COMPLEX VARIABLES

THEORY AND APPLICATIONS

Author: H. S. KASANA

Publisher: PHI Learning Pvt. Ltd.

ISBN: 9788120326415

Category: Mathematics

Page: 504

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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.
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Schaum's Outline of Theory and Problems of Complex Variables

With an Introduction to Conformal Mapping and Its Applications

Author: Murray R. Spiegel

Publisher: McGraw Hill Professional

ISBN: 9780070602304

Category: Mathematics

Page: 313

View: 503

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One of the most diverse branch of mathematics, complex variables proves enormously valuable for solving problems of heat flow, potential theory, fluid mechanics, electromagnetic theory, aerodynamics and moany others that arise in science and engineering. As taught in this exceptional study guide, which progresses from the algebra and geometry of complex numbers to conformal mapping and its diverse applications, students learn theories, applications and first-rate problem-solving skills.
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Complex Variable Theory and Transform Calculus

With Technical Applications

Author: M. W. McLachlan

Publisher: Cambridge University Press

ISBN: 0521154154

Category: Mathematics

Page: 402

View: 7545

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This book, first published in 1939, updated in 1953, explores the applications to mathematical problems in various branches of technology.
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Fundamentals of Complex Analysis for Mathematics, Science, and Engineering

Author: E. B. Saff,Arthur David Snider

Publisher: N.A

ISBN: N.A

Category: Functions of complex variables.

Page: 468

View: 7413

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This applied book provides a comprehensive introduction to complex variable theory and its applications. The Second Edition features a revised and up-dated presentation that reflects contemporary theories and their applications to current engineering problems.
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Complex Analysis with Applications to Flows and Fields

Author: Luis Manuel Braga da Costa Campos

Publisher: CRC Press

ISBN: 1420071203

Category: Mathematics

Page: 1029

View: 2261

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Complex Analysis with Applications to Flows and Fields presents the theory of functions of a complex variable, from the complex plane to the calculus of residues to power series to conformal mapping. The book explores numerous physical and engineering applications concerning potential flows, the gravity field, electro- and magnetostatics, steady heat conduction, and other problems. It provides the mathematical results to sufficiently justify the solution of these problems, eliminating the need to consult external references. The book is conveniently divided into four parts. In each part, the mathematical theory appears in odd-numbered chapters while the physical and engineering applications can be found in even-numbered chapters. Each chapter begins with an introduction or summary and concludes with related topics. The last chapter in each section offers a collection of many detailed examples. This self-contained book gives the necessary mathematical background and physical principles to build models for technological and scientific purposes. It shows how to formulate problems, justify the solutions, and interpret the results.
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Microeconomics: Theory And Applications

Author: D. N. Dwivedi

Publisher: Pearson Education India

ISBN: 9788177586480

Category: Cost

Page: 644

View: 8077

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This book is intended to be a comprehensive and standard textbook for undergraduate students of Microeconomics. Apart from providing students with sufficient study material for examination purpose, it aims at making them understand economics. An effort has been made to explain abstract and complex microeconomic theories in a simple and lucid language without sacrificing analytical sophistication. The subject matter has been structured in a systematic manner without leaving gaps for the readers to fill in. Though the approach is non-mathematical, simple algebra has been used to give a concrete view of economic concepts and theories and to show the applicability of economic theories in decision making.
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Clifford Algebras and Their Application in Mathematical Physics

Aachen 1996

Author: Volker Dietrich,Klaus Habetha,Gerhard Jank

Publisher: Springer Science & Business Media

ISBN: 9780792350378

Category: Mathematics

Page: 441

View: 656

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Clifford Algebras continues to be a fast-growing discipline, with ever-increasing applications in many scientific fields. This volume contains the lectures given at the Fourth Conference on Clifford Algebras and their Applications in Mathematical Physics, held at RWTH Aachen in May 1996. The papers represent an excellent survey of the newest developments around Clifford Analysis and its applications to theoretical physics. This book will appeal to physicists and mathematicians working in areas involving functions of complex variables, associative rings and algebras, integral transforms, operational calculus, partial differential equations, and the mathematics of physics.
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Complex Analysis and Applications

Proceedings of the 13th International Conference on Finite Or Infinite Dimensional Complex Analysis and Applications, Shantou University, China, 8-12 August 2005

Author: Yuefei Wang

Publisher: World Scientific

ISBN: 9812773150

Category: Electronic books

Page: 337

View: 3604

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This valuable collection of articles presents the latest methods and results in complex analysis and its applications. The present trends in complex analysis reflected in the book are concentrated in the following research directions: Clifford analysis, complex dynamical systems, complex function spaces, complex numerical analysis, qusiconformal mapping, Riemann surfaces, Teichmller theory and Klainian groups, several complex variables, and value distribution theory. Sample Chapter(s). Chapter 1: Complex Boundary Value Problems in a Quarter Plane (490 KB). Contents: Complex Boundary Value Problems in a Quarter Plane (H Begehr & G Harutyunyan); A Change of Scale Formula for Wiener Integrals of Unbounded Functions over Wiener Paths in Abstract Wiener Space (K S Chang et al.); Q p -Spaces: Generalizations to Bounded Symmetric Domains (M Englii); Order of Growth of Painlev(r) Transcendents (A Hinkkanen & I Laine); A Remark on Holomorphic Sections of Certain Holomorphic Families of Riemann Surfaces (Y Imayoshi & T Nogi); -Asymptotically Conformal Fixed Points and Holomorphic Motions (Y Jiang); Uniqueness Theory of Meromorphic Functions in an Angular Domain (W Lin & S Mori); On Nevanlinna Type Classes (N Sukantamala & Z Wu); On Non-Existence of Teichmller Extremal (G Yao); The MAbius Invariance of Besov Spaces on the Unit Ball of X n (K Zhu); and other papers. Readership: Researchers and graduates in complex analysis."
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