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  2. Regning og matematisk analyse
  3. Reel analyse, reelle variabler

Advanced Calculus

- A Geometric View
Af: James J. Callahan Engelsk Hardback

Advanced Calculus

- A Geometric View
Af: James J. Callahan Engelsk Hardback
Tjek vores konkurrenters priser
With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus.  Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse''s lemma and the Poincaré lemma.  The ideas behind most topics can be understood with just two or three variables.  The book incorporates modern computational tools to give visualization real power.  Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps.  The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books.  This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics.  Prerequisites are an introduction to linear algebra and multivariable calculus.  There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry.  The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.
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With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus.  Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse''s lemma and the Poincaré lemma.  The ideas behind most topics can be understood with just two or three variables.  The book incorporates modern computational tools to give visualization real power.  Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps.  The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books.  This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics.  Prerequisites are an introduction to linear algebra and multivariable calculus.  There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry.  The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 526
ISBN-13: 9781441973313
Indbinding: Hardback
Udgave:
ISBN-10: 1441973311
Kategori: Reel analyse, reelle variabler
Udg. Dato: 17 sep 2010
Længde: 34mm
Bredde: 188mm
Højde: 265mm
Forlag: Springer-Verlag New York Inc.
Oplagsdato: 17 sep 2010
Forfatter(e): James J. Callahan
Forfatter(e) James J. Callahan

Kategori Reel analyse, reelle variabler

ISBN-13 9781441973313

Sprog Engelsk

Indbinding Hardback

Sider 526

Udgave

Længde 34mm

Bredde 188mm

Højde 265mm

Udg. Dato 17 sep 2010

Oplagsdato 17 sep 2010

Forlag Springer-Verlag New York Inc.

Kategori sammenhænge