Overview
This classroom-tested volume offers a definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. Upper-level undergraduate students with a background in calculus will benefit from its teachings, along with beginning graduate students seeking a firm grounding in modern analysis.
A self-contained text, it presents the necessary background on the limit concept, and the first seven chapters could constitute a one-semester introduction to limits. Subsequent chapters discuss differential calculus of the real line, the Riemann-Stieltjes integral, sequences and series of functions, transcendental functions, inner product spaces and Fourier series, normed linear spaces and the Riesz representation theorem, and the Lebesgue integral. Supplementary materials include an appendix on vector spaces and more than 750 exercises of varying degrees of difficulty. Hints and solutions to selected exercises, indicated by an asterisk, appear at the back of the book.
A self-contained text, it presents the necessary background on the limit concept, and the first seven chapters could constitute a one-semester introduction to limits. Subsequent chapters discuss differential calculus of the real line, the Riemann-Stieltjes integral, sequences and series of functions, transcendental functions, inner product spaces and Fourier series, normed linear spaces and the Riesz representation theorem, and the Lebesgue integral. Supplementary materials include an appendix on vector spaces and more than 750 exercises of varying degrees of difficulty. Hints and solutions to selected exercises, indicated by an asterisk, appear at the back of the book.
While major retailers like Amazon may carry Foundations of Mathematical Analysis, we specialize in bulk book sales and offer personalized service from our friendly, book-smart team based in Portland, Oregon. We’re proud to offer a Price Match Guarantee and a streamlined ordering experience from people who truly care.
We’re trusted by over 75,000 customers, many of whom return time and again. Want proof? Just check out our 25,000+ customer reviews—real feedback from people who love how we do business.
Prefer to talk to a real person? Our Book Specialists are here Monday–Friday, 8 a.m. to 5 p.m. PST and ready to help with your bulk order of Foundations of Mathematical Analysis.