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by John Mandel (Author)The increasing importance in laboratory situations of minutely precise measurements presents the chemist and physicist with numerous problems in data analysis. National Bureau of Standards statistics consultant John Mandel here draws a clear and fascinating blueprint for a systematic science of statistical analysis -- geared to the particular needs of the physical scientist, with approach and examples aimed specifically at the statistical problems he is likely to confro...
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by Robert E. Mosher (Author), Martin C. Tangora (Author)Cohomology operations are at the center of a major area of activity in algebraic topology. This technique for supplementing and enriching the algebraic structure of the cohomology ring has been instrumental to important progress in general homotopy theory and in specific geometric applications. For both theoretical and practical reasons, the formal properties of families of operations have received extensive analysis.This text focuses on...
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by Palle E. T. Jorgensen (Author), William Klink (Foreword by)Algebras of operators arise frequently in the study of representations of Lie groups, both finite-dimensional and infinite-dimensional. This book begins with extensive background material that covers definitions and terminology, operators in Hilbert space, and the imprimitivity theorem.Advancing to considerations of the algebras of operators in Hilbert space, the heart of the text examines domains of representations, operators in t...
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by Allan Clark (Author), Mathematics (Author)This concise, readable, college-level text treats basic abstract algebra in remarkable depth and detail. An antidote to the usual surveys of structure, the book presents group theory, Galois theory, and classical ideal theory in a framework emphasizing proof of important theorems.Chapter I (Set Theory) covers the basics of sets. Chapter II (Group Theory) is a rigorous introduction to groups. It contains all the results needed for Galois theory as w...
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by Pierre Samuel (Author)Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studies of algebraic number theory by encountering many concepts fundamental to other branches of mathematics -- algebraic geometry, in particular.This book assumes a knowledge ...
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by George Neville Watson (Author)This brief monograph by one of the great mathematicians of the early 20th century offers a single-volume compilation of propositions employed in proofs of Cauchy''s theorem. Developing an arithmetical basis that avoids geometrical intuitions, Watson also provides a brief account of the various applications of the theorem to the evaluation of definite integrals. 1914 edition.Author BiographyEnglish mathematician George Neville Watson (1886-1965) was a Fellow of...
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by T. J. Willmore (Author)A solid introduction to the methods of differential geometry and tensor calculus, this volume is suitable for advanced undergraduate and graduate students of mathematics, physics, and engineering. Rather than a comprehensive account, it offers an introduction to the essential ideas and methods of differential geometry.Part 1 begins by employing vector methods to explore the classical theory of curves and surfaces. An introduction to the differential geometry of surfa...
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by J. W. S. Cassels (Author)This exploration of quadratic forms over rational numbers and rational integers offers an excellent elementary introduction to many aspects of a classical subject, including recent developments. The author, a Professor Emeritus at Trinity College, University of Cambridge, offers a largely self-contained treatment that develops most of the prerequisites.Topics include the theory of quadratic forms over local fields, forms with integral coefficients, genera and spino...
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by J. Ray Hanna (Author), John H. Rowland (Author)This introduction to Fourier and transform methods emphasizes basic techniques rather than theoretical concepts. It explains the essentials of the Fourier method and presents detailed considerations of modeling and solutions of physical problems. All solutions feature well-drawn outlines that allow students to follow an appropriate sequence of steps, and many of the exercises include answers.The chief focus of this text is the application of t...
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by Miroslav Fiedler (Author)This revised and corrected second edition of a classic book on special matrices provides researchers in numerical linear algebra and students of general computational mathematics with an essential reference.Author Miroslav Fiedler, a Professor at the Institute of Computer Science of the Academy of Sciences of the Czech Republic, Prague, begins with definitions of basic concepts of the theory of matrices and fundamental theorems. In subsequent chapters, he explores ...
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by F. G. Tricomi (Author)This classic text on integral equations by the late Professor F. G. Tricomi, of the Mathematics Faculty of the University of Turin, Italy, presents an authoritative, well-written treatment of the subject at the graduate or advanced undergraduate level. To render the book accessible to as wide an audience as possible, the author has kept the mathematical knowledge required on the part of the reader to a minimum; a solid foundation in differential and integral calculus,...
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by Paul Alexandroff (Author), Hazel Perfect (Translator), G. M. Petersen (Translator)This introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates, developing material of fundamental importance in a clear and rigorous fashion. The treatment is also useful as a review for more advanced students with some background in group theory. Beginning with introductory examples of the group concept, the text advances to considerations of groups...
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by T. Nishizeki (Author), N. Chiba (Author)This text features most of the important theorems and algorithms for planar graphs. Suitable as a textbook, it is also useful for researchers and includes an extensive reference section. 1988 edition. Number of Pages: 242 Dimensions: 0.51 x 8.52 x 5.45 IN Illustrated: Yes Publication Date: June 11, 2008
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by Brian F. Doolin (Author), Clyde F. Martin (Author)This book acquaints engineers with the basic concepts and terminology of modern global differential geometry. It introduces the Lie theory of differential equations and examines the role of Grassmannians in control systems analysis. Additional topics include the fundamental notions of manifolds, tangent spaces, and vector fields. 1990 edition.Author BiographyBrian F. Doolin (1925-2009) was an engineer with NASA as well as Lockheed. At NASA ...
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by Yiannis N. Moschovakis (Author)Well-written research monograph, recommended for students and professionals interested in model theory and definability theory. "Easy to use and a pleasure to read." - Bulletin of the American Mathematical Society. 1974 edition. Number of Pages: 218 Dimensions: 0.47 x 8.51 x 5.46 IN Illustrated: Yes Publication Date: June 11, 2008
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by H. R. Pitt (Author)This text provides undergraduate mathematics students with an introduction to the modern theory of probability as well as the roots of the theory's mathematical ideas and techniques. Centered around the concept of measure and integration, the treatment is applicable to other branches of analysis and explores more specialized topics, including convergence theorems and random sequences and functions.The initial part is devoted to an exploration of measure and integration f...
