When least is best: how mathematicians discovered many clever ways to make things as small (or as large) as possible
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton
Princeton University Press
2007, c2004
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| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | "First paperback printing, with a new preface by the author, 2007." Description based on print version record |
| Physical Description: | 1 online resource (xxvi, 372 p.) ill |
| ISBN: | 0691130523 1283303329 1400841364 9780691130521 9781283303323 9781400841363 |
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| 245 | 1 | 0 | |a When least is best |b how mathematicians discovered many clever ways to make things as small (or as large) as possible |c Paul J. Nahin ; with a new preface by the author |
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| 505 | 8 | |a Minimums, maximums, derivatives, and computers -- The first extremal problems -- Medieval maximization and some modern twists -- The forgotten war of Descartes and Fermat -- Calculus steps forward, center stage -- Beyond calculus -- The modern age begins -- Appendix A. The AM-GM Inequality -- Appendix B. The AM-QM Inequality, and Jensen's Inequality. -- Appendix C. "The sagacity of the bees" (the preface to Book 5 of Pappus' Mathematical collection) -- Appendix D. Every convex figure has a perimeter bisector -- Appendix E. The gravitational free-fall descent time along a circle -- Appendix F. The area enclosed by a closed curve -- Appendix G. Beltrami's identity -- Appendix H. The last word on the lost fisherman problem -- Appendix I. Solution to the new challenge problem | |
| 505 | 8 | |a What is the best way to photograph a speeding bullet? Why does light move through glass in the least amount of time possible? How can lost hikers find their way out of a forest? What will rainbows look like in the future? Why do soap bubbles have a shape that gives them the least area? By combining the mathematical history of extrema with contemporary examples, Paul J. Nahin answers these intriguing questions and more in this engaging and witty volume. He shows how life often works at the extremes--with values becoming as small (or as large) as possible | |
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| 650 | 4 | |a Geschichte | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Maxima and minima | |
| 650 | 4 | |a Mathematics |x History | |
| 650 | 4 | |a Calculus |x History | |
| 650 | 4 | |a Mathematical optimization | |
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Record in the Search Index
| _version_ | 1804175388824305664 |
|---|---|
| any_adam_object | |
| author | Nahin, Paul J. |
| author_facet | Nahin, Paul J. |
| author_role | aut |
| author_sort | Nahin, Paul J. |
| author_variant | p j n pj pjn |
| building | Verbundindex |
| bvnumber | BV043031909 |
| collection | ZDB-4-EBA |
| contents | Minimums, maximums, derivatives, and computers -- The first extremal problems -- Medieval maximization and some modern twists -- The forgotten war of Descartes and Fermat -- Calculus steps forward, center stage -- Beyond calculus -- The modern age begins -- Appendix A. The AM-GM Inequality -- Appendix B. The AM-QM Inequality, and Jensen's Inequality. -- Appendix C. "The sagacity of the bees" (the preface to Book 5 of Pappus' Mathematical collection) -- Appendix D. Every convex figure has a perimeter bisector -- Appendix E. The gravitational free-fall descent time along a circle -- Appendix F. The area enclosed by a closed curve -- Appendix G. Beltrami's identity -- Appendix H. The last word on the lost fisherman problem -- Appendix I. Solution to the new challenge problem What is the best way to photograph a speeding bullet? Why does light move through glass in the least amount of time possible? How can lost hikers find their way out of a forest? What will rainbows look like in the future? Why do soap bubbles have a shape that gives them the least area? By combining the mathematical history of extrema with contemporary examples, Paul J. Nahin answers these intriguing questions and more in this engaging and witty volume. He shows how life often works at the extremes--with values becoming as small (or as large) as possible |
| ctrlnum | (OCoLC)758334112 (DE-599)BVBBV043031909 |
| dewey-full | 511.66 511/.66 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.66 511/.66 |
| dewey-search | 511.66 511/.66 |
| dewey-sort | 3511.66 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| era | Geschichte gnd |
| era_facet | Geschichte |
| format | Electronic eBook |
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| id | DE-604.BV043031909 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:15:30Z |
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| isbn | 0691130523 1283303329 1400841364 9780691130521 9781283303323 9781400841363 |
| language | English |
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| physical | 1 online resource (xxvi, 372 p.) ill |
