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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...
Irresistible Integralsby George Boros; Victor Moll
Cambridge University Press 2004; US$ 32.00The authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics, including analysis, number theory, algebra and combinatorics. This will be a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering. more...
Symbolic Integration Iby Manuel Bronstein
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2005; US$ 99.00Symbolic Integration I is destined to become the standard reference work in the field. Manuel Bronstein is a leading expert on this topic and his book is the first to treat the subject both comprehensively and in sufficient detail - incorporating new results along the way. The book addresses mathematicians and computer scientists interested in symbolic computation, developers and programmers of computer algebra systems as well as users of symbolic integration methods. Many algorithms are given in pseudocode ready for immediate implementation, making the book equally suitable as a textbook for lecture courses on symbolic integration.This second edition offers a new chapter on parallel integration, a number of other improvements and a couple... more...
Intégration: Chapitres 1-4 (French Edition)by N. Bourbaki
Springer 2007; US$ 109.00Les �léments de mathématique de Nicolas BOURBAKI ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce premier volume du Livre d Intégration, sixième Livre du traité, est consacré aux fondements de la théorie de l intégration, il comprend les chapitres : Inégalités de convexité ; Espaces de Riesz ; Mesures sur les espaces localement compacts ; Prolongement d une mesure. Espaces Lp. Il contient également une note historique. Ce volume est une réimpression de l édition de 1965. more...
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