A Bridge to Advanced Mathematics

Condition: BRAND NEW ISBN: 9780486482194 Author(s): Dennis Sentilles Format: Hardcover Language: English Year: 2011 Publisher: Dover Publications Inc. Pages: 416 Series: Dover Books on Mathema 1.4tics

Description: This helpful workbook-style ''bridge'' book introduces students to the foundations of advanced mathematics, spanning the gap between a practically oriented calculus sequence and subsequent courses in algebra and analysis with a more theoretical slant. Part 1 focuses on logic and number systems, providing the most basic tools, examples, and motivation for the manner, method, and concerns of higher mathematics. Part 2 covers sets, relations, functions, infinite sets, and mathematical proofs and reasoning. Author Dennis Sentilles also discusses the history and development of mathematics as well as the reasons behind axiom systems and their uses. He assumes no prior knowledge of proofs or logic, and he takes an intuitive approach that builds into a formal development. Advanced undergraduate students of mathematics and engineering will find this volume an excellent source of instruction, reinforcement, and review.

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