A First Course in Complex Analysis with ApplicationsJones & Bartlett Publishers, 31 dic 2008 - 405 páginas 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 manner. 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. |
Índice
1 | |
Chapter 2 Complex Functions and Mappings | 45 |
Chapter 3 Analytic Functions | 127 |
Chapter 4 Elementary Functions | 157 |
Chapter 5 Integration in the Complex Plane | 211 |
Chapter 6 Series and Residues | 271 |
Chapter 7 Conformal Mappings | 351 |
Appendixes | 407 |
Answers to Selected OddNumbered Problems | 1 |
Indexes | 23 |
Otras ediciones - Ver todo
A First Course in Complex Analysis with Applications Dennis G. Zill,Zill,Patrick D. Shanahan Vista previa restringida - 2008 |
A First Course in Complex Analysis with Applications Dennis G. Zill,Patrick Shanahan Vista previa restringida - 2003 |
A First Course in Complex Analysis with Applications Dennis G. Zill,Patrick Shanahan,Patrick D. Shanahan Vista previa restringida - 2006 |
Términos y frases comunes
analytic function angle Answers to selected arg(w arg(z branch C₁ Cauchy-Goursat theorem Cauchy-Riemann equations color in Figure complex exponential function complex function complex logarithm complex mapping conformal mapping cosh defined Definition derivative Dirichlet problem disk evaluate Example Exercises f(zo Figure for Problem Find the image flow function f(z ƒ is analytic harmonic ideal fluid integral formula iv(x Laurent series level curves line segment linear fractional transformation linear mapping loge modulus multiple-valued function nth root obtain odd-numbered problems begin parametrization polynomial power series principal value proof radius of convergence Re(z real and imaginary real axis real functions real number Res(f(z satisfies Section selected odd-numbered problems shown in black shown in color shown in Figure simple closed contour sinh Solution solve Theorem unit circle upper half-plane vector field z-plane z₁ zero ди მა მყ