory / Appendix：
References
Answers to selected exercises
Index
Elliptical modular forms and their L-functions / 1：
Ordinary L-adic forms, two-variable p-adic Rankin products and Galois representations / 6：
Three-variable p-adic Rankin products / 8：
Appendix
Suggestions to the reader
Algebraic number theory / Chapter 1.：
Linear algebra over rings / 1.1.：
29.

図書
図書
29. Differential equations with Mathematica
Martha L. Abell, James P. Braselton
出版情報: Boston : Academic Press, c1993  viii, 631 p. ; 24 cm
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目次情報: 続きを見る
Preface
Introduction to Differential Equations / 1：
Definitions and Concepts / 1.1：
Solutions of Differential Equations / 1.2：
Initial and Boundary-Value Problems / 1.3：
Direction Fields / 1.4：
First-Order Ordinary Differential Equations / 2：
Theory of First-Order Equations: A Brief Discussion / 2.1：
Separation of Variables / 2.2：
Application: Kidney Dialysis
Homogeneous Equations / 2.3：
Application: Models of Pursuit
Exact Equations / 2.4：
Linear Equations / 2.5：
Integrating Factor Approach / 2.5.1：
Variation of Parameters and the Method of Undetermined Coefficients / 2.5.2：
Application: Antibiotic Production
Numerical Approximations of Solutions to First-Order Equations / 2.6：
Built-In Methods / 2.6.1：
Application: Modeling the Spread of a Disease
Other Numerical Methods / 2.6.2：
Applications of First-Order Ordinary Differential Equations / 3：
Orthogonal Trajectories / 3.1：
Application: Oblique Trajectories
Population Growth and Decay / 3.2：
The Malthus Model / 3.2.1：
The Logistic Equation / 3.2.2：
Application: Harvesting
Application: The Logistic Difference Equation
Newton's Law of Cooling / 3.3：
Free-Falling Bodies / 3.4：
Higher-Order Differential Equations / 4：
Preliminary Definitions and Notation / 4.1：
Introduction / 4.1.1：
The nth-Order Ordinary Linear Differential Equation / 4.1.2：
Fundamental Set of Solutions / 4.1.3：
Existence of a Fundamental Set of Solutions / 4.1.4：
Reduction of Order / 4.1.5：
Solving Homogeneous Equations with Constant Coefficients / 4.2：
Second-Order Equations / 4.2.1：
Higher-Order Equations / 4.2.2：
Application: Testing for Diabetes
Introduction to Solving Nonhomogeneous Equations with Constant Coefficients / 4.3：
Nonhomogeneous Equations with Constant Coefficients: The Method of Undetermined Coefficients / 4.4：
Nonhomogeneous Equations with Constant Coefficients: Variation of Parameters / 4.4.1：
Higher-Order Nonhomogeneous Equations / 4.5.1：
Cauchy-Euler Equations / 4.6：
Second-Order Cauchy-Euler Equations / 4.6.1：
Higher-Order Cauchy-Euler Equations / 4.6.2：
Variation of Parameters / 4.6.3：
Series Solutions / 4.7：
Power Series Solutions about Ordinary Points / 4.7.1：
Series Solutions about Regular Singular Points / 4.7.2：
Method of Frobenius / 4.7.3：
Application: Zeros of the Bessel Functions of the First Kind
Application: The Wave Equation on a Circular Plate
Nonlinear Equations / 4.8：
Applications of Higher-Order Differential Equations / 5：
Harmonic Motion / 5.1：
Simple Harmonic Motion / 5.1.1：
Damped Motion / 5.1.2：
Forced Motion / 5.1.3：
Soft Springs / 5.1.4：
Hard Springs / 5.1.5：
Aging Springs / 5.1.6：
Application: Hearing Beats and Resonance
The Pendulum Problem / 5.2：
Other Applications / 5.3：
L-R-C Circuits / 5.3.1：
Deflection of a Beam / 5.3.2：
Bode Plots / 5.3.3：
The Catenary / 5.3.4：
Systems of Ordinary Differential Equations / 6：
Review of Matrix Algebra and Calculus / 6.1：
Defining Nested Lists, Matrices, and Vectors / 6.1.1：
Extracting Elements of Matrices / 6.1.2：
Basic Computations with Matrices / 6.1.3：
Eigenvalues and Eigenvectors / 6.1.4：
Matrix Calculus / 6.1.5：
Systems of Equations: Preliminary Definitions and Theory / 6.2：
Preliminary Theory / 6.2.1：
Linear Systems / 6.2.2：
Homogeneous Linear Systems with Constant Coefficients / 6.3：
Distinct Real Eigenvalues / 6.3.1：
Complex Conjugate Eigenvalues / 6.3.2：
Alternate Method for Solving Initial-Value Problems / 6.3.3：
