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1.

図書
図書
1. Introduction to real analysis
Liviu I. Nicolaescu
出版情報: Hackensack, N.J. : World Scientific, c2020  xv, 665 p. ; 25 cm
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2.

図書
図書
2. Elementary mathematical models : an accessible development without calculus. 2nd ed
Dan Kalman, Sacha Forgoston, Albert Goetz
出版情報: Providence, R.I. : MAA Press, an imprint of the American Mathematical Society, c2019  xvi, 509 p. ; 27 cm
シリーズ名: AMS/MAA textbooks ; v. 50
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3.

図書
図書
3. Краткий курс математического анализа : для втузов. Изд. 4-е, перер. и доп
А.Ф. Бермант, И.Г. Араманович
出版情報: Москва : Наука, Глав. редакция физико-математической лит-ры, 1966  735 p. ; 23 cm
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4.

図書
図書
4. Элементы математического анализа (т. 2)
Г.П. Толстов
出版情報: Москва : Изд-во "Наука", Глав. ред. физико-математической лит-ры, 1966  462 p. ; 23 cm
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5.

図書
図書
5. Lyapunov-Schmidt methods in nonlinear analysis and applications
by Nikolay Sidorov ... [et al.]
出版情報: Dordrecht ; London : Kluwer Academic Publishers, c2002  xx, 548 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 550
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目次情報: 続きを見る
Preface
On Regularization of Linear Equations on the Basis of Perturbation Theory / 1.：
Generalised Jordan chains, sets and root numbers of linear operators
Regularization of linear equations with Fredholm operators / 2.：
Principal theorem on regularization of linear equations by the perturbation method / 3.：
Regularization of linear equations on the basis of perturbation theory in Hilbert spaces / 4.：
Computation of eigenvalues and eigenvectors of linear operators by pseudo-perturbation method / 5.：
Notes / 6.：
Investigation of Bifurcation Points of a Nonlinear Equations
Lyapunov-Schmidt BEq in the problem of a bifurcation point
General existence theorems for the bifurcation points
Construction of asymptotics in a neighborhood of a bifurcation point
Asymptotic bifurcation points
On perturbation of the branch points of nonlinear equations
Notes and generalization
Regularization of Computation of Solutions in a Neighborhood of the Branch Point
Construction of the regularizing equation in the problem at a branch point
Definition and properties of simple solutions
Regularization of calculations of simple solutions of nonlinear equations
Regularization of method for continuation along parameter in a neighborhood of a branch point
Notes and remarks
Iterations, Interlaced Equations and Lyapunov Convex Majorants in Nonlinear Analysis
Iterations and uniformization of branching solutions in nonlinear analysis
BEq and the selection of the initial approximation / 1.1：
On the role of supporting lines and Newton diagrams in the construction of the initial approximation / 1.2：
A one-step iteration method / 1.3：
An N-step iteration method / 1.4：
On regularization in the sense of Tikhonov, modifications and possible generalizations of an N-step method / 1.5：
Remarks / 1.6：
Interlaced and potential BEq
The property of (S, K)-interlacing of an equation and its inheritance by the BEq / 2.1：
(T, M)-interlaced and (T[superscript 2], M)-interlaced BEq / 2.2：
[alpha]-parametric interlaced BEq / 2.3：
Interlaced BEq of potential type / 2.4：
Surface bundle of a domain of free parameters / 2.5：
Parametrization of solutions and the method of successive approximations / 2.6：
On the role of Lyapunov convex majorants in the nonlocal existence theorems of implicit functions
Majorants independent of parameters / 3.1：
Majorants depending on a parameter / 3.2：
Investigation of the existence domain of the solution of equation F(u, [varepsilon]) = 0. / 3.3：
Methods of Representation Theory and Group Analysis in Bifurcation Theory
Nonlinear equations invariant under transformation groups
Lyapounov-Schmidt BEq and some methods of their reduction
Some applications
Hereditary symmetry of branching equations and resolving systems
Invariance properties of BEq
Resolving systems for differential equations with Fredholm operator at the derivative and their symmetry
On the Grobman-Hartman theorem for equations with degenerate operator at the derivative
Construction and investigation of the branching equation by group analysis methods
BEq of solutions invariant relative to subgroups of the original equation group symmetry
Potential BEq
Direct methods of BEq group invariance usage for its general form construction by admitted group symmetry
Applications of Lie--Ovsyannikov theorem about invariant manifolds for the construction of BEq general form by allowing group symmetry / 4.1：
Non-linearly perturbed Helmholtz equations
Domain symmetry and bifurcational solutions asymptotics / 5.1：
Periodic solutions / 5.2：
Capillary--gravity waves in fluid layers
Capillary--gravity waves in a floating fluid spatial layer / 6.1：
Capillary--gravity waves at the interface of two fluids flow / 6.2：
Capillary--gravity waves on a cylindrical surface / 6.3：
Ferrofluid layer in a magnetic field / 6.4：
Fluid phase state crystallization problem in statistical crystal theory / 7.：
The statement of the problem / 7.1：
Subspaces N(B[subscript s]). Their expansions on irreducible subspaces relative to O[subscript h] / 7.2：
The BEq construction / 7.3：
Asymptotics of small solutions families for n[subscript s] = 1, 3 / 7.4：
Solutions invariant relative to normal divisors O[subscript h] / 7.5：
Andronov--Hopf bifurcation under group symmetry conditions / 8.：
BEq derivation in non-stationary bifurcation / 8.1：
Symmetry inheritance theorem / 8.2：
BEq construction by group analysis methods / 8.3：
On the asymptotics of small solutions / 8.4：
Stability of the bifurcating solutions / 9.：
Singular Differential Equations in Banach Spaces
Fundamental operator functions
Generalized functions in Banach spaces
Fundamental operator functions of singular differential operators
Fundamental operator functions of singular integral and integro-differential operators
The initial value problem for a differential equation having a Noetherian operator at the derivative. Periodic solutions and the property of convergence
Auxiliary information on Jordan sets of Noetherian operators
The initial value problem for a linear differential equation
The initial value problem for a nonlinear differential equation
Integral pseudo-solutions
Non-stationary differential equations with singularities
The initial value problem for a non-stationary linear equation and systems of 1st kind integral Volterra equations
The initial value problem for a non-stationary linear differential equation and a system of integral Volterra equations with a singularity
Branching differential equations of the initial value problem with singularity
The initial value problem for a nonlinear differential equation and equations with a singular point / 3.4：
Partial differential equations with the Fredholm operator in the main part
The theory of semigroups and groups of operators with kernels
Relative resolvents. Relatively adjoint elements
Relatively spectrally bounded operators and analytical groups of operators with kernells
Relatively sectorial operators and analytical semigroups of operators with kernels / 5.3：
Steady-State Solutions of the Vlasov--Maxwell System
Introduction
Stationary solutions of a VM system
The reduction of VM system to the resolving elliptic system (2.28), (2.29)
The reduction of the resolving system to the unique resolving equation
Existence of solutions of the boundary value problem (2.40)-(2.42)
Applications of the reduction theorems
Normalized solutions for a one-component distribution function
Non-stationary problem
Bifurcation points and nontrivial solutions of the stationary VM system
Statement of the boundary value problem and the problem at a bifurcation point / 4.2：
Resolution of the bifurcation equation / 4.3：
The existence theorem for bifurcation points and the construction of asymptotic solutions / 4.4：
Appendices
Positive solutions of the nonlinear singular boundary value problem of magnetic insulation / A：
References
Preface
On Regularization of Linear Equations on the Basis of Perturbation Theory / 1.：
Generalised Jordan chains, sets and root numbers of linear operators
6.

図書
図書
6. Introduction to superanalysis
Felix Alexandrovich Berezin ; edited by A.A. Kirillov ; translated from the Russian by J. Niederle and R. Kotecký ; English translation edited and revised by Dimitri Leites
出版情報: Dordrecht : D. Reidel , Norwell, MA : Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, c1987  xii, 424 p. ; 23 cm
シリーズ名: Mathematical physics and applied mathematics ; v. 9
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7.

図書
図書
7. Advanced mathematical analysis : periodic functions and distributions, complex analysis, Laplace transform and applications (: us : hard cover - : gw : pbk)
Richard Beals
出版情報: New York ; Berlin : Springer-Verlag, c1973  x, 230 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; v. 12
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8.

図書
図書
8. Nonlinearity and functional analysis : lectures on nonlinear problems in mathematical analysis
Melvin S. Berger
出版情報: New York : Academic Press, 1977  xix, 417 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 74
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9.

図書
図書
9. Perspectives in nonlinearity : an introduction to nonlinear analysis
[by] Melvyn Berger and Marion Berger
出版情報: New York : W.A. Benjamin, 1968  189 p. ; 24 cm
シリーズ名: Mathematics lecture note series
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10.

