Handbook of Conformal Mapping with Computer-Aided VisualizationCRC Press, 16 Δεκ 1994 - 368 σελίδες This book is a guide on conformal mappings, their applications in physics and technology, and their computer-aided visualization. Conformal mapping (CM) is a classical part of complex analysis having numerous applications to mathematical physics. This modern handbook on CM includes recent results such as the classification of all triangles and quadrangles that can be mapped by elementary functions, mappings realized by elliptic integrals and Jacobian elliptic functions, and mappings of doubly connected domains. This handbook considers a wide array of applications, among which are the construction of a Green function for various boundary-value problems, streaming around airfoils, the impact of a cylinder on the surface of a liquid, and filtration under a dam. With more than 160 domains included in the catalog of mapping, Handbook of Conformal Mapping with Computer-Aided Visualization is more complete and useful than any previous volume covering this important topic. The authors have developed an interactive ready-to-use software program for constructing conformal mappings and visualizing plane harmonic vector fields. The book includes a floppy disk for IBM-compatible computers that contains the CONFORM program. |
Περιεχόμενα
0 | 5 |
37 | 78 |
Applications of Conformal Mappings | 241 |
Catalog of Conformal Mappings | 291 |
Program CONFORM | 337 |
Bibliography | 345 |
| 357 | |
Συχνά εμφανιζόμενοι όροι και φράσεις
a₁ analytic continuation analytic function arctant boundary point branch points C₁ C₂ called canonical domain Cartesian Cassini's oval Catalog Cauchy-Riemann conditions complex number complex potential conformal mapping considered domain coordinates cosh Create the mapping curvilinear angular domain curvilinear strip defined domain bounded domain G doubly connected doubly connected domain elementary functions elliptic integral equation Example extended complex plane exterior finite domain formula func function f(z hyperbola integer angles inverse mapping isothermic Jordan curve lemniscata Let the function limaçon linear linear-fractional function linear-fractional transformation map the domain maps the half-plane obtained parabola parameter point at infinity points a1 polar pole polygonal domain presented in Fig program CONFORM quadrangle real axis reciprocal one-to-one rectangle relief map represents satisfying the condition Schwarz-Christoffel integral segment shown in Fig singly connected domain straight line Subsection symmetrical theorem tion unit circle univalent upper half-plane values vector field w₁ z-plane z₁ Zhukovskii function მყ
Δημοφιλή αποσπάσματα
Σελίδα 351 - Lavrentiev, MA, Shabat, BV Problems of Hydrodynamics and Their Mathematical Models, Nauka, Moscow, 1977, (in Russian).