| Author | : Jerrold E. Marsden |
| Publisher | : Macmillan |
| Total Pages | : 530 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 9780716728771 |
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..
| Author | : Barry Simon |
| Publisher | : |
| Total Pages | : 749 |
| Release | : 2015 |
| Genre | : Mathematical analysis |
| ISBN | : 9781470411039 |
A 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 |
| Total Pages | : 280 |
| Release | : 2011-10-21 |
| Genre | : Mathematics |
| ISBN | : 3834886610 |
This 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 |
| Total Pages | : 146 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 9780716732464 |
""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 |
| Total Pages | : 508 |
| Release | : 2013-11-01 |
| Genre | : Mathematics |
| ISBN | : 0387216073 |
An 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 | : Tristan Needham |
| Publisher | : Oxford University Press |
| Total Pages | : 620 |
| Release | : 1997 |
| Genre | : Mathematics |
| ISBN | : 9780198534464 |
This 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 | : Daniel Alpay |
| Publisher | : Birkhäuser |
| Total Pages | : 592 |
| Release | : 2016-10-26 |
| Genre | : Mathematics |
| ISBN | : 3319421816 |
This 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 | : Richard A. Silverman |
| Publisher | : Courier Corporation |
| Total Pages | : 308 |
| Release | : 1984-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780486647623 |
The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition.
| Author | : Joseph Bak |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 332 |
| Release | : 2010-08-02 |
| Genre | : Mathematics |
| ISBN | : 1441972889 |
This 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.
