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Author : Donald W. Trim
Publisher : Brooks/Cole
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.0/5 ( download)
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:
Author : Richard A. Silverman
Publisher : Courier Corporation
ISBN 13 : 9780486647623
Total Pages : 308 pages
Book Rating : 4.6/5 (476 download)
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.
Author : Mark J. Ablowitz
Publisher : Cambridge University Press
ISBN 13 : 110896334X
Total Pages : 422 pages
Book Rating : 4.1/5 (89 download)
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.
Author : Ravi P. Agarwal
Publisher : Springer Science & Business Media
ISBN 13 : 146140195X
Total Pages : 345 pages
Book Rating : 4.4/5 (614 download)
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.
Author : Nakhlé H. Asmar
Publisher : Springer
ISBN 13 : 3319940635
Total Pages : 501 pages
Book Rating : 4.3/5 (199 download)
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 501 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.
Author : Hemant Kumar Pathak
Publisher : Springer Nature
ISBN 13 : 9811397341
Total Pages : 940 pages
Book Rating : 4.8/5 (113 download)
Download or read book Complex Analysis and Applications written by Hemant Kumar Pathak and published by Springer Nature. This book was released on 2019-08-19 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Mark J. Ablowitz
Publisher : Cambridge University Press
ISBN 13 : 9780521485234
Total Pages : 664 pages
Book Rating : 4.4/5 (852 download)
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.
Author : Dennis Zill
Publisher : Jones & Bartlett Learning
ISBN 13 : 0763757721
Total Pages : 471 pages
Book Rating : 4.7/5 (637 download)
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.
Author : Harold Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 0387730583
Total Pages : 487 pages
Book Rating : 4.3/5 (877 download)
Download or read book Complex Analysis with Applications in Science and Engineering written by Harold Cohen and published by Springer Science & Business Media. This book was released on 2010-04-23 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Edward Saff
Publisher : Pearson
ISBN 13 : 9780134689487
Total Pages : 0 pages
Book Rating : 4.6/5 (894 download)
Download or read book Fundamentals of Complex Analysis with Applications to Engineering and Science (Classic Version) written by Edward Saff and published by Pearson. This book was released on 2017-02-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. This is the best seller in this market. It provides a comprehensive introduction to complex variable theory and its applications to current engineering problems. It is designed to make the fundamentals of the subject more easily accessible to students who have little inclination to wade through the rigors of the axiomatic approach. Modeled after standard calculus books--both in level of exposition and layout--it incorporates physical applications throughout the presentation, so that the mathematical methodology appears less sterile to engineering students.
Author : Tarlok Nath Shorey
Publisher : Springer Nature
ISBN 13 : 9811590974
Total Pages : 287 pages
Book Rating : 4.8/5 (115 download)
Download or read book Complex Analysis with Applications to Number Theory written by Tarlok Nath Shorey and published by Springer Nature. This book was released on 2020-11-13 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics and undergraduate students of engineering, as well as to researchers in complex analysis and number theory. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex variables, hyperbolic geometry, two and three manifolds and number theory. In additional to solved examples and problems, the book covers most of the topics of current interest, such as Cauchy theorems, Picard’s theorems, Riemann–Zeta function, Dirichlet theorem, gamma function and harmonic functions.
Author : Richard A. Silverman
Publisher : Courier Corporation
ISBN 13 : 0486318524
Total Pages : 402 pages
Book Rating : 4.4/5 (863 download)
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.
Author : H. A. Priestley
Publisher : OUP Oxford
ISBN 13 : 0191037206
Total Pages : 344 pages
Book Rating : 4.1/5 (91 download)
Download or read book Introduction to Complex Analysis written by H. A. Priestley and published by OUP Oxford. This book was released on 2003-08-28 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex analysis is a classic and central area of mathematics, which is studied and exploited in a range of important fields, from number theory to engineering. Introduction to Complex Analysis was first published in 1985, and for this much awaited second edition the text has been considerably expanded, while retaining the style of the original. More detailed presentation is given of elementary topics, to reflect the knowledge base of current students. Exercise sets have been substantially revised and enlarged, with carefully graded exercises at the end of each chapter. This is the latest addition to the growing list of Oxford undergraduate textbooks in mathematics, which includes: Biggs: Discrete Mathematics 2nd Edition, Cameron: Introduction to Algebra, Needham: Visual Complex Analysis, Kaye and Wilson: Linear Algebra, Acheson: Elementary Fluid Dynamics, Jordan and Smith: Nonlinear Ordinary Differential Equations, Smith: Numerical Solution of Partial Differential Equations, Wilson: Graphs, Colourings and the Four-Colour Theorem, Bishop: Neural Networks for Pattern Recognition, Gelman and Nolan: Teaching Statistics.
Author : John P. D'Angelo
Publisher : American Mathematical Soc.
ISBN 13 : 0821852744
Total Pages : 177 pages
Book Rating : 4.8/5 (218 download)
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.
Author : John W. Dettman
Publisher : Courier Corporation
ISBN 13 : 0486158284
Total Pages : 514 pages
Book Rating : 4.4/5 (861 download)
Download or read book Applied Complex Variables written by John W. Dettman and published by Courier Corporation. This book was released on 2012-05-07 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Wolfgang Tutschke
Publisher : CRC Press
ISBN 13 : 1584884789
Total Pages : 480 pages
Book Rating : 4.5/5 (848 download)
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.
Author : Theodore W. Gamelin
Publisher : Springer Science & Business Media
ISBN 13 : 0387216073
Total Pages : 508 pages
Book Rating : 4.3/5 (872 download)
Download or read book Complex Analysis written by Theodore W. Gamelin and published by Springer Science & Business Media. This book was released on 2013-11-01 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.
