02734nam a22004698i 4500 000389054 UkCbUP 20220107135832.0 20180924171507.0 m|||||o||d|||||||| cr|||||||||||| 170602s2018||||enk o ||1 0|eng|d NEZPRACOVANÝ IMPORT 9781108505468 (ebook) 9781108436793 (paperback) UkCbUP eng rda UkCbUP QA331 .S85 2018 515/.9 23 Stewart, Ian, 1945- author. Complex analysis : the hitch hiker's guide to the plane / Ian Stewart (University of Warwick), David Tall (Mathematics Institute). Second edition. Cambridge : Cambridge University Press, 2018. 1 online resource (402 pages) : digital, PDF file(s). text txt rdacontent computer c rdamedia online resource cr rdacarrier Title from publisher's bibliographic system (viewed on 24 Sep 2018). This new edition of a classic textbook develops complex analysis from the established theory of real analysis by emphasising the differences that arise as a result of the richer geometry of the complex plane. Key features of the authors' approach are to use simple topological ideas to translate visual intuition to rigorous proof, and, in this edition, to address the conceptual conflicts between pure and applied approaches head-on. Beyond the material of the clarified and corrected original edition, there are three new chapters: Chapter 15, on infinitesimals in real and complex analysis; Chapter 16, on homology versions of Cauchy's theorem and Cauchy's residue theorem, linking back to geometric intuition; and Chapter 17, outlines some more advanced directions in which complex analysis has developed, and continues to evolve into the future. With numerous worked examples and exercises, clear and direct proofs, and a view to the future of the subject, this is an invaluable companion for any modern complex analysis course. elektronické knihy fd186907 czenas electronic books eczenas Functions of complex variables. Numbers, Complex. Geometry, Analytic Plane. Tall, David Orme, author. Print version: 9781108436793 https://knihovna.vse.cz/zdroje/cambridge-core-books-and-textbooks/?info Informace o práci s e-knihami https://zdroje.vse.cz/login?url=https://doi.org/10.1017/9781108505468 Plný text CAMBRIDGE-EBA EB NEPOSILAT EB