Collection:
Mathematics
10969 books
Optimization Theory for Large Systems - Paperback
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by Leon S. Lasdon (Author), Mathematics (Author)Important text examines most significant algorithms for optimizing large systems and clarifying relations between optimization procedures. Much data appear as charts and graphs and will be highly valuable to readers in selecting a method and estimating computer time and cost in problem-solving. Initial chapter on linear and nonlinear programming presents all necessary background for subjects covered in rest of book. Second chapter illustrates ho...
Basic Set Theory - Paperback
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by Azriel Levy (Author)Although this book deals with basic set theory (in general, it stops short of areas where model-theoretic methods are used) on a rather advanced level, it does it at an unhurried pace. This enables the author to pay close attention to interesting and important aspects of the topic that might otherwise be skipped over. Written for upper-level undergraduate and graduate students, the book is divided into two parts. The first covers pure set theory, including the basic not...
Fourier Series and Orthogonal Polynomials - Paperback
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by Dunham Jackson (Author)This text illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Begins with a definition and explanation of the elements of Fourier series, and examines Legendre polynomials and Bessel functions. Also includes Pearson frequency functions and chapters on orthogonal, Jacobi, Hermite, and Laguerre polynomials, more. 1941 edition.
Number of Pages: 234
Dimensions: 0.51 x 8.52 x 5.46 IN
Illustrated: Yes
P...
Variational Principles - Paperback
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by B. L. Moiseiwitsch (Author)This graduate-level text's primary objective is to demonstrate the expression of the equations of the various branches of mathematical physics in the succinct and elegant form of variational principles (and thereby illuminate their interrelationship). Its related intentions are to show how variational principles may be employed to determine the discrete eigenvalues for stationary state problems and to illustrate how to find the values of quantities (such as the p...
History of Analytic Geometry - Paperback
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by Carl B. Boyer (Author)Specifically designed as an integrated survey of the development of analytic geometry, this classic study takes a unique approach to the history of ideas. The author, a distinguished historian of mathematics, presents a detailed view of not only the concepts themselves, but also the ways in which they extended the work of each generation, from before the Alexandrian Age through the eras of the great French mathematicians Fermat and Descartes, and on through Newton and...
The Origins of Cauchy's Rigorous Calculus - Paperback
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by Judith V. Grabiner (Author)This text for upper-level undergraduates and graduate students examines the events that led to a 19th-century intellectual revolution: the reinterpretation of the calculus undertaken by Augustin-Louis Cauchy and his peers. These intellectuals transformed the uses of calculus from problem-solving methods into a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. Beginning with a survey of the characteristic 19th-centur...
Lie Groups for Pedestrians - Paperback
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by Harry J. Lipkin (Author)According to the author of this concise, high-level study, physicists often shy away from group theory, perhaps because they are unsure which parts of the subject belong to the physicist and which belong to the mathematician. However, it is possible for physicists to understand and use many techniques which have a group theoretical basis without necessarily understanding all of group theory. This book is designed to familiarize physicists with those techniques. Spec...
Partial Differential Equations: An Introduction - Paperback
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by David L. Colton (Author)This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Features coverage of integral equations and basic scattering theory. Includes exercises, many with answers. 1988 edition.
Number of Pages: 308
Dimensions: 0.6 x 9.14 x 6.1 IN
Illustrated: Yes
Publication Date: November 30, 2004
Applied Exterior Calculus - Paperback
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by Dominic G. B. Edelen (Author)Everything from basics of exterior calculus to applied exterior calculus, including classical and irreversible thermodynamics, electrodynamics, and modern theory of gauge fields. ""Essential."" - SciTech Book News. 1985 edition.Author BiographyDominic G. B. Edelen (1933-2010) was Professor of Applied Mathematics at Lehigh University in Pennsylvania.
Number of Pages: 505
Dimensions: 1.06 x 9.16 x 6.42 IN
Illustrated: Yes
Publication Date: December 14, 2011
Reliability Theory and Practice - Paperback
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by Igor Bazovsky (Author)Written by a pioneer in the development of reliability methods, this text applies statistical mathematics to the analysis of electrical, mechanical, and other systems employed in airborne, missile, and ground equipment. Geared toward upper-level undergraduate and graduate students, it is also a valuable reference for professionals. 1961 edition.