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| spelling | Nahin, Paul J. Verfasser aut When least is best how mathematicians discovered many clever ways to make things as small (or as large) as possible Paul J. Nahin ; with a new preface by the author Princeton Princeton University Press 2007, c2004 1 online resource (xxvi, 372 p.) ill txt rdacontent c rdamedia cr rdacarrier "First paperback printing, with a new preface by the author, 2007." Description based on print version record Minimums, maximums, derivatives, and computers -- The first extremal problems -- Medieval maximization and some modern twists -- The forgotten war of Descartes and Fermat -- Calculus steps forward, center stage -- Beyond calculus -- The modern age begins -- Appendix A. The AM-GM Inequality -- Appendix B. The AM-QM Inequality, and Jensen's Inequality. -- Appendix C. "The sagacity of the bees" (the preface to Book 5 of Pappus' Mathematical collection) -- Appendix D. Every convex figure has a perimeter bisector -- Appendix E. The gravitational free-fall descent time along a circle -- Appendix F. The area enclosed by a closed curve -- Appendix G. Beltrami's identity -- Appendix H. The last word on the lost fisherman problem -- Appendix I. Solution to the new challenge problem What is the best way to photograph a speeding bullet? Why does light move through glass in the least amount of time possible? How can lost hikers find their way out of a forest? What will rainbows look like in the future? Why do soap bubbles have a shape that gives them the least area? By combining the mathematical history of extrema with contemporary examples, Paul J. Nahin answers these intriguing questions and more in this engaging and witty volume. He shows how life often works at the extremes--with values becoming as small (or as large) as possible Geschichte gnd rswk-swf Mathematics MATHEMATICS / Combinatorics bisacsh MATHEMATICS / History & Philosophy bisacsh Geschichte Mathematik Maxima and minima Mathematics History Calculus History Mathematical optimization Extremwert (DE-588)4137272-4 gnd rswk-swf Extremwert (DE-588)4137272-4 s Geschichte z 1\p DE-604 Erscheint auch als Druck-Ausgabe Nahin, Paul J . When Least Is Best : How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=399090 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nahin, Paul J. When least is best how mathematicians discovered many clever ways to make things as small (or as large) as possible Minimums, maximums, derivatives, and computers -- The first extremal problems -- Medieval maximization and some modern twists -- The forgotten war of Descartes and Fermat -- Calculus steps forward, center stage -- Beyond calculus -- The modern age begins -- Appendix A. The AM-GM Inequality -- Appendix B. The AM-QM Inequality, and Jensen's Inequality. -- Appendix C. "The sagacity of the bees" (the preface to Book 5 of Pappus' Mathematical collection) -- Appendix D. Every convex figure has a perimeter bisector -- Appendix E. The gravitational free-fall descent time along a circle -- Appendix F. The area enclosed by a closed curve -- Appendix G. Beltrami's identity -- Appendix H. The last word on the lost fisherman problem -- Appendix I. Solution to the new challenge problem What is the best way to photograph a speeding bullet? Why does light move through glass in the least amount of time possible? How can lost hikers find their way out of a forest? What will rainbows look like in the future? Why do soap bubbles have a shape that gives them the least area? By combining the mathematical history of extrema with contemporary examples, Paul J. Nahin answers these intriguing questions and more in this engaging and witty volume. He shows how life often works at the extremes--with values becoming as small (or as large) as possible Mathematics MATHEMATICS / Combinatorics bisacsh MATHEMATICS / History & Philosophy bisacsh Geschichte Mathematik Maxima and minima Mathematics History Calculus History Mathematical optimization Extremwert (DE-588)4137272-4 gnd |
| subject_GND | (DE-588)4137272-4 |
| title | When least is best how mathematicians discovered many clever ways to make things as small (or as large) as possible |
| title_auth | When least is best how mathematicians discovered many clever ways to make things as small (or as large) as possible |
| title_exact_search | When least is best how mathematicians discovered many clever ways to make things as small (or as large) as possible |
| title_full | When least is best how mathematicians discovered many clever ways to make things as small (or as large) as possible Paul J. Nahin ; with a new preface by the author |
| title_fullStr | When least is best how mathematicians discovered many clever ways to make things as small (or as large) as possible Paul J. Nahin ; with a new preface by the author |
| title_full_unstemmed | When least is best how mathematicians discovered many clever ways to make things as small (or as large) as possible Paul J. Nahin ; with a new preface by the author |
| title_short | When least is best |
| title_sort | when least is best how mathematicians discovered many clever ways to make things as small or as large as possible |
| title_sub | how mathematicians discovered many clever ways to make things as small (or as large) as possible |
| topic | Mathematics MATHEMATICS / Combinatorics bisacsh MATHEMATICS / History & Philosophy bisacsh Geschichte Mathematik Maxima and minima Mathematics History Calculus History Mathematical optimization Extremwert (DE-588)4137272-4 gnd |
| topic_facet | Mathematics MATHEMATICS / Combinatorics MATHEMATICS / History & Philosophy Geschichte Mathematik Maxima and minima Mathematics History Calculus History Mathematical optimization Extremwert |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=399090 |
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