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Introduction to Mathematical Structures and Proofs

  • Book
  • © 1996

Overview

Authors:
  1. Larry J. Gerstein

    1. University of California, Santa Barbara, USA

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-x
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  2. Logic

    • Larry J. Gerstein
    Pages 1-37

  3. Sets

    • Larry J. Gerstein
    Pages 39-115

  4. Functions

    • Larry J. Gerstein
    Pages 117-150

  5. Finite and Infinite Sets

    • Larry J. Gerstein
    Pages 151-203

  6. Permutations and Combinations

    • Larry J. Gerstein
    Pages 205-280

  7. Number Theory

    • Larry J. Gerstein
    Pages 281-327

  8. Back Matter

    Pages 329-350
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Keywords

About this book

This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on. Without such a "bridge" course, most upper­ division instructors feel the need to start their courses with the . rudiments of logic, set theory, equivalence relations, and other basic mathematiCal raw materials before getting on with the subject at hand. Students who are new to higher mathematics are often startled to discover that mathematics is a subject of ideas, and not just formulaic rituals, and that they are now expected to understand and create mathematical proofs. Mastery of an assortment of technical tricks may have carried tHe students through calculus, but it is no longer a guarantee of academic success. Students need experience in working with abstract ideas at a n

Authors and Affiliations

  • University of California, Santa Barbara, USA

    Larry J. Gerstein

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