Mathematical Analysis An Introduction
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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…
Copyright year: 1996
Publication date: 1/25/2001
Size: 6.50" wide x 9.75" long x 1.00" tall
|Sequences and Series|
|Continuous Functions on Intervals|
|The Riemann Integral|
|Integration on Manifolds|