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Author: Dennis G. Zill Publisher: Jones & Bartlett Publishers ISBN: 1449694624 Category : Mathematics Languages : en Pages : 453
Book Description
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. --
Author: Dennis G. Zill Publisher: Jones & Bartlett Publishers ISBN: 1449694624 Category : Mathematics Languages : en Pages : 453
Book Description
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. --
Author: Dennis Zill Publisher: Jones & Bartlett Learning ISBN: 0763757721 Category : Mathematics Languages : en Pages : 471
Book Description
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.
Author: Allan R. Willms Publisher: Springer Nature ISBN: 3031791762 Category : Mathematics Languages : en Pages : 227
Book Description
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.
Author: Wolfgang Fischer Publisher: Springer Science & Business Media ISBN: 3834886610 Category : Mathematics Languages : en Pages : 272
Book Description
This carefully written textbook is an introduction to the beautiful concepts and results of complex analysis. It is intended for international bachelor and master programmes in Germany and throughout Europe; in the Anglo-American system of university education the content corresponds to a beginning graduate course. The book presents the fundamental results and methods of complex analysis and applies them to a study of elementary and non-elementary functions (elliptic functions, Gamma- and Zeta function including a proof of the prime number theorem ...) and – a new feature in this context! – to exhibiting basic facts in the theory of several complex variables. Part of the book is a translation of the authors’ German text “Einführung in die komplexe Analysis”; some material was added from the by now almost “classical” text “Funktionentheorie” written by the authors, and a few paragraphs were newly written for special use in a master’s programme.
Author: Shanahan Publisher: Jones & Bartlett Publishers ISBN: 1449657621 Category : Mathematics Languages : en Pages : 204
Book Description
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
Author: Eberhard Freitag Publisher: Springer Science & Business Media ISBN: 3642205542 Category : Mathematics Languages : en Pages : 521
Book Description
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.
Author: Amol Sasane Publisher: World Scientific ISBN: 9811272824 Category : Mathematics Languages : en Pages : 219
Book Description
The book constitutes a basic, concise, yet rigorous first course in complex analysis, for undergraduate students who have studied multivariable calculus and linear algebra. The textbook should be particularly useful for students of joint programmes with mathematics, as well as engineering students seeking rigour. The aim of the book is to cover the bare bones of the subject with minimal prerequisites. The core content of the book is the three main pillars of complex analysis: the Cauchy-Riemann equations, the Cauchy Integral Theorem, and Taylor and Laurent series. Each section contains several problems, which are not drill exercises, but are meant to reinforce the fundamental concepts. Detailed solutions to all the 243 exercises appear at the end of the book, making the book ideal for self-study. There are many figures illustrating the text.The second edition corrects errors from the first edition, and includes 89 new exercises, some of which cover auxiliary topics that were omitted in the first edition. Two new appendices have been added, one containing a detailed rigorous proof of the Cauchy Integral Theorem, and another providing background in real analysis needed to make the book self-contained.
Author: Murali Rao Publisher: World Scientific Publishing Company ISBN: 9814579610 Category : Mathematics Languages : en Pages : 424
Book Description
This volume is an enlarged edition of a classic textbook on complex analysis. In addition to the classical material of the first edition it provides a concise and accessible treatment of Loewner theory, both in the disc and in the half-plane. Some of the new material has been described in research papers only or appears here for the first time. Each chapter ends with exercises.
Author: Daniel Alpay Publisher: Birkhäuser ISBN: 3319421816 Category : Mathematics Languages : en Pages : 592
Book Description
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: Dennis G. Zill
Author: Dennis G. Zill
Author: Dennis Zill
Author: Allan R. Willms
Author: Wolfgang Fischer
Author: Shanahan
Author: Eberhard Freitag
Author: Amol Sasane
Author: Murali Rao
Author: Daniel Alpay
Author: