Kod: 02038756
Harmonic mappings in the plane are univalent complex-valued harmonic functions of a complex variable. Conformal mappings are a special case where the real and imaginary parts are conjugate harmonic functions, satisfying the Cauchy ... więcej
84.86 €
Potrzebujesz więcej egzemplarzy?Jeżeli jesteś zainteresowany zakupem większej ilości egzemplarzy, skontaktuj się z nami, aby sprawdzić ich dostępność.
Za ten zakup dostaniesz 214 punkty
Harmonic mappings in the plane are univalent complex-valued harmonic functions of a complex variable. Conformal mappings are a special case where the real and imaginary parts are conjugate harmonic functions, satisfying the Cauchy-Riemann equations. Harmonic mappings were studied classically by differential geometers because they provide isothermal (or conformal) parameters for minimal surfaces. More recently they have been actively investigated by complex analysts as generalizations of univalent analytic functions, or conformal mappings. Many classical results of geometric function theory extend to harmonic mappings, but basic questions remain unresolved. This book is the first comprehensive account of the theory of planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces. Essentially self-contained, the book contains background material in complex analysis and a full development of the classical theory of minimal surfaces, including the Weierstrass-Enneper representation. It is designed to introduce non-specialists to a beautiful area of complex analysis and geometry.
Kategoria Książki po angielsku Mathematics & science Mathematics Calculus & mathematical analysis
84.86 €
Osobní odběr Bratislava a 2642 dalších
Copyright ©2008-24 najlacnejsie-knihy.sk Wszelkie prawa zastrzeżonePrywatnieCookies
Nákupní košík ( prázdný )