An Invitation to Abstract Mathematics
This undergraduate textbook is intended primarily for a transition course into higher mathematics, although it is written with a broader audience in mind. The heart and soul of this book is problem solving, where each problem is carefully chosen to clarify a concept, demonstrate a technique, or to...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
New York, NY :
Springer New York : Imprint: Springer
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Undergraduate Texts in Mathematics
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| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • An Invitation to Abstract Mathematics, Texte imprimé, 9781461466352 |
Inhaltsangabe:
- 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