Mathematical, geometrical, and philosophical delights
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Mathematical, geometrical, and philosophical delights containing essays, problems, solutions, theorems, &c. selected from an extensive correspondence. by Thomas Whiting

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Published by Whiting, Davis, Gale, Leybourn, and Kemmish; and sold by T.N. Longman in London .
Written in English

Subjects:

  • Mathematics -- Problems, exercises, etc.,
  • Philosophy -- Miscellanea

Book details:

The Physical Object
Pagination228 p.
Number of Pages228
ID Numbers
Open LibraryOL18997875M

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  Using simple mathematical formulas, most as basic as Pythagoras's theorem and requiring only a very limited knowledge of mathematics, Professor Huntley explores the fascinating relationship between geometry and by: Mathematical Delights is a collection of 90 short elementary gems from algebra, geometry, combinatorics, and number theory. Ross Honsberger presents us with some surprising results, brilliant ideas, and beautiful arguments in mathematics, written in his wonderfully lucid style. The book is a mathematical entertainment to be read at a leisurely pace. Themoremodern interpretation: Geometry treats of entities which are denoted by the words straight line, point, etc. These entities do not take for granted any knowledge or intuition whatever, but they presuppose only the validity of the axioms, such as the one stated above, which are to be taken in a purely formal sense, i.e. as void of all content of intuition or experience. "This book shows that math is more than theorems and proofs—it is full of history, philosophy, and glimpses of different cultures. I was immediately attracted by the book's intriguing and beautiful illustrations, and once I started reading the text, I could not stop following its fascinating stories about the origins of geometrical theorems.

A fun, entertaining exploration of the ideas and people behind the growth of trigonometry Trigonometry has a reputation as a dry, difficult branch of mathematics, a glorified form of geometry complicated by tedious computation. In Trigonometric Delights, Eli Maor dispels this view. The mathematics list encompasses pure and applied mathematics; the history, philosophy, and foundations of mathematics; and the intersection of mathematics with the sciences, the arts, and society. Grounded in the strong intellectual tradition of the Annals of Mathematics Studies, these books contribute to a large and diverse body of mathematical knowledge. EDITOR’S NOTE [page vii] [The note below was written by J. H. Muirhead, LL.D., editor of the Library of Philosophy series in which Introduction to Mathematical Philosophy was originally published.] Those who, relying on the distinction between Mathematical Philosophy and the Philosophy of Mathematics, think that this book is out of place in the present Library, may be referred to what the. One of the mathematical products of the sacred mean is the spiral, commonly found in nature. (Spirals Homepage) The sacred mean is also found in the geometry of the pentagram and its associated pentagon, where the ratio between the sides of the pentagon and its extension into the pentagram also demonstrate a ratio of

This book is not intended for budding mathematicians. It was created for a math program in which most of the students in upper-level math classes are planning to become secondary school teachers. For such students, conventional abstract algebra texts are practically incomprehensible, both in . The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of aims to understand the nature and methods of mathematics, and find out the place of mathematics in people's lives. The logical and structural nature of mathematics itself makes this study both broad and unique among its philosophical counterparts. Philosophy of Constructions Constructions using compass and straightedge have a long history in Euclidean geometry. Their use reflects the basic axioms of this system. However, the stipulation that these be the only tools used in a construction is artificial and only has meaning if one views the process of construction as an application of logic.   As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this Reviews: