The Foundations of Mathematics
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The Foundations of Mathematics
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See moreFinally 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.
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 Gรถdelโs 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
About the Author
Thomas Q. Sibley is Professor of Mathematics at St. John's University in Collegeville, Minnesota.
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