Author: A. K. Kapoor Publisher: World Scientific ISBN: 9814313521 Category : Mathematics Languages : en Pages : 522
Book Description
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.
Author: A K Kapoor Publisher: World Scientific Publishing Company ISBN: 9813100826 Category : Mathematics Languages : en Pages : 522
Book Description
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. The organization of problems into focused sets is an important feature of the book and the teachers may adopt this book for a course on complex variables and for mining problems.
Author: Steven G. Krantz Publisher: CRC Press ISBN: 1000007189 Category : Mathematics Languages : en Pages : 252
Book Description
The idea of complex numbers dates back at least 300 years—to Gauss and Euler, among others. Today complex analysis is a central part of modern analytical thinking. It is used in engineering, physics, mathematics, astrophysics, and many other fields. It provides powerful tools for doing mathematical analysis, and often yields pleasing and unanticipated answers. This book makes the subject of complex analysis accessible to a broad audience. The complex numbers are a somewhat mysterious number system that seems to come out of the blue. It is important for students to see that this is really a very concrete set of objects that has very concrete and meaningful applications. Features: This new edition is a substantial rewrite, focusing on the accessibility, applied, and visual aspect of complex analysis This book has an exceptionally large number of examples and a large number of figures. The topic is presented as a natural outgrowth of the calculus. It is not a new language, or a new way of thinking. Incisive applications appear throughout the book. Partial differential equations are used as a unifying theme.
Author: Steven G. Krantz Publisher: Springer Science & Business Media ISBN: 1461215889 Category : Mathematics Languages : en Pages : 301
Book Description
This book is written to be a convenient reference for the working scientist, student, or engineer who needs to know and use basic concepts in complex analysis. It is not a book of mathematical theory. It is instead a book of mathematical practice. All the basic ideas of complex analysis, as well as many typical applica tions, are treated. Since we are not developing theory and proofs, we have not been obliged to conform to a strict logical ordering of topics. Instead, topics have been organized for ease of reference, so that cognate topics appear in one place. Required background for reading the text is minimal: a good ground ing in (real variable) calculus will suffice. However, the reader who gets maximum utility from the book will be that reader who has had a course in complex analysis at some time in his life. This book is a handy com pendium of all basic facts about complex variable theory. But it is not a textbook, and a person would be hard put to endeavor to learn the subject by reading this book.
Author: Emil G. Milewski Publisher: Research & Education Assn ISBN: 9780878916047 Category : Mathematics Languages : en Pages : 913
Book Description
For student in mathematics, engineering, and physics. Includes comprehensive coverage of complex numbers, set theory, mapping, functions, Cauchy-Riemann conditions, power series, Taylor series, Green's theorem, Laurent expansions, singularities, residues, transformations, and numerous scientific applications.
Author: Steven G. Krantz Publisher: CRC Press ISBN: 1584885807 Category : Mathematics Languages : en Pages : 443
Book Description
From the algebraic properties of a complete number field, to the analytic properties imposed by the Cauchy integral formula, to the geometric qualities originating from conformality, Complex Variables: A Physical Approach with Applications and MATLAB explores all facets of this subject, with particular emphasis on using theory in practice. The first five chapters encompass the core material of the book. These chapters cover fundamental concepts, holomorphic and harmonic functions, Cauchy theory and its applications, and isolated singularities. Subsequent chapters discuss the argument principle, geometric theory, and conformal mapping, followed by a more advanced discussion of harmonic functions. The author also presents a detailed glimpse of how complex variables are used in the real world, with chapters on Fourier and Laplace transforms as well as partial differential equations and boundary value problems. The final chapter explores computer tools, including Mathematica®, MapleTM, and MATLAB®, that can be employed to study complex variables. Each chapter contains physical applications drawing from the areas of physics and engineering. Offering new directions for further learning, this text provides modern students with a powerful toolkit for future work in the mathematical sciences.
Author: J.B. Conway Publisher: Springer Science & Business Media ISBN: 1461599725 Category : Mathematics Languages : en Pages : 323
Book Description
This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - I) arguments. The actual pre requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathe matics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.
Author: Emil G. Milewski Publisher: Research & Education Assoc. ISBN: 9780738670867 Category : Mathematics Languages : en Pages : 932
Book Description
For student in mathematics, engineering, and physics. Includes comprehensive coverage of complex numbers, set theory, mapping, functions, Cauchy-Riemann conditions, power series, Taylor series, Green's theorem, Laurent expansions, singularities, residues, transformations, and numerous scientific applications.
Author: George F. Carrier Publisher: SIAM ISBN: 9780898719116 Category : Mathematics Languages : en Pages : 451
Book Description
Functions of a complex variable are used to solve applications in various branches of mathematics, science, and engineering. Functions of a Complex Variable: Theory and Technique is a book in a special category of influential classics because it is based on the authors' extensive experience in modeling complicated situations and providing analytic solutions. The book makes available to readers a comprehensive range of these analytical techniques based upon complex variable theory. Advanced topics covered include asymptotics, transforms, the Wiener-Hopf method, and dual and singular integral equations. The authors provide many exercises, incorporating them into the body of the text. Audience: intended for applied mathematicians, scientists, engineers, and senior or graduate-level students who have advanced knowledge in calculus and are interested in such subjects as complex variable theory, function theory, mathematical methods, advanced engineering mathematics, and mathematical physics.
Author: A. K. Kapoor
Author: Kapoor
Author: A K Kapoor
Author: Steven G. Krantz
Author: Steven G. Krantz
Author: Emil G. Milewski
Author: Steven G. Krantz
Author: J.B. Conway
Author: Emil G. Milewski
Author: George F. Carrier