An Introduction To Analytic Functions
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An Introduction To Analytic Functions
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Author : John Sheridan Mac Nerney
language : en
Publisher: Springer Nature
Release Date : 2020-05-30
An Introduction To Analytic Functions written by John Sheridan Mac Nerney and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-30 with Mathematics categories.
When first published in 1959, this book was the basis of a two-semester course in complex analysis for upper undergraduate and graduate students. J. S. Mac Nerney was a proponent of the Socratic, or “do-it-yourself” method of learning mathematics, in which students are encouraged to engage in mathematical problem solving, including theorems at every level which are often regarded as “too difficult” for students to prove for themselves. Accordingly, Mac Nerney provides no proofs. What he does instead is to compose and arrange the investigation in his own unique style, so that a contextual proof is always available to the persistent student who enjoys a challenge. The central idea is to empower students by allowing them to discover and rely on their own mathematical abilities. This text may be used in a variety of settings, including: the usual classroom or seminar, but with the teacher acting mainly as a moderator while the students present their discoveries, a small-group setting in which the students present their discoveries to each other, and independent study. The Editors, William E. Kaufman (who was Mac Nerney’s last PhD student) and Ryan C. Schwiebert, have composed the original typed Work into LaTeX ; they have updated the notation, terminology, and some of the prose for modern usage, but the organization of content has been strictly preserved. About this Book, some new exercises, and an index have also been added.
An Introduction To Analytic Functions With Theoretical Implications
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Author : John Sheridan MacNerney
language : en
Publisher:
Release Date : 1968
An Introduction To Analytic Functions With Theoretical Implications written by John Sheridan MacNerney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Analytic functions categories.
Complex Analysis
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Author : Lars Ahlfors
language : en
Publisher:
Release Date : 1979
Complex Analysis written by Lars Ahlfors and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Education categories.
A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals.
Complex Analysis
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Author : Lars Valerian Ahlfors
language : en
Publisher:
Release Date : 1987
Complex Analysis written by Lars Valerian Ahlfors and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Analytic functions categories.
Complex Analysis
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Author : Lars V. Ahlfors
language : en
Publisher:
Release Date : 1953
Complex Analysis written by Lars V. Ahlfors and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with categories.
Analytic Function Theory Volume I
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Author : Einar Hille
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-04-11
Analytic Function Theory Volume I written by Einar Hille and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-11 with Mathematics categories.
Second Edition. This famous work is a textbook that emphasizes the conceptual and historical continuity of analytic function theory. The second volume broadens from a textbook to a textbook-treatise, covering the "canonical" topics (including elliptic functions, entire and meromorphic functions, as well as conformal mapping, etc.) and other topics nearer the expanding frontier of analytic function theory. In the latter category are the chapters on majorization and on functions holomorphic in a half-plane.
Analytic Function Theory
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Author : Einar Hille
language : en
Publisher: American Mathematical Soc.
Release Date : 1973
Analytic Function Theory written by Einar Hille and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
Emphasizes the conceptual and historical continuity of analytic function theory. This book covers canonical topics including elliptic functions, entire and meromorphic functions, as well as conformal mapping. It also features chapters on majorization and on functions holomorphic in a half-plane.
Introduction To The Theory Of Analytic Functions
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Author : James Harkness
language : en
Publisher:
Release Date : 1898
Introduction To The Theory Of Analytic Functions written by James Harkness and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1898 with Functions categories.
Analytic Function Theory Volume Ii
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Author : Einar Hille
language : en
Publisher: American Mathematical Society
Release Date : 2003-01-10
Analytic Function Theory Volume Ii written by Einar Hille and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-10 with Mathematics categories.
This famous work is a textbook that emphasizes the conceptual and historical continuity of analytic function theory. The second volume broadens from a textbook to a textbook-treatise, covering the canonical topics (including elliptic functions, entire and meromorphic functions, as well as conformal mapping, etc.) and other topics nearer the expanding frontier of analytic function theory. In the latter category are the chapters on majorization and on functions holomorphic in a half-plane.
Complex Functions An Introduction To Complex Analysis
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Author : Lexa N. Palmer
language : en
Publisher: Book Lovers HQ
Release Date : 2025-05-07
Complex Functions An Introduction To Complex Analysis written by Lexa N. Palmer and has been published by Book Lovers HQ this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-07 with Mathematics categories.
Discover the elegant and powerful world of complex analysis in this comprehensive introduction to one of mathematics' most beautiful subjects. "Complex Functions: An Introduction to Complex Analysis" bridges the gap between introductory calculus and advanced mathematical theory, revealing how the simple addition of the imaginary unit transforms mathematics into something extraordinary. Complex analysis stands as a cornerstone of modern mathematics, physics, and engineering, offering tools of remarkable power and elegance. Whether you're a mathematics student seeking deeper understanding, a physicist requiring analytical techniques, or an engineer solving practical problems, this book provides the foundation you need to master this essential field. Written with clarity and precision, this text balances theoretical rigor with intuitive explanations, making abstract concepts accessible without sacrificing mathematical depth. From the foundations of complex numbers to the frontiers of modern research, this book guides you through the fascinating landscape of complex functions with carefully crafted examples and applications. What you will find in this book: A systematic development of complex analysis from first principles Clear explanations of key concepts like holomorphic functions, contour integration, and residue theory Geometric interpretations that build intuition and understanding Powerful techniques for solving integrals and differential equations Applications to physics, engineering, and pure mathematics Historical notes highlighting the development of important ideas Carefully selected exercises ranging from computational practice to theoretical explorations Connections between complex analysis and other branches of mathematics Transform your mathematical thinking with complex analysis—where algebraic, geometric, and analytic aspects of mathematics unite in perfect harmony. Whether you're encountering these ideas for the first time or seeking a deeper understanding, this book will open your eyes to the remarkable world where mathematics achieves its most beautiful and powerful expression.