An Invitation to Abstract Mathematics
| العنوان: | An Invitation to Abstract Mathematics |
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| المؤلفون: | Bela Bajnok |
| المصدر: | Undergraduate Texts in Mathematics ISBN: 9783030561734 Undergraduate Texts in Mathematics ISBN: 9781461466352 An Invitation to Abstract Mathematics |
| بيانات النشر: | Springer International Publishing, 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Statement (computer science), Algebra, Pure mathematics, Quantifier (logic), Limit (category theory), Order (group theory), Set theory, Mathematical structure, Mathematical proof, Domino, Mathematics |
| الوصف: | 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. |
| ردمك: | 978-3-030-56173-4 978-1-4614-6635-2 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c08bab0ea78ee384c1a9e8d6557f57b1Test https://doi.org/10.1007/978-3-030-56174-1Test |
| حقوق: | CLOSED |
| رقم الانضمام: | edsair.doi.dedup.....c08bab0ea78ee384c1a9e8d6557f57b1 |
| قاعدة البيانات: | OpenAIRE |
| ردمك: | 9783030561734 9781461466352 |
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