Mathematical problems and proofs : combinatorics, number theory, and geometry / Branislav Kisačanin.

By: Kisačanin, Branislav, 1968-Material type: TextTextPublisher: New York : Plenum Press, c1998Description: xiv, 220 p. : ill. ; 24 cmISBN: 0306459671; 9780306459672Subject(s): Combinatorial analysis | Set theory | Number theory | GeometryDDC classification: 511/.6 LOC classification: QA164 | .K57 1998
Contents:
Set theory -- Combinatorics -- Number theory -- Geometry -- Appendixes. Mathematical induction ; Important mathematical constants ; Great mathematicians ; Greek alphabet.
Review: "A gentle introduction to the highly sophisticated world of discrete mathematics, Mathematical Problems and Proofs presents topics ranging from elementary definitions and theorems to advanced topics. This invaluable instructional text guides readers through the enigmatic process of resolving proofs and problems, and constitutes an essential aid in the transition from problem solving to theorem proving."--BOOK JACKET.
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Item type Current location Call number Status Date due Barcode
Book University of Texas At Tyler
Stacks - 3rd Floor
QA164 .K57 1998 (Browse shelf) Available 0000001395375

Includes bibliographical references (p. 211-213) and index.

Set theory -- Combinatorics -- Number theory -- Geometry -- Appendixes. Mathematical induction ; Important mathematical constants ; Great mathematicians ; Greek alphabet.

"A gentle introduction to the highly sophisticated world of discrete mathematics, Mathematical Problems and Proofs presents topics ranging from elementary definitions and theorems to advanced topics. This invaluable instructional text guides readers through the enigmatic process of resolving proofs and problems, and constitutes an essential aid in the transition from problem solving to theorem proving."--BOOK JACKET.

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CHOICE Review

The main business of mathematicians consists of constructing proofs. All undergraduates looking toward graduate work in mathematics must become proficient at the mechanics of proof. Now, one may view proofs themselves as constituting mathematical objects, and the business of (some) mathematical logicians consists of proving theorems about proofs. Unfortunately, trying to use the language of mathematical logic to teach beginning undergraduates how to prove theorems makes as much sense as trying to use the language on noncommuting vector fields to teach someone how to parallel park. Kisacanin offers the sensible approach: expose students to a sampler of striking theorems, each having a sharp but elementary proof; allow them to form an intuitive concept of proof based on close examination of these examples (and let them learn some mathematical content in the process!); and let the students construct proofs of their own in the process of refining, varying, generalizing, and formalizing these model examples. On one view, the book contains few exercises, but conscientious students who at least attempt to discover all the proofs for themselves will find that, indeed, the book consists entirely of exercises. Recommended for high school and college libraries, undergraduate and up. D. V. Feldman; University of New Hampshire

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