Elementary Mathematics from an Advanced Standpoint

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.

Author: Felix Klein

Publisher: Courier Corporation

ISBN: 9780486167411

Category: Mathematics

Page: 224

View: 314

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.

Elementary Mathematics from an Advanced Standpoint

Author: Феликс Клайн

Publisher:

ISBN: UCAL:B4249011

Category: Geometry

Page: 214

View: 829

Elementary Mathematics from an Advanced Standpoint

His published works include Elementary Mathematics from an Advanced Standpoint: Geometry and Famous Problems of Elementary Geometry.

Author: Felix Klein

Publisher: Cosimo, Inc.

ISBN: 9781605209319

Category: Mathematics

Page: 284

View: 804

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

Author: Felix Klein

Publisher:

ISBN: STANFORD:36105035229009

Category: Algebra

Page: 274

View: 184

Elementary Mathematics from a Higher Standpoint

This volume I is devoted to what Klein calls the three big "A's": arithmetic, algebra and analysis.

Author: Felix Klein

Publisher: Springer

ISBN: 366249440X

Category: Education

Page: 312

View: 273

​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. This volume I is devoted to what Klein calls the three big "A's": arithmetic, algebra and analysis. They are presented and discussed always together with a dimension of geometric interpretation and visualisation - given his epistemological viewpoint of mathematics being based in space intuition. A particularly revealing example for elementarisation is his chapter on the transcendence of e and p, where he succeeds in giving concise yet well accessible proofs for the transcendence of these two numbers. It is in this volume that Klein makes his famous statement about the double discontinuity between mathematics teaching at schools and at universities – it was his major aim to overcome this discontinuity.

Elementary Mathematics from an Advanced Standpoint

Author: Felix Klein

Publisher:

ISBN: LCCN:a48005461

Category: Mathematics

Page: 214

View: 327

Elementary Mathematics from an Advanced Standpoint

Author: Felix Klein

Publisher:

ISBN: PSU:000016963986

Category: Mathematics

Page: 274

View: 406

Elementary Mathematics from an Advanced Standpoint

Author: Félix Klein

Publisher:

ISBN: OCLC:909376444

Category:

Page:

View: 621

Elementary mathematics from an advanced standpoint

Author: Felix Klein

Publisher:

ISBN: OCLC:631885072

Category:

Page: 274

View: 280

Elementary Mathematics from an Advanced Standpoint  Arithmetic  Algebra  Analysis

Author: Felix Klein

Publisher:

ISBN: OCLC:29416539

Category: Mathematics

Page: 274

View: 764

Elementary Mathematics from an Advanced Standpoint and Elementary Views on Advanced Mathematics

Author: Ysette Weiss-Pidstrygach

Publisher:

ISBN: OCLC:816120224

Category:

Page:

View: 847

Elementary Mathematics from an Advanced Standpoint

Author:

Publisher:

ISBN: OCLC:637102875

Category:

Page:

View: 600

Elementary Mathematics from an Advanced Standpoint

Author: Felix Klein

Publisher:

ISBN: OCLC:1025471672

Category: Mathematics

Page: 274

View: 322

Elementary mathematics from an advanced standpoint  geometry

Author: Felix Klein

Publisher:

ISBN: OCLC:631118874

Category:

Page: 214

View: 130

Elementary Mathematics From an Advanced Standpoint

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.

Author: Felix 1849-1925 Klein

Publisher: Hassell Street Press

ISBN: 1013846281

Category:

Page: 230

View: 727

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. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Elementary Mathematics from an Advanced Standpoint

Author: Felix Klein

Publisher:

ISBN: OCLC:840305162

Category:

Page: 214

View: 924

Elementary Mathematics From an Advanced Standpoint

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.

Author: Felix 1849-1925 Klein

Publisher: Hassell Street Press

ISBN: 1014468647

Category:

Page: 230

View: 521

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. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author: 克莱因

Publisher:

ISBN: 7309059824

Category:

Page: 842

View: 133

Elementary Mathematics from an Advanced Standpoint

Author: Felix Klein

Publisher:

ISBN: OCLC:978047192

Category: Mathematics

Page:

View: 182

Elementary Mathematics from an Advanced Standpoint

Author: Felix Klein

Publisher:

ISBN: OCLC:804510241

Category:

Page: 214

View: 449