Sinossi
"This book is a radical departure from all previous concepts of advanced calculus," declared the Bulletin of the American Mathematics Society, "and the nature of this departure merits serious study of the book by everyone interested in undergraduate education in mathematics." Classroom-tested in a Princeton University honors course, it offers students a unified introduction to advanced calculus.
Starting with an abstract treatment of vector spaces and linear transforms, the authors introduce a single basic derivative in an invariant form. All other derivatives &; gradient, divergent, curl, and exterior &; are obtained from it by specialization. The corresponding theory of integration is likewise unified, and the various multiple integral theorems of advanced calculus appear as special cases of a general Stokes formula. The text concludes by applying these concepts to analytic functions of complex variables.
Starting with an abstract treatment of vector spaces and linear transforms, the authors introduce a single basic derivative in an invariant form. All other derivatives &; gradient, divergent, curl, and exterior &; are obtained from it by specialization. The corresponding theory of integration is likewise unified, and the various multiple integral theorems of advanced calculus appear as special cases of a general Stokes formula. The text concludes by applying these concepts to analytic functions of complex variables.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
I The Algebra of Vector Spaces II Linear Transformations of Vector Spaces III The Scalar Product IV Vector Products in R3 V Endomorphisms VI Vector-Valued Functions of a Scalar VII Scalar-Valued Functions of a Vector VIII Vector-Valued Functions of a Vector IX Tensor Products and the standard Algebras X Topology and Analysis XI Differential Calculus of Forms XII Integral Calculus of Forms XIII Complex Structure
Product Description
Starting with an abstract treatment of vector spaces and linear transforms, this introduction presents a corresponding theory of integration and concludes with applications to analytic functions of complex variables. 1959 edition.
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Advanced Calculus
Editore:
Dover Publications, 2011
ISBN 10: 0486480909
ISBN 13: 9780486480909
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Softcover
Da: Skoob-ebooks, Pontiac, QC, Canada
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Softcover. Condizione: Very Good. Minor wear only. The pages are clean and crisp with no highlighting or writing detected. The cover is clean with minor shelf wear only. Ships from Canada. Satisfaction guaranteed with 30-day return policy. ; 6.5 X 1.25 X 9 inches; 560 pages; R0 2.5m/2.5m s0. Codice articolo 12004
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Foto dell'editore
Advanced Calculus (Dover Books on Mathematics)
Editore:
Dover Publications Inc., 2011
ISBN 10: 0486480909
ISBN 13: 9780486480909
Antico o usato
Soft cover
Da: Bay Books, Bradwell on Sea, Regno Unito
Valutazione del venditore 5 su 5 stelle
Soft cover. Condizione: Fine. Very slight creasing to cover. Spine unbroken, pages clean. Codice articolo 109
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