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#### Multi-parameter Singular Integrals. (AM-189)

Princeton University Press 2014; US$ 75.00This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main... 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...

#### Trees and Hills

Elsevier Science 2011; US$ 240.00Trees and Hills: Methodology for Maximizing Functions of Systems of Linear Relations more...

#### Approximation Problems in Analysis and Probability

Elsevier Science 2011; US$ 235.00This 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...

#### Measure and Integration

Wiley 2009; US$ 108.00A uniquely accessible book for general measure and integration, emphasizing the real line, Euclidean space, and the underlying role of translation in real analysis Measure and Integration: A Concise Introduction to Real Analysis presents the basic concepts and methods that are important for successfully reading and understanding proofs. Blending... 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...

#### Integral and Measure

Wiley 2014; US$ 130.00This book is devoted to integration, one of the two main operations in calculus. In Part 1, the definition of the integral of a one-variable function is different (not essentially, but rather methodically) from traditional definitions of Riemann or Lebesgue integrals. Such an approach allows us, on the one hand, to quickly develop the practical... more...

#### Ancient Mathematics

Taylor and Francis 2005; US$ 45.95The theorem of Pythagoras, Euclid's "Elements", Archimedes' method to find the volume of a sphere: all parts of the invaluable legacy of ancient mathematics. But ancient mathematics was also about counting and measuring, surveying land and attributing mystical significance to the number six. This volume offers the first accessible survey of the discipline... 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...

#### Variational Analysis and Generalized Differentiation

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 129.00Contains a comprehensive study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces and presents numerous applications to problems in optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, and more. more...