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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Introduction to Algebraic GeometryAuthor Serge Lang defines algebraic geometry as the study of systems of algebraic equations in several variables and of the structure that one can give to the solutions of such equations. The study can be carried out in four ways: analytical, topological, algebraico-geometric, and...
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Representations of the Rotation and Lorentz Groups and Their ApplicationsThis monograph on the description and study of representations of the rotation group of three-dimensional space and of the Lorentz group features advanced topics and techniques crucial to many areas of modern theoretical physics. Prerequisites include a familiarity with the differential and integral calculus...
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Tensor Methods in Statistics: Second EditionA pioneering monograph on tensor methods applied to distributional problems arising in statistics, this work constitutes a valuable reference for graduate students and professional statisticians. Prerequisites include some knowledge of linear algebra, eigenvalue decompositions, and linear models as well as likelihood functions and likelihood...
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Geometric AlgebraThis concise classic presents advanced undergraduates and graduate students in mathematics with an overview of geometric algebra. The text originated with lecture notes from a New York University course taught by Emil Artin, one of the preeminent mathematicians of the twentieth century. The Bulletin...
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Elements of Number TheoryClear, detailed exposition that can be understood by readers with no background in advanced mathematics. More than 200 problems and full solutions, plus 100 numerical exercises. 1949 edition.Author: I. M. VinogradovPublisher: Dover PublicationsPublished: 01/14/2016Pages: 240Binding Type: PaperbackWeight: 0.65lbsSize: 8.40h x 5.40w x 0.70dISBN: 9780486781655About...
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Theory of Linear Operators in Hilbert SpaceThis classic textbook by two mathematicians from the USSR's prestigious Kharkov Mathematics Institute introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators. It is directed to students at graduate...
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Fundamentals of Number TheoryThis excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given -- making the book self-contained...
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Lectures on Ordinary Differential EquationsHailed by The American Mathematical Monthly as a rigorous and lively introduction, this text explores a topic of perennial interest in mathematics. The author, a distinguished mathematician and formulator of the Hurewicz theorem, presents a clear and lucid treatment that emphasizes geometric methods. Topics...
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Linear Programming and Economic AnalysisDesigned primarily for economists and those interested in management economics who are not necessarily accomplished mathematicians, this text offers a clear, concise exposition of the relationship of linear programming to standard economic analysis. The research and writing were supported by The RAND Corporation in...
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Number Theory and Its HistoryA very valuable addition to any mathematical library. -- School Science and MathThis book, written by a prominent mathematician and Sterling Professor of Mathematics at Yale, differs from most other books on number theory in two important ways: first, it presents the principal ideas...
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Probability: An IntroductionExcellent basic text covers set theory, probability theory for finite sample spaces, binomial theorem, probability distributions, means, standard deviations, probability function of binomial distribution, and other key concepts and methods essential to a thorough understanding of probability. Designed for use by math or statistics...
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Statistical Method from the Viewpoint of Quality ControlThe application of statistical methods in mass production make possible the most efficient use of raw materials and manufacturing processes, economical production, and the highest standards of quality for manufactured goods. In this classic volume, based on a series of ground-breaking lectures given to...
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The Absolute Differential Calculus (Calculus of Tensors)Written by a towering figure of twentieth-century mathematics, this classic examines the mathematical background necessary for a grasp of relativity theory. Tullio Levi-Civita provides a thorough treatment of the introductory theories that form the basis for discussions of fundamental quadratic forms and absolute differential...
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A Modern View of GeometryOn the required reading list for all thoughtful students who wish to see mathematics from the 'higher standpoint.' -- American Mathematical MonthlyElegant and original, this exposition explores the foundations and development of both Euclidean and non-Euclidean geometry, particularly the postulational geometry of planes. Emphasis...
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Solved Problems in Analysis: As Applied to Gamma, Beta, Legendre and Bessel FunctionsNearly 200 problems, each with a detailed, worked-out solution, deal with the properties and applications of the gamma and beta functions, Legendre polynomials, and Bessel functions. The first two chapters examine gamma and beta functions, including applications to certain geometrical and physical problems such...
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Complex Variables for Scientists and EngineersThis outstanding text for undergraduate students of science and engineering requires only a standard course in elementary calculus. Designed to provide a thorough understanding of fundamental concepts and create the basis for higher-level courses, the treatment features numerous examples and extensive exercise sections of...
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Modern Methods in Partial Differential EquationsUpon its initial 1977 publication, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Requiring only some familiarity with advanced calculus and rudimentary complex function theory, it covered discoveries of the previous three decades, a...
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Fractional Graph Theory: A Rational Approach to the Theory of GraphsThis volume explores the various ways in which integer-valued graph theory concepts can be modified to derive nonintegral values. It explains the general theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics, including fractional matching, fractional coloring, fractional edge coloring, fractional...
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Fearful Symmetry: Is God a Geometer?This fascinating study explores a fundamental paradox behind the patterns of the natural world, in which symmetrical causes lead to asymmetrical effects. Lesser and greater patterns--the structure of subatomic particles, a tiger's stripes, the shapes of clouds, and the vibrations of the stars--are produced...
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Undergraduate TopologyGeneral topology offers a valuable tool to students of mathematics, particularly in courses involving complex, real, and functional analysis. This introductory treatment is essentially self-contained, and it features explanations and proofs that relate to every practical aspect of point-set topology. It will prove valuable...
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