Repeated Eigenvalues / 6.3.4：
Nonhomogeneous First-Order Systems: Undetermined Coefficients, Variation of Parameters, and the Matrix Exponential / 6.4：
Undetermined Coefficients / 6.4.1：
The Matrix Exponential / 6.4.2：
Numerical Methods / 6.5：
Application: Controlling the Spread of a Disease / 6.5.1：
Euler's Method / 6.5.2：
Runge-Kutta Method / 6.5.3：
Nonlinear Systems, Linearization, and Classification of Equilibrium Points / 6.6：
Real Distinct Eigenvalues / 6.6.1：
Nonlinear Systems / 6.6.2：
Applications of Systems of Ordinary Differential Equations / 7：
Mechanical and Electrical Problems with First-Order Linear Systems / 7.1：
L-R-C Circuits with Loops / 7.1.1：
L-R-C Circuit with One Loop / 7.1.2：
L-R-C Circuit with Two Loops / 7.1.3：
Spring-Mass Systems / 7.1.4：
Diffusion and Population Problems with First-Order Linear Systems / 7.2：
Diffusion through a Membrane / 7.2.1：
Diffusion through a Double-Walled Membrane / 7.2.2：
Population Problems / 7.2.3：
Applications that Lead to Nonlinear Systems / 7.3：
Biological Systems: Predator-Prey Interactions, The Lotka-Volterra System, and Food Chains in the Chemostat / 7.3.1：
Physical Systems: Variable Damping / 7.3.2：
Differential Geometry: Curvature / 7.3.3：
Laplace Transform Methods / 8：
The Laplace Transform / 8.1：
Definition of the Laplace Transform / 8.1.1：
Exponential Order / 8.1.2：
Properties of the Laplace Transform / 8.1.3：
The Inverse Laplace Transform / 8.2：
Definition of the Inverse Laplace Transform / 8.2.1：
Laplace Transform of an Integral / 8.2.2：
Solving Initial-Value Problems with the Laplace Transform / 8.3：
Laplace Transforms of Step and Periodic Functions / 8.4：
Piecewise-Defined Functions: The Unit Step Function / 8.4.1：
Solving Initial-Value Problems / 8.4.2：
Periodic Functions / 8.4.3：
Impulse Functions: The Delta Function / 8.4.4：
The Convolution Theorem / 8.5：
Integral and Integrodifferential Equations / 8.5.1：
Applications of Laplace Transforms, Part I / 8.6：
Spring-Mass Systems Revisited / 8.6.1：
L-R-C Circuits Revisited / 8.6.2：
Population Problems Revisited / 8.6.3：
Application: The Tautochrone
Laplace Transform Methods for Systems / 8.7：
Applications of Laplace Transforms, Part II / 8.8：
Coupled Spring-Mass Systems / 8.8.1：
The Double Pendulum / 8.8.2：
Application: Free Vibration of a Three-Story Building
Eigenvalue Problems and Fourier Series / 9：
Boundary-Value Problems, Eigenvalue Problems, Sturm-Liouville Problems / 9.1：
Boundary-Value Problems / 9.1.1：
Eigenvalue Problems / 9.1.2：
Sturm-Liouville Problems / 9.1.3：
Fourier Sine Series and Cosine Series / 9.2：
Fourier Sine Series / 9.2.1：
Fourier Cosine Series / 9.2.2：
Fourier Series / 9.3：
Even, Odd, and Periodic Extensions / 9.3.1：
Differentiation and Integration of Fourier Series / 9.3.3：
Parseval's Equality / 9.3.4：
Generalized Fourier Series / 9.4：
Partial Differential Equations / 10：
Introduction to Partial Differential Equations and Separation of Variables / 10.1：
The One-Dimensional Heat Equation / 10.1.1：
The Heat Equation with Homogeneous Boundary Conditions / 10.2.1：
Nonhomogeneous Boundary Conditions / 10.2.2：
Insulated Boundary / 10.2.3：
The One-Dimensional Wave Equation / 10.3：
The Wave Equation / 10.3.1：
D'Alembert's Solution / 10.3.2：
Problems in Two Dimensions: Laplace's Equation / 10.4：
Laplace's Equation / 10.4.1：
Two-Dimensional Problems in a Circular Region / 10.5：
Laplace's Equation in a Circular Region / 10.5.1：
The Wave Equation in a Circular Region / 10.5.2：
Other Partial Differential Equations / 10.5.3：
Getting Started / Appendix：
Introduction to Mathematica
A Note Regarding Different Versions of Mathematica
Getting Started with Mathematica
Five Basic Rules of Mathematica Syntax
Loading Packages
A Word of Caution
Getting Help from Mathematica
Mathematica Help
The Mathematica Menu
Bibliography
Index
Preface
Introduction to Differential Equations / 1：
Definitions and Concepts / 1.1：
30.

