Introduction to Complex Variables and Applications PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Introduction to Complex Variables and Applications PDF full book. Access full book title Introduction to Complex Variables and Applications by Mark J. Ablowitz. Download full books in PDF and EPUB format.
Author: Mark J. Ablowitz
Publisher: Cambridge University Press
ISBN: 110896334X
Category : Mathematics
Languages : en
Pages : 422
Get Book Here
Book Description
The study of complex variables is beautiful from a purely mathematical point of view, and very useful for solving a wide array of problems arising in applications. This introduction to complex variables, suitable as a text for a one-semester course, has been written for undergraduate students in applied mathematics, science, and engineering. Based on the authors' extensive teaching experience, it covers topics of keen interest to these students, including ordinary differential equations, as well as Fourier and Laplace transform methods for solving partial differential equations arising in physical applications. Many worked examples, applications, and exercises are included. With this foundation, students can progress beyond the standard course and explore a range of additional topics, including generalized Cauchy theorem, Painlevé equations, computational methods, and conformal mapping with circular arcs. Advanced topics are labeled with an asterisk and can be included in the syllabus or form the basis for challenging student projects.
Author: Mark J. Ablowitz
Publisher: Cambridge University Press
ISBN: 110896334X
Category : Mathematics
Languages : en
Pages : 422
Get Book Here
Book Description
The study of complex variables is beautiful from a purely mathematical point of view, and very useful for solving a wide array of problems arising in applications. This introduction to complex variables, suitable as a text for a one-semester course, has been written for undergraduate students in applied mathematics, science, and engineering. Based on the authors' extensive teaching experience, it covers topics of keen interest to these students, including ordinary differential equations, as well as Fourier and Laplace transform methods for solving partial differential equations arising in physical applications. Many worked examples, applications, and exercises are included. With this foundation, students can progress beyond the standard course and explore a range of additional topics, including generalized Cauchy theorem, Painlevé equations, computational methods, and conformal mapping with circular arcs. Advanced topics are labeled with an asterisk and can be included in the syllabus or form the basis for challenging student projects.
Author: Mark J. Ablowitz
Publisher: Cambridge University Press
ISBN: 9780521485234
Category : Mathematics
Languages : en
Pages : 664
Get Book Here
Book Description
In addition to being mathematically elegant, complex variables provide a powerful tool for solving problems that are either very difficult or virtually impossible to solve in any other way. Part I of this text provides an introduction to the subject, including analytic functions, integration, series, and residue calculus and also includes transform methods, ODEs in the complex plane, numerical methods and more. Part II contains conformal mappings, asymptotic expansions, and the study of Riemann-Hilbert problems. The authors also provide an extensive array of applications, illustrative examples and homework exercises. This book is ideal for use in introductory undergraduate and graduate level courses in complex variables.
Author: John W. Dettman
Publisher: Courier Corporation
ISBN: 0486158284
Category : Mathematics
Languages : en
Pages : 514
Get Book Here
Book Description
Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.
Author: James Ward Brown
Publisher: McGraw-Hill Science, Engineering & Mathematics
ISBN:
Category : Computers
Languages : en
Pages : 426
Get Book Here
Book Description
This text, and accompanying disk, provides coverage of complex variables. It uses examples and exercise sets, with clear explanations of problem-solving techniqes and material on the further theory of functions.
Author: Ruel Vance Churchill
Publisher:
ISBN:
Category : Functions of complex variables
Languages : en
Pages : 230
Get Book Here
Book Description
Author: Saminathan Ponnusamy
Publisher: Springer Science & Business Media
ISBN: 0817645136
Category : Mathematics
Languages : en
Pages : 521
Get Book Here
Book Description
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: James Ward Brown
Publisher: McGraw-Hill Science, Engineering & Mathematics
ISBN: 9780072878349
Category : Mathematics
Languages : en
Pages : 168
Get Book Here
Book Description
Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 9780486647623
Category : Mathematics
Languages : en
Pages : 308
Get Book Here
Book Description
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: L. Hormander
Publisher: Elsevier
ISBN: 0444105239
Category : Mathematics
Languages : en
Pages : 227
Get Book Here
Book Description
An Introduction to Complex Analysis in Several Variables
Author: Anthony D. Osborne
Publisher: Addison Wesley
ISBN:
Category : Mathematics
Languages : en
Pages : 472
Get Book Here
Book Description
An understanding of functions of a complex variable, together with the importance of their applications, form an essential part of the study of mathematics. Complex Variables and their Applications assumes as little background knowledge of the reader as is practically possible, a sound knowledge of calculus and basic real analysis being the only essential pre-requisites. With an emphasis on clear and careful explanation, the book covers all the essential topics covered in a first course on Complex Variables, such as differentiation, integration and applications, Laurent series, residue theory and applications, and elementary conformal mappings. The reader is also introduced to the Schwarz-Christoffel transformation, Dirchlet problems, harmonic functions, analytic continuation, infinite products, asymptotic series and elliptic functions. Applications of complex variable theory to linear ordinary differential equations and integral transforms are also included. Complex Variables and their Applications is an ideal textbook and resource for second and final year students of mathematics, engineering and physics.