Number of Pages: 292
Dimensions: 0.62 x 8.5 x 6.12 IN
Illustrated: Yes
Publication Date: October 01, 2004
The Fourth Dimension Simply Explained - Paperback
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by Henry P. Manning (Author), Thomas F. Banchoff (Introduction by)To 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 fourth dimension.This readable, informative volume provides an excellent introduction to that world, with 22 essays that employ a minimum of mathematics. Originally written for a con...
Mathematical Foundations for Design: Civil Engineering Systems - Paperback
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by Robert M. Stark (Author), Robert L. Nicholls (Author)Typical mathematical techniques of operations research and systems engineering are developed in this text, which applies these methods to the design and operation of civil engineering systems. Its problem-solving examples ― many adapted from the research literature ― span a cross-section of applications in transportation design, traffic control, water resource design and operation, structural design, and construction management. An intro...
Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory - Paperback
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by D. E. Rutherford (Author)Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. A chapter on differential geometry introduces readers to the study of this subject by the methods of vector algebra. The next section explores the many aspects of the theory of mechanics adaptable to the us...
Combinatorics of Finite Sets - Paperback
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by Ian Anderson (Author)Coherent treatment provides comprehensive view of basic methods and results of the combinatorial study of finite set systems. The Clements-Lindstrom extension of the Kruskal-Katona theorem to multisets is explored, as is the Greene-Kleitman result concerning k-saturated chain partitions of general partially ordered sets. Connections with Dilworth's theorem, the marriage problem, and probability are also discussed. Each chapter ends with a helpful series of exercises an...
Cartesian Tensors: An Introduction - Paperback
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by G. Temple (Author)This undergraduate text provides an introduction to the theory of Cartesian tensors, defining tensors as multilinear functions of direction, and simplifying many theorems in a manner that lends unity to the subject. The author notes the importance of the analysis of the structure of tensors in terms of spectral sets of projection operators as part of the very substance of quantum theory. He therefore provides an elementary discussion of the subject, in addition to a view ...
A Mathematical History of the Golden Number - Paperback
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by Roger Herz-Fischler (Author), Mathematics (Author)This comprehensive study traces the historic development of division in extreme and mean ratio (""the golden number"") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations.
Number of Pages: 216
Dimensions: 0.45 x 11.2 x 8.28 IN
Illustrated: Yes
Publication Date: January 29, 1998
Mathematical Theory of Compressible Fluid Flow - Paperback
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by Richard Von Mises (Author)A pioneer in the fields of statistics and probability theory, Richard von Mises (1883-1953) made notable advances in boundary-layer-flow theory and airfoil design. This text on compressible flow, unfinished upon his sudden death, was subsequently completed in accordance with his plans, and von Mises' first three chapters were augmented with a survey of the theory of steady plane flow. Suitable as a text for advanced undergraduate and graduate students -- as well a...
A Short Course in Discrete Mathematics - Paperback
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by Edward A. Bender (Author), S. Gill Williamson (Author)What sort of mathematics do I need for computer science? In response to this frequently asked question, a pair of professors at the University of California at San Diego created this text. Its sources are two of the university's most basic courses: Discrete Mathematics, and Mathematics for Algorithm and System Analysis. Intended for use by sophomores in the first of a two-quarter sequence, the text assumes some familiarity with calculus...
Algebra - Paperback
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by Larry C. Grove (Author)This graduate-level text is intended for initial courses in algebra that begin with first principles but proceed at a faster pace than undergraduate-level courses. It employs presentations and proofs that are accessible to students, and it provides numerous concrete examples.Exercises appear throughout the text, clarifying concepts as they arise; additional exercises, varying widely in difficulty, are included at the ends of the chapters. Subjects include groups, rin...
Methods of Mathematics Applied to Calculus, Probability, and Statistics - Paperback
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by R. W. Hamming (Author)Understanding calculus is vital to the creative applications of mathematics in numerous areas. This text focuses on the most widely used applications of mathematical methods, including those related to other important fields such as probability and statistics. The four-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. In addition to three helpful...
Mathematical Methods for Physicists and Engineers: Second Corrected Edition - Paperback
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by Royal Eugene Collins (Author), Physics (Author)This practical, highly readable text provides physics and engineering students with the essential mathematical tools for thorough comprehension of their disciplines. Featuring all the necessary topics in applied mathematics in the form of programmed instruction, the text can be understood by advanced undergraduates and beginning graduate students without any assistance from the instructor. Topics include elementary vector calculus, matrix alge...
