Maxima and Minima without Calculus by Ivan Niven, Lester H. Lance
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About this book :-
Maxima and Minima without Calculus written by
Ivan Niven, Lester H. Lance .
The purpose of the 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 not on individual problems, but on methods that solve large classes of problems. These methods are organized in terms of the mathematical ideas used, whether from algebra, geometry, the theory of inequalities, and so on. 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.
(Ivan Morton Niven)
Book Detail :-
Title: Maxima and Minima without Calculus
Edition:
Author(s): Ivan Niven, Lester H. Lance
Publisher: Mathematical Association of America
Series: The Dolciani mathematical expositions 6
Year: 1981
Pages: 315
Type: PDF
Language: English
ISBN: 9780883853061,088385306X
Country: US
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About Author :-
The author Ivan Morton Niven (1915–1999) was a Canadian-American mathematician, specializing in number theory and known for his work on Waring's problem. He worked for many years as a professor at the University of Oregon, and was president of the Mathematical Association of America. He was the author of several books on mathematics. Niven was born in Vancouver. He did his undergraduate studies at the University of British Columbia and was awarded his doctorate in 1938 from the University of Chicago. He was a member of the University of Oregon faculty from 1947 to his retirement in 1981. He was president of the Mathematical Association of America (MAA) from 1983 to 1984. He died in 1999 in Eugene, Oregon.
Niven received the University of Oregon's Charles E. Johnson Award in 1981. He received the MAA Distinguished Service Award in 1989. He won a Lester R. Ford Award in 1970. In 2000, the asteroid 12513 Niven, discovered in 1998, was named after him.
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Book Contents :-
Maxima and Minima without Calculus written by
Ivan Niven, Lester H. Lance
cover the following topics.
'
1. Background Material
2. Simple Algebraic Results
3. Elementry Geometric Questions
4. Isoperimetric Results
5. Basic Trigomometric Inequalities
6. Polygons Inscribed and Circumscribed
7. Ellipes
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 of Calculus
Solution of Problems
Refrences
Index
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