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- catalog abstract "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.".
- catalog contributor b12601428.
- catalog created "c2002.".
- catalog date "2002".
- catalog date "c2002.".
- catalog dateCopyrighted "c2002.".
- catalog description "Includes bibliographical references (p. [217]-218) and index.".
- catalog description "Preface to English Edition -- Foreword -- Introduction -- Cutoff and other special smooth functions on R n -- Algebras and points -- Smooth manifolds (algebraic definition) -- Charts and atlases -- Smooth maps -- Equivalence of coordinate and algebraic definitions -- Spectra and ghosts -- Algebraic differential calculus -- Smooth bundles -- Vector bundles and projective modules -- Afterword -- References -- Index.".
- catalog description "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.".
- catalog extent "xiv, 222 p. :".
- catalog identifier "0387955437 (alk. paper)".
- catalog isPartOf "Graduate texts in mathematics ; 220".
- catalog issued "2002".
- catalog issued "c2002.".
- catalog language "eng rus".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "516/.07 21".
- catalog subject "Algebra.".
- catalog subject "Cell aggregation Mathematics.".
- catalog subject "Manifolds (Mathematics)".
- catalog subject "Mathematics.".
- catalog subject "QA613 .N48 2002".
- catalog subject "Quantum computing.".
- catalog tableOfContents "Preface to English Edition -- Foreword -- Introduction -- Cutoff and other special smooth functions on R n -- Algebras and points -- Smooth manifolds (algebraic definition) -- Charts and atlases -- Smooth maps -- Equivalence of coordinate and algebraic definitions -- Spectra and ghosts -- Algebraic differential calculus -- Smooth bundles -- Vector bundles and projective modules -- Afterword -- References -- Index.".
- catalog title "Smooth manifolds and observables / Jet Nestruev.".
- catalog type "text".