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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General TopologyThe clarity of the author's thought and the carefulness of his exposition make reading this book a pleasure, noted the Bulletin of the American Mathematical Society upon the 1955 publication of John L. Kelley's General Topology. This comprehensive treatment for beginning graduate-level students immediately...
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The Collected Works of Bernhard RiemannThis unabridged text of the complete works of Bernhard Riemann enables German-language readers to examine the great mathematician's revolutionary concepts exactly as he set them down. The collection presents both the 1892 edition of the works, edited by R. Dedekind and H. Weber, and...
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Lectures on Modular FormsThis concise volume presents an expository account of the theory of modular forms and its application to number theory and analysis. Suitable for advanced undergraduates and graduate students in mathematics, the treatment starts with classical material and leads gradually to modern developments. Prerequisites include...
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Solid Analytic GeometryThe first seven chapters of this concise text provide an exposition of the basic topics of solid analytic geometry and comprise the material for a one-semester course on the subject for undergraduate mathematics majors. The remaining two chapters offer additional material for longer courses...
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Elements of Tensor CalculusThis classic introductory text, geared toward undergraduate students of mathematics, is the work of an internationally renowned authority on tensor calculus. The two-part treatment offers a rigorous presentation of tensor calculus as a development of vector analysis as well as discussions of the most...
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Calculus in the First Three DimensionsThis introduction to calculus is designed for beginning college undergraduates majoring in mathematics as well as undergraduates pursuing other areas of science and engineering for whom calculus will be a vital tool. The three-part treatment begins by exploring the core of the calculus, concentrating...
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Attacking Probability and Statistics ProblemsConcise and highly focused, this volume offers everything high school and beginning college students need to know to handle problems in probability and statistics. Numerous rigorously tested examples and coherent, to-the-point explanations are presented in an easy-to-follow format.The treatment is organized in a way...
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Logic: The Theory of Formal InferenceGeared toward college undergraduates new to the subject, this concise introduction to formal logic was written by Alice Ambrose and Morris Lazerowitz, a pair of noted scholars and prolific authors in this field. A preliminary section opens the subject under the heading of truth-functions....
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A First Course in Partial Differential Equations: With Complex Variables and Transform MethodsThis popular text was created for a one-year undergraduate course or beginning graduate course in partial differential equations, including the elementary theory of complex variables. It employs a framework in which the general properties of partial differential equations, such as characteristics, domains of independence,...
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An Introduction to Information TheoryWritten for an engineering audience, this book has a threefold purpose: (1) to present elements of modern probability theory -- discrete, continuous, and stochastic; (2) to present elements of information theory with emphasis on its basic roots in probability theory; and (3) to present...
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Elementary Topology: Second EditionTopology is one of the most rapidly expanding areas of mathematical thought: while its roots are in geometry and analysis, topology now serves as a powerful tool in almost every sphere of mathematical study. This book is intended as a first text in topology,...
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Abstract Analytic Number TheoryThis book is well-written and the bibliography excellent, declared Mathematical Reviews of John Knopfmacher's innovative study. The three-part treatment applies classical analytic number theory to a wide variety of mathematical subjects not usually treated in an arithmetical way. The first part deals with arithmetical...
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Theory and Application of Infinite SeriesThis classic work, written in a clear and interesting style, with many exercises, offers a thorough and reliable treatment of an important branch of higher analysis. It lends itself well to use in course work; however, because of its consistent clear illustrations of theoretical...
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Fourier Series and Orthogonal FunctionsThis incisive text deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fourier method to the solution of boundary-value problems. Directed to advanced undergraduate and graduate students in mathematics as well as in...
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Mathematical EconomicsAn excellent book which should find wide use. -- Mathematics Reviews.In this classic volume, a noted economist and teacher has combined a modern text for graduate courses in mathematical economics with a valuable reference book of analytical economics for professional economists.Unique in its unified...
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Introductory Complex AnalysisIntroductory Complex Analysis is a scaled-down version of A. I. Markushevich's masterly three-volume Theory of Functions of a Complex Variable. Dr. Richard Silverman, the editor and translator of the original, has prepared this shorter version expressly to meet the needs of a one-year graduate...
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Foundations of Potential TheoryIntroduction to fundamentals of potential functions covers the force of gravity, fields of force, potentials, harmonic functions, electric images and Green's function, sequences of harmonic functions, fundamental existence theorems, the logarithmic potential, and much more. Detailed proofs rigorously worked out. 1929 edition.Author: Oliver D....
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Applications of Tensor AnalysisThis standard work applies tensorial methods to subjects within the realm of advanced college mathematics. In its four main divisions, it explains the fundamental ideas and the notation of tensor theory; covers the geometrical treatment of tensor algebra; introduces the theory of the differentiation...
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Asymptotic ExpansionsOriginally prepared for the Office of Naval Research, this important monograph introduces various methods for the asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of asymptotic expansions. Author's preface. Bibliography.Author: A. ErdélyiPublisher: Dover PublicationsPublished: 11/18/2010Pages:...
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Beginning Statistics with Data AnalysisThis introduction to the world of statistics draws examples from a broad range of applications, including business, government, medicine, social sciences, biology, and everyday life. The first four chapters present a brief course in exploratory data analysis. The authors place special emphasis on methods...
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