Linear And Complex Analysis

Author : Victor P. Havin,Nikolai K. Nikolski
Publisher : Springer
Page : 529 pages
File Size : 47,8 Mb
Release : 2006-12-08
Category : Mathematics
ISBN : 9783540483687

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Linear and Complex Analysis Problem Book 3 by Victor P. Havin,Nikolai K. Nikolski Pdf

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 : John P. D'Angelo
Publisher : CRC Press
Page : 0 pages
File Size : 40,9 Mb
Release : 2023-01-09
Category : Mathematical analysis
ISBN : 1032477024

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Linear and Complex Analysis for Applications by John P. D'Angelo Pdf

This book develops an understanding of sophisticated tools by using them. Complex variable theory is developed. The first three chapters and selected topics make a nice course. This course should appeal to faculty who want an integrated treatment of linear algebra and complex analysis, including applications and also reviewing vector analysis. S

Author : Victor P. Havin,Nikolai K. Nikolski
Publisher : Springer
Page : 517 pages
File Size : 43,9 Mb
Release : 2006-12-08
Category : Mathematics
ISBN : 9783540483670

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Linear and Complex Analysis Problem Book 3 by Victor P. Havin,Nikolai K. Nikolski Pdf

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!

Author : V. P. Havin,S. V. Hruscev,N. K. Nikol'skii,V. I. Vasyunin
Publisher : Springer
Page : 738 pages
File Size : 54,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540387589

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Linear und Complex Analysis Problem Book by V. P. Havin,S. V. Hruscev,N. K. Nikol'skii,V. I. Vasyunin Pdf

Author : Alexei Alexandrov,Anton Baranov,Sergey Kislyakov
Publisher : American Mathematical Soc.
Page : 275 pages
File Size : 54,8 Mb
Release : 2024-07-02
Category : Mathematics
ISBN : 9780821890783

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Linear and Complex Analysis by Alexei Alexandrov,Anton Baranov,Sergey Kislyakov Pdf

Author : John P. D'Angelo
Publisher : CRC Press
Page : 331 pages
File Size : 40,5 Mb
Release : 2017-08-02
Category : Mathematics
ISBN : 9781498756167

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Linear and Complex Analysis for Applications by John P. D'Angelo Pdf

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.

Author : Victor P. Havin,Nikolai K. Nikolski
Publisher : Unknown
Page : 536 pages
File Size : 54,9 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 3662204479

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Linear and Complex Analysis Problem by Victor P. Havin,Nikolai K. Nikolski Pdf

Author : Victor P. Havin
Publisher : Unknown
Page : 128 pages
File Size : 44,7 Mb
Release : 1994
Category : Electronic
ISBN : OCLC:657965239

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Linear and Complex Analysis Problem Book by Victor P. Havin Pdf

Author : Viktor Petrovič Havin
Publisher : Unknown
Page : 128 pages
File Size : 51,6 Mb
Release : 1994
Category : Electronic
ISBN : OCLC:1081643050

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Linear and Complex Analysis Problem Book 3 by Viktor Petrovič Havin Pdf

Author : Anonim
Publisher : Unknown
Page : 507 pages
File Size : 44,8 Mb
Release : 2024-07-02
Category : Electronic
ISBN : 0387578714

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Linear and Complex Analysis Problem Book 3 by Anonim Pdf

Author : Richard A. Silverman
Publisher : Courier Corporation
Page : 308 pages
File Size : 43,5 Mb
Release : 1984-01-01
Category : Mathematics
ISBN : 0486647625

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Complex Analysis with Applications by Richard A. Silverman Pdf

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 : V. P. Havin,S. V. Hruscev,N.K. Nikol'skii
Publisher : Unknown
Page : 744 pages
File Size : 55,5 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 3662200279

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Linear und Complex Analysis Problem Book by V. P. Havin,S. V. Hruscev,N.K. Nikol'skii Pdf

Author : Theodore W. Gamelin
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 45,6 Mb
Release : 2013-11-01
Category : Mathematics
ISBN : 9780387216072

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Complex Analysis by Theodore W. Gamelin Pdf

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 : Daniel Alpay
Publisher : Birkhäuser
Page : 592 pages
File Size : 41,5 Mb
Release : 2016-10-26
Category : Mathematics
ISBN : 9783319421810

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A Complex Analysis Problem Book by Daniel Alpay Pdf

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 : Andrei Bourchtein,Ludmila Bourchtein
Publisher : Springer Nature
Page : 357 pages
File Size : 48,5 Mb
Release : 2021-02-09
Category : Mathematics
ISBN : 9789811592195

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Complex Analysis by Andrei Bourchtein,Ludmila Bourchtein Pdf

This book discusses all the major topics of complex analysis, beginning with the properties of complex numbers and ending with the proofs of the fundamental principles of conformal mappings. Topics covered in the book include the study of holomorphic and analytic functions, classification of singular points and the Laurent series expansion, theory of residues and their application to evaluation of integrals, systematic study of elementary functions, analysis of conformal mappings and their applications—making this book self-sufficient and the reader independent of any other texts on complex variables. The book is aimed at the advanced undergraduate students of mathematics and engineering, as well as those interested in studying complex analysis with a good working knowledge of advanced calculus. The mathematical level of the exposition corresponds to advanced undergraduate courses of mathematical analysis and first graduate introduction to the discipline. The book contains a large number of problems and exercises, making it suitable for both classroom use and self-study. Many standard exercises are included in each section to develop basic skills and test the understanding of concepts. Other problems are more theoretically oriented and illustrate intricate points of the theory. Many additional problems are proposed as homework tasks whose level ranges from straightforward, but not overly simple, exercises to problems of considerable difficulty but of comparable interest.