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An Invitation to Abstract Mathematics

Béla Bajnok
Publisher: 
Springer
Publication Date: 
2013
Number of Pages: 
406
Format: 
Hardcover
Series: 
Undergraduate Texts in Mathematics
Price: 
59.95
ISBN: 
9781461466352
Category: 
Textbook
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Preface to Instructors.- Preface to Students.- Acknowledgments.- I What's Mathematics.- 1 Let's Play a Game!.- 2 What's the Name of the Game?.- 3 How to Make a Statement?- 4 What's True in Mathematics?.- 5 Famous Classical Theorems.- 6 Recent Progress in Mathematics.- II How to Solve It?.- 7 Let's be Logical!.- 8 Setting Examples.- 9 Quantifier Mechanics.- 10 Mathematical Structures.- 11 Working in the Fields (and Other Structures).- 12 Universal Proofs.- 13 The Domino Effect.- 14 More Domino Games.- 15 Existential Proofs.- 16 A Cornucopia of Famous Problems.- III Advanced Math for Beginners.- 17 Good Relations.- 18 Order, Please!.- 19 Let's be Functional!.- 20 Now That's the Limit!.- 21 Sizing It Up.- 22 Infinite Delights.- 23 Number Systems Systematically.- 24 Games Are Valuable!.- IV. Appendices.- A. Famous Conjectures in Mathematics.- B The Foundations of Set Theory.- C All Games Considered.- D Top 40 List of Math Theorems.​- Index.

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