Convex body theory offers important applications in probability and statistics, combinatorial mathematics, and optimization theory. This easy-to-read treatment employs simple notation and clear, complete proofs. From motivation to definition, it features concrete examples and theorems that identify convex bodies and surfaces and establish their basic properties. 1979 edition. Reprint of the John Wiley & Sons, New York, 1978 edition.
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Convex Sets and Their Applications by Steven R. Lay Suitable for advanced undergraduates and graduate students, this text introduces characterizations of convex sets, polytopes, duality, optimization, and convex functions. Exercises include hints, solutions, and references. 1982 edition.
Convex Surfaces by Herbert Busemann This exploration of convex surfaces focuses on extrinsic geometry and applications of the Brunn-Minkowski theory. It also examines intrinsic geometry and the realization of intrinsic metrics. 1958 edition.
Optimization Theory with Applications by Donald A. Pierre Broad-spectrum approach to important topic. Explores the classic theory of minima and maxima, classical calculus of variations, simplex technique and linear programming, optimality and dynamic programming, more. 1969 edition.
Functional Analysis by George Bachman, Lawrence Narici Text covers introduction to inner-product spaces, normed, metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach Theorem and its consequences, and many other related subjects. 1966 edition.
Euclidean Geometry and Transformations by Clayton W. Dodge This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.
Advanced Euclidean Geometry by Roger A. Johnson This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.
Challenging Mathematical Problems with Elementary Solutions, Vol. 1 by A. M. Yaglom, I. M. Yaglom Over 170 challenging problems ranging from the relatively simple to the extremely difficult. Volume 1 contains 100 problems on probability theory and combinatorial analysis.
Elements of the Theory of Functions and Functional Analysis by A. N. Kolmogorov, S. V. Fomin Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque interval, Hilbert Space, more. Exercises. 1957 edition.
