A first course in real analysis

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A first course in real analysis / M.H. Protter, C.B. Morrey

資料種別:

図書

出版情報:

New York : Springer-Verlag, c1977

形態:

xi, 507 p. ; 24 cm

シリーズ名:

Undergraduate texts in mathematics <BA00018418>

著者名:

ISBN:

9780387902159 [0387902155] (us)
9783540902157 [3540902155] (gw)

書誌ID:

BA01299491

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes index

主題:

Mathematical analysis

言語:

英語

目次情報:

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：

Elementary Theory of Differentiation / 4：

Elementary Theory of Integration / 5：

Elementary Theory of Metric Spaces / 6：

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