• NeoDB
  • Explore
  • Feed
  • Home
    • Scan barcode
    • Sign up or login
    • Preferences
2yr 沧海钓鳖客
cover

Book

The Shaping of Arithmetic - After C.F. Gauß's Disquisitiones Arithmeticae
Douban
Goldstein, Catherine (EDT)/ Schappacher, Norbert (EDT)/ Schwermer, Joachim (EDT) publishing house: Springer 2006 - 3
The cultural historian Theodore Merz called it the great book with seven seals, the mathematician Leopold Kronecker, the book of all books : already one century after their publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) had acquired an almost mythical reputation. They had served throughout the XIX th century as an ideal of exposition in matters of notation, problems and methods; as a model of organisation of the material and theory building; and last but not least as a source of mathematical inspiration. Various readings of the Disquisitiones Arithmeticae have left their marks on developments as different as Galois' theory of algebraic equations, Lucas' primalitytests, and Dedekind's theory of ideals.The present volume revisits successive periods in the reception of Gauss's book: it studies which parts were taken up when, which themes were further explored. It also focusses on how specific mathematicians reacted to the Disquisitiones Arithmeticae: Dirichlet and Hermite, Kummer and Genocchi, Dedekind and Zolotarev. An astounding variety of research programmes in the theory of numbers can be traced back toGauss's book. The 18 authors - mathematicians, historians, philosophers - who have collaborated for this volume, contribute in-depth studies on the various aspects of the bicentennary voyage of this mathematical text through history, and the way that the number theory we know today came into being and diversified.

想读 The Shaping of Arithmetic - After C.F. Gauß's Disquisitiones Arithmeticae

#我的书影音

沧海钓鳖客
@huyan00@neodb.social
19 following  ·  8 followers

可以相信什么?

Если для счастья всего человечества нужно замучить хотя бы одного ребенка, то я протестую против этого счастья, протестую от имени всех

Veritas odit moras, arma virumque cano

tārakā timiraṃ dīpo māyāvaśyāyabudbudam |
supinaṃ vidyudabhraṃ ca evaṃ draṣṭavyaṃ saṃskṛtam ||

αἰὲν ἀριστεύειν καὶ ὑπείροχον ἔμμεναι ἄλλων·



关注我们建议反馈站点公约 About API Apps
You are visiting an alternative domain for NeoDB, please always use original version if possible.