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#### Approximation Problems in Analysis and Probability

Elsevier Science 2011; US$ 240.00This is an exposition of some special results on analytic or C ? -approximation of functions in the strong sense, in finite- and infinite-dimensional spaces. It starts with H. Whitney's theorem on strong approximation by analytic functions in finite-dimensional spaces and ends with some recent results by the author on strong C ? -approximation of functions... more...

#### Geometric Measure Theory

Elsevier Science 2014; US$ 72.95Geometric measure theory is the mathematical framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. Morgan emphasizes geometry over proofs and technicalities, and includes a bibliography and abundant illustrations and examples. This Second Edition features a new chapter on soap... more...

#### Theory of Uniform Approximation of Functions by Polynomials

De Gruyter 2008; US$ 126.00A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. The topics include Chebychev theory, Weierstraß theorems, smoothness of functions, and continuation of functions. more...

#### Ergodic Theorems

De Gruyter 1985; US$ 210.00Ergodic Theorems (De Gruyter Studies in Mathematics). more...

#### Young Measures and Compactness in Measure Spaces

De Gruyter 2012; US$ 182.00Many problems in science can be formulated in the language of optimization theory, in which case an optimal solution or the best response to a particular situation is required. In situations of interest, such classical optimal solutions are lacking, or at least, the existence of such solutions is far from easy to prove. So, non-convex optimization... more...

#### Les "Arithmétiques" de Diophante

De Gruyter 2013; US$ 210.00Until recently, only six of thirteen books comprising Diophantus? Arithmetica were known to us. Four other books in an Arabic translation have been discovered recently. We can now understand the organization of this work and its long-lasting impact on mathematics. The present book offers the first historical and mathematical study of the work as it... more...

#### Eutocius d?Ascalon

De Gruyter 2014; US$ 137.00Eutocius of Ascalon (4th cent. AD) accompanied his edition of the first four books of Apollonius of Perga's Konika with a commentary. His work is relevant to the history of conic sections and important for the textual transmission of Apollonius. This new critical edition contains the first translation into a modern language and complements the Graeco-Arabic... more...

#### The Crest of the Peacock

Princeton University Press 2010; US$ 37.50From the Ishango Bone of central Africa and the Inca quipu of South America to the dawn of modern mathematics, The Crest of the Peacock makes it clear that human beings everywhere have been capable of advanced and innovative mathematical thinking. George Gheverghese Joseph takes us on a breathtaking multicultural tour of the roots and shoots of... more...

#### Approximation of Set-Valued Functions

World Scientific Publishing Company 2014; US$ 101.00This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values. The interest in set-valued functions is rather new. Such functions arise in various modern areas such as control theory, dynamical systems and optimization. The authors' motivation also comes from the newer field of geometric modeling,... more...

#### Iterated Integrals And Cycles On Algebraic Manifolds

World Scientific Publishing Company 2004; US$ 112.00This subject has been of great interest both to topologists and to number theorists. The first part of this book describes some of the work of Kuo-Tsai Chen on iterated integrals and the fundamental group of a manifold. The author attempts to make his exposition accessible to beginning graduate students. He then proceeds to apply Chen's constructions... more...