図書
図書
10. Complex analysis and applications. 2nd ed
William R. Derrick
出版情報: Belmont, Calif. : Wadsworth International Group, c1984  xiii, 347 p. ; 25 cm
シリーズ名: The Wadsworth mathematics series
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11.

図書
図書
11. Real analysis with point-set topology
Donald L. Stancl, Mildred L. Stancl
出版情報: New York : M. Dekker, c1987  x, 287 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 113
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12.

図書
図書
12. Inequalities (: gw ; : us)
by Edwin F. Beckenbach and Richard Bellman
出版情報: Berlin : Springer, 1971, c1965  xi, 198 p. ; 24 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; Bd. 30
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13.

図書
図書
13. Mathematical analysis
Gabriel Klambauer
出版情報: New York : M. Dekker, c1975  viii, 500 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 31
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14.

図書
図書
14. Introduction to calculus and analysis (v. 1 - v. 2. : pbk)
Richard Courant and Fritz John, with the assistance of Albert A. Blank, Alan Solomon
出版情報: New York : Interscience Publishers, 1965-1974  2 v. ; 24 cm
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目次情報: 続きを見る
Relations Between Surface and Volume Integrals: Connection Between Line Integrals and Double Integrals in the Plane
Vector Form of the Divergence Theorem / Stokes's Theorem
Formula for Integration by Parts in Two Dimensions: / Green's Theorem
The Divergence Theorem Applied to the Transformation of Double Integrals
Area Differentiation
Interpretation of the Formulae of Gauss and Stokes by Two-Dimensional Flows
Orientation of Surfaces
Integrals of Differential Forms and of Scalars over Surfaces
Gauss's and Green's Theorems in Space
Appendix: General Theory of Surfaces and of Surface Integrals.- Differential Equations: The Differential Equations for the Motion of a Particle in Three Dimensions
The General Linear Differential Equation of the First Order
Linear Differential Equations of Higher Order
General Differential Equations of the First Order
Systems of Differential Equations and Differential Equations of Higher Order
Integration by the Method of Undermined Coefficients
The Potential of Attracting Charges and Laplace's Equation
Further Examples of Partial Differential Equations from Mathematical Physics
Calculus of Variations: Functions and Their Extreme Values of a Functional
Generalizations
Problems Involving Subsidiary Conditions. Lagrange Multipliers
Functions of a Complex Variable: Complex Functions Represented by Power Series
Foundations of the General Theory of Functions of a Complex Variable
The Integration of Analytic Functions
Cauchy's Formula and Its Applications
Applications to Complex Integration (Contour Integration)
Many-Valued Functions and Analytic Extension.
List of Biographical Dates
Index
Relations Between Surface and Volume Integrals: Connection Between Line Integrals and Double Integrals in the Plane
Vector Form of the Divergence Theorem / Stokes's Theorem
Formula for Integration by Parts in Two Dimensions: / Green's Theorem
15.

図書
図書
15. A first course in real analysis (us ; gw)
M.H. Protter, C.B. Morrey
出版情報: New York : Springer-Verlag, c1977  xi, 507 p. ; 24 cm
シリーズ名: Undergraduate texts in mathematics
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目次情報: 続きを見る
The Real Number System / 1：
Continuity and Limits / 2：
Basic Properties of Functions on R / 3：
Elementary Theory of Differentiation / 4：
Elementary Theory of Integration / 5：
Elementary Theory of Metric Spaces / 6：
Differentiation in R / 7：
Integration in R / 8：
Infinite Sequences and Infinite Series / 9：
Fourier Series / 10：
Functions Defined by Integrals; Improper Integrals / 11：
The Riemann-Stieltjes Integral and Functions of Bounded Variation / 12：
Contraction Mappings, Newton's Method, and Differential Equations / 13：
Implicit Function Theorems and Lagrange Multipliers / 14：
Functions on Metric Spaces; Approximation / 15：
Vector Field Theory; the Theorems of Green and Stokes / 16：
Appendices
The Real Number System / 1：
Continuity and Limits / 2：
Basic Properties of Functions on R / 3：
16.

図書
図書
16. Power series, integration, conformal mapping, location of zeros
Peter Henrici
出版情報: New York : Wiley, c1974  xv, 682 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; . Applied and computational complex analysis / Peter Henrici ; v. 1
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17.

