Geometric Inequalities

Author:   Nicholas D. Kazarinoff
Publisher:   Mathematical Association of America
Volume:   4
ISBN:  

9780883856048


Pages:   132
Publication Date:   01 December 1961
Format:   Paperback
Availability:   Awaiting stock   Availability explained


Our Price $52.67 Quantity:  
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Geometric Inequalities


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Full Product Details

Author:   Nicholas D. Kazarinoff
Publisher:   Mathematical Association of America
Imprint:   Mathematical Association of America
Volume:   4
Weight:   0.181kg
ISBN:  

9780883856048


ISBN 10:   0883856042
Pages:   132
Publication Date:   01 December 1961
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Unknown
Availability:   Awaiting stock   Availability explained

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Reviews

"Kazarinoff's 'Geometric Inequalities' will appeal to those who are already inclined toward mathematics. It proves a number of interesting inequalities; for example, of all triangles with the same perimeter, the equilateral triangle has the greatest area; of all quadrilaterals with a given area, the square has least perimeter; and the famous Steiner theorem, the circle has more area than any other plane figure with the same perimeter. The writing is honest. The author labels difficult what is difficult and does not pretend that to the master mind (who is usually the author) all things are simple. The text suggests guessing, conjecturing, and then proving. The author does not hesitate to offer a proof of his own which; he points out, he later found to be incorrect. The device of putting a proof of a general theorem in one column and a concrete case alongside could be more widely employed by others.""""- MAA Reviewer"


Kazarinoff's 'Geometric Inequalities' will appeal to those who are already inclined toward mathematics. It proves a number of interesting inequalities; for example, of all triangles with the same perimeter, the equilateral triangle has the greatest area; of all quadrilaterals with a given area, the square has least perimeter; and the famous Steiner theorem, the circle has more area than any other plane figure with the same perimeter. The writing is honest. The author labels difficult what is difficult and does not pretend that to the master mind (who is usually the author) all things are simple. The text suggests guessing, conjecturing, and then proving. The author does not hesitate to offer a proof of his own which; he points out, he later found to be incorrect. The device of putting a proof of a general theorem in one column and a concrete case alongside could be more widely employed by others. - MAA Reviewer


Kazarinoff's 'Geometric Inequalities' will appeal to those who are already inclined toward mathematics. It proves a number of interesting inequalities; for example, of all triangles with the same perimeter, the equilateral triangle has the greatest area; of all quadrilaterals with a given area, the square has least perimeter; and the famous Steiner theorem, the circle has more area than any other plane figure with the same perimeter. The writing is honest. The author labels difficult what is difficult and does not pretend that to the master mind (who is usually the author) all things are simple. The text suggests guessing, conjecturing, and then proving. The author does not hesitate to offer a proof of his own which; he points out, he later found to be incorrect. The device of putting a proof of a general theorem in one column and a concrete case alongside could be more widely employed by others.""""- MAA Reviewer


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