Complex Variables
A Physical Approach with Applications and MATLAB
Seiten
2007
Chapman & Hall/CRC (Verlag)
978-1-58488-580-1 (ISBN)
Chapman & Hall/CRC (Verlag)
978-1-58488-580-1 (ISBN)
- Titel erscheint in neuer Auflage
- Artikel merken
Zu diesem Artikel existiert eine Nachauflage
From the algebraic properties of a complete number field to the Cauchy integral formula to conformal mapping, this text explores various facets of complex variables, with emphasis on using theory in practice. It presents complex analysis as a natural continuation of calculus, and integrates MATLAB[registered] exercises and examples throughout.
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®, Maple™, 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.
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®, Maple™, 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.
Washington University, St. Louis, Missouri, USA
Preface. Basic Ideas. Holomorphic and Harmonic Functions. The Cauchy Theory. Applications of the Cauchy Theory. Isolated Singularities. The Argument Principle. The Geometric Theory. Applications of Conformal Mapping. Harmonic Functions. Transform Theory. PDEs and Boundary Value Problems. Computer Packages. Appendices. Bibliography. Index.
| Erscheint lt. Verlag | 19.9.2007 |
|---|---|
| Reihe/Serie | Textbooks in Mathematics |
| Zusatzinfo | 8 Tables, black and white; 115 Illustrations, black and white |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 997 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 1-58488-580-7 / 1584885807 |
| ISBN-13 | 978-1-58488-580-1 / 9781584885801 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Band 5: Hydraulik, Stromfadentheorie, Wellentheorie, Gasdynamik
Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 83,90
