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Hermann Graßmann

Biography

Authors: Petsche, Hans-Joachim

  • First biography of Grassman since Friedrich Engel’s almost a century ago
  • Seeks to define Grassmann’s place in the present scientific context and in the history of science as a whole
  • Throws light on the complex relations between Grassmann’s philosophical, pedagogical, religious and scientific positions
  • Attempts an explanation of the way in which Grassmann’s mathematical work is rooted in its sociological context
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eBook $79.99
price for USA in USD (gross)
  • ISBN 978-3-7643-8860-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA in USD
  • ISBN 978-3-7643-8859-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Hermann Günther Graßmann was one of the most remarkable personalities in 19th-century science. A "small-town genius", he developed a groundbreaking n-dimensional algebra of space and contributed to a revolution in the understanding of mathematics. His work fascinated great mathematicians such as W. R. Hamilton, J. W. Gibbs and A. N. Whitehead. This intellectual biography traces Graßmann’s steps towards scientific brilliance by untangling a complicated web of influences: the force of unsolved problems in mathematics, Friedrich Schleiermacher’s Dialectic, German Romanticism and life in 19th-century Prussia. The book also introduces the reader to the details of Graßmann’s mathematical work without neglecting his achievements in Sanskrit philology and physics. And, for the first time, it makes many original sources accessible to the English-language reader.

Reviews

From the reviews:

“This review is principally concerned, provides a description of Grassmann’s life and an analysis of his mathematical ideas. … In summary, I thoroughly enjoyed reading this biography, and it must surely be the seminal work on the life and times of Hermann Grassmann. … The level of scholarship is consistently high, which is evidenced by the fact that almost … 306 pages is devoted to references and bibliographical information. … greatly benefited from the addition of a mathematical index.” (P. N. Ruane, The Mathematical Association of America, March, 2010)

“One should welcome this English translation of the German original … . The book, intended ‘to critically appreciate and explain the life and work of Hermann Gunther Graßmann (1809-1877)’, does it in a clear and well documented way. … The book is richly illustrated (47 figures) and completed with chronology of Graßmann’s life and an extensive bibliography on him (16 pages).” (Roman Duda, Zentralblatt MATH, Vol. 1195, 2010)


Table of contents (4 chapters)

  • Graßmann’s life

    Petsche, Hans-Joachim

    Pages 1-100

  • Graßmann’s sources of inspiration

    Petsche, Hans-Joachim

    Pages 101-164

  • Hermann Günther Graßmann’s contributions to the development of mathematics and their place in the history of mathematics

    Petsche, Hans-Joachim

    Pages 165-220

  • The genesis and essence of Hermann Günther Graßmann’s philosophical views in the Extension Theory of 1844

    Petsche, Hans-Joachim

    Pages 221-255

Buy this book

eBook $79.99
price for USA in USD (gross)
  • ISBN 978-3-7643-8860-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA in USD
  • ISBN 978-3-7643-8859-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Hermann Graßmann
Book Subtitle
Biography
Authors
Copyright
2009
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8860-7
DOI
10.1007/978-3-7643-8860-7
Hardcover ISBN
978-3-7643-8859-1
Edition Number
1
Number of Pages
XX, 306
Number of Illustrations
47 b/w illustrations
Topics