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Mathematical Analysis An Introduction

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ISBN-10: 0387946144

ISBN-13: 9780387946146

Edition: 1996

Authors: Andrew Browder, Sheldon J. Axler, F. W. Gehring, P. R. Halmos

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This is a textbook containing more than enough material for a year-long course in analysis at the advanced undergraduate or beginning graduate level.The book begins with a brief discussion of sets and mappings, describes the real number field, and proceeds to a treatment of real-valued functions of a real variable. Separate chapters are devoted to the ideas of convergent sequences and series, continuous functions, differentiation, and the Riemann integral. The middle chapters cover general topology and a miscellany of applications: the Weierstrass and Stone-Weierstrass approximation theorems, the existence of geodesics in compact metric spaces, elements of Fourier analysis, and the Weyl…    
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Book details

Copyright year: 1996
Publisher: Springer
Publication date: 1/25/2001
Binding: Hardcover
Pages: 335
Size: 6.50" wide x 9.75" long x 1.00" tall
Weight: 1.430
Language: English

Real Functions
Sequences and Series
Continuous Functions on Intervals
The Riemann Integral
Function Spaces
Differentiable Maps
Multilinear Algebra
Differential Forms
Integration on Manifolds