complex variables

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Complex Variables

Author : Francis J. Flanigan
ISBN : 9780486613888
Genre : Mathematics
File Size : 43. 22 MB
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Contents include calculus in the plane; harmonic functions in the plane; analytic functions and power series; singular points and Laurent series; and much more. Numerous problems and solutions. 1972 edition.

Complex Variables

Author : Carlos A. Berenstein
ISBN : 0387973494
Genre : Mathematics
File Size : 59. 27 MB
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Textbooks, even excellent ones, are a reflection of their times. Form and content of books depend on what the students know already, what they are expected to learn, how the subject matter is regarded in relation to other divisions of mathematics, and even how fashionable the subject matter is. It is thus not surprising that we no longer use such masterpieces as Hurwitz and Courant's Funktionentheorie or Jordan's Cours d'Analyse in our courses. The last two decades have seen a significant change in the techniques used in the theory of functions of one complex variable. The important role played by the inhomogeneous Cauchy-Riemann equation in the current research has led to the reunification, at least in their spirit, of complex analysis in one and in several variables. We say reunification since we think that Weierstrass, Poincare, and others (in contrast to many of our students) did not consider them to be entirely separate subjects. Indeed, not only complex analysis in several variables, but also number theory, harmonic analysis, and other branches of mathematics, both pure and applied, have required a reconsidera tion of analytic continuation, ordinary differential equations in the complex domain, asymptotic analysis, iteration of holomorphic functions, and many other subjects from the classic theory of functions of one complex variable. This ongoing reconsideration led us to think that a textbook incorporating some of these new perspectives and techniques had to be written.

Complex Variables

Author : H. S. KASANA
ISBN : 8120326415
Genre : Mathematics
File Size : 76. 95 MB
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The second edition of this comprehensive and accessible text continues to offer students a challenging and enjoyable study of complex variables that is infused with perfect balanced coverage of mathematical theory and applied topics. The author explains fundamental concepts and techniques with precision and introduces the students to complex variable theory through conceptual develop-ment of analysis that enables them to develop a thorough understanding of the topics discussed. Geometric interpretation of the results, wherever necessary, has been inducted for making the analysis more accessible. The level of the text assumes that the reader is acquainted with elementary real analysis. Beginning with the revision of the algebra of complex variables, the book moves on to deal with analytic functions, elementary functions, complex integration, sequences, series and infinite products, series expansions, singularities and residues. The application-oriented chapters on sums and integrals, conformal mappings, Laplace transform, and some special topics, provide a practical-use perspective. Enriched with many numerical examples and exercises designed to test the student's comprehension of the topics covered, this book is written for a one-semester course in complex variables for students in the science and engineering disciplines.

Complex Variables

Author : A. K. Kapoor
ISBN : 9789814313520
Genre : Mathematics
File Size : 60. 57 MB
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This textbook introduces the theory of complex variables at undergraduate level. A good collection of problems is provided in the second part of the book. The book is written in a user-friendly style that presents important fundamentals a beginner needs to master the technical details of the subject. Similarly, teachers can also adopt the text for a course on complex variables and for mining problems. The organization of problems into focused sets is an important feature of the book.

Complex Variables I Essentials

Author : Alan D. Solomon
ISBN : 0738672432
Genre : Mathematics
File Size : 20. 97 MB
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Includes functions of a complex variable, elementary complex functions, integrals of complex functions in the complex plane, sequences and series, and poles and residues.

Functions Of Complex Variables

Author : Zane C. Motteler
ISBN : UOM:39015049300463
Genre : Mathematics
File Size : 37. 91 MB
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A Guide To Complex Variables

Author : Steven G. Krantz
ISBN : 0883853388
Genre : Mathematics
File Size : 31. 96 MB
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A quick and easy-to-use introduction to the key topics in complex variables, for mathematicians and non-mathematicians alike.

Complex Variables And Applications

Author : James Ward Brown
ISBN : 0072872527
Genre : Mathematics
File Size : 63. 13 MB
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Contents - Complex Numbers; Analytic Functions; Elementary Functions; Integrals; Series; Residues and Poles; Applications of Residues; Mapping by Elementary Functions; Conformal Mapping; Applications of Conformal Mapping; The Schwarz - Christoffel Transformation; Integral Formulas of the Poisson Type.

Complex Variables

Author : Stephen D. Fisher
ISBN : 9780486406794
Genre : Mathematics
File Size : 54. 77 MB
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Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, transform methods. Hundreds of solved examples, exercises, applications. 1990 edition. Appendices.

Complex Variables

Author : Robert B. Ash
ISBN : 9780486462509
Genre : Mathematics
File Size : 76. 23 MB
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This text on complex variables is geared toward graduate students and undergraduates who have taken an introductory course in real analysis. It is a substantially revised and updated edition of the popular text by Robert B. Ash, offering a concise treatment that provides careful and complete explanations as well as numerous problems and solutions. An introduction presents basic definitions, covering topology of the plane, analytic functions, real-differentiability and the Cauchy-Riemann equations, and exponential and harmonic functions. Succeeding chapters examine the elementary theory and the general Cauchy theorem and its applications, including singularities, residue theory, the open mapping theorem for analytic functions, linear fractional transformations, conformal mapping, and analytic mappings of one disk to another. The Riemann mapping theorem receives a thorough treatment, along with factorization of analytic functions. As an application of many of the ideas and results appearing in earlier chapters, the text ends with a proof of the prime number theorem.

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