Famous Problems Of Geometry And How To Solve Them

Author: Benjamin Bold
Publisher: Courier Corporation
ISBN: 0486137635
Size: 20.92 MB
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Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.

Famous Problems Of Elementary Geometry

Author: Felix Klein
Publisher: Courier Corporation
ISBN: 9780486495514
Size: 67.83 MB
Format: PDF, Kindle
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Widely regarded as a classic of modern mathematics, this expanded version of Felix Klein's celebrated 1894 lectures uses contemporary techniques to examine three famous problems of antiquity: doubling the volume of a cube, trisecting an angle, and squaring a circle. Today's students will find this volume of particular interest in its answers to such questions as: Under what circumstances is a geometric construction possible? By what means can a geometric construction be effected? What are transcendental numbers, and how can you prove that e and pi are transcendental? The straightforward treatment requires no higher knowledge of mathematics. Unabridged reprint of the classic 1930 second edition.

From Geometry To Topology

Author: Graham Flegg
Publisher: Courier Corporation
ISBN: 9780486419619
Size: 45.32 MB
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Introductory text for first-year math students uses intuitive approach, bridges the gap from familiar concepts of geometry to topology. Exercises and Problems. Includes 101 black-and-white illustrations. 1974 edition.

Crc Concise Encyclopedia Of Mathematics

Author: Eric W. Weisstein
Publisher: CRC Press
ISBN: 1420035223
Size: 49.83 MB
Format: PDF, Mobi
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Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

An Introduction To Lebesgue Integration And Fourier Series

Author: Howard J. Wilcox
Publisher: Courier Corporation
ISBN: 9780486682938
Size: 74.98 MB
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This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.

Charles S Peirce Selected Writings

Author: Charles S. Peirce
Publisher: Courier Corporation
ISBN: 0486122948
Size: 12.30 MB
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Science, material, idealism, pragmaticism, history of scientific thought. With Buchler's book, best way to approach notoriously cryptic philosopher. Features 24 selections including "The Place of Our Age in the History of Civilization."

Exploring The Moon Through Binoculars And Small Telescopes

Author: Ernest H. Cherrington
Publisher: Courier Corporation
ISBN: 0486150771
Size: 53.21 MB
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DIVInformative, profusely illustrated guide to locating and identifying craters, rills, seas, mountains, other lunar features. Newly revised and updated with special section of new photos. Over 100 photos and diagrams. /div

Mathematics As Problem Solving

Author: Alexander Soifer
Publisher: Springer Science & Business Media
ISBN: 0387746463
Size: 54.94 MB
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Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving. Each new chapter builds on the previous one, allowing the reader to uncover new methods for using logic to solve problems. Topics are presented in self-contained chapters, with classical solutions as well as Soifer's own discoveries. With roughly 200 different problems, the reader is challenged to approach problems from different angles. Mathematics as Problem Solving is aimed at students from high school through undergraduate levels and beyond, educators, and the general reader interested in the methods of mathematical problem solving.

Geometry Through Problems

Author: Kenneth Peng
Publisher: Createspace Independent Publishing Platform
ISBN: 9781976079467
Size: 44.24 MB
Format: PDF, ePub, Mobi
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Explore Euclidean geometry through 64 carefully selected problems and illustrations focusing on similar triangles, cyclic quadrilaterals, triangle centers, power of a point, dilations, and spiral similarity. Geometry Through Problems aims to introduce fascinating results in geometry while encouraging thinking and problem-solving. Every chapter consists of several problems - often presenting famous results. Each solution is challenging to find, but simple and elegant. The only tools needed are taught in a high school geometry class. The difficulty lies in figuring out how to use these tools. Solve these problems while being guided by numerous hints. This book can serve as a concise introduction to Olympiad-level geometry, as a supplement to a geometry class, or as an interesting read to anybody who enjoys problem-solving. Several famous and beautiful results covered include: - The Euler Line - The Nine Point Circle - The Miquel Point - Simson Lines - Napoleon's Theorem - The Radical Center - The Fermat Points - Apollonian Circles - The Isodyamic Points and many more ...