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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...
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...
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...
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...
Continuous Optimizationby Vaithilingam Jeyakumar; Alexander M. Rubinov
Springer-Verlag New York Inc 2006; US$ 119.00Provides a picture of research in continuous optimization. The first part of this book presents articles in important topic areas of continuous optimization. The second part presents results on the theoretical aspects as well as numerical methods of continuous optimization. The third part focuses on applications of continuous optimization. more...
Quadrature Domains and Their Applicationsby Peter Ebenfelt; Björn Gustafsson; Dmitry Khavinson
Springer 2005; US$ 169.00This volume is devoted to recent advances in the theory of quadrature domains, illustrating well the multi-facet aspects of their nature. It contains a large collection of open problems pertaining to the general theme of quadrature domains. more...
Selected Topics in Complex Analysisby Vladimir Ya. Eiderman; Mikhail V. Samokhin
Springer 2005; US$ 179.00This volume is dedicated to the memory of the outstanding mathematician S.Ya. Khavinson. It begins with an expository paper by V.P. Havin presenting a comprehensive survey of Khavinson's works as well as certain biographical material. The complete bibliography following this paper has not previously been published anywhere. It consists of 163 items; a considerable part of these cannot be found in easily accessible sources. The book also contains a series of photographs and twelve original peer-reviewed research and expository papers by leading mathematicians worldwide, including the joint paper by S.Ya. Khavinson and T.S. Kuzina (the last publication of S.Ya. Khavinson). more...
Elementary Functionsby Jean-Michel Muller
Springer 2006; US$ 59.95This work deals with Numerical Algorithms. This unique book provides concepts and background necessary to understand and build algorithms for computing the elementary functions - sine, cosine, tangent, exponentials, and logarithms. The author presents and structures the algorithms, hardware-oriented as well as software-oriented, and also discusses issues related to accurate floating-point implementation. The purpose is not to give "cookbook recipes" that allow one to implement a given function, but rather to provide the reader with tools necessary to build or adapt algorithms for their specific computing environment. This expanded second edition contains a number of revisions and additions, which incorporate numerous new results obtained... more...









