A Bridge to Advanced Mathematics

Nonfiction, Science & Nature, Mathematics, Applied
Cover of the book A Bridge to Advanced Mathematics by Prof. Dennis Sentilles, Dover Publications
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Author: Prof. Dennis Sentilles ISBN: 9780486277585
Publisher: Dover Publications Publication: May 20, 2013
Imprint: Dover Publications Language: English
Author: Prof. Dennis Sentilles
ISBN: 9780486277585
Publisher: Dover Publications
Publication: May 20, 2013
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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