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Discrete Calculus: Applied Analysis on Graphs for Computational Science Publisher: Springer 2010 PDF 377 pages ISBN: 8.2Mb The field of discrete calculus, also known as “discrete exterior calculus”, focuses on finding a proper set of definitions and differential operators that make it possible to operate the machinery of multivariate calculus on a finite, discrete space. In contrast to traditional goals of finding an accurate discretization of conventional multivariate calculus, discrete calculus establishes a separate, equivalent calculus that operates purely in the discrete space without any reference to an underlying continuous process.
This unique text brings together into a single framework current research in the three areas of discrete calculus, complex networks, and algorithmic content extraction. Although there have been a few intersections in the literature between these disciplines, they have developed largely independently of one another, yet researchers working in any one of these three areas can strongly benefit from the tools and techniques being used in the others. Calculus Made Easy Calculus Made Easy 2000 ISBN: 1998 336 pages PDF 7 MB ' Calculus Made Easy' is arguably the best math teaching ever. To a non-mathematician, its simplicity and clarity reveals the mathematical genius of Newton, Leibniz, and Thompson himself. Martin Gardner deserves huge thanks for renewing this great book.' --'Julian Simon, author of Population Matters' 'A remarkable and user-friendly approach to the study of calculus, made even more so by Martin Gardner, the most highly acclaimed mathematical expositor of our time.' Graham, Chief Scientist, AT&T Labs, and author of' Concrete Mathematics'.
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Lectures on Differential Geometry (Series on University Mathematics) World Scientific Publishing Company 2000-03-15 ISBN: 250 pages PDF 11 MB This book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, Professor S S Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen, was a unique contribution to the mathematics literature, combining simplicity and economy of approach with depth of contents. The present translation is aimed at a wide audience, including (but not limited to) advanced undergraduate and graduate students in mathematics, as well as physicists interested in the diverse applications of differential geometry to physics. Mathematics; Short Questions and Answers Asian Books Pvt.
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Ltd 2005 ISBN: 458 pages PDF 13 MB This book titled U. Mathematics (Short Questions and Answers) has been written for the students of B.A., B.Sc. General course for all Indian Universities.
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1979 edition. Mathematical Methods and Models for Economists English 848 pages ISBN-10: PDF 37.65 MB This book is intended as a textbook for a first-year Ph. Course in mathematics for economists and as a reference for graduate students in economics. It provides a self-contained, rigorous treatment of most of the concepts and techniques required to follow the standard first-year theory sequence in micro and macroeconomics. The topics covered include an introduction to analysis in metric spaces, differential calculus, comparative statics, convexity, static optimization, dynamical systems and dynamic optimization. The book includes a large number of applications to standard economic models and over two hundred fully worked-out problems.