図書
図書
30. Microlocal analysis and hyperbolic equations (: gw ; : us)
Yu.V. Egorov, M.A. Shubin (eds.)
出版情報: Berlin : Springer-Verlag, c1993  241 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 33 . Partial differential equations ; 4
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目次情報:
Egorov: Microlocal Analysis / V.Ya. Ivrii
Linear Hyperbolic Equations
Egorov: Microlocal Analysis / V.Ya. Ivrii
Linear Hyperbolic Equations
31.

図書
図書
31. Computational algebraic geometry (: us ; : gw)
Frédéric Eyssette, André Galligo, editors
出版情報: Boston : Birkhäuser, c1993  ix, 328 p. ; 25 cm
シリーズ名: Progress in mathematics ; vol. 109
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32.

図書
図書
32. The geometry of algebraic Fermi curves (: hard)
D. Gieseker, H. Knörrer, E. Trubowitz
出版情報: Boston ; Tokyo : Academic Press, c1993  vii, 236 p. ; 24 cm
シリーズ名: Perspectives in mathematics ; vol. 14
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33.

図書
図書
33. Differential manifolds (: hard)
Antoni A. Kosinski
出版情報: Boston ; Tokyo : Academic Press, c1993  xvi, 248 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 138
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目次情報: 続きを見る
Differentiable Structures
Immersions
Imbeddings
Submanifolds
Normal Bundle
Tubular Neighborhoods
Transversality
Foliations
Operations on Manifolds
The Handle Presentation Theorem
The H-Cobordism Theorem
Framed Manifolds
Surger
Appendix
Bibliography
Differentiable Structures
Immersions
Imbeddings
34.

雑誌
雑誌
34. Selecta mathematica
出版情報: Basel : Birkhäuser, c1993-c1994  2 v. ; 23 cm
巻次年月次: Vol. 12, no. 1 (1993)-v. 13, no. 4 (1994)
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35.

図書
図書
35. Spinors, twistors, Clifford algebras, and quantum deformations : proceedings of the second Max Born Symposium held near Wrocław, Poland, September 1992
edited by Zbigniew Oziewicz, Bernard Jancewicz, and Andrzej Borowiec
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1993  xxii, 430 p. ; 25 cm
シリーズ名: Fundamental theories of physics ; v. 52
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36.

図書
図書
36. Global affine differential geometry of hypersurfaces
by An-Min Li, Udo Simon, Guosong Zhao
出版情報: Berlin ; New York : De Gruyter, 1993  xiii, 328 p. ; 25 cm
シリーズ名: De Gruyter expositions in mathematics ; 11
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37.

図書
図書
37. Quantum symmetries : proceedings of the International Workshop on Mathematical Physics : Arnold Sommerfeld Institute, Clausthal, 15-20 July 1991
edited by H.-D. Doebner, V.K. Dobrev
出版情報: Singapore : World Scientific, c1993  xi, 379 p. ; 23 cm
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38.

図書
図書
38. Non-regular Riemannian geometry (: gw ; : us)
Yu.G. Reshetnyak (ed.)
出版情報: Berlin ; New York : Springer-Verlag, c1993  250 p. ; 25 cm
シリーズ名: Encyclopaedia of mathematical sciences ; v. 70 . Geometry ; 4
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目次情報:
Two-Dimensional Manifolds of Bounded Curvature / Yu.G. Reshetnyak
Multidimensional Generalized Riemannian Spaces / V.N. Berestovskij ; I.G. Nikolaev
Two-Dimensional Manifolds of Bounded Curvature / Yu.G. Reshetnyak
Multidimensional Generalized Riemannian Spaces / V.N. Berestovskij ; I.G. Nikolaev
39.

