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Dirichlet

A Mathematical Biography

  • Uta C. Merzbach

Table of contents

  1. Front Matter
    Pages i-xix
  2. Uta C. Merzbach
    Pages 1-7
  3. Uta C. Merzbach
    Pages 9-15
  4. Uta C. Merzbach
    Pages 17-22
  5. Uta C. Merzbach
    Pages 23-38
  6. Uta C. Merzbach
    Pages 39-48
  7. Uta C. Merzbach
    Pages 49-64
  8. Uta C. Merzbach
    Pages 65-70
  9. Uta C. Merzbach
    Pages 71-84
  10. Uta C. Merzbach
    Pages 85-129
  11. Uta C. Merzbach
    Pages 131-143
  12. Uta C. Merzbach
    Pages 145-156
  13. Uta C. Merzbach
    Pages 157-179
  14. Uta C. Merzbach
    Pages 181-203
  15. Uta C. Merzbach
    Pages 205-221
  16. Uta C. Merzbach
    Pages 223-239
  17. Uta C. Merzbach
    Pages 241-251
  18. Uta C. Merzbach
    Pages 253-276
  19. Back Matter
    Pages 277-311

About this book

Introduction

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.

Keywords

Humboldt Mendelssohn Prussia analysis number theory

Authors and affiliations

  • Uta C. Merzbach
    • 1
  1. 1.Georgetown, TXUSA

Bibliographic information