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...
Wedi'i Gadw mewn:
| Prif Awdur: | |
|---|---|
| Fformat: | Livre numérique |
| Iaith: | Anglais |
| Cyhoeddwyd: |
New York, NY :
Springer New York : Imprint: Springer
[20..].
Cham : Springer Nature |
| Cyfres: | Undergraduate Texts in Mathematics
|
| Mynediad Ar-lein: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nodyn: |
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 |
| LEADER | 03957nam a22003257a 4500 | ||
|---|---|---|---|
| 001 | 946459 | ||
| 008 | 130704q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN170487733 | ||
| 020 | |a 9781461466369 | ||
| 020 | |a 9781461466369 | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Bajnok, Béla, |d 1961- | |
| 245 | 1 | 0 | |a An Invitation to Abstract Mathematics |c by Béla Bajnok. |
| 260 | |a New York, NY : |b Springer New York : |b Imprint: Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Undergraduate Texts in Mathematics |x 0172-6056 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 enthuse. The exercises require relatively extensive arguments, creative approaches, or both, thus providing motivation for the reader. With a unified approach to a diverse collection of topics, this text points out connections, similarities, and differences among subjects whenever possible. This book shows students that mathematics is a vibrant and dynamic human enterprise by including historical perspectives and notes on the giants of mathematics, by mentioning current activity in the mathematical community, and by discussing many famous and less well-known questions that remain open for future mathematicians. Ideally, this text should be used for a two semester course, where the first course has no prerequisites and the second is a more challenging course for math majors; yet, the flexible structure of the book allows it to be used in a variety of settings, including as a source of various independent-study and research projects | ||
| 776 | 0 | |t An Invitation to Abstract Mathematics |b Texte imprimé |z 9781461466352 | |
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| 997 | |0 946459 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||