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Asymptotic Differential Algebra and Model Theory of Transseries
Matthias Aschenbrenner
€ 88.93
€ 68.07
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Description for Asymptotic Differential Algebra and Model Theory of Transseries
Paperback. Series: Annals of Mathematics Studies. Num Pages: 880 pages, 12 line illus. BIC Classification: PBF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152. .
Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmic terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems. This self-contained book validates the ... Read more
Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmic terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems. This self-contained book validates the ... Read more
Product Details
Publisher
Princeton University Press
Format
Paperback
Publication date
2017
Series
Annals of Mathematics Studies
Condition
New
Weight
28g
Number of Pages
880
Place of Publication
New Jersey, United States
ISBN
9780691175430
SKU
V9780691175430
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Matthias Aschenbrenner
Matthias Aschenbrenner is professor of mathematics at the University of California, Los Angeles. Lou van den Dries is professor of mathematics at the University of Illinois, Urbana-Champaign. Joris van der Hoeven is director of research at the French National Center for Scientific Research (CNRS).
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