000 02453nam a2200337 i 4500
008 020620s2003 nyua b 001 0 eng
010 _a2002026664
020 _a0387955437
_qalk. paper
020 _a9780387955438
_qalk. paper
040 _aDLC
_beng
_cDLC
_dC#P
_dOHX
_dBAKER
_dNLGGC
_dBTCTA
_dLVB
_dUBA
_dYDXCP
_dSTF
_dOCLCQ
_dB3G
_dHEBIS
_dDEBBG
_dOCL
_dOCLCQ
_dDEBSZ
_dOCLCQ
_dTULIB
_dMUU
_dOCLCF
_dOCLCO
_dBAUN
041 1 _aeng
_hrus
049 _aBAUN_MERKEZ
050 0 4 _aQA613
_b.N48 2003
100 1 _aNestruev, Jet.
245 1 0 _aSmooth manifolds and observables /
_cJet Nestruev.
264 1 _aNew York :
_bSpringer,
_c[2003]
264 4 _c©2003
300 _axiv, 222 pages :
_billustrations ;
_c25 cm.
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
490 1 _aGraduate texts in mathematics ;
_v218
504 _aIncludes bibliographical references (pages [217]-218) and index.
505 0 0 _t1. Introduction
_t-- 2. Cutoff and Other Special Smooth Functions on R[superscript n]
_t-- 3. Algebras and Points
_t-- 4. Smooth Manifolds (Algebraic Definition)
_t-- 5. Charts and Atlases
_t-- 6. Smooth Maps
_t-- 7. Equivalence of Coordinate and Algebraic Definitions
_t-- 8. Spectra and Ghosts
_t-- 9. The Differential Calculus as a Part of Commutative Algebra
_t-- 10. Smooth Bundles
_t-- 11. Vector Bundles and Projective Modules
_t-- App. Observability Principle, Set Theory and the "Foundations of Mathematics"
_r/ A.M. Vinogradov.
520 _a"Completely new approach to the subject. This book is a self-contained introduction to fiber spaces and differential operators on smooth manifolds that is accessible to graduate students specializing in mathematics and physics. Over the last 20 years the authors developed an algebraic approach to the subject and they explain in this book why differential calculus on manifolds can be considered as an aspect of commutative algebra. This new approach is based on the fundamential notion of "observable" which is used by physicists and it will further the understanding of the mathematics underlying quantum field theory. The prerequisites for this book are a standard advanced calculus course as well as courses in linear algebra and algebraic structures."--Publisher's website.
650 0 _aManifolds (Mathematics)
830 0 _919347
_aGraduate texts in mathematics ;
_v218.
900 _a19958
900 _bSatın
942 _2lcc
_cKT
999 _c16784
_d16784