図書
図書
39. Complex analysis in partial differential equations and mathematical physics (: gw ; : us ; : softcover)
G.M. Khenkin (ed.)
出版情報: Berlin ; New York : Springer-Verlag, c1993  286 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 54 . Several complex variables ; 5
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40.

図書
図書
40. Moduli spaces of Abelian surfaces : compactification, degenerations, and theta functions
by Klaus Hulek, Constantin Kahn, Steven H. Weintraub
出版情報: Berlin ; New York : W. de Gruyter, 1993  xii, 347 p. ; 25 cm
シリーズ名: De Gruyter expositions in mathematics ; 12
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41.

図書
図書
41. Infinite groups ; linear groups (: gw ; : us)
A.I. Kostrikin, I.R. Shafarevich (eds.)
出版情報: Berlin ; New York : Springer-Verlag, c1993  203 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 37 . Algebra ; 4
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42.

図書
図書
42. Proceedings of international conference : nonlinear mathematical problems in industry (1 ; 2)
H. Kawarada, N.Kenmochi, N. Yanagihara
出版情報: Tokyo : Gakkōtosho, 1993  2 v. ; 27 cm
シリーズ名: GAKUTO international series ; . Mathematical sciences and applications ; vol 1,2
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43.

図書
図書
43. The Riemann approach to integration : local geometric theory
Washek F. Pfeffer
出版情報: Cambridge ; New York : Cambridge University Press, 1993  xiv, 302 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 109
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目次情報: 続きを見る
Preface
Acknowledgments
One-Dimensional Integration / Part I：
Preliminaries / 1：
The McShane integral / 2：
Measure and measurability / 3：
Integrable functions / 4：
Descriptive definition / 5：
The Henstock-Kurzweil integral / 6：
Multi-Dimensional Integration / Part II：
Change of variables / 7：
The gage integral / 11：
The F-integral / 12：
Recent developments / 13：
Bibliography
List of symbols
Index
Preface
Acknowledgments
One-Dimensional Integration / Part I：
44.

図書
図書
44. Theory of algebraic invariants (: pbk ; : hbk)
David Hilbert ; translated by Reinhard C. Laubenbacher ; edited and with an introduction by Bernd Sturmfels
出版情報: Cambridge [England] ; New York, NY, USA : Cambridge University Press, 1993  xiv, 191 p. ; 24 cm
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目次情報: 続きを見る
Preface
Introduction
The Elements of Invariant Theory / Part I：
The forms / 1：
The linear transformation / 2：
The concept of an invariant / 3：
Properties of invariants and covariants / 4：
The operation symbols D and D / 5：
The smallest system of conditions for the determination of the invariants and covariants / 6：
The number of invariants of degree g / 7：
The invariants and covariants of degree two and three / 8：
Simultaneous invariants and covariants / 9：
Covariants of covariants / 10：
The invariants and covariants as functions of the roots / 11：
The invariants and covariants as functions of the one-sided derivatives / 12：
The symbolic representation of invariants and covariants / 13：
The Theory of Invariant Fields / Part II：
Proof of the finitenesss of the full invariant system via representation by root differences / 14：
A generalizable proof for the finiteness of the full invariant system / 15：
The system of invariants I; I1, I2, ..., Ik / 16：
The vanishing of the invariants / 17：
The ternary nullform / 18：
The finiteness of the number of irreducible syzygies and of the syzygy chain / 19：
The inflection point problem for plane curves of order three / 20：
The generalization of invariant theory / 21：
Observations about new types of coordinates / 22：
Preface
Introduction
The Elements of Invariant Theory / Part I：
45.

図書
図書
45. Lie-Cartan-Ehresmann theory
Robert Hermann
出版情報: Brookline, Mass. : Math Sci Press, c1993  283 p. ; 24 cm
シリーズ名: Interdisciplinary mathematics ; v. 28
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46.

