|By Subject > Science and Mathematics > Mathematics > Geometry > 3 > Geometry and Convexity: A Study in Mathematical Methods|
Convex body theory offers important applications in probability and statistics, combinatorial mathematics, and optimization theory. Although this text's setting and central issues are geometric in nature, it stresses the interplay of concepts and methods from topology, analysis, and linear and affine algebra. From motivation to definition, the authors present concrete examples and theorems that identify convex bodies and surfaces and establish their basic properties. The easy-to-read treatment employs simple notation and clear, complete proofs.
|Geometry and Convexity: A Study in Mathematical Methods|
|Author:||Paul J. Kelly, Max L. Weiss|
|Dimensions:||5 3/8 x 8 1/2|
Introductory chapters establish the basics of metric topology and the structure of Euclidean n-space. Subsequent chapters apply this background to the dimension, basic structure, and general geometry of convex bodies and surfaces. Concluding chapters illustrate nonintuitive results to offer students a perspective on the wide range of problems and applications in convex body theory.
Reprint of the John Wiley & Sons, New York, 1978 edition.
|Ready to Buy?|
Add this to your cart
(you can always remove it later.)
Shopping here is Guaranteed Safe!
|Here's a sample of other Dover titles that may interest your customers.|
|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. read more
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. read more
|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.
by Roberto Bonola
Examines various attempts to prove Euclid's parallel postulate — by the Greeks, Arabs, and Renaissance mathematicians. It considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, others. Includes 181 diagrams.
|Problems and Solutions in Euclidean Geometry|
by M. N. Aref
Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. More than 200 problems include hints and solutions. 1968 edition. read more
|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. read more
|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.
|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 intervals, Hilbert space, more. Exercises. 1957 edition. read more
by George Bachman
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.
|Challenging Mathematical Problems with Elementary Solutions, Vol. I|
by A. M. Yaglom
I. M. Yaglom
Volume I of a two-part series, this book features a broad spectrum of 100 challenging problems related to probability theory and combinatorial analysis. Most can be solved with elementary mathematics. Complete solutions. read more