A First Course In Complex Analysis 2 E
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A First Course in Complex Analysis with Applications
Author | : Dennis Zill,Patrick Shanahan |
Publsiher | : Jones & Bartlett Learning |
Total Pages | : 471 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 9780763757724 |
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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
Author | : Dennis G. Zill,Patrick D. Shanahan |
Publsiher | : Jones & Bartlett Publishers |
Total Pages | : 453 |
Release | : 2013-09-20 |
Genre | : Mathematics |
ISBN | : 9781449694623 |
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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 2
Author | : Eberhard Freitag |
Publsiher | : Springer Science & Business Media |
Total Pages | : 521 |
Release | : 2011-06-10 |
Genre | : Mathematics |
ISBN | : 9783642205545 |
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The book contains a complete self-contained introduction to highlights of classical complex analysis. New proofs and some new results are included. All needed notions are developed within the book: with the exception of some basic facts which can be found in the ̄rst volume. There is no comparable treatment in the literature.
Complex Analysis
Author | : Jerry R. Muir, Jr. |
Publsiher | : John Wiley & Sons |
Total Pages | : 280 |
Release | : 2015-05-26 |
Genre | : Mathematics |
ISBN | : 9781118705278 |
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A thorough introduction to the theory of complex functions emphasizing the beauty, power, and counterintuitive nature of the subject Written with a reader-friendly approach, Complex Analysis: A Modern First Course in Function Theory features a self-contained, concise development of the fundamental principles of complex analysis. After laying groundwork on complex numbers and the calculus and geometric mapping properties of functions of a complex variable, the author uses power series as a unifying theme to define and study the many rich and occasionally surprising properties of analytic functions, including the Cauchy theory and residue theorem. The book concludes with a treatment of harmonic functions and an epilogue on the Riemann mapping theorem. Thoroughly classroom tested at multiple universities, Complex Analysis: A Modern First Course in Function Theory features: Plentiful exercises, both computational and theoretical, of varying levels of difficulty, including several that could be used for student projects Numerous figures to illustrate geometric concepts and constructions used in proofs Remarks at the conclusion of each section that place the main concepts in context, compare and contrast results with the calculus of real functions, and provide historical notes Appendices on the basics of sets and functions and a handful of useful results from advanced calculus Appropriate for students majoring in pure or applied mathematics as well as physics or engineering, Complex Analysis: A Modern First Course in Function Theory is an ideal textbook for a one-semester course in complex analysis for those with a strong foundation in multivariable calculus. The logically complete book also serves as a key reference for mathematicians, physicists, and engineers and is an excellent source for anyone interested in independently learning or reviewing the beautiful subject of complex analysis.
Student Study Guide to Accomapny A First Course in Complex Analysis with Applications
Author | : Dennis G. Zill,Patrick Shanahan |
Publsiher | : Jones & Bartlett Learning |
Total Pages | : 205 |
Release | : 2009-09-29 |
Genre | : Mathematics |
ISBN | : 9780763778347 |
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The Student Study Guide consists of seven chapters which correspond to the seven chapters of A First Course in Complex Analysis with Applications, Second Edition. Each chapter includes: Review Topics, Summaries, Exercises, and Focus on Concepts Problems. Solutions to odd exercises are included.
A First Course in Complex Analysis
Author | : Allan R. Willms |
Publsiher | : Morgan & Claypool Publishers |
Total Pages | : 237 |
Release | : 2022-04-20 |
Genre | : Mathematics |
ISBN | : 9781636393155 |
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This book introduces complex analysis and is appropriate for a first course in the subject at typically the third-year University level. It introduces the exponential function very early but does so rigorously. It covers the usual topics of functions, differentiation, analyticity, contour integration, the theorems of Cauchy and their many consequences, Taylor and Laurent series, residue theory, the computation of certain improper real integrals, and a brief introduction to conformal mapping. Throughout the text an emphasis is placed on geometric properties of complex numbers and visualization of complex mappings.
Student Study Guide to Accompany A First Course in Complex Analysis with Applications
Author | : Shanahan |
Publsiher | : Jones & Bartlett Publishers |
Total Pages | : 204 |
Release | : 2009-09-29 |
Genre | : Mathematics |
ISBN | : 9781449657628 |
Download Student Study Guide to Accompany A First Course in Complex Analysis with Applications Book in PDF, Epub and Kindle
The Student Study Guide to Accompany A First Course in Complex Analysis, Second Edition is designed to help you get the most out of your Complex Analysis course. It includes chapter-by-chapter, and section-by-section, detailed summaries of key points and terms found within the main text. Review Sections form selected topics in calculus and differential equations allow you to confirm your understanding of the prerequisite material necessary to succeed in the course. Complete worked solutions, with two-color figures, are provided form every other odd exercise and include references to equations, definitions, theorems, and figures in the text. This useful learning tool engages you to assess your progress and understanding while encouraging you to find solutions on your own. Students, Use This Guide To: - Review and confirm your understanding of prerequisite material. - Revisit key points and terms discussed within each chapter. - Check answers to selected exercises - Prepare for future material
A First Course in Complex Analysis
Author | : Matthias Beck,Et Al |
Publsiher | : Orthogonal Publishing L3c |
Total Pages | : 214 |
Release | : 2018-09 |
Genre | : Mathematics |
ISBN | : 1944325085 |
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A First Course in Complex Analysis was developed from lecture notes for a one-semester undergraduate course taught by the authors. For many students, complex analysis is the first rigorous analysis (if not mathematics) class they take, and these notes reflect this. The authors try to rely on as few concepts from real analysis as possible. In particular, series and sequences are treated from scratch.