A First Course in Complex Analysis with ApplicationsJones & Bartlett Learning, 2006 - 512 páginas A First Course In Complex Analysis With Applications Limits Theoretical Coverage To Only What Is Necessary, And Conveys It In A Student-Friendly Style. Its Aim Is To Introduce The Basic Principles And Applications Of Complex Analysis To Undergraduates Who Have No Prior Knowledge Of This Subject. Contents Of The Book Include The Complex Number System, Complex Functions And Sequences, As Well As Real Integrals; In Addition To Other Concepts Of Calculus, And The Functions Of A Complex Variable. This Text Is Written For Junior-Level Undergraduate Students Who Are Majoring In Math, Physics, Computer Science, And Electrical Engineering. |
Índice
Complex Functions and Mappings | 49 |
Analytic Functions | 141 |
Elementary Functions | 175 |
Integration in the Complex Plane | 235 |
Series and Residues | 301 |
Theorem | 363 |
Conformal Mappings | 389 |
Review Quiz | 448 |
Answers for Selected OddNumbered Problems ANS1 | 1 |
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 D. Shanahan Vista previa restringida - 2008 |
A First Course in Complex Analysis with Applications Dennis G. Zill,Patrick Shanahan Vista previa restringida - 2003 |
Términos y frases comunes
analytic function angle Answers to selected arg(z branch C₁ C1 and C2 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 equipotential curves evaluate Example Exercises f is analytic f(zo Figure for Problem Find the image flow function f(z given ideal fluid integral formula iv(x Laurent series level curves lim f(z line segment linear fractional transformation linear mapping loge modulus multiple-valued function nth root 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 Section selected odd-numbered problems shown in black shown in color shown in Figure simple closed contour sinh Solution solve unit circle upper half-plane vector field z-plane z₁ zero ди მა მე მყ