Introduction to Complex Variables and 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. It contains the essential topics along with advanced topics for use in challenging projects. Many worked examples, applications, and exercises are included.

Sommario

1. Complex numbers and elementary functions; 2. Analytic functions and integration; 3. Sequences, series and singularities of complex functions; 4. Residue calculus and applications of contour integration; 5. Conformal mappings and applications; Appendix. Answers to selected odd-numbered exercises; References; Index.

Info autore

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).

Dettagli sul prodotto

• Autori: Mark J. Ablowitz, Mark J. (University of Colorado Boulder) Ablowitz, Athanassios S. Fokas, Athanassios S. (University of Cambridge) Fokas, Fokas Athanassios S.
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 30.04.2021
• EAN: 9781108832618
• ISBN: 978-1-108-83261-8
• Pagine: 420
• Serie: Cambridge Texts in Applied Mat; Cambridge Texts in Applied Mathematics
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Altro; MATHEMATICS / Mathematical Analysis, Complex analysis, complex variables, Maths for engineers, Mathematical modelling