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Linear And Complex Analysis
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Book Synopsis Linear and Complex Analysis for Applications by : John P. D'Angelo
Download or read book Linear and Complex Analysis for Applications written by John P. D'Angelo and published by CRC Press. This book was released on 2017-08-02 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear and Complex Analysis for Applications aims to unify various parts of mathematical analysis in an engaging manner and to provide a diverse and unusual collection of applications, both to other fields of mathematics and to physics and engineering. The book evolved from several of the author’s teaching experiences, his research in complex analysis in several variables, and many conversations with friends and colleagues. It has three primary goals: to develop enough linear analysis and complex variable theory to prepare students in engineering or applied mathematics for advanced work, to unify many distinct and seemingly isolated topics, to show mathematics as both interesting and useful, especially via the juxtaposition of examples and theorems. The book realizes these goals by beginning with reviews of Linear Algebra, Complex Numbers, and topics from Calculus III. As the topics are being reviewed, new material is inserted to help the student develop skill in both computation and theory. The material on linear algebra includes infinite-dimensional examples arising from elementary calculus and differential equations. Line and surface integrals are computed both in the language of classical vector analysis and by using differential forms. Connections among the topics and applications appear throughout the book. The text weaves abstract mathematics, routine computational problems, and applications into a coherent whole, whose unifying theme is linear systems. It includes many unusual examples and contains more than 450 exercises.
Book Synopsis Linear and Complex Analysis Problem Book 3 by : Victor P. Havin
Download or read book Linear and Complex Analysis Problem Book 3 written by Victor P. Havin and published by Springer. This book was released on 2006-12-08 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!
Book Synopsis Elementary Real and Complex Analysis by : Georgi E. Shilov
Download or read book Elementary Real and Complex Analysis written by Georgi E. Shilov and published by Courier Corporation. This book was released on 1996-01-01 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition.
Book Synopsis Complex Analysis by : Theodore W. Gamelin
Download or read book Complex Analysis written by Theodore W. Gamelin and published by Springer Science & Business Media. This book was released on 2013-11-01 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Linear and Complex Analysis for Applications by : John P. D'Angelo
Download or read book Linear and Complex Analysis for Applications written by John P. D'Angelo and published by CRC Press. This book was released on 2017-08-02 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear and Complex Analysis for Applications aims to unify various parts of mathematical analysis in an engaging manner and to provide a diverse and unusual collection of applications, both to other fields of mathematics and to physics and engineering. The book evolved from several of the author’s teaching experiences, his research in complex analysis in several variables, and many conversations with friends and colleagues. It has three primary goals: to develop enough linear analysis and complex variable theory to prepare students in engineering or applied mathematics for advanced work, to unify many distinct and seemingly isolated topics, to show mathematics as both interesting and useful, especially via the juxtaposition of examples and theorems. The book realizes these goals by beginning with reviews of Linear Algebra, Complex Numbers, and topics from Calculus III. As the topics are being reviewed, new material is inserted to help the student develop skill in both computation and theory. The material on linear algebra includes infinite-dimensional examples arising from elementary calculus and differential equations. Line and surface integrals are computed both in the language of classical vector analysis and by using differential forms. Connections among the topics and applications appear throughout the book. The text weaves abstract mathematics, routine computational problems, and applications into a coherent whole, whose unifying theme is linear systems. It includes many unusual examples and contains more than 450 exercises.
Book Synopsis Introductory Complex Analysis by : Richard A. Silverman
Download or read book Introductory Complex Analysis written by Richard A. Silverman and published by Courier Corporation. This book was released on 2013-04-15 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Linear and Complex Analysis Problem Book 3 by :
Download or read book Linear and Complex Analysis Problem Book 3 written by and published by . This book was released on with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complex Analysis with Applications by : Richard A. Silverman
Download or read book Complex Analysis with Applications written by Richard A. Silverman and published by Courier Corporation. This book was released on 1984-01-01 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Linear and Complex Analysis by : Alexei Alexandrov
Download or read book Linear and Complex Analysis written by Alexei Alexandrov and published by American Mathematical Soc.. This book was released on with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear and Complex Analysis Problem Book 3 by : Victor P. Havin
Download or read book Linear and Complex Analysis Problem Book 3 written by Victor P. Havin and published by Springer. This book was released on 2006-12-08 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 methodological 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!
Book Synopsis Linear and Complex Analysis Problem Book by : Victor P. Havin
Download or read book Linear and Complex Analysis Problem Book written by Victor P. Havin and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear und Complex Analysis Problem Book by : V. P. Havin
Download or read book Linear und Complex Analysis Problem Book written by V. P. Havin and published by Springer. This book was released on 2006-11-14 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Complex Analysis Problem Book by : Daniel Alpay
Download or read book A Complex Analysis Problem Book written by Daniel Alpay and published by Birkhäuser. This book was released on 2016-10-26 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Complex Analysis written by Serge Lang and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. Somewhat more material has been included than can be covered at leisure in one term, to give opportunities for the instructor to exercise his taste, and lead the course in whatever direction strikes his fancy at the time. A large number of routine exercises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recom mend to anyone to look through them. More recent texts have empha sized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex anal ysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues. The systematic elementary development of formal and convergent power series was standard fare in the German texts, but only Cartan, in the more recent books, includes this material, which I think is quite essential, e. g. , for differential equations. I have written a short text, exhibiting these features, making it applicable to a wide variety of tastes. The book essentially decomposes into two parts.
Book Synopsis Linear and Complex Analysis Problem by : Victor P. Havin
Download or read book Linear and Complex Analysis Problem written by Victor P. Havin and published by . This book was released on 2014-09-01 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite-dimensional Linear Analysis by : I. M. Glazman
Download or read book Finite-dimensional Linear Analysis written by I. M. Glazman and published by Courier Corporation. This book was released on 2006-01-01 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sequence of 2,400 propositions and problems features only hints. Suitable for advanced undergraduates and graduate students, this unique approach encourages students to work out their own proofs. 1974 edition.
Book Synopsis Linear and Complex Analysis Problem Book 3 by : Viktor Petrovič Havin
Download or read book Linear and Complex Analysis Problem Book 3 written by Viktor Petrovič Havin and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