Ruler and the Round: Classic Problems in Geometric Constructions - Paperback
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by Nicholas D. Kazarinoff (Author)An intriguing look at the ""impossible"" geometric constructions (those that defy completion with just a ruler and a compass), this book covers angle trisection and circle division. 1970 edition.
Number of Pages: 160
Dimensions: 0.32 x 9.22 x 1.49 IN
Illustrated: Yes
Publication Date: October 20, 2011
Understanding Infinity: The Mathematics of Infinite Processes - Paperback
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by A. Gardiner (Author), Mathematics (Author)Conceived by the author as an introduction to "why the calculus works" (otherwise known as "analysis"), this volume represents a critical reexamination of the infinite processes encountered in elementary mathematics. Part I presents a broad description of the coming parts, and Part II offers a detailed examination of the infinite processes arising in the realm of number--rational and irrational numbers and their representation as infinite decimals....
Introduction to Mathematical Biology - Paperback
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by S. I. Rubinow (Author)Designed to explore the applications of mathematical techniques and methods related to biology, this text explores five areas: cell growth, enzymatic reactions, physiological tracers, biological fluid dynamics and diffusion. Topics essentially follow a course in elementary differential equations - some linear algebra and graph theory; requires only a knowledge of elementary calculus.
Number of Pages: 416
Dimensions: 0.81 x 8.44 x 5.52 IN
Publication Date: January 13, ...
Mathematical Logic - Paperback
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by Stephen Kleene (Author), Mathematics (Author)Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text. It begins with an elementary but thorough overview of mathematical logic of first order. The treatment extends beyond a single method of formulating logic to offer instruction in a variety of techniques: model theory (truth tables), Hilbert-type proof theory, and proof theory handled through derived rules.The second ...
Introduction to Combinatorial Analysis - Paperback
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by John Riordan (Author)This 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 the extended treatment of generation functions in Chapter 2, where an important result is the introduction of a set of multivariable polynomials.Chapter 3 contains an extended treatment of the princ...
The Convolution Transform - Paperback
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by Isidore Isaac Hirschman (Author), David V. Widder (Author)In studies of general operators of the same nature, general convolution transforms are immediately encountered as the objects of inversion. The relation between differential operators and integral transforms is the basic theme of this work, which is geared toward upper-level undergraduates and graduate students. It may be read easily by anyone with a working knowledge of real and complex variable theory. Topics include the finite an...
Introduction to Tensor Calculus, Relativity and Cosmology - Paperback
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by D. F. Lawden (Author)This elementary introduction pays special attention to aspects of tensor calculus and relativity that students tend to find most difficult. Its use of relatively unsophisticated mathematics in the early chapters allows readers to develop their confidence within the framework of Cartesian coordinates before undertaking the theory of tensors in curved spaces and its application to general relativity theory.Topics include the special principle of relativity and Lorentz tr...
Topics in Number Theory, Volumes I and II - Paperback
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by William Judson Leveque (Author), William J. Leveque (Author), Mathematics (Author)Classic 2-part work now available in a single volume. Volume I is a suitable text for advanced undergraduates and beginning graduate students. Volume II requires a much higher level of mathematical maturity, with contents ranging from binary quadratic forms to rational number theory. Problems and hints for solutions. 1956 edition. Supplementary Reading. List of Symbols. Index.
Number of Pages: 496
Dimensions:...
The Skeleton Key of Mathematics: A Simple Account of Complex Algebraic Theories - Paperback
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by D. E. Littlewood (Author)As the title promises, this helpful volume offers easy access to the abstract principles common to science and mathematics. It eschews technical terms and omits troublesome details in favor of straightforward explanations that will allow scientists to read papers in branches of science other than their own, mathematicians to appreciate papers on topics on which they have no specialized knowledge, and other readers to cultivate an improved understanding of subjects ...
Lambda-Matrices and Vibrating Systems - Paperback
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by Peter Lancaster (Author), Mathematics (Author)Features aspects and solutions of problems of linear vibrating systems with a finite number of degrees of freedom. Starts with development of necessary tools in matrix theory, followed by numerical procedures for relevant matrix formulations and relevant theory of differential equations. Minimum of mathematical abstraction; assumes a familiarity with matrix theory, elementary calculus. 1966 edition.
Number of Pages: 224
Dimensions: 0.47 x 8.56 ...
Applied Nonstandard Analysis - Paperback
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by Martin Davis (Author)Geared 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 of the real number system, it leads students through a nonstandard treatment of the basic topics of elementary real analysis, topological sp...
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