An Introduction To Classical Complex Analysis PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download An Introduction To Classical Complex Analysis PDF full book. Access full book title An Introduction To Classical Complex Analysis.
Author | : R.B. Burckel |
Publisher | : Birkhäuser |
Total Pages | : 572 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034893744 |
Download An Introduction to Classical Complex Analysis Book in PDF, ePub and Kindle
This book is an attempt to cover some of the salient features of classical, one variable complex function theory. The approach is analytic, as opposed to geometric, but the methods of all three of the principal schools (those of Cauchy, Riemann and Weierstrass) are developed and exploited. The book goes deeply into several topics (e.g. convergence theory and plane topology), more than is customary in introductory texts, and extensive chapter notes give the sources of the results, trace lines of subsequent development, make connections with other topics, and offer suggestions for further reading. These are keyed to a bibliography of over 1,300 books and papers, for each of which volume and page numbers of a review in one of the major reviewing journals is cited. These notes and bibliography should be of considerable value to the expert as well as to the novice. For the latter there are many references to such thoroughly accessible journals as the American Mathematical Monthly and L'Enseignement Mathématique. Moreover, the actual prerequisites for reading the book are quite modest; for example, the exposition assumes no prior knowledge of manifold theory, and continuity of the Riemann map on the boundary is treated without measure theory.
Author | : I-Hsiung Lin |
Publisher | : World Scientific |
Total Pages | : 713 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 9814271284 |
Download Classical Complex Analysis Book in PDF, ePub and Kindle
Classical Complex Analysis provides an introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. This volume begins with a geometric description of what a complex number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric properties of analytic functions are then developed and described In detail, and various applications of residues are Included; analytic continuation is also introduced. --Book Jacket.
Author | : Wolfgang Tutschke |
Publisher | : CRC Press |
Total Pages | : 480 |
Release | : 2004-06-25 |
Genre | : Mathematics |
ISBN | : 1584884789 |
Download An Introduction to Complex Analysis Book in PDF, ePub and Kindle
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 | : |
Publisher | : |
Total Pages | : |
Release | : 1974 |
Genre | : Analytic functions |
ISBN | : |
Download An Introduction to Classical Complex Analysis Book in PDF, ePub and Kindle
Author | : Junjiro Noguchi |
Publisher | : American Mathematical Soc. |
Total Pages | : 268 |
Release | : 2008-04-09 |
Genre | : Mathematics |
ISBN | : 9780821889602 |
Download Introduction to Complex Analysis Book in PDF, ePub and Kindle
This book describes a classical introductory part of complex analysis for university students in the sciences and engineering and could serve as a text or reference book. It places emphasis on rigorous proofs, presenting the subject as a fundamental mathematical theory. The volume begins with a problem dealing with curves related to Cauchy's integral theorem. To deal with it rigorously, the author gives detailed descriptions of the homotopy of plane curves. Since the residue theorem is important in both pure and applied mathematics, the author gives a fairly detailed explanation of how to apply it to numerical calculations; this should be sufficient for those who are studying complex analysis as a tool.
Author | : Eberhard Freitag |
Publisher | : Springer Science & Business Media |
Total Pages | : 553 |
Release | : 2006-01-17 |
Genre | : Mathematics |
ISBN | : 3540308237 |
Download Complex Analysis Book in PDF, ePub and Kindle
All needed notions are developed within the book: with the exception of fundamentals which are presented in introductory lectures, no other knowledge is assumed Provides a more in-depth introduction to the subject than other existing books in this area Over 400 exercises including hints for solutions are included
Author | : |
Publisher | : |
Total Pages | : 0 |
Release | : 1979 |
Genre | : |
ISBN | : |
Download An Introduction to Classical Complex Analysis Book in PDF, ePub and Kindle
Author | : I-Hsiung Lin |
Publisher | : World Scientific |
Total Pages | : 1085 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 981426122X |
Download Classical Complex Analysis Book in PDF, ePub and Kindle
Classical Complex Analysis provides an introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. This volume begins with a geometric description of what a complex number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric properties of analytic functions are then developed and described In detail, and various applications of residues are Included; analytic continuation is also introduced. --Book Jacket.
Author | : Robert B. Burckel |
Publisher | : |
Total Pages | : |
Release | : 1979 |
Genre | : Analytic functions |
ISBN | : |
Download An Introduction to Classical Complex Analysis Book in PDF, ePub and Kindle
Author | : John P. D'Angelo |
Publisher | : American Mathematical Soc. |
Total Pages | : 177 |
Release | : 2010 |
Genre | : Functions of complex variables |
ISBN | : 0821852744 |
Download An Introduction to Complex Analysis and Geometry Book in PDF, ePub and Kindle
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.