Advanced Calculus

Differential Calculus and Stokes' Theorem
Buch | Softcover
X, 303 Seiten
2016
De Gruyter (Verlag)
978-3-11-043821-5 (ISBN)
44,95 inkl. MwSt
This textbook offers a high-level introduction to multi-variable differential calculus. Differential forms are introduced incrementally in the narrative, eventually leading to a unified treatment of Green’s, Stokes’ and Gauss’ theorems. Furthermore, the presentation offers a natural route to differential geometry. Contents:Calculus of Vector FunctionsTangent Spaces and 1-formsLine IntegralsDifferential Calculus of MappingsApplications of Differential CalculusDouble and Triple IntegralsWedge Products and Exterior DerivativesIntegration of FormsStokes’ Theorem and Applications

Pietro-Luciano Buono, University of Ontario Institute of Technology, Canada.

"The characteristic features of the book are the abundance of worked examples, illustrated by nicely drawn suggestive gures and the excellent layout [...]. There are also exercises at the end of each section. The book is clearly written, in a pleasant style, and can be recommended as a textbook for advanced calculus courses."
Tiberiu Trif in: Stud. Univ. Babes-Bolyai Math. 62 (2017), 2, S. 269-271

"Quibbles aside, I'm greatly impressed by this book. There is a very nice section on differential operators, and the treatment of double and triple integrals leads naturally to the idea of integration of forms and integrals on a surface. Also, by restricting discussion to one, two and three forms in a geometric context, the book avoids many of those daunting generalities on differential forms. Such features, together with an abundant provision of practice exercises (no hints or solutions) make this an ideal teaching text." MAA Reviews

Erscheinungsdatum
Reihe/Serie De Gruyter Textbook
Zusatzinfo 60 col. ill.
Verlagsort Berlin/Boston
Sprache englisch
Maße 170 x 240 mm
Gewicht 599 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Schlagworte 2015 • Analysis • Bias • Busch • Calculus • Differential • