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Writing proofs in analysis /
Publisher’s description: This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard “transition” approach to teach...
| Main Author: | |
|---|---|
| Format: | Printed Book |
| Language: | English |
| Published: |
Switzerland:
Springer,
2016.
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| Online Access: | Contributor biographical information Publisher description Table of contents only |
| LEADER | 02335cam a22002535i 4500 | ||
|---|---|---|---|
| 008 | 160322s2016 nyu 000 0 eng | ||
| 999 | |c 333586 |d 333586 | ||
| 010 | |a 2016936668 | ||
| 020 | |a 9783319309651 | ||
| 042 | |a pcc | ||
| 084 | |2 msc |a 00A35 | ||
| 100 | 1 | |a Kane, Jonathan Michael. | |
| 245 | 1 | 0 | |a Writing proofs in analysis / |c Jonathan Michael Kane. |
| 260 | |a Switzerland: |b Springer, |c 2016. | ||
| 300 | |a xvi,347p; | ||
| 520 | |a Publisher’s description: This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard “transition” approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical induction, and presented with a series of well-written proofs to mimic, this textbook teaches what a student needs to be thinking about when trying to construct a proof. Covering the fundamentals of analysis sufficient for a typical beginning Real Analysis course, it never loses sight of the fact that its primary focus is about proof writing skills. This book aims to give the student precise training in the writing of proofs by explaining exactly what elements make up a correct proof, how one goes about constructing an acceptable proof, and, by learning to recognize a correct proof, how to avoid writing incorrect proofs. To this end, all proofs presented in this text are preceded by detailed explanations describing the thought process one goes through when constructing the proof. Over 150 example proofs, templates, and axioms are presented alongside full-color diagrams to elucidate the topics at hand. | ||
| 856 | 4 | 2 | |3 Contributor biographical information |u https://www.loc.gov/catdir/enhancements/fy1613/2016936668-b.html |
| 856 | 4 | 2 | |3 Publisher description |u https://www.loc.gov/catdir/enhancements/fy1613/2016936668-d.html |
| 856 | 4 | 1 | |3 Table of contents only |u https://www.loc.gov/catdir/enhancements/fy1613/2016936668-t.html |
| 942 | |c BK | ||
| 263 | |a 1605 | ||
| 906 | |a 0 |b ibc |c orignew |d 2 |e epcn |f 20 |g y-gencatlg | ||
| 955 | |a pc17 2016-03-22 | ||
| 952 | |0 0 |1 0 |2 ddc |4 0 |6 00A35_KAN |7 0 |9 381266 |a MAT |b MAT |c ST1 |d 2019-04-05 |i 7120 |l 0 |o 00A35 KAN |p MAT7120 |r 2019-04-05 |y BK | ||