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by Saul I. Gass (Author)I would not hesitate to recommend the book. -- Industrial EngineeringLinear programming is an extremely effective problem-solving tool, with applications in business, agriculture, government, manufacturing, transportation, engineering, and many other areas. This very readable book presents an elementary introduction to linear programming in a refreshing, often humorous style.Requiring no math beyond high-school algebra, the book shows how linear programming can help an...
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by Alan Holden (Author)Altogether a most instructive, entertaining, and esthetically pleasing book. -- Science.Since the ancient Greeks, the visualization of space has been a challenge that has intrigued men of learning. Through centuries of thoughtful looking, a number of three-dimensional figures or polyhedral, as the Greeks called them, have been discovered, admired, and wondered at for their mathematical elegance and beauty. And they have been put to use in remarkably diverse ways by engi...
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by Richard Dedekind (Author)This volume contains the two most important essays on the logical foundations of the number system by the famous German mathematician J. W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and p...
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by Lewis Carroll (Author), Edward Wakeling (Editor)Widely known as the author of Alice's Adventures in Wonderland and other books for children, Lewis Carroll (Charles L. Dodgson) also excelled as a mathematician and inventor of puzzles. Toward the end of his life, Carroll worked on a book of mathematical puzzles and games but died before it was completed. This book is a new compilation of Carroll's surviving puzzles and games, assembled and edited by Edward Wakeling, a Lewis Carroll scholar a...
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by Karl Menninger (Author), Paul Broneer (Translator)Classic study discusses number sequence and number language, then explores written numerals and computations in a wide range of cultures. 282 illustrations. "Superior narrative ability." - Library Journal. Number of Pages: 510 Dimensions: 1.06 x 9.24 x 6.53 IN Illustrated: Yes Publication Date: November 24, 2011
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by Charles W. Trigg (Author)Nearly 300 mathematical brain-teasers from the fields of arithmetic, algebra, plane and solid geometry, trigonometry, number theory, and general recreational mathematics. From simple to complex; all challenge the reader to devise solutions more elegant than the ones provided. Offers hours of brain-bending amusement. 270 problems. 121 illustrations. Solutions. List of Sources. Number of Pages: 240 Dimensions: 0.47 x 8.48 x 5.43 IN Illustrated: Yes Publication Date: ...
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by John P. Boyd (Author)Completely 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 intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text...
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by Bertrand Russell (Author)In the words of Bertrand Russell, Because language is misleading, as well as because it is diffuse and inexact when applied to logic (for which it was never intended), logical symbolism is absolutely necessary to any exact or thorough treatment of mathematical philosophy. That assertion underlies this book, a seminal work in the field for more than 70 years. In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to ari...
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by Joel N. Franklin (Author)Not only is matrix theory significant in a wide range of fields mathematical economics, quantum physics, geophysics, electrical network synthesis, crystallography, and structural engineering, among others-but with the vast proliferation of digital computers, knowledge of matrix theory is a must for every modern engineer, mathematician, and scientist. Matrices represent linear transformations from a finiteset of numbers to another finite set of numbers.Since many im...
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by Eugene Lawler (Author)Perceptively written text examines optimization problems that can be formulated in terms of networks and algebraic structures called matroids. Chapters cover shortest paths, network flows, bipartite matching, nonbipartite matching, matroids and the greedy algorithm, matroid intersections, and the matroid parity problems. A suitable text or reference for courses in combinatorial computing and concrete computational complexity in departments of computer science and math...
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by Anatol Rapoport (Author)N-person game theory provides a logical framework for analyzing contests in which there are more than two players or sets of conflicting interests-anything from a hand of poker to the tangled web of international relations. In this sequel to his Two-Person Game Theory, Dr. Rapoport provides a fascinating and lucid introduction to the theory, geared towards readers with little mathematical background but with an appetite for rigorous analysis.Following an introducti...
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by William M. Kaula (Author)The main purpose of this classic text is to demonstrate how Newtonian gravitational theory and Euclidean geometry can be used and developed in the earth's environment. The second is to collect and explain some of the mathematical techniques developed for measuring the earth by satellite.Book chapters include discussions of the earth's gravitational field, with special emphasis on spherical harmonies and the potential of the ellipsoid; matrices and orbital geometry;...
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by Louis A. Hageman (Author), David M. Young (Author)This graduate-level text examines the practical use of iterative methods in solving large, sparse systems of linear algebraic equations and in resolving multidimensional boundary-value problems. 1981 edition. Includes 48 figures and 35 tables. Number of Pages: 386 Dimensions: 0.81 x 8.46 x 5.46 IN Illustrated: Yes Publication Date: July 26, 2004
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by Clayton W. Dodge (Author)A 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 and similarities in the plane, vectors and complex numbers in geometry, inversion, and isometries in space. Numerous exercises appear thro...
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by Howard DeLong (Author)Anyone seeking a readable and relatively brief guide to logic can do no better than this classic introduction. A treat for both the intellect and the imagination, it profiles the development of logic from ancient to modern times and compellingly examines the nature of logic and its philosophical implications. No prior knowledge of logic is necessary; readers need only an acquaintance with high school mathematics. The author emphasizes understanding, rather than techni...
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by Paul Waltman (Author)Focusing on applicable rather than applied mathematics, this versatile text is appropriate for advanced undergraduates majoring in any discipline. A thorough examination of linear systems of differential equations inaugurates the text, reviewing concepts from linear algebra and basic theory. The heart of the book develops the ideas of stability and qualitative behavior. Starting with two-dimensional linear systems, the author reviews the use of polar coordinate techniq...
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by Felix Klein (Author)Makes the reader feel the inspiration that comes from listening to a great mathematician. -- Bulletin, American Mathematical SocietyA distinguished mathematician and educator enlivens abstract discussions of arithmetic, algebra, and analysis by means of graphical and geometrically perceptive methods. His three-part treatment begins with topics associated with arithmetic, including calculating with natural numbers, the first extension of the notion of number, special pr...
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by Stephen Willard (Author)Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Its treatment encompasses two broad areas of topology: continuous topology, represented by sections on convergence, compactness, metrization and complete metric spaces, uniform spaces, and function spaces; and geometric topology, covered by nine sections on connectivity properties, topological characterization t...
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by Felix Klein (Author)Nothing comparable to it. -- Mathematics Teacher. This comprehensive three-part treatment begins with a consideration of the simplest geometric manifolds: line-segment, area, and volume as relative magnitudes; the Grassmann determinant principle for the plane and the Grassmann principle for space; classification of the elementary configurations of space according to their behavior under transformation of rectangular coordinates; and derivative manifolds. The second sect...
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by Steven J. Brams (Author)In this illuminating and instructive survey, author Steven J. Brams demonstrates both the insights and the pitfalls that can result from applying game theoretic models to the analysis of problems in political science. Using plenty of real-life examples, Brams shows how game theory can explain and elucidate complex political situations, from warfare to presidential vetoes. In these cases and others, game theory's mathematical structure provides a rigorous, consistent...
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by Mary Tiles (Author)A century ago, Georg Cantor demonstrated the possibility of a series of transfinite infinite numbers. His methods, unorthodox for the time, enabled him to derive theorems that established a mathematical reality for a hierarchy of infinities. Cantor's innovation was opposed, and ignored, by the establishment; years later, the value of his work was recognized and appreciated as a landmark in mathematical thought, forming the beginning of set theory and the foundation for m...
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by Alberto Torchinsky (Author)This text starts with Fourier series, summability, norm convergence, and conjugate function. Additional topics include Hilbert transform, Paley theory, Cauchy integrals on Lipschitz curves, and boundary value problems. 1986 edition. Number of Pages: 462 Dimensions: 0.95 x 8.46 x 5.46 IN Illustrated: Yes Publication Date: April 09, 2004
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by Walter J. Meyer (Author)Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operati...
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by M. M. Postnikov (Author)Written by a prominent mathematician, this text offers advanced undergraduate and graduate students a virtually self-contained treatment of the basics of Galois theory. The source of modern abstract algebra and one of abstract algebra's most concrete applications, Galois theory serves as an excellent introduction to group theory and provides a strong, historically relevant motivation for the introduction of the basics of abstract algebra.This two-part treatment begi...
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by W. W. Bell (Author)Clear and comprehensive, this text provides undergraduates with a straightforward guide to special functions. It is equally suitable as a reference volume for professionals, and readers need no higher level of mathematical knowledge beyond elementary calculus. Topics include the solution of second-order differential equations in terms of power series; gamma and beta functions; Legendre polynomials and functions; Bessel functions; Hermite, Laguerre, and Chebyshev polynomi...
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by E. J. Gumbel (Author)Universally acknowledged as the classic text about statistics of extremes, this volume is geared toward use by statisticians and statistically minded scientists and engineers. It employs elementary terms to explain applications, favors graphical procedures over calculations, and presents simple generalizations as exercises -- all of which contribute to its value for students. Starting with definitions of its aims and tools, the text proceeds to discussions of order sta...
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by Miodrag Petkovic (Author)Here is a splendid collection of 99 puzzles, some adapted and some original with the author, and all built around some form of the chessboard, generally the well-known 8 x 8 version.In this book you'll find a rich selection of arithmetical and probability problems, chessboard recreations, geometrical puzzles, mathematical amusements and games, and more. In many cases, the author has modified standard problems with new, interesting twists. To solve these puzzles, yo...
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by Bela Bollobas (Author)The ever-expanding field of extremal graph theory encompasses a diverse array of problem-solving methods, including applications to economics, computer science, and optimization theory. This volume, based on a series of lectures delivered to graduate students at the University of Cambridge, presents a concise yet comprehensive treatment of extremal graph theory.Unlike most graph theory treatises, this text features complete proofs for almost all of its results. Furthe...
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by H. Graham Flegg (Author)This excellent introduction to topology eases first-year math students and general readers into the subject by surveying its concepts in a descriptive and intuitive way, attempting to build a bridge from the familiar concepts of geometry to the formalized study of topology. The first three chapters focus on congruence classes defined by transformations in real Euclidean space. As the number of permitted transformations increases, these classes become larger, and the...
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by Dennis Elliott Shasha (Author)Dr. Ecco is a mathematical detective and puzzle solver. In this book readers are invited to join him in solving nearly 40 puzzles inspired by methods in computer science and mathematics, including The Tower of Lego, the Odd Doors Problem, Spies and Double Agents, Gossiping Defenders, Code Breaking, and many more. Number of Pages: 208 Dimensions: 0.5 x 8.4 x 5.4 IN Publication Date: July 21, 1997
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by Claude Berge (Author), Mathematics (Author)From the circuit diagrams of physics and electronics to psychology's sociograms and the communications networks employed by operational research, an extraordinary variety of disciplines rely on graphs to convey fundamentals as well as finer points. With this concise and well-written text, any reader possessing a firm grasp of general mathematics can follow the development of graph theory and learn to apply its principles in methods both formal and...
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by Richard P. Brent (Author)This outstanding text for graduate students and researchers proposes improvements to existing algorithms, extends their related mathematical theories, and offers details on new algorithms for approximating local and global minima. None of the algorithms requires an evaluation of derivatives; all depend entirely on sequential function evaluation, a highly practical scenario in the frequent event of difficult-to-evaluate derivatives.Topics include the use of successi...