Stories about maxima and minima / V.M. Tikhomirov ; translated from the Russian by Abe Shenitzer.

Format:

Book

Author/Creator:

Tikhomirov, V. M. (Vladimir Mikhaĭlovich), 1934- author.

Series:

Mathematical World, 2380-5692 ; v. 1

Standardized Title:

Rasskazy o maksimumakh i minimumakh. English

Language:

English

Russian

Subjects (All):

Maxima and minima.

Calculus of variations.

Mathematical optimization.

Physical Description:

1 online resource (xi, 187 pages) : illustrations

Place of Publication:

Providence, R.I. : American Mathematical Society ; [Washington, D.C.] : Mathematical Association of America, c1990.

System Details:

Mode of access : World Wide Web

Contents:

1. Part One. Ancient Maximum and Minimum Problems 2. The first story. Why Do We Solve Maximum and Minimum Problems? 3. The second story. The Oldest Problem

Dido's Problem 4. The third story. Maxima and Minima in Nature (Optics) 5. The fourth story. Maxima and Minima in Geometry 6. The fifth story. Maxima and Minima in Algebra and in Analysis 7. The sixth story. Kepler's Problem 8. The seventh story. The Brachistochrone 9. The eighth story. Newton's Aerodynamical Problem 10. Part Two. Methods of Solution of Extremal Problems 11. The ninth story. What is a Function? 12. The tenth story. What is an Extremal Problem? 13. The eleventh story. Extrema of Functions of One Variable 14. The twelfth story. Extrema of Functions of Many Variables. The Lagrange Principle 15. The thirteenth story. More Problem Solving 16. The fourteenth story. What Happened Later in the Theory of Extremal Problems? 17. The last story. More Accurately, a Discussion

Notes:

Translation of: Rasskazy o maksimumakh i minimumakh.

Includes bibliographical references (pages 187).

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Tikhomirov, V. M. 1934- Stories about maxima and minima /

ISBN:

9781470424695 (online)

Access Restriction:

Restricted for use by site license.