Classical Complex Analysis A Geometric Approach Volume 2
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Author | : I-Hsiung Lin |
Publisher | : World Scientific |
Total Pages | : 713 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 9814271284 |
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 | : I-Hsiung Lin |
Publisher | : World Scientific |
Total Pages | : 1085 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 981426122X |
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 | : I-hsiung Lin |
Publisher | : World Scientific Publishing Company |
Total Pages | : 1085 |
Release | : 2010-09-09 |
Genre | : Mathematics |
ISBN | : 9813101105 |
Classical Complex Analysis, available in two volumes, provides a clear, broad and solid introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. Volume 1 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.The book is rich in contents, figures, examples and exercises. It is self-contained and is designed for a variety of usages and motivations concerning advanced studies. It can be used both as a textbook for undergraduate and graduate students, and as a reference book in general.
Author | : I-hsiung Lin |
Publisher | : |
Total Pages | : 713 |
Release | : 2010 |
Genre | : |
ISBN | : 9789814271301 |
Author | : Steven G. Krantz |
Publisher | : Cambridge University Press |
Total Pages | : 252 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9780883850350 |
Advanced textbook on central topic of pure mathematics.
Author | : Tristan Needham |
Publisher | : Oxford University Press |
Total Pages | : 620 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 9780198534464 |
This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.
Author | : Daniel Huybrechts |
Publisher | : Springer Science & Business Media |
Total Pages | : 336 |
Release | : 2005 |
Genre | : Computers |
ISBN | : 9783540212904 |
Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)
Author | : I-hsiung Lin |
Publisher | : World Scientific Publishing Company |
Total Pages | : 833 |
Release | : 2008-05-06 |
Genre | : Mathematics |
ISBN | : 9813101555 |
This accessible book for beginners uses intuitive geometric concepts to create abstract algebraic theory with a special emphasis on geometric characterizations. The book applies known results to describe various geometries and their invariants, and presents problems concerned with linear algebra, such as in real and complex analysis, differential equations, differentiable manifolds, differential geometry, Markov chains and transformation groups. The clear and inductive approach makes this book unique among existing books on linear algebra both in presentation and in content.
Author | : Saeed Zakeri |
Publisher | : Princeton University Press |
Total Pages | : 442 |
Release | : 2021-11-02 |
Genre | : Mathematics |
ISBN | : 0691207585 |
"This textbook is intended for a year-long graduate course on complex analysis, a branch of mathematical analysis that has broad applications, particularly in physics, engineering, and applied mathematics. Based on nearly twenty years of classroom lectures, the book is accessible enough for independent study, while the rigorous approach will appeal to more experienced readers and scholars, propelling further research in this field. While other graduate-level complex analysis textbooks do exist, Zakeri takes a distinctive approach by highlighting the geometric properties and topological underpinnings of this area. Zakeri includes more than three hundred and fifty problems, with problem sets at the end of each chapter, along with additional solved examples. Background knowledge of undergraduate analysis and topology is needed, but the thoughtful examples are accessible to beginning graduate students and advanced undergraduates. At the same time, the book has sufficient depth for advanced readers to enhance their own research. The textbook is well-written, clearly illustrated, and peppered with historical information, making it approachable without sacrificing rigor. It is poised to be a valuable textbook for graduate students, filling a needed gap by way of its level and unique approach"--
Author | : Andrzej Katunin |
Publisher | : CRC Press |
Total Pages | : 104 |
Release | : 2017-10-05 |
Genre | : Computers |
ISBN | : 1351801201 |
This book presents concisely the full story on complex and hypercomplex fractals, starting from the very first steps in complex dynamics and resulting complex fractal sets, through the generalizations of Julia and Mandelbrot sets on a complex plane and the Holy Grail of the fractal geometry – a 3D Mandelbrot set, and ending with hypercomplex, multicomplex and multihypercomplex fractal sets which are still under consideration of scientists. I tried to write this book in a possibly simple way in order to make it understandable to most people whose math knowledge covers the fundamentals of complex numbers only. Moreover, the book is full of illustrations of generated fractals and stories concerned with great mathematicians, number spaces and related fractals. In the most cases only information required for proper understanding of a nature of a given vector space or a construction of a given fractal set is provided, nevertheless a more advanced reader may treat this book as a fundamental compendium on hypercomplex fractals with references to purely scientific issues like dynamics and stability of hypercomplex systems.