Advanced Calculus: An Introduction to Analysis

Description: Equations and figure illustrations. ''Designed to serve as an introduction to analysis. To this end the author has tried to present analytical proofs backed by geometrical intuition but with a minimum of reliance on geometrical arguments. The result is a textbook with emphasis placed on (1) clarity of exposition, (2) an extensive selection of problems, (3) development of the student's understanding and appreciation of mathematics, and (4) complete coverage of material basic to the intended purpose. The book is divided into three main sections. The first part is devoted to a rigorous re-examination of one-variable calculus. The second part treats the calculus of several variables all in vector notation, using vector methods extensively, and the last part discuses the theory of convergence as applied to series and improper integrals.'' Originally published in 1961, this is a later printing. BINDNG/CONDITION: blue cloth with black text; there are a few owner markings (these stop at page twelve), a light stain on the fore-edge of the text block; otherwise a Good book, with a Poor dust jacket. index. 8vo (about 9.25 inches tall). 521 pages.…