Prestel A., Delzell C.N. — Positive Polynomials: From Hilbert's 17th Problem to Real Algebra (Springer Monographs in Mathematics) :: Электронная библиотека попечительского совета мехмата МГУ

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Prestel A., Delzell C.N. — Positive Polynomials: From Hilbert's 17th Problem to Real Algebra (Springer Monographs in Mathematics)

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Название: Positive Polynomials: From Hilbert's 17th Problem to Real Algebra (Springer Monographs in Mathematics)

Автор: Prestel A., Delzell C.N.

Аннотация:

Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basic knowledge in algebra, only valuation theory as explained in the appendix is needed.

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Рубрика: Математика/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 250

Добавлена в каталог: 15.05.2011

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Предметный указатель

Valuation, residue field of a      26 203
Valuation, residue map of a      27
Value group      27 204
Valued field      see Valuation
Valued field, algebraically maximal      221
Valued field, complete      228
Valued field, complete, relatively      228
Valued field, completion of a      228
Valued field, finitely ramified      221
Valued field, Henselian      27 216
Valued field, Henselization (or Henselian closure) of a      159 213
Valued field, Henselization (or Henselian closure) of a, characterization of the      217 222
Valued field, rank 1 complete      224
Valued field, relatively complete      see Valued field complete
van den Dries      see Dries
Van den Dries, L.      49
Variety      157
Variety, affine      4

Variety, compact real      152
Voevodsky's theorem      80
W $\ddot{o}$ rmann      136 159 177
Ware, R.      79
Weak Positivstellensatz      see Positivstellensatz weak
Weakly isotropic, weakly 2-isotropic      see Form of degree 2 $m$

and
Web site      VI
Well ordered      25n
Witt Cancellation Theorem      57
Witt Decomposition Theorem      57
Witt Local - Global Principle      68 73-74 76 79 140
Witt ring      VI 53 60 79 247 250-252
Witt ring, fundamental ideal of the      60
Witt ring, reduced      66 79 110
Witt ring, torsion Subgroup of the      66
Witt, E.      79
Zariski spectrum      see Spectrum Zariski
Zero-divisors      108
Ziegler      111 230n 245

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