Higher Mathematics From An Elementary Point Of View PDF Download
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Author | : Hans Rademacher |
Publisher | : Birkhauser |
Total Pages | : 138 |
Release | : 1983-01 |
Genre | : Mathematics |
ISBN | : 9780817630645 |
Download Higher Mathematics from an Elementary Point of View Book in PDF, ePub and Kindle
Author | : RADEMACHER |
Publisher | : Birkhäuser |
Total Pages | : 0 |
Release | : 2014-05-14 |
Genre | : Mathematics |
ISBN | : 9781489949776 |
Download Higher Mathematics from an Elementary Point of View Book in PDF, ePub and Kindle
Author | : Hans Rademacher |
Publisher | : |
Total Pages | : 160 |
Release | : 1983 |
Genre | : Mathematics |
ISBN | : |
Download Higher Mathematics from an Elementary Point of View Book in PDF, ePub and Kindle
Author | : Felix Klein |
Publisher | : Springer |
Total Pages | : 318 |
Release | : 2016-06-29 |
Genre | : Education |
ISBN | : 3662494450 |
Download Elementary Mathematics from a Higher Standpoint Book in PDF, ePub and Kindle
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.
Author | : Felix Klein |
Publisher | : Aslan Press |
Total Pages | : 288 |
Release | : 2007-03 |
Genre | : Mathematics |
ISBN | : 1406700142 |
Download Elementary Mathematics from an Advanced Standpoint - Arithmetic - Algebra - Analysis Book in PDF, ePub and Kindle
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.
Author | : Shaun Bullett |
Publisher | : World Scientific |
Total Pages | : 235 |
Release | : 2017-03-07 |
Genre | : Mathematics |
ISBN | : 1786341093 |
Download Geometry In Advanced Pure Mathematics Book in PDF, ePub and Kindle
This book leads readers from a basic foundation to an advanced level understanding of geometry in advanced pure mathematics. Chapter by chapter, readers will be led from a foundation level understanding to advanced level understanding. This is the perfect text for graduate or PhD mathematical-science students looking for support in algebraic geometry, geometric group theory, modular group, holomorphic dynamics and hyperbolic geometry, syzygies and minimal resolutions, and minimal surfaces.Geometry in Advanced Pure Mathematics is the fourth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.
Author | : Simone Malacrida |
Publisher | : BookRix |
Total Pages | : 498 |
Release | : 2023-04-18 |
Genre | : Mathematics |
ISBN | : 3755439174 |
Download The Book of Mathematics: Volume 2 Book in PDF, ePub and Kindle
Most of mathematics is presented in this book, starting from the basic and elementary concepts to probing the more complex and advanced areas. Mathematics is approached both from a theoretical point of view, expounding theorems and definitions of each particular type, and on a practical level, going on to solve more than 1,000 exercises. The approach to mathematics is given by progressive knowledge, exposing the various chapters in a logical order so that the reader can build a continuous path in the study of that science. The entire book is divided into three distinct sections: elementary mathematics, the advanced mathematics given by analysis and geometry, and finally the part concerning statistics, algebra and logic. The writing stands as an all-inclusive work concerning mathematics, leaving out no aspect of the many facets it can take on.
Author | : Alexey Stakhov |
Publisher | : World Scientific |
Total Pages | : 745 |
Release | : 2009-09-11 |
Genre | : Mathematics |
ISBN | : 9814472573 |
Download Mathematics Of Harmony: From Euclid To Contemporary Mathematics And Computer Science Book in PDF, ePub and Kindle
Assisted by Scott Olsen (Central Florida Community College, USA) This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the “Mathematics of Harmony,” a new interdisciplinary direction of modern science. This direction has its origins in “The Elements” of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the “golden” algebraic equations, the generalized Binet formulas, Fibonacci and “golden” matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and “golden” matrices).The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.
Author | : Felix Klein |
Publisher | : Springer |
Total Pages | : 267 |
Release | : 2016-06-28 |
Genre | : Education |
ISBN | : 3662494396 |
Download Elementary Mathematics from a Higher Standpoint Book in PDF, ePub and Kindle
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. In Volume III, Klein explores the relationship between precision and approximation mathematics. He crosses the various fields of mathematics – from functions in one and two variables to practical geometry to space curves and surfaces – underlining the relation between the exactness of the idealised concepts and the approximations to be considered in applications. Logical procedures are confronted with the way in which concepts arise starting from observations. It is a comparison between properties pertaining only to the theoretical field of abstract mathematics and properties that can be grasped by intuition. The final part, which concerns gestalt relations of curves and surfaces, shows Klein to be the master of the art of description of geometric forms.
Author | : Mansfield Merriman |
Publisher | : Forgotten Books |
Total Pages | : 608 |
Release | : 2015-06-24 |
Genre | : Mathematics |
ISBN | : 9781330067901 |
Download Higher Mathematics Book in PDF, ePub and Kindle
Excerpt from Higher Mathematics: A Text-Book for Classical and Engineering Colleges In the early part of this century it was possible for an industrious student to acquire a comprehensive if not minute knowledge of the entire realm of mathematical science. The more eminent minds of that time, like Lagrange, Laplace, and Gauss, were about equally familiar with all branches of pure and applied mathematics. Since that epoch the tendency has been constantly towards specialization; and additions to pure theory along with extensions of applications have been made with increasing rapidity, until now the mere quantity of information available presents a formidable obstacle to the simultaneous attainment of the breadth and depth of knowledge which characterized the mathematician of a generation ago. It would appear, however, that this obstacle is due to the bewildering mass of details rather than to any considerable increase in the number of fundamental principles. Hence the student who seeks to gain a comprehensive view of the mathematics of the present day needs most of all that sort of guidance which fixes his attention on essentials and prevents him from wasting valuable time and energy in the pursuit of nonessentials. During the past twenty years a marked change of opinion has occurred as to the aims and methods of mathematical instruction. The old ideas that mathematical studies should be pursued to discipline the mind, and that such studies were ended when an elementary course in the calculus had been covered, have for the most part disappeared. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.