Famous Problems Of Geometry And How To Solve Them PDF Download
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Author | : Benjamin Bold |
Publisher | : Courier Corporation |
Total Pages | : 144 |
Release | : 2012-05-11 |
Genre | : Science |
ISBN | : 0486137635 |
Download Famous Problems of Geometry and How to Solve Them Book in PDF, ePub and Kindle
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.
Author | : Benjamin Bold |
Publisher | : |
Total Pages | : 112 |
Release | : 1969 |
Genre | : Geometry |
ISBN | : |
Download Famous Problems of Geometry and how to Solve Them Book in PDF, ePub and Kindle
Author | : E.A. Maxwell |
Publisher | : Courier Dover Publications |
Total Pages | : 192 |
Release | : 2016-01-14 |
Genre | : Mathematics |
ISBN | : 0486809250 |
Download Deductive Geometry Book in PDF, ePub and Kindle
This concise review examines the geometry of the straight line, circle, plane, and sphere as well as their associated configurations, including the triangle and the cylinder. Aimed at university undergraduates, the treatment is also useful for advanced students at the secondary level. The straightforward approach begins with a recapitulation of previous work on the subject, proceeding to explorations of advanced plane geometry, solid geometry with some reference to the geometry of the sphere, and a chapter on the nature of space, including considerations of such properties as congruence, similarity, and symmetry. The text concludes with a brief account of the elementary transformations of projection and inversion. Numerous examples appear throughout the book.
Author | : Felix Klein |
Publisher | : Cosimo, Inc. |
Total Pages | : 97 |
Release | : 2007-05-01 |
Genre | : Mathematics |
ISBN | : 1602064172 |
Download Famous Problems of Elementary Geometry Book in PDF, ePub and Kindle
"This short book, first published in 1897, addresses three geometry puzzles that have been passed down from ancient times. Written for high school students, this book aims to show a younger audience why math should matter and to make the problems found in math intriguing. Klein presents for his readers an investigation of the possibility or impossibility of finding solutions for the following problems in light of mathematics available to him: duplication of the cube trisection of an angle quadrature of the circle Mathematicians and students of the history of math will find this an intriguing work. German mathematician FELIX KLEIN (1849 1925), a great teacher and scientific thinker, significantly advanced the field of mathematical physics and made a number of profound discoveries in the field of geometry. His published works include Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis and Elementary Mathematics from an Advanced Standpoint: Geometry."
Author | : Alfred S. Posamentier |
Publisher | : Courier Corporation |
Total Pages | : 275 |
Release | : 2012-04-30 |
Genre | : Mathematics |
ISBN | : 0486134865 |
Download Challenging Problems in Geometry Book in PDF, ePub and Kindle
Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.
Author | : Evan Chen |
Publisher | : American Mathematical Soc. |
Total Pages | : 311 |
Release | : 2021-08-23 |
Genre | : Education |
ISBN | : 1470466201 |
Download Euclidean Geometry in Mathematical Olympiads Book in PDF, ePub and Kindle
This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.
Author | : Felix Klein |
Publisher | : |
Total Pages | : 321 |
Release | : 1962 |
Genre | : Calculus of tensors |
ISBN | : 9780828401081 |
Download Famous Problems, and Other Monographs Book in PDF, ePub and Kindle
Author | : Ellina Grigorieva |
Publisher | : Springer Science & Business Media |
Total Pages | : 234 |
Release | : 2013-08-13 |
Genre | : Mathematics |
ISBN | : 331900705X |
Download Methods of Solving Complex Geometry Problems Book in PDF, ePub and Kindle
This book is a unique collection of challenging geometry problems and detailed solutions that will build students’ confidence in mathematics. By proposing several methods to approach each problem and emphasizing geometry’s connections with different fields of mathematics, Methods of Solving Complex Geometry Problems serves as a bridge to more advanced problem solving. Written by an accomplished female mathematician who struggled with geometry as a child, it does not intimidate, but instead fosters the reader’s ability to solve math problems through the direct application of theorems. Containing over 160 complex problems with hints and detailed solutions, Methods of Solving Complex Geometry Problems can be used as a self-study guide for mathematics competitions and for improving problem-solving skills in courses on plane geometry or the history of mathematics. It contains important and sometimes overlooked topics on triangles, quadrilaterals, and circles such as the Menelaus-Ceva theorem, Simson’s line, Heron’s formula, and the theorems of the three altitudes and medians. It can also be used by professors as a resource to stimulate the abstract thinking required to transcend the tedious and routine, bringing forth the original thought of which their students are capable. Methods of Solving Complex Geometry Problems will interest high school and college students needing to prepare for exams and competitions, as well as anyone who enjoys an intellectual challenge and has a special love of geometry. It will also appeal to instructors of geometry, history of mathematics, and math education courses.
Author | : Felix Klein |
Publisher | : Courier Corporation |
Total Pages | : 136 |
Release | : 2003-01-01 |
Genre | : Mathematics |
ISBN | : 9780486495514 |
Download Famous Problems of Elementary Geometry Book in PDF, ePub and Kindle
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.
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 221 |
Release | : 2015-05-01 |
Genre | : Geometry |
ISBN | : 1599732998 |
Download Compiled and Solved Problems in Geometry and Trigonometry Book in PDF, ePub and Kindle
This book is a translation from Romanian of "Probleme Compilate şi Rezolvate de Geometrie şi Trigonometrie" (University of Kishinev Press, Kishinev, 169 p., 1998), and includes problems of 2D and 3D Euclidean geometry plus trigonometry, compiled and solved from the Romanian Textbooks for 9th and 10th grade students.