The Real Analysis Lifesaver: All the Tools You Need to Understand Proofs
Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovative guide that helps students through their first rea...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2017]
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| Schlagworte: | |
| Online-Zugang: | DE-1046 DE-859 DE-860 DE-739 DE-1043 DE-858 URL des Erstveröffentlichers |
| Zusammenfassung: | Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovative guide that helps students through their first real analysis course while giving them the solid foundation they need for further study in proof-based math.Rather than presenting polished proofs with no explanation of how they were devised, The Real Analysis Lifesaver takes a two-step approach, first showing students how to work backwards to solve the crux of the problem, then showing them how to write it up formally. It takes the time to provide plenty of examples as well as guided "fill in the blanks" exercises to solidify understanding.Newcomers to real analysis can feel like they are drowning in new symbols, concepts, and an entirely new way of thinking about math. Inspired by the popular Calculus Lifesaver, this book is refreshingly straightforward and full of clear explanations, pictures, and humor. It is the lifesaver that every drowning student needs.The essential "lifesaver" companion for any course in real analysisClear, humorous, and easy-to-read styleTeaches students not just what the proofs are, but how to do them—in more than 40 worked-out examplesEvery new definition is accompanied by examples and important clarificationsFeatures more than 20 "fill in the blanks" exercises to help internalize proof techniquesTried and tested in the classroom |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed Feb. 24, 2017) |
| Beschreibung: | 1 online resource |
| ISBN: | 9781400883134 |
| DOI: | 10.1515/9781400883134 |
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| spelling | Grinberg, Raffi. Verfasser aut The Real Analysis Lifesaver All the Tools You Need to Understand Proofs Raffi Grinberg Princeton, NJ Princeton University Press [2017] © 2017 1 online resource txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (publisher's Web site, viewed Feb. 24, 2017) Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovative guide that helps students through their first real analysis course while giving them the solid foundation they need for further study in proof-based math.Rather than presenting polished proofs with no explanation of how they were devised, The Real Analysis Lifesaver takes a two-step approach, first showing students how to work backwards to solve the crux of the problem, then showing them how to write it up formally. It takes the time to provide plenty of examples as well as guided "fill in the blanks" exercises to solidify understanding.Newcomers to real analysis can feel like they are drowning in new symbols, concepts, and an entirely new way of thinking about math. Inspired by the popular Calculus Lifesaver, this book is refreshingly straightforward and full of clear explanations, pictures, and humor. It is the lifesaver that every drowning student needs.The essential "lifesaver" companion for any course in real analysisClear, humorous, and easy-to-read styleTeaches students not just what the proofs are, but how to do them—in more than 40 worked-out examplesEvery new definition is accompanied by examples and important clarificationsFeatures more than 20 "fill in the blanks" exercises to help internalize proof techniquesTried and tested in the classroom In English Functions of real variables Mathematical analysis Numbers, Real https://doi.org/10.1515/9781400883134 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Grinberg, Raffi The Real Analysis Lifesaver All the Tools You Need to Understand Proofs Functions of real variables Mathematical analysis Numbers, Real |
| title | The Real Analysis Lifesaver All the Tools You Need to Understand Proofs |
| title_auth | The Real Analysis Lifesaver All the Tools You Need to Understand Proofs |
| title_exact_search | The Real Analysis Lifesaver All the Tools You Need to Understand Proofs |
| title_full | The Real Analysis Lifesaver All the Tools You Need to Understand Proofs Raffi Grinberg |
| title_fullStr | The Real Analysis Lifesaver All the Tools You Need to Understand Proofs Raffi Grinberg |
| title_full_unstemmed | The Real Analysis Lifesaver All the Tools You Need to Understand Proofs Raffi Grinberg |
| title_short | The Real Analysis Lifesaver |
| title_sort | the real analysis lifesaver all the tools you need to understand proofs |
| title_sub | All the Tools You Need to Understand Proofs |
| topic | Functions of real variables Mathematical analysis Numbers, Real |
| topic_facet | Functions of real variables Mathematical analysis Numbers, Real |
| url | https://doi.org/10.1515/9781400883134 |
| work_keys_str_mv | AT grinbergraffi therealanalysislifesaverallthetoolsyouneedtounderstandproofs |