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Exploring mathematics : an engaging introduction to proof

Author: John Meier; Derek Alan Smith
Publisher: Cambridge, UK ; New York : Cambridge University Press, 2017.
Series: Cambridge mathematical textbooks.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
Exploring Mathematics gives students experience with doing mathematics - interrogating mathematical claims, exploring definitions, forming conjectures, attempting proofs, and presenting results - and engages them with examples, exercises, and projects that pique their interest. Written with a minimal number of pre-requisites, this text can be used by college students in their first and second years of study, and by  Read more...
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Additional Physical Format: ebook version :
Document Type: Book
All Authors / Contributors: John Meier; Derek Alan Smith
ISBN: 9781107128989 1107128986
OCLC Number: 992743788
Description: xv, 324 pages ; 26 cm.
Contents: Let's play! --
Discovering and presenting mathematics – Sets --
The integers and the fundamental theorem of arithmetic – Functions – Relations – Cardinality --
The real numbers --
Probability and randomness --
Algebra and symmetry – Projects --
Appendix A. Solutions, answers, or hints to in-text exercises – Index --
Bibilography.
Series Title: Cambridge mathematical textbooks.
Responsibility: John Meier, Lafayette College, PA, USA, Derek Smith, Lafayette College, PA, USA.

Abstract:

The transition from predominantly computational courses to upper-level math requires the development of skills, including reading and writing mathematical proofs, and creating illuminating examples  Read more...

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'Wonderful list of topics, entertaining presentation, well-chosen problems - this is the way I want my grandchildren to engage with the beauty of mathematics. Too many students enter college with Read more...

 
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