Analysis in Euclidean SpaceAnalysis in Euclidean Space
Title rated 0 out of 5 stars, based on 0 ratings(0 ratings)
eBook, 2019
Current format, eBook, 2019, , All copies in use.eBook, 2019
Current format, eBook, 2019, , All copies in use. Offered in 0 more formatsDeveloped 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.
Title availability
About
Details
Publication
- [Place of publication not identified] : Dover Publications, [2019], ©2019
Opinion
More from the community
Community lists featuring this title
There are no community lists featuring this title
Community contributions
There are no quotations from this title
There are no quotations from this title
From the community