Felix Klein
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Indra S Pearls
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Author : David Mumford
language : en
Publisher: Cambridge University Press
Release Date : 2002-04-25
Indra S Pearls written by David Mumford and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-25 with Computers categories.
Felix Klein, one of the great nineteenth-century geometers, rediscovered in mathematics an idea from Eastern philosophy: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries. For a century these ideas barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.
Lectures On Mathematics
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Author : Felix Klein
language : en
Publisher: American Mathematical Soc.
Release Date : 1894
Lectures On Mathematics 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 1894 with Mathematics categories.
Elementary Mathematics From An Advanced Standpoint
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Author : Felix Klein
language : en
Publisher: Cosimo, Inc.
Release Date : 2009-01-01
Elementary Mathematics From An Advanced Standpoint 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 2009-01-01 with Mathematics categories.
When the mathematician Felix Klein first went to university, he was surprised at just how little what he had learned up to that point was relevant to his new studies. Professors had their own interests, and these they conveyed without regard for the math students of the future that these prospective secondary schoolteachers would one day instruct. Elementary Mathematics from an Advanced Standpoint was written to help remedy that problem. Though highly regarded as one of the finest mathematical minds of his day, Professor Klein took a great deal of interest in guiding teachers and "reducing the gap between the school and the university." Readers will come away impressed at the clarity of Klein's writing, and the ease with which he conveys complex mathematical ideas. Divided into three parts-arithmetic, algebra, and analysis-and covering such topics as complex numbers, real equations, and logarithmic and exponential functions, Klein's classic is essential reading for math instructors and students planning to become math instructors. 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: Geometry and Famous Problems of Elementary Geometry.
Lectures On The Icosahedron And The Solution Of Equations Of The Fifth Degree
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Author : Felix Klein
language : en
Publisher: Courier Corporation
Release Date : 2003-01-01
Lectures On The Icosahedron And The Solution Of Equations Of The Fifth Degree 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.
This well-known work covers the solution of quintics in terms of the rotations of a regular icosahedron around the axes of its symmetry. Its two-part presentation begins with discussions of the theory of the icosahedron itself; regular solids and theory of groups; introductions of (x + iy); a statement and examination of the fundamental problem, with a view of its algebraic character; and general theorems and a survey of the subject. The second part explores the theory of equations of the fifth degree and their historical development; introduces geometrical material; and covers canonical equations of the fifth degree, the problem of A's and Jacobian equations of the sixth degree, and the general equation of the fifth degree. Second revised edition with additional corrections.
The International Commission On Mathematical Instruction 1908 2008 People Events And Challenges In Mathematics Education
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Author : Fulvia Furinghetti
language : en
Publisher: Springer Nature
Release Date : 2023-01-30
The International Commission On Mathematical Instruction 1908 2008 People Events And Challenges In Mathematics Education written by Fulvia Furinghetti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-30 with Education categories.
The book presents the history of ICMI trough a prosopographical approach. In other words, it pays a lot of attention to the actors of the International movement. The portraits of the members of the ICMI Central Committees (1908-1936) and ICMI Executive Committees (1952-2008), and other eminent figures in ICMI history, who have passed away in the first 100 years of its life, are the guiding thread of the volume. Each portrait includes: · Biographical information · An outline of the various contributions made by the individual in question to the study of problems pertaining to mathematics teaching/education · Primary bibliography · Secondary with particular attention to the publications concerning the teaching of mathematics · Images: photos, book frontispieces, relevant manuscripts The authors of the portraits (30 altogether) are researchers in the history of mathematics, mathematics, and mathematics education. The focus on the officer’s role within ICMI and on his/her contributions to mathematics education, make the portraits different from usual biographies. In particular, since most officers were active mathematicians, the portraits shed light on aspects of their lesser-known activity. Connecting chapters place the action of these figures in the historical context and in the different phases of ICMI history.
Development Of Mathematics In The 19th Century
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Author : Félix Klein
language : en
Publisher: Math Science Press
Release Date : 1979
Development Of Mathematics In The 19th Century written by Félix Klein and has been published by Math Science Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
Gestalt Graphology
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Author : Felix Klein
language : en
Publisher: iUniverse
Release Date : 2007-12
Gestalt Graphology written by Felix Klein and has been published by iUniverse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12 with Computers categories.
