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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Satan, Cantor & Infinity: Mind-Boggling PuzzlesA clear-headed command of logic can make the mind powerful enough to outmaneuver the devil himself, according to these intriguing stories. More than 200 puzzles, problems, and paradoxes await within these pages, woven together by a wizard's captivating narrative. The Sorcerer -- so skilled...
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Nonstandard Methods in Stochastic Analysis and Mathematical PhysicsTwo-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: Sergio Albeverio, Jens Erik Fenstad, Raphael Hoegh-KrohnPublisher: Dover PublicationsPublished: 02/26/2009Pages: 526Binding Type: PaperbackWeight:...
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Lectures on Elementary MathematicsOne of the eighteenth century's greatest mathematicians, Lagrange made significant contributions to all fields of analysis and number theory. He survived the French Revolution to deliver these lectures in 1795 at the cole Normale, a training school for teachers. An exemplar among elementary expositions,...
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Stability Theory of Differential EquationsSuitable for advanced undergraduates and graduate students, this was the first English-language text to offer detailed coverage of boundedness, stability, and asymptotic behavior of linear and nonlinear differential equations. It remains a classic guide, featuring material from original research papers, including the author's own...
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Optimal Control: Linear Quadratic MethodsThis augmented edition of a respected text teaches the reader how to use linear quadratic Gaussian methods effectively for the design of control systems. It explores linear optimal control theory from an engineering viewpoint, with step-by-step explanations that show clearly how to make practical...
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Methods of Numerical IntegrationUseful to programmers and stimulating for theoreticians, this text covers the major methods of numerical integration. It offers a balanced presentation: certain sections derive from or allude to deep results of analysis, but most of the final results are expressed in a form accessible...
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An Introduction to Fourier Series and IntegralsA compact, sophomore-to-senior-level guide, Dr. Seeley's text introduces Fourier series in the way that Joseph Fourier himself used them: as solutions of the heat equation in a disk. Emphasizing the relationship between physics and mathematics, Dr. Seeley focuses on results of greatest significance to...
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Mathematics for Quantum ChemistryThis concise volume offers undergraduate students of chemistry an introduction to the mathematical formalism encountered in problems of molecular structure and motion. The author presents only two main topics from mathematics and two from physics: the calculus of orthogonal functions and the algebra of...
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Extremal Graph TheoryThe 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...
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Calculus: Problems and SolutionsIdeal for self-instruction as well as for classroom use, this text helps students improve their understanding and problem-solving skills in analysis, analytic geometry, and higher algebra. More than 1,200 problems appear in the text, with concise explanations of the basic notions and theorems to...
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Linear Programming: Methods and Applications"One of the best introductory books on linear programming ... excellent." -- Journal of the American Statistical Association."A good elementary text. "-- Mathematical Reviews.Clear and comprehensive in its coverage of the entire spectrum of linear programming techniques, this volume introduces theoretical, computational, and applied...
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The Undecidable: Basic Papers on Undecidable Propositions, Unsolvable Problems, and Computable FunctionsA valuable collection both for original source material as well as historical formulations of current problems. -- The Review of MetaphysicsMuch more than a mere collection of papers. A valuable addition to the literature. -- Mathematics of ComputationAn anthology of fundamental papers on undecidability...
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Vision in Elementary MathematicsSure-fire techniques of visualizing, dramatizing, and analyzing numbers promise to attract and retain students'' attention and understanding. Topics include basic multiplication and division, algebra, word problems, graphs, negative numbers, fractions, many other practical applications of elementary mathematics. 1964 edition. Answers to Problems.Author: W. W....
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The Works of ArchimedesThe complete works of antiquity's great geometer appear here in a highly accessible English translation by a distinguished scholar. Remarkable for his range of thought and his mastery of treatment, Archimedes addressed such topics as the famous problems of the ratio of the areas...
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Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and ReviewAnyone whose work involves mathematics and its methodology -- especially engineers and scientists -- will appreciate this authoritative handbook, which provides convenient access to information from every area of mathematics. A reliable source of helpful definitions, theorems, and formulas, it features an easy-to-follow format...
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The Puzzling Adventures of Dr. EccoDr. 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,...
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Shapes, Space, and SymmetryAltogether 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...
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Mathematics in the Time of the PharaohsIn the past, scholars have tended to dismiss the mathematics of the ancient Egyptians as child's play, compared with the achievements of the Greeks and other later civilizations. Nevertheless, in a society that achieved the marvelous accuracy of construction revealed in the Pyramids, extensive...
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Famous Problems of Geometry and How to Solve ThemIt took two millennia to prove the impossible; that is, to prove it is not possible to solve some famous Greek problems in the Greek way (using only straight edge and compasses). In the process of trying to square the circle, trisect the angle...
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The Master Book of Mathematical RecreationsPraised for its "exceptionally good value" by the Journal of Recreational Mathematics, this book offers fun-filled insights into many fields of mathematics. The brainteasers include original puzzles as well as new approaches to classic conundrums. A vast assortment of challenges features domino puzzles, the...
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