図書
図書
17. Special functions, integral transforms, asymptotics, continued fractions
Peter Henrici
出版情報: New York : Wiley, c1977  ix, 662 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; . Applied and computational complex analysis / Peter Henrici ; v. 2
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18.

図書
図書
18. Algebraic analysis
Danuta Przeworska-Rolewicz
出版情報: Dordrecht ; Tokyo : D. Reidel Pub. Co , Warszawa : PWN-Polish Scientific Publishers , Norwell, MA : Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, c1988  xvi, 624 p. ; 23 cm
シリーズ名: Mathematics and its applications ; East European series
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19.

図書
図書
19. On a new method of analysis and its applications
Paul Turán, published posthumously, with the assistance of Gábor Halász and János Pintz
出版情報: New York : Wiley-Interscience, c1984  xvi, 584 p. ; 25 cm
シリーズ名: Pure and applied mathematics : a Wiley-Interscience series of texts, monographs, and tracts
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20.

図書
図書
20. Absolute analysis (: us ; : gw)
F. and R. Nevanlinna ; translated from the German by Phillipp Emig
出版情報: Berlin ; Heidelberg ; New York : Springer, 1973  270 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 102
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21.

図書
図書
21. Analytic inequalities
D.S. Mitrinović ; in cooperation with P.M. Vasić
出版情報: Berlin ; New York : Springer-Verlag, 1970  xi, 400 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 165
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22.

図書
図書
22. Complex analysis and algebraic geometry : a volume in memory of Michael Schneider
Editors, Thomas Peternell, Frank-Olaf Schreyer
出版情報: Berlin : Walter de Gruyter, 2000  x, 406 p. ; 25 cm
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目次情報: 続きを見る
Almost-lines and quasi-lines on projective manifolds / Lucian Badescu ; Mauro C. Beltrametti ; Paltin Ionescu
Transfert de metrique / Daniel Barlet ; Jon Magnusson
On the classification of K3 surfaces with nine cusps / Wolf P. Barth
Complex manifolds with split tangent bundle / Arnaud Beauville
Projections from subvarieties / Alan Howard ; Michael Schneider ; Andrew J. Sommese
Generalized Petersson-Weil metric on the Douady space of embedded manifolds / Indranil Biswas ; Georg Schumacher
On simply connected Godeaux surfaces / Fabrizio Catanese ; Roberto Pignatelli
On the Wahl map of plane nodal curves / Ciro Ciliberto ; Angelo Felice Lopez ; Rick Miranda
A remark on projective embeddings of varieties with non-negative cotangent bundles / Lawrence Ein ; Bo Ilic ; Robert Lazarsfeld
The fundamental group's structure of the complement of some configurations of real line arrangements / David Garber ; Mina Teicher
Kahlerian structures on symplectic reductions / Peter Heinzner ; Alan Huckleberry
Nef divisors on moduli spaces of abelian varieties / Klaus Hulek
Abelian surfaces with two plane cubic curve fibrations and Calabi-Yau threefolds / Kristian Ranestad
Real algebraic threefolds IV. Del Pezzo fibrations / Janos Kollar
Seiberg-Witten invariants for 4-manifolds with b+ = 0 / Christian Okonek ; Andrei Teleman
A geometric proof of Ax' theorem / Jeroen G. Spandaw
A note on the Cayley-Bacharach property for vector bundles / Sheng-Li Tan ; Eckart Viehweg
The scientific work of Michael Schneider / Thomas Peternell
Michael Schneider-an alpine vita / Ulf Persson
Lectures of the Symposium
List of Authors and Participants
Almost-lines and quasi-lines on projective manifolds / Lucian Badescu ; Mauro C. Beltrametti ; Paltin Ionescu
Transfert de metrique / Daniel Barlet ; Jon Magnusson
On the classification of K3 surfaces with nine cusps / Wolf P. Barth
23.

図書
図書
23. Handbook of complex variables
Steven G. Krantz
出版情報: Boston, Mass. : Birkhäuser, c1999  xxiv, 290 p. ; 24 cm
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24.

図書
図書
24. Methods of real analysis
by Richard R. Goldberg
出版情報: New York : Blaisdell, Division of Ginn, 1964  359 p ; 26 cm
シリーズ名: A Blaisdell book in the pure and applied sciences
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25.