図書
図書
46. Polynomial invariants of finite groups
D.J. Benson
出版情報: Cambridge : Cambridge University Press, 1993  ix, 118 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 190
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目次情報: 続きを見る
Introduction
Finite Generation of Invariants / 1：
The basic object of study / 1.1：
Noetherian rings and modules / 1.2：
Finite groups in arbitrary characteristic / 1.3：
Krull dimension and going up and down / 1.4：
Noether's bound in characteristic zero / 1.5：
Linearly reductive algebraic groups / 1.6：
Poincare series / 2：
The Hilbert-Serre theorem / 2.1：
Noether normalization / 2.2：
Systems of parameters / 2.3：
Degree and [Psi] / 2.4：
Molien's theorem / 2.5：
Reflecting hyperplanes / 2.6：
Divisor Classes, Ramification and Hyperplanes / 3：
Divisors / 3.1：
Primes of height one / 3.2：
Duality / 3.3：
Reflexive modules / 3.4：
Divisor classes and unique factorization / 3.5：
The Picard group / 3.6：
The trace / 3.7：
Ramification / 3.8：
Cl(K[V][superscript G]) / 3.9：
The different / 3.10：
The homological different / 3.11：
A ramification formula / 3.12：
The Carlisle-Kropholler conjecture / 3.13：
Homological Properties of Invariants / 4：
Minimal resolutions / 4.1：
Hilbert's syzygy theorem / 4.2：
Depth and Cohen-Macaulay rings / 4.3：
Homological characterization of depth / 4.4：
The canonical module and Gorenstein rings / 4.5：
Watanabe's theorem / 4.6：
Polynomial tensor exterior algebras / 5：
Motivation and first properties / 5.1：
A variation on Molien's theorem / 5.2：
The invariants are graded Gorenstein / 5.3：
The Jacobian / 5.4：
Polynomial rings and regular local rings / 6：
Regular local rings / 6.1：
Serre's converse to Hilbert's syzygy theorem / 6.2：
Uniqueness of factorization / 6.3：
Groups Generated by Pseudoreflections / 6.4：
Reflections and pseudoreflections / 7.1：
The Shephard-Todd theorem / 7.2：
A theorem of Solomon / 7.3：
Modular invariants / 8：
Dickson's theorem / 8.1：
The special linear group / 8.2：
Symplectic invariants / 8.3：
Examples over the complex numbers / A：
Examples over finite fields / B：
Bibliography
Index
Introduction
Finite Generation of Invariants / 1：
The basic object of study / 1.1：
47.

図書
図書
47. Finite geometry and combinatorics : the Second International Conference at Deinze
edited by A. Beutelspacher ... [et al.]
出版情報: Cambridge : Cambridge University Press, 1993  vii, 412 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 191
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目次情報: 続きを見る
Generalized hexagons and BLT-sets / L. Bader ; G. Lunardon1：
Orthogonally divergent spreads of Hermitian curves / R. D. Baker ; G. L. Ebert ; G. Korchmaros ; T.Szonyi2：
Lifts of nuclei in finite projective spaces / A. Blokhuis ; F. Mazzocca3：
Large minimal blocking sets, strong representative systems, and partial unitals / K. Metsch4：
The complement of a geometric hyperplane in a generalized polygon is usually connected / A. E. Brouwer5：
Locally co-Heawood graphs / D. G. Fon-der-Flaass ; S. V. Shpectorov6：
A theorem of Parmentier characterizing projective spaces by polarities / F. Buekenhout7：
Geometries with diagrams LP / O. H. King8：
Remarks on finite generalized hexagons and octagons with a point transitive automorphism group / H. van Maldeghem9：
Block-transitive t- designs, II: large t / P. J. Cameron ; C. E. Praeger10：
Generalized Fischer spaces / H. Cuypers11：
Ovoids and windows in finite generalized hexagons / V. de Smet12：
Flag transitive L.C2 geometries / D. Ghinelli13：
On nonics, ovals and codes in Desarguesian planes of even order / D. G. Glynn14：
Orbits of arcs in projective spaces / C. E. Gordon15：
There exists no (76,21,2,7) regular graph / W. Haemers16：
Group arcs of prime power order on cubic curves / J. W. P. Hirschfeld ; J. Voloch17：
Planar Singer groups with even order multiplier groups / C. Y. Ho18：
On a footnote of Tits concerning Dn-geometries / C. Huybrechts19：
The structure of the central units of a commutative plane / V. Jha ; G. P. Wene20：
Partially sharp subsets of PGL(n,q) / N. L. Johnson21：
Partial ovoids and generalized hexagons / 22：
A census of known flag-transitive extended grids / T. Meixner ; A. Pasini23：
Root lattice constructions of ovoids / G. E. Moorhouse24：
Coxeter groups in Coxeter groups / B. Muhlherr25：
A local characterization of the graphs of alternating forms / A. Munemasa26：
A local characterization of the graphs of alternating forms and the graphs of quadratic forms over GF(2) / D. V. Pasechnik27：
On some locally 3-transposition graphs / 28：
Coherent configurations derived from quasiregular points in generalized quadrangles / S. E. Payne29：
On Veldkamp spaces / E. E. Shult30：
The Lyons group has no distance transitive representation / L. H. Soicher31：
Intersection of arcs and normal rational curves in spaces of odd characteristic / L. Storme ; T. Szonyi32：
Flocks and partial flocks of the quadratic cone in PG(3,q) / J. A. Thas ; C. Herssens ; F. de Clerck33：
Some extended generalized hexagons / J. van Bon34：
Nuclei in finite non-Desarguesian projective planes / F. Wettl35：
Generalized hexagons and BLT-sets / L. Bader ; G. Lunardon1：
Orthogonally divergent spreads of Hermitian curves / R. D. Baker ; G. L. Ebert ; G. Korchmaros ; T.Szonyi2：
Lifts of nuclei in finite projective spaces / A. Blokhuis ; F. Mazzocca3：
48.

