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1.

図書

図書
G. Baley Price
出版情報: New York : Springer-Verlag, c1984  xiv, 655 p. ; 24 cm
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2.

図書

図書
Wendell Fleming
出版情報: New York : Springer-Verlag, c1977  xi, 411 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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目次情報: 続きを見る
Euclidean spaces / 1:
Elementary topology of E / 2:
Differentiation of real-valued functions / 3:
Vector-valued functions of several variables / 4:
Integration / 5:
Curves and line integrals / 6:
Exterior algebra and differential calculus / 7:
Integration on manifolds / 8:
Axioms for a vector space / Appendix 1:
Mean value theorem / Appendix 2:
Review of Riemann integration / Appendix 3:
Monotone functions / Appendix 4:
Index / References:
Euclidean spaces / 1:
Elementary topology of E / 2:
Differentiation of real-valued functions / 3:
3.

図書

図書
[by] Robert T. Seeley
出版情報: [Glenview, Ill.] : Scott, Foresman, c1970  295 p ; 25 cm
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4.

図書

図書
J.-A. Riestra
出版情報: Harlow, Essex, England : Longman , New York : Wiley, 1995  125 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 329
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5.

図書

図書
Serge Lang
出版情報: New York ; Tokyo : Springer-Verlag, c1987  xii, 503, 91, 4 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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目次情報: 続きを見る
Basic Material / I:
Vectors / 1:
Differentiation of Vectors / 2:
Functions of Several Variables / 3:
The Chain Rule and the Gradient / 4:
Maxima, Minima, and Taylor's Formula / II:
Maximum and Minimum / 5:
Higher Derivatives / 6:
Curve Integrals and Double Integrals / III:
Potential Functions / 7:
Curve Integrals / 8:
Double Integrals / 9:
Green's Theorem / 10:
Triple and Surface Integrals / IV:
Triple Integrals / 12:
Mappings, Inverse Mappings, and Change of Variables Formula / V:
Matrices / 13:
Linear Mappings / 14:
Determinants / 15:
Applications to Functions of Several Variables / 16:
The Change of Variables Formula / 17:
Appendix: Fourier Series
Basic Material / I:
Vectors / 1:
Differentiation of Vectors / 2:
6.

図書

図書
edited by Ju. V. Linnik
出版情報: Providence, R.I. : American Mathematical Society, 1966  iv, 259 p. ; 26 cm
シリーズ名: Proceedings of the Steklov Institute of Mathematics ; no. 79
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7.

図書

図書
edited by S.M. Nikolʹskiǐ ; [translated from the Russian by G.W. Hedstrom]
出版情報: Providence, : American Mathematical Society, 1967-  v. ; 26 cm
シリーズ名: Proceedings of the Steklov Institute of Mathematics ; no. 77, 89, 105, 117, 131
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8.

図書

図書
[by] Wendell H. Fleming
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, [1965]  x, 337 p. ; 25 cm
シリーズ名: Addison-Wesley series in mathematics / Eric Reissner, consulting editor
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9.

図書

図書
J. Aczél, J. Dhombres
出版情報: Cambridge [Cambridgeshire] : Cambridge University Press, 1989  xiii, 462 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications ; v. 31
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目次情報: 続きを見る
Preface
Further information
Axiomatic motivation of vector addition / 1:
Cauchy+s equation: Hamel basis / 2:
Three further Cauchy equations: an application to information theory / 3:
Generalizations of Cauchy+s equations to several multiplace vector and matrix functions: an application to geometric objects / 4:
Cauchy+s equations for complex functions: applications to harmonic analysis and to information measures / 5:
Conditional Cauchy equations: an application to geometry and a characterization of the Heaviside functions / 6:
Addundancy, extensions, quasi-extensions and extensions almost everywhere: applications to harmonic analysis and to rational decision making / 7:
D+Alembert+s functional equation: an application to noneuclidean mechanics / 8:
Images of sets and functional equations: applications to relativity theory and to additive functions bounded on particular sets / 9:
Some applications of functional equations in functional analysis, in the geometry of Banach spaces and in valauation theory / 10:
Characterizations of inner product spaces: an application to gas dynamics / 11:
Some related equations and systems of equations: applications to combinatorics and Markov processes / 12:
Equations for trigonometric and similar functions / 13:
A class of equations generalizing d+Alembert and Cauchy Pexider-type equations / 14:
A further generalization of Pexider+s equation: a uniqueness theorem: an application to mean values / 15:
More about conditional Cauchy equations: applications to additive number theoretical functions and to coding theory / 16:
Mean values, mediality and self-distributivity / 17:
Generalized mediality: connection to webs and nomograms / 18:
Further composite equations: an application to averaging theory / 19:
Homogeneity and some generalizations: applications to economics / 20:
Historical notes / 21:
Notations and symbols
Hints to selected +exercises and further results+
Bibliography
Author index
Subject index
Preface
Further information
Axiomatic motivation of vector addition / 1:
10.

図書

図書
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley Pub. Co, c1973  viii, 376 p. ; 25 cm
シリーズ名: Addison-Wesley series in mathematics
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