Elementary Mathematics From Advanced Standpoint
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Elementary Mathematics From Advanced Standpoint
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Author : Felix Klein
language : en
Publisher:
Release Date : 1908
Elementary Mathematics From Advanced Standpoint 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 1908 with 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.
Elementary Mathematics From An Advanced Standpoint Arithmetic Algebra Analysis
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Author : Felix Klein
language : en
Publisher: Aslan Press
Release Date : 2008-11
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 2008-11 with Mathematics categories.
FELIX KLEIN ELEMENTARY MATHEMATICS FROM AN ADVANCED STANDPOINT- ARITHMETIC- ALGEBRA -ANALYSIS. TRANSLATED FROM THE THIRD GERMAN EDlTION BY E. R. HEDRICK AND C, A. NOBLE PROFESSOR OF MATHEMATICS PROFESSOR OF MATHEMATICS IN THE UNIVERSITY OF CALIFORNIA IN THE UNIVERSITY OF CALIFORNIA AT LOS ANGELES AT BERKELEY WITH 125 FIGURES MACMILLAN AND CO., LIMITED ST. MARTINS STREET, LONDON 1932 ALL RIGHTS RESERVED PRINTED IN GERMANY BY THE SPAMERSCHE BUCHDRUCKEREI LEIPZIG Preface to the First Edition. The new volume which I herewith offer to the mathematical public, and especially to the teachers of mathematics in our secondary schools, is to be looked upon as a first continuation of the lectures Uber den mathematischen Unterricht an den hoheren Schulen, in particular, of those on Die Organisation des mathematischen Unterrichts by Schimmack and me, which were published last year by Teubner. At that time our concern was with the different ways in which the problem of instruction can be presented to the mathematician. At present my concern is with deve lopments in the subject matter of instruction. I shall endeavor to put before the teacher, as well as the maturing student, from the view-point of modern science, but in a manner as simple, stimulating, and convincing as possible, both the content and the foundations of the topics of instruction, with due regard for the current methods of teaching. I shall not follow a systematically ordered presentation, as do, for example, Weber and Wellstein, but I shall allow myself free excursions as the changing stimulus of surroundings may lead me to do in the course of the actual lectures. The program thus indicated, which for the present is to be carried out only for the fields of Arithmetic, Algebra, and Analysis, was indicated in the preface to Klein-Schimmack April 1907. I had hoped then that Mr.. Schimmack, in spite of many obstacles, would still find the time to put my lectures into form suitable for printing. But I myself, in a way, prevented his doing this by continuously claiming his time for work in another direction upon pedagogical questions that interested us both. It soon became clear that the original plan could not be carried out, particularly if the work was to be finished in a short time, which seemed desirable if it was to have any real influence upon those problems of instruction which are just now in the foreground, As in previous years, then, I had recourse to the more convenient method of lithographing my lectures, especially since my present assistant, Dr. Ernst Hellinger, showed himself especially well qualified for this work. One should not underestimate the service which Dr. Hellinger rendered. For it is a far cry from the spoken word of the teacher, influenced as it is by accidental conditions, to the subsequently polished and readable record. On the teaching of mathematics in the secondary schools. The organization of mathematical instruction. IV In precision of statement and in uniformity of explanations, the lecturer stops short of what we are accustomed to consider necessary for a printed publication. I hesitate to commit myself to still further publications on the teaching of mathematics, at least for the field of geometry. I prefer to close with the wish that the present lithographed volume may prove useful by inducing many of the teachers of our higher schools to renewed use of independent thought in determining the best way of presenting the material of instruction. This book is designed solely as such a mental spur, not as a detailed handbook. The preparation of the latter I leave to those actively engaged in the schools. It is an error to assume, as some appear to have done, that my activity has ever had any other purpose...
Elementary Mathematics From An Advanced Standpoint Arithmetic Algebra Analysis
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Author : Felix Klein
language : en
Publisher:
Release Date : 1966
Elementary Mathematics From An Advanced Standpoint Arithmetic Algebra Analysis 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 1966 with Mathematics categories.
Elementary Mathematics From An Advanced Standpoint
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Author : Felix Klein
language : en
Publisher:
Release Date : 1945
Elementary Mathematics From An Advanced Standpoint 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 1945 with Algebra categories.
Elementary Mathematics From An Advanced Standpoint
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Author :
language : en
Publisher:
Release Date : 1945
Elementary Mathematics From An Advanced Standpoint written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1945 with categories.
Elementary Mathematics From A Higher Standpoint
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Author : Felix Klein
language : en
Publisher: Springer
Release Date : 2016-06-29
Elementary Mathematics From A Higher Standpoint written by Felix Klein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-29 with Education categories.
These three volumes constitute the first complete English translation of Felix Klein’s seminal series “Elementarmathematik vom höheren Standpunkte aus”. “Complete” has a twofold meaning here: First, there now exists a translation of volume III into English, while until today the only translation had been into Chinese. Second, the English versions of volume I and II had omitted several, even extended parts of the original, while we now present a complete revised translation into modern English. The volumes, first published between 1902 and 1908, are lecture notes of courses that Klein offered to future mathematics teachers, realizing a new form of teacher training that remained valid and effective until today: Klein leads the students to gain a more comprehensive and methodological point of view on school mathematics. The volumes enable us to understand Klein’s far-reaching conception of elementarisation, of the “elementary from a higher standpoint”, in its implementation for school mathematics./div This volume II presents a paradigmatic realisation of Klein’s approach of elementarisation for teacher education. It is shown how the various geometries, elaborated particularly since the beginning of the 19th century, are revealed as becoming unified in a new restructured geometry. As Klein liked to stress: “Projective geometry is all geometry”. Non-Euclidean geometry proves to constitute a part of this unifying process. The teaching of geometry is discussed in a separate chapter, which provides moreover important information on the history of geometry teaching and an international comparison.
Elementary Mathematics From An Advanced Standpoint
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Author : Felix Klein
language : en
Publisher:
Release Date :
Elementary Mathematics From An Advanced Standpoint 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 with categories.
Elementary Mathematics From An Advanced Standpoint
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Author : Félix Klein
language : en
Publisher: Dover Publications
Release Date : 2013-12-20
Elementary Mathematics From An Advanced Standpoint written by Félix Klein and has been published by Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-20 with categories.
Graphical and geometrically perceptive methods enliven a distinguished mathematician's treatment of arithmetic, algebra, and analysis. Topics include calculating with natural numbers, complex numbers, goniometric functions, and infinitesimal calculus. 1932 edition. Includes 125 figures.
Elementary Mathematics From An Advanced Standpoint
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Author : Felix Klein
language : en
Publisher: Courier Corporation
Release Date : 2012-02-10
Elementary Mathematics From An Advanced Standpoint 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 2012-02-10 with Mathematics categories.
This comprehensive treatment features analytic formulas, enabling precise formulation of geometric facts, and it covers geometric manifolds and transformations, concluding with a systematic discussion of fundamentals. 1939 edition. Includes 141 figures.