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Geometric Function Theory in One and Higher Dimensionsby Ian Graham; Gabriela Kohr
Marcel Dekker Inc 2003; US$ 99.95This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions. It introduces the infinite-dimensional theory and provides numerous exercises in each chapter for further study. more...
Complex Variablesby Mark J. Ablowitz; Athanassios S. Fokas; D. G. Crighton
Cambridge University Press 2003; US$ 69.00Complex variables provide powerful methods for attacking many difficult problems, and it is the aim of this book to provide a thorough grounding in these methods and their application. This new edition has been improved throughout and is ideal for use in undergraduate and introductory graduate courses in complex variables. more...
Schwarz-Christoffel Mappingby Tobin A. Driscoll; Lloyd N. Trefethen; P. G. Ciarlet; A. Iserles; R. V. Kohn; M. H. Wright
Cambridge University Press 2002; US$ 67.00This book provides a comprehensive look at the Schwarz-Christoffel transformation, including its history and foundations, practical computation, common and less common variations, and its many applications. It is intended as an accessible resource for engineers, scientists, and applied mathematicians who may not have much prior experience with theoretical or computational conformal mapping techniques. more...
Topics in Analysis and its Applicationsby G.A. Barsegian; H.G.W. Begehr
Springer 2004; US$ 179.00Most topics dealt with here deal with complex analysis of both one and several complex variables. Several contributions come from elasticity theory. Areas covered include the theory of p-adic analysis, mappings of bounded mean oscillations, quasiconformal mappings of Klein surfaces, complex dynamics of inverse functions of rational or transcendental entire functions, the nonlinear Riemann-Hilbert problem for analytic functions with nonsmooth target manifolds, the Carleman-Bers-Vekua system, the logarithmic derivative of meromorphic functions, G-lines, computing the number of points in an arbitrary finite semi-algebraic subset, linear differential operators, explicit solution of first and second order systems in bounded domains degenerating... more...
Airy Functions And Applications To Physicsby Olivier Vallée; Manuel Soares
World Scientific 2004; US$ 65.00The use of special functions, and in particular Airy functions, is rather common in physics. The reason may be found in the need, and even in the necessity, to express a physical phenomenon in terms of an effective and comprehensive analytical form for the whole scientific community. However, for the past twenty years, many physical problems have been resolved by computers. This trend is now becoming the norm as the importance of computers continues to grow. As a last resort, the special functions employed in physics will have to be calculated numerically, even if the analytic formulation of physics is of primary importance. more...
Handbook of Generalized Convexity and Generalized Monotonicityby Nicolas Hadjisavvas; Sándor Komlósi; Siegfried Schaible
Springer 2005; US$ 349.00Studies in generalized convexity and generalized monotonicity have significantly increased during the last two decades. Researchers with very diverse backgrounds such as mathematical programming, optimization theory, convex analysis, nonlinear analysis, nonsmooth analysis, linear algebra, probability theory, variational inequalities, game theory, economic theory, engineering, management science, equilibrium analysis, for example are attracted to this fast growing field of study. more...
Generalized Convexity, Generalized Monotonicity and Applicationsby Andrew Eberhard
Springer 2005; US$ 149.00This volume contains a collection of refereed articles on generalized convexity and generalized monotonicity. The first part of the book contains invited papers by leading experts (J.M. Borwein, R.E. Burkard, B.S. Mordukhovich and H. Tuy) with applications of (generalized) convexity to such diverse fields as algebraic dynamics of the Gamma function values, discrete optimization, Lipschitzian stability of parametric constraint systems, and monotonicity of functions. The second part contains contributions presenting the latest developments in generalized convexity and generalized monotonicity: its connections with discrete and with continuous optimization, multiobjective optimization, fractional programming, nonsmooth Aanalysis, variational inequalities,... more...
Integral Theorems for Functions and Differential Forms in C(m)by Reynaldo Rocha-Chavez
CRC Press 2001; US$ 119.95This work offers an approach to studying classical problems in several complex variables. It constructs a universal Cauchy kernel that clarifies the nature of the Koppelman formula, and it extends the concept of holomorphic functions to the setting of differential forms. more...
On a Class of Incomplete Gamma Functions with Applicationsby M. Aslam Chaudhry
CRC Press 2001; US$ 109.95The closed-form solutions to a considerable number of problems in applied mathematics, astrophysics, nuclear physics and engineering can be expressed in terms of the incomplete Gamma functions. This monograph provides a comprehensive study of incomplete Gamma functions. more...
Complex Manifolds and Deformation of Complex Structuresby Kunihiko Kodaira
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2004; US$ 49.95In this title, the author, who with Spencer created the theory of deformations of a complex manifold, has written a book which should be of service to all who are interested in this by now vast subject. more...