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 | The Absolute Differential Calculus (Calculus of Tensors) by Tullio Levi-Civita Written by a distinguished mathematician, this classic examines the mathematical material necessary for a grasp of relativity theory. Covers introductory theories, fundamental quadratic forms, absolute differential calculus, and physical applications. 1926 edition.
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 | Algorithms for Minimization Without Derivatives by Richard P. Brent 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. 1973 edition.
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 | Basic Concepts in Modern Mathematics by John Edward Hafstrom In-depth survey, geared toward undergraduates of all backgrounds, covers natural numbers; sets, variables, and statement forms; mappings and operations; groups; relations and partitions; integers; and rational and real numbers. 1961 edition.
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 | Evolution of Mathematical Concepts: An Elementary Study by Raymond L. Wilder Rather than a survey of the history or philosophy of modern mathematics, this treatment envisions mathematics as a broad cultural phenomenon, examining historic and social influences on such concepts as number and length. 1973 edition.
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 | A First Course in Functional Analysis by Prof. Martin Davis Designed for undergraduate mathematics majors, this self-contained exposition of Gelfand's proof of Wiener's theorem explores set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, more. 1966 edition.
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 | Fourier Series by G. H. Hardy, W. W. Rogosinski Classic graduate-level text discusses the Fourier series in Hilbert space, examines further properties of trigonometrical Fourier series, and concludes with a detailed look at the applications of previously outlined theorems. 1956 edition.
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 | The Green Book of Mathematical Problems by Kenneth Hardy, Kenneth S. Williams Popular selection of 100 practice problems — with hints and solutions — for students preparing for undergraduate-level math competitions. Includes questions drawn from geometry, group theory, linear algebra, and other fields.
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 | An Introduction to Mathematical Logic by Richard E. Hodel Comprehensive overview, suitable for advanced undergraduates and graduate students, covers propositional logic; first-order languages and logic; incompleteness, undecidability, and indefinability; recursive functions; computability; and Hilbert's Tenth Problem. 1995 edition.
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 | An Introduction to Phase-Integral Methods by John Heading Introductory treatment steers a course between simplistic and rigorous approaches to provide a concise overview for advanced undergraduates and graduate students. Topics include Stokes phenomenon, one and two transition points, and applications to physical problems. 1962 edition.
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 | Introduction to Stochastic Processes by Erhan Cinlar Clear presentation employs methods that recognize computer-related aspects of theory. Topics include expectations and independence, Bernoulli processes and sums of independent random variables, Markov chains, renewal theory, more. 1975 edition.
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 | Mathematical Methods in the Theory of Queuing by A. Y. Khinchin, D. M. Andrews, M. H. Quenouille Written by a prominent Russian mathematician, this concise monograph examines aspects of queuing theory as an application of probability. Prerequisites include a familiarity with the theory of probability and mathematical analysis. 1960 edition.
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 | Modern Calculus and Analytic Geometry by Richard A. Silverman Highly readable, self-contained text provides clear explanations for students at all levels of mathematical proficiency. Over 1,600 problems, many with detailed answers. Corrected 1969 edition. Includes 394 figures. Index.
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 | N-Person Game Theory: Concepts and Applications by Anatol Rapoport In this sequel to Two-Person Game Theory, the author introduces the necessary mathematical notation (mainly set theory), presents basic concepts, discusses a variety of models, and provides applications to social situations. 1970 edition.
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 | Proof Theory: Second Edition by Gaisi Takeuti This comprehensive monograph presents a detailed overview of creative works by the author and other 20th-century logicians that includes applications of proof theory to logic as well as other areas of mathematics. 1975 edition.
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 | Substitutional Analysis by Daniel Edwin Rutherford Classic monograph, suitable for advanced undergraduates and graduate students. Topics include calculus of permutations and tableaux, semi-normal representation, orthogonal and natural representations, group characters, and substitutional equations. 1968 edition.
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