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Dolciani Mathematical Expositions Ser.: Maxima and Minima Without Calculus by Ivan Morton Niven (1982, Hardcover)

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Product Information

The purpose of this book is to put together in one place the basic elementary techniques for solving problems in maxima minima other than the methods of calculus and linear programming. The emphasis is not on individual problems, but on methods that solve large classes of problems. The many chapters of the book can be read independently, without references to what precedes or follows. Besides the many problems solved in the book, others are left to the reader to solve, with sketches of solutions given in the later pages.

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
088385306x
ISBN-13
9780883853061
eBay Product ID (ePID)
19038426540

Product Key Features

Author
Ivan Morton Niven
Publication Name
Maxima and Minima Without Calculus
Format
Hardcover
Language
English
Series
Dolciani Mathematical Expositions Ser.
Publication Year
1982
Type
Textbook
Number of Pages
303 Pages

Dimensions

Item Length
8.5in
Item Height
0.8in
Item Width
5.4in
Item Weight
16.8 Oz

Additional Product Features

Series Volume Number
Vol. 6
Lc Classification Number
Qa306 .N58 1981
Reviews
'As befits a volume in the Dolciani series, the expository style is above reproach: it is particularly impressive that the author manages, without frightening his readers, to be honest about the difference between a proof which assumes the existence of an extremal solution and one which does not. This is a book which deserves to be read very widely.' Times Higher Education Supplement, 'A book superb in its exposition and teeming with a variety of elegant mathematical results... All instructors in calculus courses should keep this book within easy reach and administer generous doses of its contents to students who are seized by a fit of differentiation frenzy when confronted with any kind of extremum problem.' Mathematical Reviews, 'â€¦ An endless source of fascinating problems which appear at first thought to be elementary, but usually turn out to be unresponsive to normal methods, with elegant and easily understandable solutions by the methods given in the text.' The Mathematical Gazette, ‘A book superb in its exposition and teeming with a variety of elegant mathematical results... All instructors in calculus courses should keep this book within easy reach and administer generous doses of its contents to students who are seized by a fit of differentiation frenzy when confronted with any kind of extremum problem.’Mathematical Reviews, ‘As befits a volume in the Dolciani series, the expository style is above reproach: it is particularly impressive that the author manages, without frightening his readers, to be honest about the difference between a proof which assumes the existence of an extremal solution and one which does not. This is a book which deserves to be read very widely.’Times Higher Education Supplement, 'The purpose of this book is to put together in one place the basic elementary techniques for solving problems in maxima and minima other than the methods of calculus and linear programming. [The emphasis is] on methods that solve large classes of problems.' L'enseignement mathematique, '... An endless source of fascinating problems which appear at first thought to be elementary, but usually turn out to be unresponsive to normal methods, with elegant and easily understandable solutions by the methods given in the text.' The Mathematical Gazette, ‘… An endless source of fascinating problems which appear at first thought to be elementary, but usually turn out to be unresponsive to normal methods, with elegant and easily understandable solutions by the methods given in the text.’The Mathematical Gazette, "A book superb in its exposition and teeming with a variety of elegant mathematical results. All instructors in calculus courses should keep this book within easy reach and administer generous doses of its contents to students who are seized by a fit of differentiation frenzy when confronted with any kind of extremum problem."" - G. D . Chakerian, Mathematical Reviews ""As befits a volume in the Dolciani series, the expository style is above reproach: it is particularly impressive that the author manages, without frightening his readers to be honest about the difference between a proof which assumes the existence of an extremal solution and one which does not. This is a book which deserves to be read very widely."" - P.T. Johnstone, Times Higher Education Supplement, London
Table of Content
Preface; 1. Background material; 2. Simple algebraic results; 3. Elementary geometric questions; 4. Isoperimetric results; 5. Basic trigonometric inequalities; 6. Polygons inscribed and circumscribed; 7. Ellipses; 8. The bees and their hexagons; 9. Further geometric results; 10. Applied and miscellaneous problems; 11. Euclidean three-space; 12. Isoperimetric results not assuming existence; Postscript on calculus; Solutions of problems; References; Index.
Copyright Date
2006
Target Audience
College Audience
Topic
Topology, Mathematical Analysis
Lccn
80-081045
Dewey Decimal
511.66
Dewey Edition
22
Illustrated
Yes
Genre
Mathematics

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item 1 Maxima and Minima Without Calculus Hardcover Ivan Morton Niven
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item 4 MAXIMA AND MINIMA WITHOUT CALCULUS (DOLCIANI MATHEMATICAL By Ivan Niven & Lester
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Dolciani Mathematical Expositions Ser.: Maxima and Minima Without Calculus by Ivan Morton Niven (1982, Hardcover)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 Maxima and Minima Without Calculus Hardcover Ivan Morton Niven

item 2 Maxima and Minima Without Calculus Hardcover Ivan Morton Niven

item 3 Maxima and Minima Without Calculus by Niven, Ivan

item 4 MAXIMA AND MINIMA WITHOUT CALCULUS (DOLCIANI MATHEMATICAL By Ivan Niven & Lester

item 5 Maxima and Minima Without Calculus [Dolciani Mathematical Expositions]

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