Linear And Complex Analysis
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Author | : Victor P. Havin |
Publisher | : Springer |
Total Pages | : 529 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 3540483683 |
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 | : |
Publisher | : |
Total Pages | : 530 |
Release | : 1994 |
Genre | : Functions of complex variables |
ISBN | : |
Author | : John P. D'Angelo |
Publisher | : CRC Press |
Total Pages | : 264 |
Release | : 2017-08-02 |
Genre | : Mathematics |
ISBN | : 1498756115 |
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 | : V. P. Havin |
Publisher | : Springer |
Total Pages | : 738 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540387587 |
Author | : Alexei Alexandrov |
Publisher | : American Mathematical Soc. |
Total Pages | : 275 |
Release | : |
Genre | : Mathematics |
ISBN | : 0821890786 |
Author | : Victor P. Havin |
Publisher | : Springer |
Total Pages | : 517 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 3540483675 |
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 | : Richard A. Silverman |
Publisher | : Courier Corporation |
Total Pages | : 402 |
Release | : 2013-04-15 |
Genre | : Mathematics |
ISBN | : 0486318524 |
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.
Author | : |
Publisher | : |
Total Pages | : 507 |
Release | : |
Genre | : |
ISBN | : 9780387578712 |
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 | : John W. Dettman |
Publisher | : Courier Corporation |
Total Pages | : 514 |
Release | : 2012-05-07 |
Genre | : Mathematics |
ISBN | : 0486158284 |
Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.