Complex Variables And Analytic Functions An Illustrated Introduction PDF Download
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Author | : Bengt Fornberg |
Publisher | : SIAM |
Total Pages | : 371 |
Release | : 2019-12-23 |
Genre | : Mathematics |
ISBN | : 1611975980 |
Download Complex Variables and Analytic Functions: An Illustrated Introduction Book in PDF, ePub and Kindle
At almost all academic institutions worldwide, complex variables and analytic functions are utilized in courses on applied mathematics, physics, engineering, and other related subjects. For most students, formulas alone do not provide a sufficient introduction to this widely taught material, yet illustrations of functions are sparse in current books on the topic. This is the first primary introductory textbook on complex variables and analytic functions to make extensive use of functional illustrations. Aiming to reach undergraduate students entering the world of complex variables and analytic functions, this book utilizes graphics to visually build on familiar cases and illustrate how these same functions extend beyond the real axis. It covers several important topics that are omitted in nearly all recent texts, including techniques for analytic continuation and discussions of elliptic functions and of Wiener–Hopf methods. It also presents current advances in research, highlighting the subject’s active and fascinating frontier. The primary audience for this textbook is undergraduate students taking an introductory course on complex variables and analytic functions. It is also geared toward graduate students taking a second semester course on these topics, engineers and physicists who use complex variables in their work, and students and researchers at any level who want a reference book on the subject.
Author | : Henri Cartan |
Publisher | : Courier Corporation |
Total Pages | : 242 |
Release | : 2013-04-22 |
Genre | : Mathematics |
ISBN | : 0486318672 |
Download Elementary Theory of Analytic Functions of One or Several Complex Variables Book in PDF, ePub and Kindle
Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Author | : Lars Valerian Ahlfors |
Publisher | : |
Total Pages | : 247 |
Release | : 1953 |
Genre | : |
ISBN | : |
Download Complex Analysis Book in PDF, ePub and Kindle
Author | : William R. Derrick |
Publisher | : Academic Press |
Total Pages | : 233 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483260488 |
Download Introductory Complex and Analysis Applications Book in PDF, ePub and Kindle
Introductory Complex and Analysis Applications provides an introduction to the functions of a complex variable, emphasizing applications. This book covers a variety of topics, including integral transforms, asymptotic expansions, harmonic functions, Fourier transformation, and infinite series. Organized into eight chapters, this book begins with an overview of the theory of functions of a complex variable. This text then examines the properties of analytical functions, which are all consequences of the differentiability of the function. Other chapters consider the converse of Taylor's Theorem, namely that convergent power series are analytical functions in their domain of convergence. This book discusses as well the Residue Theorem, which is of fundamental significance in complex analysis and is the core concept in the development of the techniques. The final chapter deals with the method of steepest descent, which is useful in determining the asymptotic behavior of integral representations of analytic functions. This book is a valuable resource for undergraduate students in engineering and mathematics.
Author | : Robert C. Gunning |
Publisher | : American Mathematical Society |
Total Pages | : 334 |
Release | : 2022-08-25 |
Genre | : Mathematics |
ISBN | : 1470470667 |
Download Analytic Functions of Several Complex Variables Book in PDF, ePub and Kindle
The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. After initial successes by Poincaré and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable. Beginning in the 1930s, initially through the work of Oka, then H. Cartan, and continuing with the work of Grauert, Remmert, and others, new tools were introduced into the theory of several complex variables that resolved many of the open problems and fundamentally changed the landscape of the subject. These tools included a central role for sheaf theory and increased uses of topology and algebra. The book by Gunning and Rossi was the first of the modern era of the theory of several complex variables, which is distinguished by the use of these methods. The intention of Gunning and Rossi's book is to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces. Fundamental concepts and techniques are discussed as early as possible. The first chapter covers material suitable for a one-semester graduate course, presenting many of the central problems and techniques, often in special cases. The later chapters give more detailed expositions of sheaf theory for analytic functions and the theory of complex analytic spaces. Since its original publication, this book has become a classic resource for the modern approach to functions of several complex variables and the theory of analytic spaces. Further information about this book, including updates, can be found at the following URL: www.ams.org/publications/authors/books/postpub/chel-368.
Author | : Lars V. Ahlfors |
Publisher | : |
Total Pages | : 254 |
Release | : 1953 |
Genre | : |
ISBN | : |
Download Complex Analysis Book in PDF, ePub and Kindle
Author | : Lars Ahlfors |
Publisher | : |
Total Pages | : 352 |
Release | : 1979 |
Genre | : Education |
ISBN | : |
Download Complex Analysis Book in PDF, ePub and Kindle
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.
Author | : Boris A. Fuks |
Publisher | : |
Total Pages | : 412 |
Release | : 1965 |
Genre | : Functions of complex variables |
ISBN | : |
Download Introduction to the Theory of Analytic Functions of Several Complex Variables Book in PDF, ePub and Kindle
Author | : L. Hormander |
Publisher | : Elsevier |
Total Pages | : 227 |
Release | : 1973-02-12 |
Genre | : Mathematics |
ISBN | : 0444105239 |
Download An Introduction to Complex Analysis in Several Variables Book in PDF, ePub and Kindle
An Introduction to Complex Analysis in Several Variables
Author | : Ahlfors Lars V |
Publisher | : |
Total Pages | : 331 |
Release | : 1981 |
Genre | : |
ISBN | : |
Download Complex Analysis: an Introduction to Theory of Analytic Functions of One Complex Variable Book in PDF, ePub and Kindle