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Author: Jerrold E. Marsden
Publisher: Macmillan
Published: 1999
Total Pages: 530
ISBN-13: 9780716728771
DOWNLOAD EBOOKBasic Complex Analysis skillfully combines a clear exposition of core theory with a rich variety of applications. Designed for undergraduates in mathematics, the physical sciences, and engineering who have completed two years of calculus and are taking complex analysis for the first time..
Author: Barry Simon
Publisher:
Published: 2015
Total Pages: 749
ISBN-13: 9781470411039
DOWNLOAD EBOOKA Comprehensive Course in Analysis by Poincar Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis
Author: Wolfgang Fischer
Publisher: Springer Science & Business Media
Published: 2011-10-21
Total Pages: 280
ISBN-13: 3834886610
DOWNLOAD EBOOKThis carefully written textbook is an introduction to the beautiful concepts and results of complex analysis. It is intended for international bachelor and master programmes in Germany and throughout Europe; in the Anglo-American system of university education the content corresponds to a beginning graduate course. The book presents the fundamental results and methods of complex analysis and applies them to a study of elementary and non-elementary functions (elliptic functions, Gamma- and Zeta function including a proof of the prime number theorem ...) and – a new feature in this context! – to exhibiting basic facts in the theory of several complex variables. Part of the book is a translation of the authors’ German text “Einführung in die komplexe Analysis”; some material was added from the by now almost “classical” text “Funktionentheorie” written by the authors, and a few paragraphs were newly written for special use in a master’s programme.
Author: Jerrold E. Marsden
Publisher: Macmillan
Published: 1999
Total Pages: 146
ISBN-13: 9780716732464
DOWNLOAD EBOOK""Basic Complex Analysis" skillfully combines a clear exposition of core theory with a rich variety of applications. Designed for undergraduates in mathematics, the physical sciences, and engineering who have completed two years of calculus and are taking complex analysis for the first time"--Amazon.com.
Author: Theodore W. Gamelin
Publisher: Springer Science & Business Media
Published: 2013-11-01
Total Pages: 508
ISBN-13: 0387216073
DOWNLOAD EBOOKAn introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.
Author: Joseph Bak
Publisher: Allied Publishers
Published: 1982
Total Pages: 414
ISBN-13: 9788170234654
DOWNLOAD EBOOKAuthor: Tristan Needham
Publisher: Oxford University Press
Published: 1997
Total Pages: 620
ISBN-13: 9780198534464
DOWNLOAD EBOOKThis radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.
Author: Joseph Bak
Publisher: Springer Science & Business Media
Published: 2010-08-02
Total Pages: 332
ISBN-13: 1441972889
DOWNLOAD EBOOKThis unusual and lively textbook offers a clear and intuitive approach to the classical and beautiful theory of complex variables. With very little dependence on advanced concepts from several-variable calculus and topology, the text focuses on the authentic complex-variable ideas and techniques. Accessible to students at their early stages of mathematical study, this full first year course in complex analysis offers new and interesting motivations for classical results and introduces related topics stressing motivation and technique. Numerous illustrations, examples, and now 300 exercises, enrich the text. Students who master this textbook will emerge with an excellent grounding in complex analysis, and a solid understanding of its wide applicability.
Author: Daniel Alpay
Publisher: Birkhäuser
Published: 2016-10-26
Total Pages: 592
ISBN-13: 3319421816
DOWNLOAD EBOOKThis second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students to various applications and aspects of the theory of analytic functions not always touched on in a first course, while also addressing topics of interest to electrical engineering students (e.g., the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). It provides examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space), and also includes a section reviewing essential aspects of topology, functional analysis and Lebesgue integration. Benefits of the 2nd edition Rational functions are now covered in a separate chapter. Further, the section on conformal mappings has been expanded.
Author: Alan F. Beardon
Publisher: Courier Dover Publications
Published: 2019-12-18
Total Pages: 259
ISBN-13: 0486837181
DOWNLOAD EBOOKText for advanced undergraduates and graduate students provides geometrical insights by covering angles, basic complex analysis, and interactions with plane topology while focusing on concepts of angle and winding numbers. 1979 edition.