図書
図書
48. Symplectic geometry
edited by Dietmar Salamon
出版情報: Cambridge : Cambridge University Press, 1993  236 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 192
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A variational interpretation of MelnikovÆs function and exponitionally small separaratrix splitting / S Angenent
Global Darboux theorems and a linearization problem / E. Ciriza
Complex cobordism, AshtekarÆs equations and diffeomorphisms / S. Donaldson
Instanton homology and symplectic fixed points / S. Dostoglou ; D. Salamon
An energy-capacity inequality for the symplectic holonomy of hypersurfaces flat at infinity / Y. Eliashberg ; H. Hofer
Examples of singular reduction / E. Lerman ; R. Montgomery ; R. Sjamaar
Remarks on the uniqeness of symplectic blowing up / D. McDuff
The 4-dimensional symplectic camel and related results / L. Traynor
Differential forms and connections adapted to a contact structure / M. Rumin ; P. Pansu
The Maslov class rigidity and non-existence of lagrangian embeddings / L. Polterovich
Phase functions and path integrals / J. Robbin
Symplectic mappings which are stable at infinity / E. Zehnder
A variational interpretation of MelnikovÆs function and exponitionally small separaratrix splitting / S Angenent
Global Darboux theorems and a linearization problem / E. Ciriza
Complex cobordism, AshtekarÆs equations and diffeomorphisms / S. Donaldson
49.

図書
図書
49. Two-dimensional homotopy and combinatorial group theory (: pbk)
edited by Cynthia Hog-Angeloni, Wolfgang Metzler and Allan J. Sieradski
出版情報: Cambridge : Cambridge University Press, c1993  xi, 412 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 197
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Geometric aspects of two-dimensional complexes / C. Hog-Angeloni ; W. Metzler1：
Algebraic topology for two-dimensional complexes / A. J. Sieradski2：
Homotopy and homology classification of 2-complexes / M. P. Latiolais3：
Crossed modules and P2 homotopy modules / M. Dyer4：
Calculating generators of P2 W. Bogley and / S. J. pride5：
Applications of diagrams to decision processes / G. Huck ; S. Rosebrock6：
Fox ideals, N-torsion and applications to groups and 3-manifolds / M. Lustig7：
(Singular) 3-manifolds / A. Sieradski8：
Cancellation results for 2-complexes and 4-manifolds and some applications / I. Hambleton ; M. Kreck9：
J. H. C. Whitehead's asphericity question / W. Bogley10：
Zeeman's collapsing conjecture / S. Matveev ; D. Rolfsen11：
The Andrews-Curtis conjecture and its generalizations / 12：
Geometric aspects of two-dimensional complexes / C. Hog-Angeloni ; W. Metzler1：
Algebraic topology for two-dimensional complexes / A. J. Sieradski2：
Homotopy and homology classification of 2-complexes / M. P. Latiolais3：
50.

図書
図書
50. Topological methods in modern mathematics : a Symposium in Honor of John Milnor's Sixtieth Birthday
[edited by Lisa R. Goldberg and Anthony V. Phillips]
出版情報: Houston : Publish or Perish, 1993  xxi, 566 p. ; 25 cm
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