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by Walter a. Shewhart (Author)The 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 the Graduate School of the Department of Agriculture in 1938, Dr. Shewhart illuminated the fundamental principles and techniques basic to the efficient use of stat...
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by Raymond L. Wilder (Author), Mathematics (Author)This classic undergraduate text acquaints students with the fundamental concepts and methods of mathematics. In addition to introducing many historical figures from the 18th through the mid-20th centuries, it examines the axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and other topics. 1965 second edition.Author BiographyRaymond L. Wilder (1896-1982) was Professor of Mathematics at the U...
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by Herman Chernoff (Author), Lincoln E. Moses (Author), Moses (Author)Beginners will find this well-respected introduction to statistics and statistical theory a motivating introduction to important mathematical notions such as set, function, and convexity. Other topics include data processing, probability, and random variables, models, testing hypotheses, and much more. Clearly written, brief, well-indexed, and abundantly equipped with exercise material. 1959 edition.Author BiographyHerman C...
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by Gregory H. Moore (Author)The Axiom of Choice is the most controversial axiom in the entire history of mathematics. Yet it remains a crucial assumption not only in set theory but equally in modern algebra, analysis, mathematical logic, and topology (often under the name Zorn's Lemma). This treatment is the only full-length history of the axiom in English, and is much more complete than the two other books on the subject, one in French and the other in Russian. This book covers the Axiom's p...
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by John Horvath (Author)The most readable introduction to the theory of vector spaces available in English and possibly any other language.--J. L. B. Cooper, MathSciNet ReviewMathematically rigorous but user-friendly, this classic treatise discusses major modern contributions to the field of topological vector spaces. The self-contained treatment includes complete proofs for all necessary results from algebra and topology. Suitable for undergraduate mathematics majors with a background in adv...
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by Samuel Goldberg (Author)Excellent 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 departments offering a first course in probability. 360 illustrative problems with answers for half. Only high school algebra needed. Cha...
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by Robert Dorfman (Author), Paul A. Samuelson (Author), Robert M. Solow (Author)Designed 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 the late 1950s.Linear programming has been one of the most important postwar developments in economi...
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by Kelvin Lancaster (Author)An 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 and careful presentation of a variety of techniques of economic analysis, the book is divided into two parts: chapters on mathematical economics (i.e. economic models ...
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by Allen A. Goldstein (Author)This text introduces the methods of applied functional analysis and applied convexity. Suitable for advanced undergraduates and graduate students of mathematics, science, and technology, it focuses on the solutions to two closely related problems. The first concerns finding roots of systems of equations and operative equations in a given region. The second involves extremal problems of minimizing or maximizing functions defined on subsets of finite and infinite d...
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by J. A. Schouten (Author)This 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 mathematical theory underlying the use of tensors. The tensor algebra in EN and RN is developed in Chapters I and II. Chapter II introduces a sub-group of the affine group, ...
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by A. M. Yaglom (Author), I. M. Yaglom (Author)Designed for advanced high school students, undergraduates, graduate students, mathematics teachers, and any lover of mathematical challenges, this two-volume set offers a broad spectrum of challenging problems -- ranging from relatively simple to extremely difficult. Indeed, some rank among the finest achievements of outstanding mathematicians.Translated from a well-known Russian work entitled Non-Elementary Problems in an Elementary Exposition,...
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by A. M. Yaglom (Author), I. M. Yaglom (Author)Designed for advanced high school students, undergraduates, graduate students, mathematics teachers, and any lover of mathematical challenges, this two-volume set offers a broad spectrum of challenging problems -- ranging from relatively simple to extremely difficult. Indeed, some rank among the finest achievements of outstanding mathematicians.Translated from a well-known Russian work entitled Non-Elementary Problems in an Elementary Exposition,...
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by John Warren Dettman (Author), Dettman (Author), Engineering (Author)Intended for college-level physics, engineering, or mathematics students, this volume offers an algebraically based approach to various topics in applied math. It is accessible to undergraduates with a good course in calculus which includes infinite series and uniform convergence. Exercises follow each chapter to test the student's grasp of the material; however, the author has also included exercises that extend the resul...
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by Sergio Albeverio (Author), Jens Erik Fenstad (Author), Raphael Hoegh-Krohn (Author)Two-part treatment begins with a self-contained introduction to the subject, followed by applications to stochastic analysis and mathematical physics. "A welcome addition." - Bulletin of the American Mathematical Society. 1986 edition.Author BiographySergio Albeverio is an award-winning mathematical physicist who taught in universities all over the world. Jens Erik Fenstad is a mathematician who taught at th...
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by J. Barkley Jr. Rosser (Author), Mathematics (Author)Examination of essential topics and theorems assumes no background in logic. "Undoubtedly a major addition to the literature of mathematical logic." - Bulletin of the American Mathematical Society. 1978 edition. Number of Pages: 590 Dimensions: 1.2 x 9.1 x 6.1 IN Publication Date: December 18, 2008
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by Richard H. Crowell (Author), Ralph H. Fox (Author)Hailed by the Bulletin of the American Mathematical Society as a very welcome addition to the mathematical literature, this text is appropriate for advanced undergraduates and graduate students. Written by two internationally renowned mathematicians, its accessible treatment requires no previous knowledge of algebraic topology.Starting with basic definitions of knots and knot types, the text proceeds to examinations of fundamental and free ...