Complex Analysis And Applications

Author : Nakhlé H. Asmar,Loukas Grafakos
Publisher : Springer
Page : 494 pages
File Size : 50,8 Mb
Release : 2018-10-12
Category : Mathematics
ISBN : 9783319940632

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Complex Analysis with Applications by Nakhlé H. Asmar,Loukas Grafakos Pdf

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.

Author : Hemant Kumar Pathak
Publisher : Springer Nature
Page : 928 pages
File Size : 44,6 Mb
Release : 2019-08-19
Category : Mathematics
ISBN : 9789811397349

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Complex Analysis and Applications by Hemant Kumar Pathak Pdf

This book offers an essential textbook on complex analysis. After introducing the theory of complex analysis, it places special emphasis on the importance of Poincare theorem and Hartog’s theorem in the function theory of several complex variables. Further, it lays the groundwork for future study in analysis, linear algebra, numerical analysis, geometry, number theory, physics (including hydrodynamics and thermodynamics), and electrical engineering. To benefit most from the book, students should have some prior knowledge of complex numbers. However, the essential prerequisites are quite minimal, and include basic calculus with some knowledge of partial derivatives, definite integrals, and topics in advanced calculus such as Leibniz’s rule for differentiating under the integral sign and to some extent analysis of infinite series. The book offers a valuable asset for undergraduate and graduate students of mathematics and engineering, as well as students with no background in topological properties.

Author : Richard A. Silverman
Publisher : Courier Corporation
Page : 308 pages
File Size : 43,6 Mb
Release : 1984-01-01
Category : Mathematics
ISBN : 0486647625

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Complex Analysis with Applications by Richard A. Silverman Pdf

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.

Author : Alan Jeffrey
Publisher : CRC Press
Page : 592 pages
File Size : 48,7 Mb
Release : 2005-11-10
Category : Mathematics
ISBN : 9780203026564

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Complex Analysis and Applications by Alan Jeffrey Pdf

Complex Analysis and Applications, Second Edition explains complex analysis for students of applied mathematics and engineering. Restructured and completely revised, this textbook first develops the theory of complex analysis, and then examines its geometrical interpretation and application to Dirichlet and Neumann boundary value problems.

Author : William R. Derrick
Publisher : Thomson Brooks/Cole
Page : 374 pages
File Size : 48,5 Mb
Release : 1984
Category : Mathematics
ISBN : UOM:39015015684346

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Complex Analysis and Applications by William R. Derrick Pdf

Author : Harold Cohen
Publisher : Springer Science & Business Media
Page : 487 pages
File Size : 43,9 Mb
Release : 2010-04-23
Category : Mathematics
ISBN : 9780387730585

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Complex Analysis with Applications in Science and Engineering by Harold Cohen Pdf

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.

Author : Michael Ruzhansky,Yeol Je Cho,Praveen Agarwal,Iván Area
Publisher : Birkhäuser
Page : 301 pages
File Size : 44,5 Mb
Release : 2017-10-03
Category : Mathematics
ISBN : 9789811043376

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Advances in Real and Complex Analysis with Applications by Michael Ruzhansky,Yeol Je Cho,Praveen Agarwal,Iván Area Pdf

This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples. The topics include real and complex analysis, special functions and analytic number theory, q-series, Ramanujan’s mathematics, fractional calculus, Clifford and harmonic analysis, graph theory, complex analysis, complex dynamical systems, complex function spaces and operator theory, geometric analysis of complex manifolds, geometric function theory, Riemannian surfaces, Teichmüller spaces and Kleinian groups, engineering applications of complex analytic methods, nonlinear analysis, inequality theory, potential theory, partial differential equations, numerical analysis , fixed-point theory, variational inequality, equilibrium problems, optimization problems, stability of functional equations, and mathematical physics. It includes papers presented at the 24th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (24ICFIDCAA), held at the Anand International College of Engineering, Jaipur, 22–26 August 2016. The book is a valuable resource for researchers in real and complex analysis.

Author : Tarlok Nath Shorey
Publisher : Springer Nature
Page : 287 pages
File Size : 54,5 Mb
Release : 2020-11-13
Category : Mathematics
ISBN : 9789811590979

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Complex Analysis with Applications to Number Theory by Tarlok Nath Shorey Pdf

The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics and undergraduate students of engineering, as well as to researchers in complex analysis and number theory. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex variables, hyperbolic geometry, two and three manifolds and number theory. In additional to solved examples and problems, the book covers most of the topics of current interest, such as Cauchy theorems, Picard’s theorems, Riemann–Zeta function, Dirichlet theorem, gamma function and harmonic functions.

Author : Dennis Zill,Patrick Shanahan
Publisher : Jones & Bartlett Learning
Page : 471 pages
File Size : 48,6 Mb
Release : 2009
Category : Mathematics
ISBN : 9780763757724

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A First Course in Complex Analysis with Applications by Dennis Zill,Patrick Shanahan Pdf

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 manor. 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.

