Mathematical Analysis: Volume I (Paperback) (ISBN-13: 9798731642132)

This award-winning text carefully leads the student through the basic topics of Real Analysis. Topics include metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Well over 500 exercises (many with extensive hints) assist students through the material.

For students who need a review of basic mathematical concepts before beginning "epsilon-delta"-style proofs, the text begins with material on set theory (sets, quantifiers, relations and mappings, countable sets), the real numbers (axioms, natural numbers, induction, consequences of the completeness axiom), and Euclidean and vector spaces; this material is condensed from the author's Basic Concepts of Mathematics, the complete version of which can be used as supplementary background material for the present text.

This print edition of textbook gives the student an opportunity to own a physical copy and to help enhance their educational experience of the CC BY 3.0 text.

Author: Elias Zakon
ISBN-10: 8731642136
ISBN-13: 9798731642132
Publisher: Independently Published
Language: English
Published: 05/20/2004
Pages: 366
Format: Paperback
Weight: 1.87lbs
Size: 11.00h x 8.50w x 0.76d