The Foundations of Mathematics

Name: The Foundations of Mathematics
Brand: Unknown
SKU: 9780470085011
Price: 252.99 NZD
Availability: InStock

By Thomas Q. Sibley

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Summary

The Foundations of Mathematics offers a thorough introduction to mathematical proofs and key concepts such as logic and set theory. It presents material in a pedagogically sound way, allowing students to explore ideas before applying them in proofs. The book includes a variety of exercises, from comprehension questions to challenging proofs and critiques of flawed arguments. Additionally, it covers metamathematics and the philosophy of mathematics, providing a unique perspective compared to similar texts.
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Format: Hardback

$252⁹⁹

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The Foundations of Mathematics

$252⁹⁹

Book Hero Magic created this recommendation. While it's new and still learning, it may not be perfect - your feedback is welcome! IS THIS YOUR NEXT READ?

This book is well-suited for students beginning formal mathematical studies, educators seeking a comprehensive resource on proofs and foundational concepts, and anyone interested in an in-depth introduction to mathematical logic and philosophy.

Finally there's an easy-to-follow book that will help readers succeed in the art of proving theorems. Sibley not only conveys the spirit of mathematics but also uncovers the skills required to succeed. Key definitions are introduced while readers are encouraged to develop an intuition about these concepts and practice using them in problems.

Description

The Foundations of Mathematics provides a careful introduction to proofs in mathematics, along with basic concepts of logic, set theory, and other broadly used areas of mathematics. The concepts are introduced in a pedagogically effective manner without compromising mathematical accuracy and completeness.

Thus, in Part I, students explore concepts before they use them in proofs. The exercises range from reading comprehension questions and many standard exercises to proving more challenging statements, formulating conjectures, and critiquing a variety of false and questionable proofs.

The discussion of metamathematics, including Gödel’s Theorems, and philosophy of mathematics provides an unusual and valuable addition compared to other similar texts.

Book Details

INFORMATION

ISBN: 9780470085011

Publisher: John Wiley & Sons Inc

Format: Hardback

Date Published: 21 April 2008

Country: United States

Imprint: John Wiley & Sons Inc

Audience: Professional and scholarly

DIMENSIONS

Spine width: 28.0mm

Width: 155.0mm

Height: 236.0mm

Weight: 680g

Pages: 408

Collections

Education & Reference Non-Fiction Science & Nature Thomas Q. Sibley

About the Author

Thomas Q. Sibley is Professor of Mathematics at St. John's University in Collegeville, Minnesota.