図書
図書
25. Analytic and geometric inequalities and applications
edited by Themistocles M. Rassias and Hari M. Srivastava
出版情報: Dordrecht : Kluwer Academic, c1999  vii, 378 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 478
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26.

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図書
26. Superanalysis
by Andrei Khrennikov
出版情報: Dordrecht [Netherlands] ; Boston : Kluwer Academic Publishers, c1999  ix, 347 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 470
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27.

図書
図書
27. Linear algebra and analysis
André Lichnerowicz ; translated by Alison Johnson
出版情報: San Francisco : Holden-Day, c1967  xv, 304 p. ; 24 cm
シリーズ名: The Mathesis series
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28.

図書
図書
28. Real numbers, sequences and series
W.J. Kaczor, M.T. Nowak
出版情報: Providence, R.I. : American Mathematical Society, c2000  xiv, 380 p. ; 22 cm
シリーズ名: Student mathematical library ; v. 4 . Problems in mathematical analysis ; 1
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目次情報: 続きを見る
Problems: Real numbers
Sequence of real numbers
Series of real numbers
Solutions: Real numbers
Sequences of real numbers
Bibliography
Problems: Real numbers
Sequence of real numbers
Series of real numbers
29.

図書
図書
29. Introduction à l'algèbre et l'analyse modernes. 3. éd
Marc Zamansky
出版情報: Paris : Dunod, 1967 [c1966]  xviii, 435 p ; 25 cm
シリーズ名: Collection universitaire de mathématiques ; 1
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30.

図書
図書
30. Introductory real analysis
by M.E. Munroe
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, 1965  viii, 198 p ; 25 cm
シリーズ名: Addison-Wesley series in mathematics / Eric Reissner, consulting editor
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31.

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図書
31. Intermediate analysis
Norman B. Haaser, Joseph P. La Salle, Joseph A. Sullivan
出版情報: New York : Blaisdell, 1964  xii, 677 p. ; 24 cm
シリーズ名: A course in mathematical analysis / Norman B. Hasser, Joseph P. LaSalle, Joseph A. Sullivan ; v. 2
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32.

図書
図書
32. A course in real analysis
John N. McDonald, Neil A. Weiss ; biographies by Carol A. Weiss
出版情報: San Diego : Academic Press, c1999  xvii, 745 p. ; 24 cm
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目次情報: 続きを見る
Set Theory
The Real Numbers and Calculus Lebesque
Theory on the Real Line Measure
Theory Elements of Probability Differentiation
Elements of Topological and Metric
Spaces Completeness, Compactness, and Approximation
Hilbert Spaces
Classical Banach Spaces
Basic Theory of Normed and Locally
Convex Spaces
Elements of Harmonic
Analysis Measurable Dynamical Systems
Index
Set Theory
The Real Numbers and Calculus Lebesque
Theory on the Real Line Measure
33.

図書
図書
33. Nonlinear analysis and continuum mechanics : papers for the 65th birthday of James Serrin (: (alk. paper))
Giuseppe Buttazzo ... [et al.], editors
出版情報: New York : Springer, c1998  x, 148 p. ; 25 cm
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34.

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図書
34. Integral geometry, radon transforms and complex analysis : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Venice, Italy, June 3-12, 1996 (: pbk)
C.A. Berenstein ... [et al.] ; editors, E. Casadio Tarabusi, M.A. Picardello, G. Zampieri
出版情報: Berlin : Springer, c1998  vi, 160 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1684
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35.

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図書
35. An introduction to analysis
Daniel Saltz
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, 1965  viii, 280 p. ; 24 cm
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36.

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図書
36. Mathematical methods of operations research
by Thomas L. Saaty
出版情報: New York : McGraw-Hill, 1959  xi, 421 p. ; 24 cm
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37.

図書
図書
37. Quasiconformal mappings and analysis : a collection of papers honoring F.W. Gehring (: hardcover)
edited by Peter Duren ... [et al.]
出版情報: New York : Springer, c1998  x, 378 p. ; 25 cm
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38.

