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Measures, Integrals and Martingalesby René L. Schilling
Cambridge University Press 2005; US$ 52.00A concise undergraduate introduction to contemporary measure and integration theory as it is needed in many parts of analysis and probability. more...
Unexpected Links Between Egyptian And Babylonian Mathematicsby Jöran Friberg
World Scientific 2005; US$ 83.00Mesopotamian mathematics is known from a great number of cuneiform texts, most of them Old Babylonian, some Late Babylonian or pre-Old-Babylonian, and has been intensively studied during the last couple of decades. In contrast to this Egyptian mathematics is known from only a small number of papyrus texts, and the few books and papers that have been written about Egyptian mathematical papyri have mostly reiterated the same old presentations and interpretations of the texts. In this book, it is shown that the methods developed by the author for the close study of mathematical cuneiform texts can also be successfully applied to all kinds of Egyptian mathematical texts, hieratic, demotic, or Greek-Egyptian. At the same time, comparisons of a large... more...
Radial Basis Functionsby Martin D. Buhmann; P. G. Ciarlet; A. Iserles; R. V. Kohn; M. H. Wright
Cambridge University Press 2003; US$ 42.00Radial basis functions are a modern and powerful tool for parameter estimation, which are becoming of widespread use as the limitations of other methods become apparent. This, the first book devoted to the subject, aims to give a thorough treatment from both the theoretical and practical implementation viewpoints. more...
Theories Of Integrationby Douglas S. Kurtz; Charles W. Swartz
World Scientific 2004; US$ 72.80This book presents a historical development of the integration theories of Riemann, Lebesgue, Henstock?Kurzweil, and McShane, showing how new theories of integration were developed to solve problems that earlier theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. more...
Iterated Integrals And Cycles On Algebraic Manifoldsby Bruno Harris
World Scientific 2004; US$ 57.20This 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 to algebraic geometry, showing how this leads to some results on algebraic cycles and the Abel?Jacobi homomorphism. Finally, he presents a more general point of view relating Chen's integrals to a generalization of the concept of linking numbers, and ends up with a new invariant of homology classes in a projective algebraic manifold. The book is based on a course given by the author at the Nankai... more...
Ancient Mathematicsby Serafina Cuomo
Routledge 2001; US$ 41.95The discoveries and insights of ancient mathematics continue to amaze and fascinate the modern reader. This volume offers the first accessible survey of the discipline in all its variety and diversity of practices. more...
Selected Topics in Approximation and Computationby Marek Kowalski; Christopher Sikorski; Frank Stenger
Oxford University Press 1995; US$ 215.00Selected Topics in Approximation and Computation addresses the relationship between modern approximation theory and computational methods. The text is a combination of expositions of basic classical methods of approximation leading to popular splines and new explicit tools of computation, including Sinc methods, elliptic function methods, and positive operator approximation methods. It also provides an excellent summary of worst case analysis in information based complexity. It relates optimal computational methods with the theory of s-numbers and n-widths. It can serve as a text for senior-graduate courses in computer science and applied mathematics, and also as a reference for professionals. more...
Introduction to the Calculus of Variationsby Bernard Dacorogna
World Scientific 2005; US$ 70.20This book, containing more than 70 exercises with detailed solutions, is well designed for a course both at the undergraduate and graduate levels. more...
Maxwell's Demon 2 Entropy, Classical and Quantum Information, Computingby Harvey Leff
CRC Press 2002; US$ 67.95This second edition brings under one cover 32 reprints, more than half of which are new. A revised overview outlines the flurry of scholarly activity about Maxwell's demon since publication of the first edition. more...
The Works of Archimedes: Volume 1, The Two Books On the Sphere and the Cylinderby Archimedes; Reviel Netz
Cambridge University Press 2004; US$ 35.00This is Volume 1 of the first authoritative translation of Archimedes' works into English. Also provided are a scientific edition of the diagrams, a translation of the ancient commentator Eutocius and a commentary, where attention is paid to the cognitive and aesthetic nature of Archimedes' mathematical practice. more...