Founder of the National Society for Graphology, Felix Klein began his study of graphology in his birthplace, Vienna, Austria, at the age of thirteen. He was a practicing graphologist all of his life and lectured and gave seminars throughout the United States and in Canada, England, Germany, Israel and Mexico. Mr. Klein came to the United States in 1940 after spending six months each in the concentration camps at Dachau and Buchenwald. While in those camps he formulated his theory of directional pressure as a result of studying changes in the handwriting of his fellow inmates. Mr. Klein did extensive work in personnel selection for major companies and banks, vocational guidance, and individual analyses, as well as forensic document examination for such entities as the U.N., AT&T, and a major political figure in Ghana, Africa. It was probably as a teacher that Felix was most known and loved. He held classes and offered correspondence courses in all levels of graphology: elementary, intermediate, advanced, Master Research, and Psychology for Graphologists. Wherever Felix spoke, his warm, caring personality and his naturalness and keen sense of humor generated enthusiastic responses from young and old alike.
An Essay On The Mathematical Methods Of Theory Of General Relativity
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Author : Edoardo Confalonieri
language : en
Publisher: Edoardo Confalonieri
Release Date : 2019-01-21
An Essay On The Mathematical Methods Of Theory Of General Relativity written by Edoardo Confalonieri and has been published by Edoardo Confalonieri this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-21 with categories.
The basic concepts of a method for a general integral of the Field Equations of the Theory of General Relativity are outlined. An extended and revised version is currently in preparation, and it will be uploaded as soon as ready for publication.
The Emergence Of The American Mathematical Research Community 1876 1900
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Author : Karen Hunger Parshall
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
The Emergence Of The American Mathematical Research Community 1876 1900 written by Karen Hunger Parshall 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 1994 with Mathematics categories.
This volume traces the transformation of the United States from a mathematical backwater to a major presence during the quarter-century from 1876 to 1900. Presenting a detailed study of the major figures involved in this transformation, it focuses on the three most influential individuals - the British algebraist James Joseph Sylvester, the German standard-bearer Felix Klein, and the American mathematician Eliakim Hastings Moore - and on the principal institutions with which they were associated - the Johns Hopkins University, Gottingen University, and the University of Chicago. This book further analyzes the research traditions these men and their institutions represented, the impact they had on the second generation of American mathematical researchers, and the role of the American Mathematical Society in these developments.This is the first work ever written on the history of American mathematics during this period and one of the few books that examines the historical development of American mathematics from a wide perspective. By placing the development of American mathematics within the context of broader external factors affecting historical events, the authors show how the character of American research was decisively affected by the surrounding scientific, educational, and social contexts of the period. Aimed at a general mathematical audience and at historians of science, this book contains an abundance of unpublished archival material, numerous rare photographs, and an extensive bibliography.
Felix Klein
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Author : Renate Tobies
language : en
Publisher: Springer Nature
Release Date : 2021-06-23
Felix Klein written by Renate Tobies and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-23 with Mathematics categories.
About Felix Klein, the famous Greek mathematician Constantin Carathéodory once said: “It is only by illuminating him from all angles that one can come to understand his significance.” The author of this biography has done just this. A detailed study of original sources has made it possible to uncover new connections; to create a more precise representation of this important mathematician, scientific organizer, and educational reformer; and to identify misconceptions. Because of his edition of Julius Plücker’s work on line geometry and due to his own contributions to non-Euclidean geometry, Klein was already well known abroad before he received his first full professorship at the age of 23. By exchanging ideas with his most important cooperation partner, the Norwegian Sophus Lie, Klein formulated his Erlangen Program. Various other visionary programs followed, in which Klein involved mathematicians from Germany and abroad. Klein was the most active promoter of Riemann’s geometric-physical approach to function theory, but he also integrated the analytical approaches of the Weierstrass school into his arsenal of methods. Klein was a citizen of the world who repeatedly travelled to France, Great Britain, Italy, the United States, and elsewhere. Despite what has often been claimed, it must be emphasized that Klein expressly opposed national chauvinism. He promoted mathematically gifted individuals regardless of their nationality, religion, or gender. Many of his works have been translated into English, French, Italian, Russian, and other languages; more than 300 supporters from around the world made it possible for his portrait to be painted by the prominent impressionist Max Liebermann. Inspired by international developments, Klein paved the way for women to work in the field of mathematics. He was instrumental in reforming mathematical education, and he endorsed an understanding of mathematics that affirmed its cultural importance as well as its fundamental significance to scientific and technological progress.