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図書
38. Homeomorphisms in analysis
Casper Goffman, Togo Nishiura, Daniel Waterman
出版情報: Providence, R.I. : American Mathematical Society, c1997  xiv, 216 p. ; 27 cm
シリーズ名: Mathematical surveys and monographs ; v. 54
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目次情報: 続きを見る
The One Dimensional Case: Subsets of $\mathbb{R}$ / Part 1：
Baire class 1 Differentiability classes
The derivative function
Mappings and Measures on ${\mathbb R}^n$: Bi-Lipschitzian homeomorphisms / Part 2：
Approximation by homeomorphisms
Measures on $\mathbb{R}^n$ Blumberg's theorem
Fourier Series: Improving the behavior of Fourier series / Part 3：
Preservation of convergence of Fourier series
Fourier series of integrable functions
Supplementary material
Bibliography
Index
The One Dimensional Case: Subsets of $\mathbb{R}$ / Part 1：
Baire class 1 Differentiability classes
The derivative function
39.

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図書
39. Integral methods in science and engineering (v. 1 ; v. 2)
C. Constanda, J. Saranen and S. Seikkala (editors)
出版情報: Harlow, Essex : Longman, 1997  2 v. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 374-375
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40.

図書
図書
40. Introduction to complex analysis
Junjiro Noguchi ; translated by Junjiro Noguchi
出版情報: Providence, R.I. : American Mathematical Society, c1998  xi, 250 p. ; 26 cm
シリーズ名: Translations of mathematical monographs ; v. 168
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41.

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図書
41. Handbook of multivalued analysis (: set ; v. 1: Theory ; v. 2: Applications)
by Shouchuan Hu and Nikolas S. Papageorgiou
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1997-  v. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 419, 500
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目次情報: 続きを見る
Theory / Volume A：
Continuity of Multifunctions / 1：
Measurable Multifunctions / 2：
Monotone and Accretive Operators / 3：
Degree Theory for Multifunctions / 4：
Fixed Points / 5：
Concave Multifunctions and Tangent Cones / 6：
Convergence of Multifunctions / 7：
Set-Valued Random Processes and Multimeasures / 8：
Appendix A.1
Topology. A.2
Measure Theory. A.3
Functional Analysis
References
Symbols
Index
Preface
Evolution Inclusions Involving Monotone Coercive Operators / I：
Evolution Inclusions of the Subdifferential Type / II：
Special Topics in Differential and Evolution Inclusions / III：
Optimal Control / IV：
Calculus of Variations / V：
Mathematical Economics / VI：
Stochastic Games / VII：
Special Topics in Mathematical Economics and Optimization / VIII：
Appendix
Symbol
Errata of Volume A
Theory / Volume A：
Continuity of Multifunctions / 1：
Measurable Multifunctions / 2：
42.

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図書
42. Foundations of real and abstract analysis
Douglas S. Bridges
出版情報: New York : Springer, c1998  xiv, 322 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 174
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43.

図書
図書
43. Advanced calculus : an introduction to mathematical analysis
S. Zaidman
出版情報: River Edge, NJ : World Scientific, 1997  vii, 169 p. ; 23 cm
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44.

図書
図書
44. Basic elements of real analysis (: hardcover)
Murray H. Protter
出版情報: New York : Springer, c1998  xi, 273 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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45.

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図書
45. Optima and equilibria : an introduction to nonlinear analysis. 2nd ed
Jean-Pierre Aubin ; translated from the French by Stephen Wilson
出版情報: Berlin ; New York : Springer-Verlag, 1998  xvii, 429 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 140
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46.

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図書
46. Complex analysis. 4th ed
Serge Lang
出版情報: New York : Springer, c1999  xiv, 485 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 103
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目次情報: 続きを見る
Basic Theory / I：
Complex Numbers and Functions / 1：
Power Series / 2：
Cauchy's Theorem, First Part / 3：
Winding Numbers and Cauchy's Theorem / 4：
Applications of Cauchy's Integral Formula / 5：
Calculus of Residues / 6：
Conformal Mappings / 7：
Harmonic Functions / 8：
Geometric Function Theory / II：
Schwarz Reflection / 9：
The Riemann Mapping Theorem / 10：
Analytic Continuation Along Curves / 11：
Various Analytic Topics / III：
Applications of the Maximum Modulus Principle and Jensen's Formula / 12：
Entire and Meromorphic Functions / 13：
Elliptic Functions / 14：
The Gamma and Zeta Functions / 15：
The Prime Number Theorem / 16：
Basic Theory / I：
Complex Numbers and Functions / 1：
Power Series / 2：
47.

図書
図書
47. Introduction to calculus and analysis. Reprint of the 1989 ed (v. 1 ; v. II/1 ; v. II/2)
Richard Courant, Fritz John
出版情報: Berlin ; New York ; Tokyo : Springer-Verlag, c1999-c2000  3 v. ; 24-25 cm
シリーズ名: Classics in mathematics
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Relations Between Surface and Volume Integrals: Connection Between Line Integrals and Double Integrals in the Plane
Vector Form of the Divergence Theorem / Stokes's Theorem
Formula for Integration by Parts in Two Dimensions: / Green's Theorem
The Divergence Theorem Applied to the Transformation of Double Integrals
Area Differentiation
Interpretation of the Formulae of Gauss and Stokes by Two-Dimensional Flows
Orientation of Surfaces
Integrals of Differential Forms and of Scalars over Surfaces
Gauss's and Green's Theorems in Space
Appendix: General Theory of Surfaces and of Surface Integrals.- Differential Equations: The Differential Equations for the Motion of a Particle in Three Dimensions
The General Linear Differential Equation of the First Order
Linear Differential Equations of Higher Order
General Differential Equations of the First Order
Systems of Differential Equations and Differential Equations of Higher Order
Integration by the Method of Undermined Coefficients
The Potential of Attracting Charges and Laplace's Equation
Further Examples of Partial Differential Equations from Mathematical Physics
Calculus of Variations: Functions and Their Extreme Values of a Functional
Generalizations
Problems Involving Subsidiary Conditions. Lagrange Multipliers
Functions of a Complex Variable: Complex Functions Represented by Power Series
Foundations of the General Theory of Functions of a Complex Variable
The Integration of Analytic Functions
Cauchy's Formula and Its Applications
Applications to Complex Integration (Contour Integration)
Many-Valued Functions and Analytic Extension.
List of Biographical Dates
Index
Functions of Several Variables and Their Derivatives: Points and Points Sets in the Plane and in Space
Functions of Several Independent Variables
Continuity
The Partial Derivatives of a Function
The Differential of a Function and Its Geometrical Meaning
Functions of Functions (Compound Functions) and the Introduction of New Independent Variables
The mean Value Theorem and Taylor's Theorem for Functions of Several Variables
Integrals of a Function Depending on a Parameter
Differentials and Line Integrals
The Fundamental Theorem on Integrability of Linear Differential Forms
Appendix.- Vectors, Matrices, Linear Transformations: Operatios with Vectors
Matrices and Linear Transformations
Determinants
Geometrical Interpretation of Determinants
Vector Notions in Analysis.- Developments and Applications of the Differential Calculus: Implicit Functions
Curves and Surfaces in Implicit Form
Systems of Functions, Transformations, and Mappings
Applications
Families of Curves, Families of Surfaces, and Their Envelopes
Alternating Differential Forms
Maxima and Minima
Appendix.- Multiple Integrals: Areas in the Plane
Double Integrals
Integrals over Regions in three and more Dimensions
Space Differentiation. Mass and Density
Reduction of the Multiple Integral to Repeated Single Integrals
Transformation of Multiple Integrals
Improper Multiple Integrals
Geometrical Applications
Physical Applications
Multiple Integrals in Curvilinear Coordinates
Volumes and Surface Areas in Any Number of Dimensions
Improper Single Integrals as Functions of a Parameter
The Fourier Integral
The Eulerian Integrals (Gamma Function)
Appendix
Relations Between Surface and Volume Integrals: Connection Between Line Integrals and Double Integrals in the Plane
Vector Form of the Divergence Theorem / Stokes's Theorem
Formula for Integration by Parts in Two Dimensions: / Green's Theorem
48.

図書
図書
48. The geometry of domains in space (: us)
Steven G. Krantz, Harold R. Parks
出版情報: Boston, MA : Birkhauser, 1999  x, 308 p. ; 25 cm
シリーズ名: Basler Lehrbücher : a series of advanced textbooks in mathematics
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49.

図書
図書
49. Introductory mathematics : algebra and analysis (: pbk)
Geoff Smith
出版情報: London : Springer, c1998  xvi, 215 p. ; 24 cm
シリーズ名: Springer undergraduate mathematics series
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Preface
Sets, Functions and Relations
Proof
Complex Numbers
Vectors and matrices
Group Theory
Sequences and series
Continuity and functions
Index
Preface
Sets, Functions and Relations
Proof
50.

図書
図書
50. Analysis. 4. Aufl. (1 : gw)
Wolfgang Walter
出版情報: Berlin : Springer, c1997  xii, 387 p. ; 24 cm
シリーズ名: Grundwissen Mathematik
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