Advanced Calculus

An Introduction to Analysis, Global Edition

Watson Fulks (Autor)

Buch | Hardcover

752 Seiten

1978 | 3rd edition
John Wiley & Sons Inc (Verlag)
978-0-471-02195-7 (ISBN)

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Introduces analysis, presenting analytical proofs backed by geometric intuition and placing minimum reliance on geometric argument. This edition separates continuity and differentiation and expands coverage of integration to include discontinuous functions. The discussion of differentiation of a vector function of a vector variable has been modernized by defining the derivative to be the Jacobian matrix; and, the general form of the chain rule is given, as is the general form of the implicit transformation theorem.

Watson Fulks is the author of Advanced Calculus: An Introduction to Analysis, 3rd Edition, published by Wiley.

CALCULUS OF ONE VARIABLE.

The Number System.

Functions, Sequences, and Limits.

Continuity and More Limits.

Differentiation.

Integration.

The Elementary Transcendental Functions.

VECTOR CALCULUS.

Vectors and Curves.

Functions of Several Variables.

Limits and Continuity.

Differential Functions.

The Inversion Theorem.

Multiple Integrals.

Line and Surface Integrals.

THEORY OF CONVERGENCE.

Infinite Series.

Sequence and Series of Functions.

Uniform Convergence.

The Taylor Series.

Improper Integrals.

Integral Representations of Functions.

Gamma and Beta Functions.

Laplace's Method and Stirling's Formula.

Fourier Series.

Elementary Differentiation and Integration Formulas.

Answers, Hints, and Solutions.

Index.

Erscheint lt. Verlag	29.11.1978
Verlagsort	New York
Sprache	englisch
Maße	172 x 235 mm
Gewicht	1209 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-471-02195-4 / 0471021954
ISBN-13	978-0-471-02195-7 / 9780471021957
Zustand	Neuware