Osborne,M.
Simplicial Algorithms for Minimizing Polyhedral Functions.
Description
This book provides the first general account of the development of simplicial algorithms. These include the ubiquitous simplex method of linear programming, widely used in industrial optimization and strategic decision making. They also include methods important in data analysis, such as problems involving very large data sets. The theoretical development is based on a new way of representing the underlying geometry of polyhedra functions (functions whose graphs are made up of plane faces), and is capable of resolving problems which occur when combinatorially large numbers of faces intersect at each vertex.
Chapter Contents
1. Some basic convex analysis; 2. Introduction to Polyhedra functions; 3. Linear programming algorithms; 4. Piecewise linear separable problems; 5. Rank regression problems; 6. Polyhedral constrained optmization.
0-521-79133-2 Hardback 272 pp
Nelsen,R.B.
Proofs without Words II.
Description
Like its predecessor, Proofs without Words, this book is a collection of pictures or diagrams that help the reader see why a particular mathematical statement may be true, and how one could begin to go about proving it. While in some proofs without words an equation or two may appear to help guide that process, the emphasis is clearly on providing visual clues to stimulate mathematical thought. The proofs in this collection are arranged by topic into five chapters: geometry and algebra; trigonometry, calculus and analytic geometry; inequalities; integer sums; and sequences and series. Teachers will find that many of the proofs in this collection are well suited for classroom discussion and for helping students to think visually in mathematics.
Chapter Contents
1. Geometry and algebra; 2. Trigonometry, calculus and analytic geometry; 3. Inequalities; 4. Integer sums; 5. Sequences and series
0-88385-721-9 Paperback 142 pp
Gardner,Martin
Mathematical Puzzle Tales
Martin Gardner published his first book in 1935. Since then he has published more than 60 books, most of them about mathematics and sciences, but also philosophy and literature. He has charmed readers of all ages with his mathematical insights and sense of fun.
The MAA is proud to reissue this collection of thirty-six stories taken from Isaac Asimov's Science Fiction Magazine. Brilliant, amusing, these brainteasers will help you sharpen your wits and prepare for takeoff into uncharted universes of the future.
The challenging problems presented here are based on geometry, logarithms, topology, probability, weird number sequences, logic and virtually every other aspect of mathematics as well as wordplay.
Included are: Lost on Capra; Space Pool; Machismo on Byronia; The Third Dr. Moreau; The Voyage of the Bagel; The Great Ring of Neptune; The Postage Stamps of Philo Tate; Captain Tittebaum's Tests; The Three Robots of Professor Tinker; How Bagson Bagged a Board Game; The Explosion of Blabbage's Oracle; No Vacancy at the Aleph-Null Inn...and more.
0-88385-533-X Paperback