Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory.
Starting with an overview of the real number system, the text presents results for subsets and functions related to Euclidean space of n dimensions. It offers a rigorous review of the fundamentals of calculus, emphasizing power series expansions and introducing the theory of complex-analytic functions. Subsequent chapters cover sequences of functions, normed linear spaces, and the Lebesgue interval. They discuss most of the basic properties of integral and measure, including a brief look at orthogonal expansions. A chapter on differentiable mappings addresses implicit and inverse function theorems and the change of variable theorem. Exercises appear throughout the book, and extensive supplementary material includes a Bibliography, List of Symbols, Index, and an Appendix with background in elementary set theory.
By:
Kenneth Hoffman Imprint: Dover Country of Publication: United States Dimensions:
Height: 228mm,
Width: 153mm,
Spine: 23mm
Weight: 615g ISBN:9780486833651 ISBN 10: 0486833658 Pages: 448 Publication Date:01 September 2019 Audience:
College/higher education
,
Professional and scholarly
,
Primary
,
Undergraduate
Format:Paperback Publisher's Status: Unspecified
