Reading, Writing, and Proving: A Closer Look at Mathematics
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2003
|
| Series: | Undergraduate Texts in Mathematics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This book, which is based on Pólya's method of problem solving, aids students in their transition from calculus (or precalculus) to higher-level mathematics. The book begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics. It ends by providing projects for independent study. Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them. Special emphasis is placed on reading carefully and writing well. The authors have included a wide variety of examples, exercises with solutions, problems, and over 40 illustrations, chosen to emphasize these goals. Historical connections are made throughout the text, and students are encouraged to use the rather extensive bibliography to begin making connections of their own. While standard texts in this area prepare students for future courses in algebra, this book also includes chapters on sequences, convergence, and metric spaces for those wanting to bridge the gap between the standard course in calculus and one in analysis |
| Physical Description: | 1 Online-Ressource (XVI, 395 p) |
| ISBN: | 9780387215600 9780387008349 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/b97273 |
Staff View
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Record in the Search Index
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| discipline | Mathematik |
| doi_str_mv | 10.1007/b97273 |
| format | Electronic eBook |
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| spelling | Daepp, Ulrich Verfasser aut Reading, Writing, and Proving A Closer Look at Mathematics by Ulrich Daepp, Pamela Gorkin New York, NY Springer New York 2003 1 Online-Ressource (XVI, 395 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 This book, which is based on Pólya's method of problem solving, aids students in their transition from calculus (or precalculus) to higher-level mathematics. The book begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics. It ends by providing projects for independent study. Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them. Special emphasis is placed on reading carefully and writing well. The authors have included a wide variety of examples, exercises with solutions, problems, and over 40 illustrations, chosen to emphasize these goals. Historical connections are made throughout the text, and students are encouraged to use the rather extensive bibliography to begin making connections of their own. While standard texts in this area prepare students for future courses in algebra, this book also includes chapters on sequences, convergence, and metric spaces for those wanting to bridge the gap between the standard course in calculus and one in analysis Mathematics Global analysis (Mathematics) Logic, Symbolic and mathematical Number theory Mathematical Logic and Foundations Analysis Number Theory Mathematik Problemlösen (DE-588)4076358-4 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Aufgabe (DE-588)4126116-1 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Mathematik (DE-588)4037944-9 s Aufgabe (DE-588)4126116-1 s Problemlösen (DE-588)4076358-4 s 2\p DE-604 Gorkin, Pamela Sonstige oth https://doi.org/10.1007/b97273 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Daepp, Ulrich Reading, Writing, and Proving A Closer Look at Mathematics Mathematics Global analysis (Mathematics) Logic, Symbolic and mathematical Number theory Mathematical Logic and Foundations Analysis Number Theory Mathematik Problemlösen (DE-588)4076358-4 gnd Mathematik (DE-588)4037944-9 gnd Aufgabe (DE-588)4126116-1 gnd |
| subject_GND | (DE-588)4076358-4 (DE-588)4037944-9 (DE-588)4126116-1 (DE-588)4143389-0 |
| title | Reading, Writing, and Proving A Closer Look at Mathematics |
| title_auth | Reading, Writing, and Proving A Closer Look at Mathematics |
| title_exact_search | Reading, Writing, and Proving A Closer Look at Mathematics |
| title_full | Reading, Writing, and Proving A Closer Look at Mathematics by Ulrich Daepp, Pamela Gorkin |
| title_fullStr | Reading, Writing, and Proving A Closer Look at Mathematics by Ulrich Daepp, Pamela Gorkin |
| title_full_unstemmed | Reading, Writing, and Proving A Closer Look at Mathematics by Ulrich Daepp, Pamela Gorkin |
| title_short | Reading, Writing, and Proving |
| title_sort | reading writing and proving a closer look at mathematics |
| title_sub | A Closer Look at Mathematics |
| topic | Mathematics Global analysis (Mathematics) Logic, Symbolic and mathematical Number theory Mathematical Logic and Foundations Analysis Number Theory Mathematik Problemlösen (DE-588)4076358-4 gnd Mathematik (DE-588)4037944-9 gnd Aufgabe (DE-588)4126116-1 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Logic, Symbolic and mathematical Number theory Mathematical Logic and Foundations Analysis Number Theory Mathematik Problemlösen Aufgabe Aufgabensammlung |
| url | https://doi.org/10.1007/b97273 |
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