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Lecture Notes in Mathematics

Introduction to Algebraic Independence Theory

Editors: Nesterenko, Yuri V., Philippon, Patrice (Eds.)

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eBook 35,69 €
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  • ISBN 978-3-540-44550-0
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Softcover 46,75 €
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  • ISBN 978-3-540-41496-4
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About this book

In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.

Table of contents (16 chapters)

Buy this book

eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-540-44550-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 46,75 €
price for Spain (gross)
  • ISBN 978-3-540-41496-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Algebraic Independence Theory
Editors
  • Yuri V. Nesterenko
  • Patrice Philippon
Series Title
Lecture Notes in Mathematics
Series Volume
1752
Copyright
2001
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-44550-0
DOI
10.1007/b76882
Softcover ISBN
978-3-540-41496-4
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVI, 260
Topics