Author : Harold Cohen
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 54,7 Mb
Release : 2003-07-31
Category : Mathematics
ISBN : 0306477483

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Fundamentals and Applications of Complex Analysis by Harold Cohen Pdf

This book is intended to serve as a text for first and second year courses in single variable complex analysis. The material that is appropriate for more advanced study is developed from elementary material. The concepts are illustrated with large numbers of examples, many of which involve problems students encounter in other courses. For example, students who have taken an introductory physics course will have encountered analysis of simple AC circuits. This text revisits such analysis using complex numbers. Cauchy's residue theorem is used to evaluate many types of definite integrals that students are introduced to in the beginning calculus sequence. Methods of conformal mapping are used to solve problems in electrostatics. The book contains material that is not considered in other popular complex analysis texts.

Author : Saminathan Ponnusamy,Herb Silverman
Publisher : Springer Science & Business Media
Page : 521 pages
File Size : 49,7 Mb
Release : 2007-05-26
Category : Mathematics
ISBN : 9780817645137

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Complex Variables with Applications by Saminathan Ponnusamy,Herb Silverman Pdf

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

Author : Teodor Bulboacǎ,Santosh B. Joshi,Pranay Goswami
Publisher : Walter de Gruyter GmbH & Co KG
Page : 639 pages
File Size : 50,6 Mb
Release : 2019-07-08
Category : Mathematics
ISBN : 9783110658033

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Complex Analysis by Teodor Bulboacǎ,Santosh B. Joshi,Pranay Goswami Pdf

This book is an in-depth and modern presentation of important classical results in complex analysis and is suitable for a first course on the topic, as taught by the authors at several universities. The level of difficulty of the material increases gradually from chapter to chapter, and each chapter contains many exercises with solutions and applications of the results, with the particular goal of showcasing a variety of solution techniques.

Author : Luis Barreira,Claudia Valls
Publisher : Springer Science & Business Media
Page : 417 pages
File Size : 50,7 Mb
Release : 2012-04-23
Category : Mathematics
ISBN : 9781447140085

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Complex Analysis and Differential Equations by Luis Barreira,Claudia Valls Pdf

This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and partial differential equations. The text is divided into two parts: part one focuses on complex analysis and part two on differential equations. Each part can be read independently, so in essence this text offers two books in one. In the second part of the book, some emphasis is given to the application of complex analysis to differential equations. Half of the book consists of approximately 200 worked out problems, carefully prepared for each part of theory, plus 200 exercises of variable levels of difficulty. Tailored to any course giving the first introduction to complex analysis or differential equations, this text assumes only a basic knowledge of linear algebra and differential and integral calculus. Moreover, the large number of examples, worked out problems and exercises makes this the ideal book for independent study.

Author : Daniel Alpay
Publisher : Birkhäuser
Page : 592 pages
File Size : 45,8 Mb
Release : 2016-10-26
Category : Mathematics
ISBN : 9783319421810

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A Complex Analysis Problem Book by Daniel Alpay Pdf

This second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students to various applications and aspects of the theory of analytic functions not always touched on in a first course, while also addressing topics of interest to electrical engineering students (e.g., the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). It provides examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space), and also includes a section reviewing essential aspects of topology, functional analysis and Lebesgue integration. Benefits of the 2nd edition Rational functions are now covered in a separate chapter. Further, the section on conformal mappings has been expanded.

Author : John P. D'Angelo
Publisher : CRC Press
Page : 331 pages
File Size : 41,8 Mb
Release : 2017-08-02
Category : Mathematics
ISBN : 9781498756167

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Linear and Complex Analysis for Applications by John P. D'Angelo Pdf

Linear and Complex Analysis for Applications aims to unify various parts of mathematical analysis in an engaging manner and to provide a diverse and unusual collection of applications, both to other fields of mathematics and to physics and engineering. The book evolved from several of the author’s teaching experiences, his research in complex analysis in several variables, and many conversations with friends and colleagues. It has three primary goals: to develop enough linear analysis and complex variable theory to prepare students in engineering or applied mathematics for advanced work, to unify many distinct and seemingly isolated topics, to show mathematics as both interesting and useful, especially via the juxtaposition of examples and theorems. The book realizes these goals by beginning with reviews of Linear Algebra, Complex Numbers, and topics from Calculus III. As the topics are being reviewed, new material is inserted to help the student develop skill in both computation and theory. The material on linear algebra includes infinite-dimensional examples arising from elementary calculus and differential equations. Line and surface integrals are computed both in the language of classical vector analysis and by using differential forms. Connections among the topics and applications appear throughout the book. The text weaves abstract mathematics, routine computational problems, and applications into a coherent whole, whose unifying theme is linear systems. It includes many unusual examples and contains more than 450 exercises.