Mathematics
Discover top mathematics books, including the best textbooks, workbooks, and advanced engineering mathematics guides. Find essential mathematics dictionaries and the best books to learn math.
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Applied Nonstandard AnalysisGeared toward upper-level undergraduates and graduate students, this text explores the applications of nonstandard analysis without assuming any knowledge of mathematical logic. It develops the key techniques of nonstandard analysis at the outset from a single, powerful construction; then, beginning with a nonstandard construction...
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Indra's Pearls: The Vision of Felix KleinFelix Klein, a great geometer of the nineteenth century, rediscovered an idea from Hindu mythology in mathematics: the heaven of Indra in which the whole Universe was mirrored in each pearl in a net of pearls. Practically impossible to represent by hand, this idea...
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Marvelous Multiplication: Games and Activities That Make Math Easy and FunDon't Just Learn Multiplication...Master It Brimming with fun and educational games and activities, the Magical Math series provides everything you need to know to become a master of mathematics In each of these books, Lynette Long uses her own unique style to help you...
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The Universal Computer: The Road from Leibnitz to TuringComputers are everywhere today--at work, in the bank, in artist's studios, sometimes even in our pockets--yet they remain to many of us objects of irreducible mystery. How can today's computers perform such a bewildering variety of tasks if computing is just glorified arithmetic? The...
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Chebyshev and Fourier Spectral MethodsCompletely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded...
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Asymptotic Expansions of IntegralsAsymptotic analysis, that branch of mathematics devoted to the study of the behavior of functions within chosen limits, was once thought of more as a specialized art than a necessary discipline. Now, a solid foundation in the theory and technique of asymptotic expansion of...
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Thomas Harriot: A Life in ScienceAs Robyn Arianrhod shows in this new biography, the most complete to date, Thomas Harriot was a pioneer in both the figurative and literal sense. Navigational adviser and loyal friend to Sir Walter Ralegh, Harriot--whose life was almost exactly contemporaneous to Shakespeare's--took part in...
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Foundations of Measurement Volume I: Additive and Polynomial Representationsvolume 1All of the sciences -- physical, biological, and social -- have a need for quantitative measurement. This influential series, Foundations of Measurement, established the formal foundations for measurement, justifying the assignment of numbers to objects in terms of their structural correspondence.Volume I introduces the...
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Undergraduate Algebraic GeometryAlgebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. With the minimum of prerequisites, Dr. Reid introduces the reader to the basic concepts of algebraic geometry, including: plane conics, cubics and the group law,...
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The European Mathematical Awakening: A Journey Through the History of Mathematics, 1000-1800Absorbing and entertaining, these thirty-two articles by distinguished educators offer a reader-friendly introduction to the history of mathematics. The newly corrected and updated essays cover eight centuries of discoveries, ranging from the medieval practice of finger calculus to the pioneering work of Leonhard Euler.Fascinating...
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Finite-Dimensional Linear Analysis: A Systematic Presentation in Problem FormA sequence of 2,400 propositions and problems features only hints. Suitable for advanced undergraduates and graduate students, this unique approach encourages students to work out their own proofs. 1974 edition.Author: I. M. Glazman, Ju I. LjubicPublisher: Dover PublicationsPublished: 09/15/2006Pages: 520Binding Type: PaperbackWeight: 1.27lbsSize: 8.60h...
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Euclidean Geometry and TransformationsA good textbook. ― Mathematical Gazette. This introduction to Euclidean geometry emphasizes both the theory and the practical application of isometries and similarities to geometric transformations. Each chapter begins with an optional commentary on the history of geometry. Contents include modern elementary geometry, isometries...
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An Introduction to Information Theory: Symbols, Signals and NoiseUncommonly good...the most satisfying discussion to be found. -- Scientific American.Behind the familiar surfaces of the telephone, radio, and television lies a sophisticated and intriguing body of knowledge known as information theory. This is the theory that has permitted the rapid development of all...
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The Fourth Dimension Simply ExplainedTo remove the contents of an egg without puncturing its shell or to drink the liquor in a bottle without removing the cork is clearly unthinkable -- or is it? Understanding the world of Einstein and curved space requires a logical conception of the...
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Fundamental Concepts of AlgebraThis uncommonly interesting volume has been a favorite for 30 years, and is now available for the first time in a modestly priced paperback edition. Beginning with the fundamentals of numbers and sets, the author clearly guides the reader through the often discouraging complexities...
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Elementary Theory of NumbersThis superb text introduces number theory to readers with limited formal mathematical training. Intended for use in freshman- and sophomore-level courses in arts and science curricula, in teacher-training programs, and in enrichment programs for high-school students, it is filled with simple problems to stimulate...
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Introduction to Combinatorial AnalysisThis introduction to combinatorial analysis defines the subject as the number of ways there are of doing some well-defined operation. Chapter 1 surveys that part of the theory of permutations and combinations that finds a place in books on elementary algebra, which leads to...
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Tensor Analysis for Physicists, Second EditionThis brilliant study by a famed mathematical scholar and former professor of mathematics at the University of Amsterdam integrates a concise exposition of the mathematical basis of tensor analysis with admirably chosen physical examples of the theory.The first five chapters incisively set out the...
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Quantitative Risk Management: Concepts, Techniques and Tools - Revised EditionThis book provides the most comprehensive treatment of the theoretical concepts and modelling techniques of quantitative risk management. Whether you are a financial risk analyst, actuary, regulator or student of quantitative finance, Quantitative Risk Management gives you the practical tools you need to solve...
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Introduction to Partial Differential Equations with ApplicationsThis book has been widely acclaimed for its clear, cogent presentation of the theory of partial differential equations, and the incisive application of its principal topics to commonly encountered problems in the physical sciences and engineering. It was developed and tested at Purdue University...
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