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Dirichlet

A Mathematical Biography

Birkhäuser

Authors:

  • Provides a general context for the life of an influential European mathematician who lived in the first half of the nineteenth century

  • Details the extent to which certain mathematicians of the period were affected by political and social circumstances as well as by their own contributions

  • Shows how representatives of science, politics, and the arts interacted in the early nineteenth century

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xix
  2. Rhineland

    • Uta C. Merzbach
    Pages 1-7
  3. Paris

    • Uta C. Merzbach
    Pages 9-15
  4. First Success

    • Uta C. Merzbach
    Pages 17-22
  5. Return to Prussia

    • Uta C. Merzbach
    Pages 23-38
  6. Early Publications

    • Uta C. Merzbach
    Pages 39-48
  7. Berlin

    • Uta C. Merzbach
    Pages 49-64
  8. Publications: 1829–1830

    • Uta C. Merzbach
    Pages 65-70
  9. Maturation

    • Uta C. Merzbach
    Pages 71-84
  10. Publications: Autumn 1832–Spring 1839

    • Uta C. Merzbach
    Pages 85-129
  11. Expanding Interactions

    • Uta C. Merzbach
    Pages 131-143
  12. Publications: 1839–1845

    • Uta C. Merzbach
    Pages 145-156
  13. A Darkling Decade

    • Uta C. Merzbach
    Pages 157-179
  14. Publications: 1846–1855

    • Uta C. Merzbach
    Pages 181-203
  15. Göttingen

    • Uta C. Merzbach
    Pages 205-221
  16. Aftermath

    • Uta C. Merzbach
    Pages 223-239
  17. Lectures

    • Uta C. Merzbach
    Pages 241-251
  18. Centennial Legacy and Commentary

    • Uta C. Merzbach
    Pages 253-276
  19. Back Matter

    Pages 277-311

About this book

This is the first extensive biography of the influential German mathematician, Peter Gustav Lejeune Dirichlet (1805 – 1859). Dirichlet made major contributions to number theory in addition to clarifying concepts such as the representation of functions as series, the theory of convergence, and potential theory. His mathematical methodology was explicitly based on a thorough knowledge of the work of his predecessors and his belief in the underlying unity of the branches of mathematics. This unified approach is exemplified in a paper that effectively launched the field of analytic number theory. The same orientation pervaded his teaching, which had a profound influence on the work of many mathematicians of subsequent generations.

Chapters dealing with his mathematical work alternate with biographical chapters that place Dirichlet’s life and those of some of his notable associates in the context of the political, social, and artistic culture of the period. This book will appeal not only to mathematicians but also to historians of mathematics and sciences, and readers interested in the cultural and intellectual history of the nineteenth century.

Reviews

“Uta Merzbach’s mathematical biography of Dirichlet is a thoroughly researched volume that describes in detail the life, labors, and legacy of this remarkable mathematician, with full details of his family, friends, and colleagues, as well as descriptions of the general mathematical scene and of the various cities in which he lived. It also contains extensive and accessible summaries of his mathematical writings.” (Robin Wilson, The Mathematical Intelligencer, Vol. 42 (4), 2020)

“The book under review is an outstanding piece of work and an important contribution to the literature on the history of mathematics in the 19th century.” (Franz Lemmermeyer, zbMath 1412.01003, 2019)

Authors and Affiliations

  • Georgetown, TX, USA

    Uta C. Merzbach

Bibliographic Information

  • Book Title: Dirichlet

  • Book Subtitle: A Mathematical Biography

  • Authors: Uta C. Merzbach

  • DOI: https://doi.org/10.1007/978-3-030-01073-7

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Hardcover ISBN: 978-3-030-01071-3Published: 12 January 2019

  • eBook ISBN: 978-3-030-01073-7Published: 29 December 2018

  • Edition Number: 1

  • Number of Pages: XIX, 311

  • Number of Illustrations: 17 b/w illustrations, 2 illustrations in colour

  • Topics: History of Mathematical Sciences, Number Theory

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access