國立虎尾科技大學 |

Bernhard Riemann -- on the hypotheses which lie at the bases of geometry

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Bernhard Riemann -- on the hypotheses which lie at the bases of geometry/ by Jürgen Jost.
作者:	Jost, Jürgen.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xii, 188 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Geometry. -
電子資源:	https://doi.org/10.1007/978-3-031-91489-8
ISBN:	9783031914898

Bernhard Riemann -- on the hypotheses which lie at the bases of geometry
Jost, Jürgen.

Bernhard Riemann -- on the hypotheses which lie at the bases of geometry[electronic resource] /by Jürgen Jost. - Second edition. - Cham :Springer Nature Switzerland :2025. - xii, 188 p. :ill. (some col.), digital ;24 cm. - Classic texts in the sciences,2365-9971. - Classic texts in the sciences..

Introduction -- Historical background -- Riemann's habilitation -- Presentation of the texts -- Reception and impact on history -- Modern research -- Bibliography.

This book presents William Clifford's English translation of Bernhard Riemann's seminal text, accompanied by detailed mathematical, historical, and philosophical commentary. It explores Riemann's revolutionary ideas on space, placing them within the broader framework developed by later thinkers such as Helmholtz, Ricci, Weyl, and Einstein. A historical introduction situates Riemann's work in its 19th-century context, while subsequent chapters trace the evolution of the concept of space across philosophy, physics, and mathematics, and examine its enduring influence up to modern research. The second edition includes expanded mathematical commentary, a new section on metric geometry and machine learning, a systematic bibliography, and numerous updates throughout. Appealing to mathematicians, historians, and readers with an interest in physics or philosophy, this book provides a comprehensive perspective on Riemann's groundbreaking contributions and their lasting impact.

ISBN: 9783031914898

Standard No.: 10.1007/978-3-031-91489-8doiSubjects--Personal Names:

1108173
Riemann, Bernhard,
1826-1866.Subjects--Topical Terms:

579899
Geometry.

LC Class. No.: QA445

Dewey Class. No.: 516

Bernhard Riemann -- on the hypotheses which lie at the bases of geometry
LDR:02227nam a2200349 a 4500 001 1166558
003 DE-He213
005 20250901130317.0
006 m d
007 cr nn 008maaau
008 251217s2025 sz s 0 eng d
020 $a 9783031914898 $q (electronic bk.)
020 $a 9783031914881 $q (paper)
024 7 $a 10.1007/978-3-031-91489-8 $2 doi
035 $a 978-3-031-91489-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA445
072 7 $a PBX $2 bicssc
072 7 $a MAT015000 $2 bisacsh
072 7 $a PBX $2 thema
082 0 4 $a 516 $2 23
090 $a QA445 $b .J84 2025
100 1 $a Jost, Jürgen. $3 1495345
245 1 0 $a Bernhard Riemann -- on the hypotheses which lie at the bases of geometry $h [electronic resource] / $c by Jürgen Jost.
250 $a Second edition.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2025.
300 $a xii, 188 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Classic texts in the sciences, $x 2365-9971
505 0 $a Introduction -- Historical background -- Riemann's habilitation -- Presentation of the texts -- Reception and impact on history -- Modern research -- Bibliography.
520 $a This book presents William Clifford's English translation of Bernhard Riemann's seminal text, accompanied by detailed mathematical, historical, and philosophical commentary. It explores Riemann's revolutionary ideas on space, placing them within the broader framework developed by later thinkers such as Helmholtz, Ricci, Weyl, and Einstein. A historical introduction situates Riemann's work in its 19th-century context, while subsequent chapters trace the evolution of the concept of space across philosophy, physics, and mathematics, and examine its enduring influence up to modern research. The second edition includes expanded mathematical commentary, a new section on metric geometry and machine learning, a systematic bibliography, and numerous updates throughout. Appealing to mathematicians, historians, and readers with an interest in physics or philosophy, this book provides a comprehensive perspective on Riemann's groundbreaking contributions and their lasting impact.
600 1 0 $a Riemann, Bernhard, $d 1826-1866. $3 1108173
650 0 $a Geometry. $3 579899
650 0 $a Geometry $x Philosophy. $3 1495346
650 1 4 $a History of Mathematical Sciences. $3 785417
650 2 4 $a Differential Geometry. $3 671118
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Classic texts in the sciences. $3 1108174
856 4 0 $u https://doi.org/10.1007/978-3-031-91489-8
950 $a Mathematics and Statistics (SpringerNature-11649)