Analysis in Euclidean Space is popular PDF and ePub book, written by Kenneth Hoffman in 2019-07-17, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Analysis in Euclidean Space can be Read Online from any device for your convenience.
Analysis in Euclidean Space Book PDF Summary
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.
Detail Book of Analysis in Euclidean Space PDF
- Author : Kenneth Hoffman
- Release : 17 July 2019
- Publisher : Courier Dover Publications
- ISBN : 9780486833651
- Genre : Mathematics
- Total Page : 449 pages
- Language : English
- PDF File Size : 16,9 Mb
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