A First Course On Complex Functions
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A First Course On Complex Functions
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Author : G. Jameson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
A First Course On Complex Functions written by G. Jameson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Social Science categories.
This book contains a rigorous coverage of those topics (and only those topics) that, in the author's judgement, are suitable for inclusion in a first course on Complex Functions. Roughly speaking, these can be summarized as being the things that can be done with Cauchy's integral formula and the residue theorem. On the theoretical side, this includes the basic core of the theory of differentiable complex functions, a theory which is unsurpassed in Mathematics for its cohesion, elegance and wealth of surprises. On the practical side, it includes the computational applications of the residue theorem. Some prominence is given to the latter, because for the more sceptical student they provide the justification for inventing the complex numbers. Analytic continuation and Riemann surfaces form an essentially different chapter of Complex Analysis. A proper treatment is far too sophisticated for a first course, and they are therefore excluded. The aim has been to produce the simplest possible rigorous treatment of the topics discussed. For the programme outlined above, it is quite sufficient to prove Cauchy'S integral theorem for paths in star-shaped open sets, so this is done. No form of the Jordan curve theorem is used anywhere in the book.
A First Course On Complex Functions
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Author : G. J. O. Jameson
language : en
Publisher:
Release Date : 1979
A First Course On Complex Functions written by G. J. O. Jameson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Functions of complex variables categories.
A First Course In Complex Analysis With Applications
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Author : Dennis G. Zill
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2003
A First Course In Complex Analysis With Applications written by Dennis G. Zill and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Written for junior-level undergraduate students that are majoring in math, physics, computer science, and electrical engineering.
A First Course On Complex Functions
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Author : Graham James Oscar Jameson
language : en
Publisher:
Release Date : 1977
A First Course On Complex Functions written by Graham James Oscar Jameson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
A First Course In Complex Analysis With Applications
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Author : Dennis Zill
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2009
A First Course In Complex Analysis With Applications written by Dennis Zill and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
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.
Student Study Guide To Accompany A First Course In Complex Analysis With Applications
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Author : Shanahan
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 2009-09-29
Student Study Guide To Accompany A First Course In Complex Analysis With Applications written by Shanahan and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-29 with Mathematics categories.
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
More Explorations In Complex Functions
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Author : Richard Beals
language : en
Publisher: Springer Nature
Release Date : 2023-07-01
More Explorations In Complex Functions written by Richard Beals and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-01 with Mathematics categories.
More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. Both texts introduce a variety of topics, from core material in the mainstream of complex analysis to tools that are widely used in other areas of mathematics and applications, but there is minimal overlap between the two books. The intended readership is the same, namely graduate students and researchers in complex analysis, independent readers, seminar attendees, or instructors for a second course in complex analysis. Instructors will appreciate the many options for constructing a second course that builds on a standard first course in complex analysis. Exercises complement the results throughout. There is more material in this present text than one could expect to cover in a year’s course in complex analysis. A mapping of dependence relations among chapters enables instructors and independent readers a choice of pathway to reading the text. Chapters 2, 4, 5, 7, and 8 contain the function theory background for some stochastic equations of current interest, such as SLE. The text begins with two introductory chapters to be used as a resource. Chapters 3 and 4 are stand-alone introductions to complex dynamics and to univalent function theory, including deBrange’s theorem, respectively. Chapters 5—7 may be treated as a unit that leads from harmonic functions to covering surfaces to the uniformization theorem and Fuchsian groups. Chapter 8 is a stand-alone treatment of quasiconformal mapping that paves the way for Chapter 9, an introduction to Teichmüller theory. The final chapters, 10–14, are largely stand-alone introductions to topics of both theoretical and applied interest: the Bergman kernel, theta functions and Jacobi inversion, Padé approximants and continued fractions, the Riemann—Hilbert problem and integral equations, and Darboux’s method for computing asymptotics.
Complex Functions
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Author : Reuben Louis Goodstein
language : en
Publisher:
Release Date : 1965
Complex Functions written by Reuben Louis Goodstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Functions of complex variables categories.
Complex Function Theory
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Author :
language : en
Publisher: Academic Press
Release Date : 2014-05-14
Complex Function Theory written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Mathematics categories.
Complex Function Theory
Theory Of Complex Functions
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Author : Reinhold Remmert
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theory Of Complex Functions written by Reinhold Remmert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations - in the original language with their English translation - from their classical works. Yet the book is far from being a mere history of function theory, and even experts will find a few new or long forgotten gems here. Destined to accompany students making their way into this classical area of mathematics, the book offers quick access to the essential results for exam preparation. Teachers and interested mathematicians in finance, industry and science will profit from reading this again and again, and will refer back to it with pleasure.