MARC details
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02859nam a22002417a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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IIITD |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20231212181614.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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231212b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780691130521 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
IIITD |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
511.66 |
| Item number |
NAH-W |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Nahin, Paul J. |
| 245 ## - TITLE STATEMENT |
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| Title |
When least is best : |
| Remainder of title |
how mathematicians discovered many clever ways to make things as small (or as large) as possible |
| Statement of responsibility, etc |
by Paul J. Nahin |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Princeton University Press, |
| Place of publication, distribution, etc |
New Jersey : |
| Date of publication, distribution, etc |
©2004 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xxvi, 372 p. : |
| Other physical details |
ill. ; |
| Dimensions |
24 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
This book includes an index. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
1. Minimums, Maximums, Derivatives, and Computers |
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1.1 Introduction 1.2 When Derivatives Don't Work 1.3 Using Algebra to Find Minimums 1.4 A Civil Engineering Problem 1.5 The AM-GM Inequality 1.6 Derivatives from Physics 1.7 Minimizing with a Computer |
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2. The First Extremal Problems |
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2.1 The Ancient Confusion of Length and Area 2.2 Dido' Problem and the Isoperimetric Quotient 2.3 Steiner '"Solution" to Dido' Problem 56 2.4 How Steiner Stumbled 2.5 A "Hard "Problem with an Easy Solution 2.6 Fagnano' Problem |
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3. Medieval Maximization and Some Modern Twists |
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3.1 The Regiomontanus Problem 3.2 The Saturn Problem 3.3 The Envelope-Folding Problem 3.4 The Pipe-and-Corner Problem 3.5 Regiomontanus Redux 3.6 The Muddy Wheel Problem |
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4. The Forgotten War of Descartes and Fermat |
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4.1 Two Very Different Men 4.2 Snell' Law 4.3 Fermat, Tangent Lines, and Extrema 4.4 The Birth of the Derivative 4.5 Derivatives and Tangents 4.6 Snell' Law and the Principle of Least Time 4.7 A Popular Textbook Problem 4.8 Snell' Law and the Rainbow |
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5. Calculus Steps Forward, Center Stage |
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5.1 The Derivative:Controversy and Triumph 5.2 Paintings Again, and Kepler' Wine Barrel 5.3 The Mailable Package Paradox 5.4 Projectile Motion in a Gravitational Field 5.5 The Perfect Basketball Shot 5.6 Halley Gunnery Problem 5.7 De L' Hospital and His Pulley Problem, and a New Minimum Principle 5.8 Derivatives and the Rainbow |
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6. Beyond Calculus |
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6.1 Galileo'Problem 6.2 The Brachistochrone Problem 6.3 Comparing Galileo and Bernoulli 6.4 The Euler-Lagrange Equation 6.5 The Straight Line and the Brachistochrone 6.6 Galileo' Hanging Chain 6.7 The Catenary Again 6.8 The Isoperimetric Problem, Solved (at last!) 6.9 Minimal Area Surfaces, Plateau' Problem, and Soap Bubbles 6.10 The Human Side of Minimal Area Surfaces |
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7. The Modern Age Begins |
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7.1 The Fermat/Steiner Problem 7.2 Digging the Optimal Trench, Paving the Shortest Mail Route, and Least-Cost Paths through Directed Graphs 7.3 The Traveling Salesman Problem 7.4 Minimizing with Inequalities (Linear Programming) 7.5 Minimizing by Working Backwards (Dynamic Programming) |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Maxima and minima |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematical optimization |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Calculus |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
