Introduction to Complex Variables and Applications (Paperback)

Mark J. Ablowitz

ISBN 10: 1108959725 / ISBN 13: 9781108959728

Editore: Cambridge University Press, Cambridge, 2021

Paperback. 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, Painleve 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. 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. It contains the essential topics along with advanced topics for use in challenging projects. Many worked examples, applications, and exercises are included. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781108959728

Riassunto:

An introduction to complex variables that caters for undergraduate students in applied mathematics, science, and engineering.

Informazioni sugli autori: Mark J. Ablowitz is Professor of Applied Mathematics at the University of Colorado, Boulder. He is the author of five books, including Nonlinear Dispersive Waves (Cambridge, 2011) and Complex Variables: Introduction and Applications (Cambridge, 2003), now in its second edition.

Athanassios S. Fokas is Professor of Nonlinear Mathematical Science in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. He is also Adjunct Professor in the Viterby School of Engineering at the University of Southern California. He is the author of four books, including Complex Variables: Introduction and Applications (Cambridge, 2003) and A Unified Approach to Boundary Value Problems (2008).

Dati bibliografici

Titolo: Introduction to Complex Variables and ...
Casa editrice: Cambridge University Press, Cambridge
Data di pubblicazione: 2021
Legatura: Paperback
Condizione: new