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Calculus
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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...
Pocket Book of Integrals and Mathematical Formulasby Ronald J. Tallarida
Taylor & Francis 1999; US$ 24.99Provides a desk-top reference for engineers and scientists seeking essential formulas, concepts, and definitions. This book includes topics that range from pre-calculus to vector analysis and from Fourier transforms to statistics. It also provides information on progressions, especially geometric progressions, and additional topics in statistics. more...
Pocket Book of Integrals and Mathematical Formulasby Ronald J. Tallarida
Taylor & Francis 2008; US$ 24.95Addresses topics such as elementary number theory, exponential decay, kinetics, series, number facts, Fermat's last theorem, and the Golbach conjecture. This book includes applications in calculus, Cartesian and polar curves, algebra, trigonometry, differential equations, Fourier transforms, and statistics. more...
The Integralby Steven G. Krantz
Morgan & Claypool Publishers 2011; US$ 35.00This book treats all of the most commonly used theories of the integral. After motivating the idea of integral, we devote a full chapter to the Riemann integral and the next to the Lebesgue integral. Another chapter compares and contrasts the two theories. The concluding chapter offers brief introductions to the Henstock integral, the Daniell integral, the Stieltjes integral, and other commonly used integrals. The purpose of this book is to provide a quick but accurate (and detailed) introduction to all aspects of modern integration theory. It should be accessible to any student who has had calculus and some exposure to upper division mathematics. Table of Contents: Introduction / The Riemann Integral / The Lebesgue Integral / Comparison of... more...
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