The Legacy Of Felix Klein


The Legacy Of Felix Klein
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The Legacy Of Felix Klein


The Legacy Of Felix Klein
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Author : Hans-Georg Weigand
language : en
Publisher: Springer
Release Date : 2018-12-11

The Legacy Of Felix Klein written by Hans-Georg Weigand and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-11 with Education categories.


This open access book provides an overview of Felix Klein’s ideas, highlighting developments in university teaching and school mathematics related to Klein’s thoughts, stemming from the last century. It discusses the meaning, importance and the legacy of Klein’s ideas today and in the future, within an international, global context. Presenting extended versions of the talks at the Thematic Afternoon at ICME-13, the book shows that many of Klein’s ideas can be reinterpreted in the context of the current situation, and offers tips and advice for dealing with current problems in teacher education and teaching mathematics in secondary schools. It proves that old ideas are timeless, but that it takes competent, committed and assertive individuals to bring these ideas to life. Throughout his professional life, Felix Klein emphasised the importance of reflecting upon mathematics teaching and learning from both a mathematical and a psychological or educational point of view. He also strongly promoted the modernisation of mathematics in the classroom, and developed ideas on university lectures for student teachers, which he later consolidated at the beginning of the last century in the three books on elementary mathematics from a higher standpoint.



The Legacy Of Felix Klein


The Legacy Of Felix Klein
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Author : Gert Schubring
language : en
Publisher:
Release Date : 2020-10-08

The Legacy Of Felix Klein written by Gert Schubring and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-08 with Education categories.


This open access book provides an overview of Felix Klein's ideas, highlighting developments in university teaching and school mathematics related to Klein's thoughts, stemming from the last century. It discusses the meaning, importance and the legacy of Klein's ideas today and in the future, within an international, global context. Presenting extended versions of the talks at the Thematic Afternoon at ICME-13, the book shows that many of Klein's ideas can be reinterpreted in the context of the current situation, and offers tips and advice for dealing with current problems in teacher education and teaching mathematics in secondary schools. It proves that old ideas are timeless, but that it takes competent, committed and assertive individuals to bring these ideas to life. Throughout his professional life, Felix Klein emphasised the importance of reflecting upon mathematics teaching and learning from both a mathematical and a psychological or educational point of view. He also strongly promoted the modernisation of mathematics in the classroom, and developed ideas on university lectures for student teachers, which he later consolidated at the beginning of the last century in the three books on elementary mathematics from a higher standpoint. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.



Felix Klein


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.



Proceedings Of The 13th International Congress On Mathematical Education


Proceedings Of The 13th International Congress On Mathematical Education
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Author : Gabriele Kaiser
language : en
Publisher: Springer
Release Date : 2017-10-31

Proceedings Of The 13th International Congress On Mathematical Education written by Gabriele Kaiser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-31 with Education categories.


This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.



Elementary Mathematics From An Advanced Standpoint Arithmetic Algebra Analysis


Elementary Mathematics From An Advanced Standpoint Arithmetic Algebra Analysis
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Author : Felix Klein
language : en
Publisher: Aslan Press
Release Date : 2007-03

Elementary Mathematics From An Advanced Standpoint Arithmetic Algebra Analysis written by Felix Klein and has been published by Aslan Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03 with Mathematics categories.


This book provides a fascinating and inspirational read for anyone with an interest in advanced mathematics, written by the great German mathematician Felix Klein. It is highly recommended for inclusion on the bookshelf of anyone with an interest in the subject.



Vita Mathematica


Vita Mathematica
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Author : Ronald Calinger
language : en
Publisher: Cambridge University Press
Release Date : 1996

Vita Mathematica written by Ronald Calinger 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 1996 with Mathematics categories.


Enables teachers to learn the history of mathematics and then incorporate it in undergraduate teaching.



A Beautiful Math


A Beautiful Math
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Author : Tom Siegfried
language : en
Publisher: National Academies Press
Release Date : 2006-09-21

A Beautiful Math written by Tom Siegfried and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-21 with Science categories.


Millions have seen the movie and thousands have read the book but few have fully appreciated the mathematics developed by John Nash's beautiful mind. Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality.



Introduction To Symmetry Analysis Paperback With Cd Rom


Introduction To Symmetry Analysis Paperback With Cd Rom
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Author : Brian Cantwell
language : en
Publisher: Cambridge University Press
Release Date : 2002-09-23

Introduction To Symmetry Analysis Paperback With Cd Rom written by Brian Cantwell 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 2002-09-23 with Mathematics categories.


An introduction to symmetry analysis for graduate students in science, engineering and applied mathematics.



Descriptive Geometry The Spread Of A Polytechnic Art


Descriptive Geometry The Spread Of A Polytechnic Art
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Author : Évelyne Barbin
language : en
Publisher: Springer
Release Date : 2019-07-01

Descriptive Geometry The Spread Of A Polytechnic Art written by Évelyne Barbin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-01 with Mathematics categories.


This book seeks to explore the history of descriptive geometry in relation to its circulation in the 19th century, which had been favoured by the transfers of the model of the École Polytechnique to other countries. The book also covers the diffusion of its teaching from higher instruction to technical and secondary teaching. In relation to that, there is analysis of the role of the institution – similar but definitely not identical in the different countries – in the field under consideration. The book contains chapters focused on different countries, areas, and institutions, written by specialists of the history of the field. Insights on descriptive geometry are provided in the context of the mathematical aspect, the aspect of teaching in particular to non-mathematicians, and the institutions themselves.



The Legacy Of Tatjana Afanassjewa


The Legacy Of Tatjana Afanassjewa
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Author : Jos Uffink
language : en
Publisher: Springer Nature
Release Date : 2020-11-28

The Legacy Of Tatjana Afanassjewa written by Jos Uffink and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-28 with Science categories.


This book presents a collection of essays that explore the life and works of Tatjana Afanassjewa (1876–1964), a Russian–Dutch physicist–mathematician. Readers will discover a scientist whose work on the foundations of thermodynamics significantly influenced the field itself as well as the philosophy of physics. This book highlights the philosophical consequences of her work in physics and mathematics and discusses historical aspects of her writings on the foundations of physics. In addition, it features English translations and critical reviews of key selections from her texts. First and foremost, the book highlights the numerous contributions that Afanassjewa made to the field. In particular, the authors examine her work on the foundations of thermodynamics and statistical physics, starting in the 1920s and extending to 1956, well after the untimely death of her husband in 1933. They also explore her almost entirely forgotten work on the didactics of mathematics. In addition, they discuss her influential collaboration with her husband, the Austrian physicist Paul Ehrenfest (1880–1933). The portrait that emerges is that of a highly original physicist and mathematician, whose legacy continues to influence scientists and philosophers today and whose lesser-known works deserve more attention than they have received. Readers will find a rich body of work that continues to this day to yield insights into the foundations of physics and mathematics.