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Introduction To Complex Analysis And Its Applications
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Book Synopsis Introduction to Complex Analysis and Its Applications by : Donald W. Trim
Download or read book Introduction to Complex Analysis and Its Applications written by Donald W. Trim and published by Brooks/Cole. This book was released on 1996 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Complex Analysis and Its Applications by : Donald W. Trim
Download or read book Introduction to Complex Analysis and Its Applications written by Donald W. Trim and published by . This book was released on 2001 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complex Analysis with Applications by : Nakhlé H. Asmar
Download or read book Complex Analysis with Applications written by Nakhlé H. Asmar and published by Springer. This book was released on 2018-10-12 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 Introduction to Complex Analysis and Its Applications Instructor Copy by : Donald Trim
Download or read book Introduction to Complex Analysis and Its Applications Instructor Copy written by Donald Trim and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Complex Variables and Applications by : Mark J. Ablowitz
Download or read book Introduction to Complex Variables and Applications written by Mark J. Ablowitz and published by Cambridge University Press. This book was released on 2021-03-25 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of complex variables is beautiful from a purely mathematical point of view, and very useful for solving a wide array of problems arising in applications. This introduction to complex variables, suitable as a text for a one-semester course, has been written for undergraduate students in applied mathematics, science, and engineering. Based on the authors' extensive teaching experience, it covers topics of keen interest to these students, including ordinary differential equations, as well as Fourier and Laplace transform methods for solving partial differential equations arising in physical applications. Many worked examples, applications, and exercises are included. With this foundation, students can progress beyond the standard course and explore a range of additional topics, including generalized Cauchy theorem, Painlevé equations, computational methods, and conformal mapping with circular arcs. Advanced topics are labeled with an asterisk and can be included in the syllabus or form the basis for challenging student projects.
Book Synopsis An Introduction to Complex Analysis and the Laplace Transform by : Vladimir Eiderman
Download or read book An Introduction to Complex Analysis and the Laplace Transform written by Vladimir Eiderman and published by CRC Press. This book was released on 2021-12-20 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this comparatively short textbook is a sufficiently full exposition of the fundamentals of the theory of functions of a complex variable to prepare the student for various applications. Several important applications in physics and engineering are considered in the book. This thorough presentation includes all theorems (with a few exceptions) presented with proofs. No previous exposure to complex numbers is assumed. The textbook can be used in one-semester or two-semester courses. In one respect this book is larger than usual, namely in the number of detailed solutions of typical problems. This, together with various problems, makes the book useful both for self- study and for the instructor as well. A specific point of the book is the inclusion of the Laplace transform. These two topics are closely related. Concepts in complex analysis are needed to formulate and prove basic theorems in Laplace transforms, such as the inverse Laplace transform formula. Methods of complex analysis provide solutions for problems involving Laplace transforms. Complex numbers lend clarity and completion to some areas of classical analysis. These numbers found important applications not only in the mathematical theory, but in the mathematical descriptions of processes in physics and engineering.
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 Introduction to Complex Analysis and Its Applications BWLLF by : Donald Trim
Download or read book Introduction to Complex Analysis and Its Applications BWLLF written by Donald Trim and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Complex Analysis by : Wolfgang Tutschke
Download or read book An Introduction to Complex Analysis written by Wolfgang Tutschke and published by CRC Press. This book was released on 2004-06-25 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like real analysis, complex analysis has generated methods indispensable to mathematics and its applications. Exploring the interactions between these two branches, this book uses the results of real analysis to lay the foundations of complex analysis and presents a unified structure of mathematical analysis as a whole. To set the groundwork and mitigate the difficulties newcomers often experience, An Introduction to Complex Analysis begins with a complete review of concepts and methods from real analysis, such as metric spaces and the Green-Gauss Integral Formula. The approach leads to brief, clear proofs of basic statements - a distinct advantage for those mainly interested in applications. Alternate approaches, such as Fichera's proof of the Goursat Theorem and Estermann's proof of the Cauchy's Integral Theorem, are also presented for comparison. Discussions include holomorphic functions, the Weierstrass Convergence Theorem, analytic continuation, isolated singularities, homotopy, Residue theory, conformal mappings, special functions and boundary value problems. More than 200 examples and 150 exercises illustrate the subject matter and make this book an ideal text for university courses on complex analysis, while the comprehensive compilation of theories and succinct proofs make this an excellent volume for reference.
Book Synopsis Complex Variables by : Mark J. Ablowitz
Download or read book Complex Variables written by Mark J. Ablowitz and published by Cambridge University Press. This book was released on 1997-02-13 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to being mathematically elegant, complex variables provide a powerful tool for solving problems that are either very difficult or virtually impossible to solve in any other way. Part I of this text provides an introduction to the subject, including analytic functions, integration, series, and residue calculus and also includes transform methods, ODEs in the complex plane, numerical methods and more. Part II contains conformal mappings, asymptotic expansions, and the study of Riemann-Hilbert problems. The authors also provide an extensive array of applications, illustrative examples and homework exercises. This book is ideal for use in introductory undergraduate and graduate level courses in complex variables.
Book Synopsis An Introduction to Complex Analysis by : Ravi P. Agarwal
Download or read book An Introduction to Complex Analysis written by Ravi P. Agarwal and published by Springer Science & Business Media. This book was released on 2011-07-01 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner. Key features of this textbook: effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures, uses detailed examples to drive the presentation, includes numerous exercise sets that encourage pursuing extensions of the material, each with an “Answers or Hints” section, covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics, provides a concise history of complex numbers. An Introduction to Complex Analysis will be valuable to students in mathematics, engineering and other applied sciences. Prerequisites include a course in calculus.
Book Synopsis An Introduction to Complex Analysis and Geometry by : John P. D'Angelo
Download or read book An Introduction to Complex Analysis and Geometry written by John P. D'Angelo and published by American Mathematical Soc.. This book was released on 2010 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics. The first four chapters provide an introduction to complex analysis with many elementary and unusual applications. Chapters 5 to 7 develop the Cauchy theory and include some striking applications to calculus. Chapter 8 glimpses several appealing topics, simultaneously unifying the book and opening the door to further study.
Book Synopsis Introductory Complex and Analysis Applications by : William R. Derrick
Download or read book Introductory Complex and Analysis Applications written by William R. Derrick and published by Academic Press. This book was released on 2014-05-10 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Complex Analysis and Applications by : Donald Trim
Download or read book Introduction to Complex Analysis and Applications written by Donald Trim and published by . This book was released on 2017-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: BW PBK
Book Synopsis A First Course in Complex Analysis with Applications by : Dennis Zill
Download or read book A First Course in Complex Analysis with Applications written by Dennis Zill and published by Jones & Bartlett Learning. This book was released on 2009 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Complex Analysis and Applications by : William R. Derrick
Download or read book Complex Analysis and Applications written by William R. Derrick and published by Thomson Brooks/Cole. This book was released on 1984 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: