000			02504nam a22002777a 4500
003			OSt
005			20250207171741.0
008			250207b |||||||| |||| 00| 0 hin d
020			_a9781138055131
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a517 _bPET-B
100			_aPeterson, James K.
245			_aBasic analysis V : _bfunctional analysis and topology
260			_aBoca Raton : _bCRC Press/Taylor & Francis Group, _c2022.
300			_axi, 574 pages : _b40 B/W Illustrations
504			_aIncludes bibliographical references and index.
520			_aBasic Analysis V: Functional Analysis and Topology introduces graduate students in science to concepts from topology and functional analysis, both linear and nonlinear. It is the fifth book in a series designed to train interested readers how to think properly using mathematical abstractions, and how to use the tools of mathematical analysis in applications. It is important to realize that the most difficult part of applying mathematical reasoning to a new problem domain is choosing the underlying mathematical framework to use on the problem. Once that choice is made, we have many tools we can use to solve the problem. However, a different choice would open up avenues of analysis from a different, perhaps more productive, perspective. In this volume, the nature of these critical choices is discussed using applications involving the immune system and cognition. Features : Develops a proof of the Jordan Canonical form to show some basic ideas in algebraic topology Provides a thorough treatment of topological spaces, finishing with the Krein–Milman theorem. Discusses topological degree theory (Brouwer, Leray–Schauder, and Coincidence). Carefully develops manifolds and functions on manifolds ending with Riemannian metrics. Suitable for advanced students in mathematics and associated disciplines. Can be used as a traditional textbook as well as for self-study.
650			_aAnalytic functions _vTextbooks.
650			_aFunctions of real variables _vTextbooks.
650			_aMathematical analysis _vTextbooks.
650			_aFunctional analysis
650			_aTopology
856			_3Table of contents _uhttps://www.routledge.com/Basic-Analysis-V-Functional-Analysis-and-Topology/Peterson/p/book/9781138055131#googlePreviewContainer
856			_3Reviews _uhttps://www.goodreads.com/book/show/56215563-basic-analysis-v?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cBK
999			_c35598 _d35598