Famous Problems of Elementary Geometry (Year 1897)

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Publisher : Legare Street Press
ISBN 13 : 9781022539006
Total Pages : 0 pages
Book Rating : 4.5/5 (39 download)

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Book Synopsis Famous Problems of Elementary Geometry (Year 1897) by : Wooster Woodruff Beman and David Eugene

Download or read book Famous Problems of Elementary Geometry (Year 1897) written by Wooster Woodruff Beman and David Eugene and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Famous Problems of Elementary Geometry

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Author :
Publisher : Cosimo, Inc.
ISBN 13 : 1602064172
Total Pages : 97 pages
Book Rating : 4.6/5 (2 download)

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Book Synopsis Famous Problems of Elementary Geometry by : Felix Klein

Download or read book Famous Problems of Elementary Geometry written by Felix Klein and published by Cosimo, Inc.. This book was released on 2007-05-01 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."

A History of Folding in Mathematics

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Publisher : Birkhäuser
ISBN 13 : 3319724878
Total Pages : 430 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis A History of Folding in Mathematics by : Michael Friedman

Download or read book A History of Folding in Mathematics written by Michael Friedman and published by Birkhäuser. This book was released on 2018-05-25 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is cube root of 2 with these instruments – the discovery of the Italian mathematician Margherita Beloch Piazzolla in 1934 that one can in fact construct a segment of length cube root of 2 with a single paper fold was completely ignored (till the end of the 1980s). This comes as no surprise, since with few exceptions paper folding was seldom considered as a mathematical practice, let alone as a mathematical procedure of inference or proof that could prompt novel mathematical discoveries. A few questions immediately arise: Why did paper folding become a non-instrument? What caused the marginalisation of this technique? And how was the mathematical knowledge, which was nevertheless transmitted and prompted by paper folding, later treated and conceptualised? Aiming to answer these questions, this volume provides, for the first time, an extensive historical study on the history of folding in mathematics, spanning from the 16th century to the 20th century, and offers a general study on the ways mathematical knowledge is marginalised, disappears, is ignored or becomes obsolete. In doing so, it makes a valuable contribution to the field of history and philosophy of science, particularly the history and philosophy of mathematics and is highly recommended for anyone interested in these topics.

Bulletin (new Series) of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 596 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Bulletin (new Series) of the American Mathematical Society by :

Download or read book Bulletin (new Series) of the American Mathematical Society written by and published by . This book was released on 1898 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bulletin of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 660 pages
Book Rating : 4.U/5 (183 download)

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Book Synopsis Bulletin of the American Mathematical Society by : American Mathematical Society

Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1915 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Americana

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Publisher :
ISBN 13 :
Total Pages : 834 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Americana by :

Download or read book The Americana written by and published by . This book was released on 1923 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Who's who in America

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Publisher :
ISBN 13 :
Total Pages : 3538 pages
Book Rating : 4.3/5 (117 download)

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Book Synopsis Who's who in America by :

Download or read book Who's who in America written by and published by . This book was released on 1923 with total page 3538 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tales of Impossibility

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Publisher : Princeton University Press
ISBN 13 : 0691218722
Total Pages : 450 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Tales of Impossibility by : David S. Richeson

Download or read book Tales of Impossibility written by David S. Richeson and published by Princeton University Press. This book was released on 2021-11-02 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

History of the University of Michigan

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Publisher :
ISBN 13 :
Total Pages : 402 pages
Book Rating : 4.:/5 (334 download)

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Book Synopsis History of the University of Michigan by : Burke Aaron Hinsdale

Download or read book History of the University of Michigan written by Burke Aaron Hinsdale and published by . This book was released on 1906 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The New International Encyclopædia

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Publisher :
ISBN 13 :
Total Pages : 870 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis The New International Encyclopædia by : Frank Moore Colby

Download or read book The New International Encyclopædia written by Frank Moore Colby and published by . This book was released on 1917 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances In The History Of Mathematics Education

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Publisher : Springer Nature
ISBN 13 : 3030952355
Total Pages : 262 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Advances In The History Of Mathematics Education by : Alexander Karp

Download or read book Advances In The History Of Mathematics Education written by Alexander Karp and published by Springer Nature. This book was released on 2022-06-20 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of scholarly studies in the history of mathematics education, very abbreviated versions of which were presented at the ICMI Congress in 2021. The book discusses issues in education in Brazil and Belgium, in Poland and Spain, in Russia and the United States. Probably the main factor that unifies the chapters of the book is their attention to key moments in the formation of the field of mathematics education. Topics discussed in the book include the formation and development of mathematics education for women; the role of the research mathematician in the formation of standards for writing textbooks; the formation of curricula and the most active figures in this formation during the New Math period; the formation of certain distinctive features of curricula in Poland; the formation of the views of David Eugene Smith and the influence of European mathematics education on him; the formation of the American mathematics community; and the creation of such forms of student assessment as entrance exams to higher educational institutions. The book is of interest not only to historians of mathematics education, but also to wide segments of specialists in other areas of mathematics education.

The Publishers Weekly

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Publisher :
ISBN 13 :
Total Pages : 1230 pages
Book Rating : 4.:/5 (41 download)

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Book Synopsis The Publishers Weekly by :

Download or read book The Publishers Weekly written by and published by . This book was released on 1927 with total page 1230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New International Encyclopedia

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Publisher :
ISBN 13 :
Total Pages : 876 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis New International Encyclopedia by :

Download or read book New International Encyclopedia written by and published by . This book was released on 1915 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The New International Encyclopaedia

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Publisher :
ISBN 13 :
Total Pages : 858 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The New International Encyclopaedia by :

Download or read book The New International Encyclopaedia written by and published by . This book was released on 1923 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics, Education and History

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Publisher : Springer
ISBN 13 : 3319739247
Total Pages : 389 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Mathematics, Education and History by : Kathleen M. Clark

Download or read book Mathematics, Education and History written by Kathleen M. Clark and published by Springer. This book was released on 2018-03-30 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.

A Course in Modern Geometries

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Publisher : Springer Science & Business Media
ISBN 13 : 1475734905
Total Pages : 456 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis A Course in Modern Geometries by : Judith N. Cederberg

Download or read book A Course in Modern Geometries written by Judith N. Cederberg and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. The first chapter presents several finite geometries in an axiomatic framework, while Chapter 2 continues the synthetic approach in introducing both Euclids and ideas of non-Euclidean geometry. There follows a new introduction to symmetry and hands-on explorations of isometries that precedes an extensive analytic treatment of similarities and affinities. Chapter 4 presents plane projective geometry both synthetically and analytically, and the new Chapter 5 uses a descriptive and exploratory approach to introduce chaos theory and fractal geometry, stressing the self-similarity of fractals and their generation by transformations from Chapter 3. Throughout, each chapter includes a list of suggested resources for applications or related topics in areas such as art and history, plus this second edition points to Web locations of author-developed guides for dynamic software explorations of the Poincaré model, isometries, projectivities, conics and fractals. Parallel versions are available for "Cabri Geometry" and "Geometers Sketchpad".

Classified List

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Publisher :
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Classified List by : Princeton University. Library

Download or read book Classified List written by Princeton University. Library and published by . This book was released on 1920 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: