Famous Problems Of Geometry And How To Solve Them
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Famous Problems Of Geometry And How To Solve Them
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Author : Benjamin Bold
language : en
Publisher:
Release Date : 1969
Famous Problems Of Geometry And How To Solve Them written by Benjamin Bold and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Geometry categories.
Famous Problems Of Geometry And How To Solve Them
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Author : Benjamin Bold
language : en
Publisher: Courier Corporation
Release Date : 2012-05-11
Famous Problems Of Geometry And How To Solve Them written by Benjamin Bold and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-11 with Science categories.
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
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Author : Felix Klein
language : en
Publisher: Cosimo, Inc.
Release Date : 2007-05-01
Famous Problems Of Elementary Geometry written by Felix Klein and has been published by Cosimo, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-01 with Mathematics categories.
"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."
Methods Of Solving Complex Geometry Problems
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Author : Ellina Grigorieva
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-13
Methods Of Solving Complex Geometry Problems written by Ellina Grigorieva and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-13 with Mathematics categories.
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.
Tales Of Impossibility
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Author : David S. Richeson
language : en
Publisher: Princeton University Press
Release Date : 2021-11-02
Tales Of Impossibility written by David S. Richeson and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-02 with Mathematics categories.
A comprehensive look at four of the most famous problems in mathematics Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems—squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle—have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs—which demonstrated the impossibility of solving them using only a compass and straightedge—depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Viète, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.
Famous Problems And Other Monographs
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Author : Felix Klein
language : en
Publisher: American Mathematical Soc.
Release Date : 1962
Famous Problems And Other Monographs written by Felix Klein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Analyse combinatoire categories.
This title contains four volumes in one: ""Famous Problems of Elementary Geometry"", by Klein. It is a fascinating, simple, easily understandable account of the famous problems of Geometry - The Duplication of the Cube, Trisection of the Angle, Squaring of the Circle - and the proofs that these cannot be solved by ruler and compass. It is suitably presented to undergraduates, with no calculus required. Also, the work includes problems about transcendental numbers, the existence of such numbers, and proofs of the transcendence of $e$. ""From Determinant to Tensor"", by Sheppard. It is a novel and simple introduction to tensors.'An excellent little book, the aim of which is to familiarize the student with tensors and to give an idea of their applications. We wish to recommend the book heartily...The beginner will find the book a valuable introduction and the expert an interesting review with a refreshing novelty of presentation' - ""Bulletin of the AMS"". Chapter headings include: Origin of Determinants; Properties of Determinants; Solution of Simultaneous Equations; Properties; Tensor Notation; Sets; Cogredience, etc.; Examples from Statistics; Tensors in Theory of Relativity; and, Introduction to Combinatory Analysis, by MacMahon.This is an introduction to the author's two-volume work. It includes Three Lectures on Fermat's Last Theorem by Mordell. This famous problem is so easy that a high-school student might not unreasonably hope to solve it: it is so difficult that as of the 1962 publication date of this book, tens of thousands of amateur and professional mathematicians, Euler and Gauss among them, failed to find a complete solution. Mordell himself had a solution (as he said he did). This work is one of the masterpieces of mathematical exposition.
Famous Problems Of Elementary Geometry
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Author : Felix Klein
language : en
Publisher:
Release Date : 1897
Famous Problems Of Elementary Geometry written by Felix Klein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1897 with Geometry categories.
Famous Problems Of Elementary Geometry
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Author : Felix Klein
language : en
Publisher: Courier Corporation
Release Date : 2003-01-01
Famous Problems Of Elementary Geometry written by Felix Klein and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Mathematics categories.
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.
Problems And Solutions In Mathematics
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Author : Li Ta-Tsien
language : en
Publisher: World Scientific Publishing Company
Release Date : 1998-07-22
Problems And Solutions In Mathematics written by Li Ta-Tsien and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-22 with Mathematics categories.
This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. The depth of knowledge involved is not beyond the contents of the textbooks for graduate students, while solution of the problems requires deep understanding of the mathematical principles and skilled techniques. For students this book is a valuable complement to textbooks; for lecturers teaching graduate school mathematics, a helpful reference.
Famous Problems Of Elementary Geometry Year 1897
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Author : Wooster Woodruff Beman and David Eugene
language : en
Publisher: Legare Street Press
Release Date : 2023-07-18
Famous Problems Of Elementary Geometry Year 1897 written by Wooster Woodruff Beman and David Eugene and has been published by Legare Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-18 with categories.
This book, published in 1897, presents an overview of elementary geometry and its famous problems, such as the angle trisection and the duplication of the cube. The authors provide historical context and mathematical explanations, making it accessible to both students and enthusiasts of the subject. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.