Linear And Complex Analysis For Applications

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Linear and Complex Analysis for Applications

John P. D'Angelo
Linear and Complex Analysis for Applications Book PDF

Author : John P. D'Angelo
Publisher : CRC Press
Page : 0 pages
File Size : 41,9 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

Linear and Complex Analysis for Applications

John P. D'Angelo
Linear and Complex Analysis for Applications Book PDF

Author : John P. D'Angelo
Publisher : CRC Press
Page : 331 pages
File Size : 43,5 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.

Complex Analysis with Applications

Richard A. Silverman
Complex Analysis with Applications Book PDF

Author : Richard A. Silverman
Publisher : Courier Corporation
Page : 308 pages
File Size : 52,8 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.

A First Course in Complex Analysis with Applications

Dennis Zill,Patrick Shanahan
A First Course in Complex Analysis with Applications Book PDF

Author : Dennis Zill,Patrick Shanahan
Publisher : Jones & Bartlett Learning
Page : 471 pages
File Size : 45,6 Mb
Release : 2009
Category : Mathematics
ISBN : 9780763757724

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A First Course in Complex Analysis with Applications by Dennis Zill,Patrick Shanahan Pdf

The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manor. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.

Complex Analysis with Applications

Nakhlé H. Asmar,Loukas Grafakos
Complex Analysis with Applications Book PDF

Author : Nakhlé H. Asmar,Loukas Grafakos
Publisher : Springer
Page : 494 pages
File Size : 48,6 Mb
Release : 2018-10-12
Category : Mathematics
ISBN : 9783319940632

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Complex Analysis with Applications by Nakhlé H. Asmar,Loukas Grafakos Pdf

This textbook is intended for a one semester course in complex analysis for upper level undergraduates in mathematics. Applications, primary motivations for this text, are presented hand-in-hand with theory enabling this text to serve well in courses for students in engineering or applied sciences. The overall aim in designing this text is to accommodate students of different mathematical backgrounds and to achieve a balance between presentations of rigorous mathematical proofs and applications. The text is adapted to enable maximum flexibility to instructors and to students who may also choose to progress through the material outside of coursework. Detailed examples may be covered in one course, giving the instructor the option to choose those that are best suited for discussion. Examples showcase a variety of problems with completely worked out solutions, assisting students in working through the exercises. The numerous exercises vary in difficulty from simple applications of formulas to more advanced project-type problems. Detailed hints accompany the more challenging problems. Multi-part exercises may be assigned to individual students, to groups as projects, or serve as further illustrations for the instructor. Widely used graphics clarify both concrete and abstract concepts, helping students visualize the proofs of many results. Freely accessible solutions to every-other-odd exercise are posted to the book’s Springer website. Additional solutions for instructors’ use may be obtained by contacting the authors directly.

Complex Analysis and Applications

Hemant Kumar Pathak
Complex Analysis and Applications Book PDF

Author : Hemant Kumar Pathak
Publisher : Unknown
Page : 928 pages
File Size : 48,7 Mb
Release : 2019
Category : Functions of complex variables
ISBN : 981139735X

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Complex Analysis and Applications by Hemant Kumar Pathak Pdf

This book offers an essential textbook on complex analysis. After introducing the theory of complex analysis, it places special emphasis on the importance of Poincare theorem and Hartog's theorem in the function theory of several complex variables. Further, it lays the groundwork for future study in analysis, linear algebra, numerical analysis, geometry, number theory, physics (including hydrodynamics and thermodynamics), and electrical engineering. To benefit most from the book, students should have some prior knowledge of complex numbers. However, the essential prerequisites are quite minimal, and include basic calculus with some knowledge of partial derivatives, definite integrals, and topics in advanced calculus such as Leibniz's rule for differentiating under the integral sign and to some extent analysis of infinite series. The book offers a valuable asset for undergraduate and graduate students of mathematics and engineering, as well as students with no background in topological properties.

Introductory Complex and Analysis Applications

William R. Derrick
Introductory Complex and Analysis Applications Book PDF

Author : William R. Derrick
Publisher : Academic Press
Page : 233 pages
File Size : 50,7 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483260488

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Introductory Complex and Analysis Applications by William R. Derrick Pdf

Introductory Complex and Analysis Applications provides an introduction to the functions of a complex variable, emphasizing applications. This book covers a variety of topics, including integral transforms, asymptotic expansions, harmonic functions, Fourier transformation, and infinite series. Organized into eight chapters, this book begins with an overview of the theory of functions of a complex variable. This text then examines the properties of analytical functions, which are all consequences of the differentiability of the function. Other chapters consider the converse of Taylor's Theorem, namely that convergent power series are analytical functions in their domain of convergence. This book discusses as well the Residue Theorem, which is of fundamental significance in complex analysis and is the core concept in the development of the techniques. The final chapter deals with the method of steepest descent, which is useful in determining the asymptotic behavior of integral representations of analytic functions. This book is a valuable resource for undergraduate students in engineering and mathematics.

Complex Analysis and Applications

Alan Jeffrey
Complex Analysis and Applications Book PDF

Author : Alan Jeffrey
Publisher : CRC Press
Page : 592 pages
File Size : 41,9 Mb
Release : 2005-11-10
Category : Mathematics
ISBN : 9780203026564

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Complex Analysis and Applications by Alan Jeffrey Pdf

Complex Analysis and Applications, Second Edition explains complex analysis for students of applied mathematics and engineering. Restructured and completely revised, this textbook first develops the theory of complex analysis, and then examines its geometrical interpretation and application to Dirichlet and Neumann boundary value problems.

Complex Analysis and Applications, Second Edition

Alan Jeffrey
Complex Analysis and Applications Second Edition Book PDF

Author : Alan Jeffrey
Publisher : CRC Press
Page : 594 pages
File Size : 51,8 Mb
Release : 2005-11-10
Category : Mathematics
ISBN : 9781584885535

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Complex Analysis and Applications, Second Edition by Alan Jeffrey Pdf

Complex Analysis and Applications, Second Edition explains complex analysis for students of applied mathematics and engineering. Restructured and completely revised, this textbook first develops the theory of complex analysis, and then examines its geometrical interpretation and application to Dirichlet and Neumann boundary value problems. A discussion of complex analysis now forms the first three chapters of the book, with a description of conformal mapping and its application to boundary value problems for the two-dimensional Laplace equation forming the final two chapters. This new structure enables students to study theory and applications separately, as needed. In order to maintain brevity and clarity, the text limits the application of complex analysis to two-dimensional boundary value problems related to temperature distribution, fluid flow, and electrostatics. In each case, in order to show the relevance of complex analysis, each application is preceded by mathematical background that demonstrates how a real valued potential function and its related complex potential can be derived from the mathematics that describes the physical situation.

Complex Analysis and Applications

Hemant Kumar Pathak
Complex Analysis and Applications Book PDF

Author : Hemant Kumar Pathak
Publisher : Springer Nature
Page : 928 pages
File Size : 41,7 Mb
Release : 2019-08-19
Category : Mathematics
ISBN : 9789811397349

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Complex Analysis and Applications by Hemant Kumar Pathak Pdf

This book offers an essential textbook on complex analysis. After introducing the theory of complex analysis, it places special emphasis on the importance of Poincare theorem and Hartog’s theorem in the function theory of several complex variables. Further, it lays the groundwork for future study in analysis, linear algebra, numerical analysis, geometry, number theory, physics (including hydrodynamics and thermodynamics), and electrical engineering. To benefit most from the book, students should have some prior knowledge of complex numbers. However, the essential prerequisites are quite minimal, and include basic calculus with some knowledge of partial derivatives, definite integrals, and topics in advanced calculus such as Leibniz’s rule for differentiating under the integral sign and to some extent analysis of infinite series. The book offers a valuable asset for undergraduate and graduate students of mathematics and engineering, as well as students with no background in topological properties.

Applied Complex Variables

John W. Dettman
Applied Complex Variables Book PDF

Author : John W. Dettman
Publisher : Courier Corporation
Page : 512 pages
File Size : 47,7 Mb
Release : 2012-05-07
Category : Mathematics
ISBN : 9780486158280

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Applied Complex Variables by John W. Dettman Pdf

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.

Complex Analysis

Dennis G. Zill,Patrick D. Shanahan
Complex Analysis Book PDF

Author : Dennis G. Zill,Patrick D. Shanahan
Publisher : Jones & Bartlett Publishers
Page : 453 pages
File Size : 43,6 Mb
Release : 2013-09-20
Category : Mathematics
ISBN : 9781449694623

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Complex Analysis by Dennis G. Zill,Patrick D. Shanahan Pdf

Designed for the undergraduate student with a calculus background but no prior experience with complex analysis, this text discusses the theory of the most relevant mathematical topics in a student-friendly manner. With a clear and straightforward writing style, concepts are introduced through numerous examples, illustrations, and applications. Each section of the text contains an extensive exercise set containing a range of computational, conceptual, and geometric problems. In the text and exercises, students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section devoted exclusively to the applications of complex analysis to science and engineering, providing students with the opportunity to develop a practical and clear understanding of complex analysis. The Mathematica syntax from the second edition has been updated to coincide with version 8 of the software. --

Complex Analysis with Applications in Science and Engineering

Harold Cohen
Complex Analysis with Applications in Science and Engineering Book PDF

Author : Harold Cohen
Publisher : Springer Science & Business Media
Page : 487 pages
File Size : 48,6 Mb
Release : 2010-04-23
Category : Mathematics
ISBN : 9780387730585

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Complex Analysis with Applications in Science and Engineering by Harold Cohen Pdf

The Second Edition of this acclaimed text helps you apply theory to real-world applications in mathematics, physics, and engineering. It easily guides you through complex analysis with its excellent coverage of topics such as series, residues, and the evaluation of integrals; multi-valued functions; conformal mapping; dispersion relations; and analytic continuation. Worked examples plus a large number of assigned problems help you understand how to apply complex concepts and build your own skills by putting them into practice. This edition features many new problems, revised sections, and an entirely new chapter on analytic continuation.

Linear and Complex Analysis Problem Book 3

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

Author : Victor P. Havin,Nikolai K. Nikolski
Publisher : Springer
Page : 517 pages
File Size : 52,5 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!

Finite or Infinite Dimensional Complex Analysis and Applications

Le Hung Son,Wolfgang Tutschke,Chung-Chun Yang
Finite or Infinite Dimensional Complex Analysis and Applications Book PDF

Author : Le Hung Son,Wolfgang Tutschke,Chung-Chun Yang
Publisher : Springer Science & Business Media
Page : 379 pages
File Size : 51,7 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461302216

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Finite or Infinite Dimensional Complex Analysis and Applications by Le Hung Son,Wolfgang Tutschke,Chung-Chun Yang Pdf

There is almost no field in Mathematics which does not use Mathe matical Analysis. Computer methods in Applied Mathematics, too, are often based on statements and procedures of Mathematical Analysis. An important part of Mathematical Analysis is Complex Analysis because it has many applications in various branches of Mathematics. Since the field of Complex Analysis and its applications is a focal point in the Vietnamese research programme, the Hanoi University of Technology organized an International Conference on Finite or Infinite Dimensional Complex Analysis and Applications which took place in Hanoi from August 8 - 12, 2001. This conference th was the 9 one in a series of conferences which take place alternately in China, Japan, Korea and Vietnam each year. The first one took place th at Pusan University in Korea in 1993. The preceding 8 conference was th held in Shandong in China in August 2000. The 9 conference of the was the first one which took place above mentioned series of conferences in Vietnam. Present trends in Complex Analysis reflected in the present volume are mainly concentrated in the following four research directions: 1 Value distribution theory (including meromorphic funtions, mero morphic mappings, as well as p-adic functions over fields of finite or zero characteristic) and its applications, 2 Holomorphic functions in several (finitely or infinitely many) com plex variables, 3 Clifford Analysis, i.e., complex methods in higher-dimensional real Euclidian spaces, 4 Generalized analytic functions.