Lattice theory offers an ideal framework for understanding basic mathematical concepts. This outstanding text is written in clear, direct language and enhanced with many research problems, exercises, diagrams, and concise proofs. The author discusses historical developments as well as future directions and provides extensive end-of-chapter materials and references. 1971 edition. Reprint of the W. H. Freeman and Company, San Francisco, 1971 edition.
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Exactly Solved Models in Statistical Mechanics by Rodney J. Baxter Exploration of two-dimensional lattice models examines basic statistical mechanics, Ising models, spherical models, ice-type models, corner transfer matrices, and elliptic functions. 1982 edition, with author's 2007 update on subsequent developments.
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Foundations of Combinatorics with Applications by Edward A. Bender, S. Gill Williamson Suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics, this introductory text explores counting and listing, graphs, induction and recursion, and generating functions. Includes numerous exercises (some with solutions), notes, and references.
Combinatorics for Computer Science by S. Gill Williamson Useful guide covers two major subdivisions of combinatorics — enumeration and graph theory — with each part divided into a "basic concepts" chapter, followed by 4 "topics" chapters that explore ideas in depth. Includes 219 figures.
Introduction to the Theory of Sets by Joseph Breuer, Howard F. Fehr This undergraduate text develops its subject through observations of the physical world, covering finite sets, cardinal numbers, infinite cardinals, and ordinals. Includes exercises with answers. 1958 edition.
