Complex Variables with Applications

Author: Saminathan Ponnusamy,Herb Silverman

Publisher: Springer Science & Business Media

ISBN: 9780817645137

Category: Mathematics

Page: 514

View: 4594

Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometric characteristics Engaging exposition with discussions, remarks, questions, and exercises to motivate understanding and critical thinking skills Encludes numerous examples and applications relevant to science and engineering students

Complex Analysis with Applications

Author: Richard A. Silverman

Publisher: Courier Corporation

ISBN: 9780486647623

Category: Mathematics

Page: 274

View: 2523

The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition.

Complex Analysis with Applications in Science and Engineering

Author: Harold Cohen

Publisher: Springer Science & Business Media

ISBN: 0387730583

Category: Mathematics

Page: 477

View: 8003

The Second Edition of this acclaimed text helps you apply theory to real-world applications in mathematics, physics, and engineering. It easily guides you through complex analysis with its excellent coverage of topics such as series, residues, and the evaluation of integrals; multi-valued functions; conformal mapping; dispersion relations; and analytic continuation. Worked examples plus a large number of assigned problems help you understand how to apply complex concepts and build your own skills by putting them into practice. This edition features many new problems, revised sections, and an entirely new chapter on analytic continuation.

Complex Variables with Applications

Author: A. David Wunsch

Publisher: Addison-Wesley

ISBN: 9780201122992

Category: Mathematics

Page: 622

View: 5714

The second edition of this unique text remains accessible to students of engineering and mathematics with varying mathematical backgrounds. Designed for a one-semester course in complex analysis, there is optional review for students who have studied only calculus and differential equations.

A First Course in Complex Analysis with Applications

Author: Dennis G. Zill,Patrick D. Shanahan

Publisher: Jones & Bartlett Publishers

ISBN: 1449668836

Category: Mathematics

Page: 405

View: 3183

The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manner. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.

Complex Analysis with Applications

Author: Nakhlé H. Asmar,Loukas Grafakos

Publisher: Springer

ISBN: 3319940635

Category: Mathematics

Page: 494

View: 4435

This textbook is intended for a one semester course in complex analysis for upper level undergraduates in mathematics. Applications, primary motivations for this text, are presented hand-in-hand with theory enabling this text to serve well in courses for students in engineering or applied sciences. The overall aim in designing this text is to accommodate students of different mathematical backgrounds and to achieve a balance between presentations of rigorous mathematical proofs and applications. The text is adapted to enable maximum flexibility to instructors and to students who may also choose to progress through the material outside of coursework. Detailed examples may be covered in one course, giving the instructor the option to choose those that are best suited for discussion. Examples showcase a variety of problems with completely worked out solutions, assisting students in working through the exercises. The numerous exercises vary in difficulty from simple applications of formulas to more advanced project-type problems. Detailed hints accompany the more challenging problems. Multi-part exercises may be assigned to individual students, to groups as projects, or serve as further illustrations for the instructor. Widely used graphics clarify both concrete and abstract concepts, helping students visualize the proofs of many results. Freely accessible solutions to every-other-odd exercise are posted to the book’s Springer website. Additional solutions for instructors’ use may be obtained by contacting the authors directly.

Fundamentals of Complex Analysis

With Applications to Engineering and Science (Classic Version)

Author: Edward Saff,Arthur D. Snider

Publisher: Math Classics

ISBN: 9780134689487

Category: Mathematics

Page: 576

View: 6370

Originally published in 2003, reissued as part of Pearson's modern classic series.

Complex Variables

A Physical Approach with Applications and MATLAB

Author: Steven G. Krantz

Publisher: CRC Press

ISBN: 1420010956

Category: Mathematics

Page: 440

View: 1529

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: H. S. KASANA

Publisher: PHI Learning Pvt. Ltd.

ISBN: 9788120326415

Category: Mathematics

Page: 504

View: 1059

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.

Elementare Wahrscheinlichkeitstheorie und stochastische Prozesse

Author: Kai L. Chung

Publisher: Springer-Verlag

ISBN: 3642670334

Category: Mathematics

Page: 346

View: 8766

Aus den Besprechungen: "Unter den zahlreichen Einführungen in die Wahrscheinlichkeitsrechnung bildet dieses Buch eine erfreuliche Ausnahme. Der Stil einer lebendigen Vorlesung ist über Niederschrift und Übersetzung hinweg erhalten geblieben. In jedes Kapitel wird sehr anschaulich eingeführt. Sinn und Nützlichkeit der mathematischen Formulierungen werden den Lesern nahegebracht. Die wichtigsten Zusammenhänge sind als mathematische Sätze klar formuliert." #FREQUENZ#1

Complex Variables and Applications

Author: James Ward Brown,Ruel Vance Churchill

Publisher: McGraw-Hill Science Engineering

ISBN: 9780072872521

Category: Mathematics

Page: 458

View: 1728

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 Analysis with Applications to Flows and Fields

Author: Luis Manuel Braga da Costa Campos

Publisher: CRC Press

ISBN: 1420071203

Category: Mathematics

Page: 1029

View: 4387

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.

Explorations in Harmonic Analysis

With Applications to Complex Function Theory and the Heisenberg Group

Author: Steven G. Krantz

Publisher: Springer Science & Business Media

ISBN: 9780817646691

Category: Mathematics

Page: 362

View: 6729

This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis.

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: 6188

This work is an introduction to the theory and practice of Business Statistics, a core course in business colleges, 4-year institutions, and MBA programmes. This updated edition includes more focus on Excel to reflect upon the change in the curriculum.