A Complex Analysis Problem Book PDF Download
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| Author | : Daniel Alpay |
| Publisher | : Birkhäuser |
| Total Pages | : 592 |
| Release | : 2016-10-26 |
| Genre | : Mathematics |
| ISBN | : 3319421816 |
Download A Complex Analysis Problem Book Book in PDF, ePub and Kindle
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 | : Lev Izrailevich Volkovyski? |
| Publisher | : Courier Corporation |
| Total Pages | : 450 |
| Release | : 1991-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486669130 |
Download A Collection of Problems on Complex Analysis Book in PDF, ePub and Kindle
Over 1500 problems on theory of functions of the complex variable; coverage of nearly every branch of classical function theory. Topics include conformal mappings, integrals and power series, Laurent series, parametric integrals, integrals of the Cauchy type, analytic continuation, Riemann surfaces, much more. Answers and solutions at end of text. Bibliographical references. 1965 edition.
| Author | : Daniel Alpay |
| Publisher | : Birkhäuser |
| Total Pages | : 523 |
| Release | : 2015-11-13 |
| Genre | : Mathematics |
| ISBN | : 3319160591 |
Download An Advanced Complex Analysis Problem Book Book in PDF, ePub and Kindle
This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied.
| Author | : Bernard R. Gelbaum |
| Publisher | : John Wiley & Sons |
| Total Pages | : 506 |
| Release | : 2011-02-25 |
| Genre | : Mathematics |
| ISBN | : 111803080X |
Download Modern Real and Complex Analysis Book in PDF, ePub and Kindle
Modern Real and Complex Analysis Thorough, well-written, and encyclopedic in its coverage, this textoffers a lucid presentation of all the topics essential to graduatestudy in analysis. While maintaining the strictest standards ofrigor, Professor Gelbaum's approach is designed to appeal tointuition whenever possible. Modern Real and Complex Analysisprovides up-to-date treatment of such subjects as the Daniellintegration, differentiation, functional analysis and Banachalgebras, conformal mapping and Bergman's kernels, defectivefunctions, Riemann surfaces and uniformization, and the role ofconvexity in analysis. The text supplies an abundance of exercisesand illustrative examples to reinforce learning, and extensivenotes and remarks to help clarify important points.
| Author | : Victor P. Havin |
| Publisher | : Springer |
| Total Pages | : 529 |
| Release | : 2006-12-08 |
| Genre | : Mathematics |
| ISBN | : 3540483683 |
Download Linear and Complex Analysis Problem Book 3 Book in PDF, ePub and Kindle
The 2-volume-book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research. This new edition, created in a joint effort by a large team of analysts, is, like its predecessor, a collection of unsolved problems of modern analysis designed as informally written mini-articles, each containing not only a statement of a problem but also historical and metho- dological comments, motivation, conjectures and discussion of possible connections, of plausible approaches as well as a list of references. There are now 342 of these mini- articles, almost twice as many as in the previous edition, despite the fact that a good deal of them have been solved!
| Author | : Friedrich Haslinger |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 348 |
| Release | : 2017-11-20 |
| Genre | : Mathematics |
| ISBN | : 3110417243 |
Download Complex Analysis Book in PDF, ePub and Kindle
In this textbook, a concise approach to complex analysis of one and several variables is presented. After an introduction of Cauchy‘s integral theorem general versions of Runge‘s approximation theorem and Mittag-Leffler‘s theorem are discussed. The fi rst part ends with an analytic characterization of simply connected domains. The second part is concerned with functional analytic methods: Fréchet and Hilbert spaces of holomorphic functions, the Bergman kernel, and unbounded operators on Hilbert spaces to tackle the theory of several variables, in particular the inhomogeneous Cauchy-Riemann equations and the d-bar Neumann operator. Contents Complex numbers and functions Cauchy’s Theorem and Cauchy’s formula Analytic continuation Construction and approximation of holomorphic functions Harmonic functions Several complex variables Bergman spaces The canonical solution operator to Nuclear Fréchet spaces of holomorphic functions The -complex The twisted -complex and Schrödinger operators
| Author | : Bernard R. Gelbaum |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 490 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461209250 |
Download Problems in Real and Complex Analysis Book in PDF, ePub and Kindle
This text covers many principal topics in the theory of functions of a complex variable. These include, in real analysis, set algebra, measure and topology, real- and complex-valued functions, and topological vector spaces. In complex analysis, they include polynomials and power series, functions holomorphic in a region, entire functions, analytic continuation, singularities, harmonic functions, families of functions, and convexity theorems.
| Author | : Theodore W. Gamelin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 508 |
| Release | : 2013-11-01 |
| Genre | : Mathematics |
| ISBN | : 0387216073 |
Download Complex Analysis Book in PDF, ePub and Kindle
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 |
Download Visual Complex Analysis Book in PDF, ePub and Kindle
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 | : Richard A. Silverman |
| Publisher | : Courier Corporation |
| Total Pages | : 402 |
| Release | : 2013-04-15 |
| Genre | : Mathematics |
| ISBN | : 0486318524 |
Download Introductory Complex Analysis Book in PDF, ePub and Kindle
Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.
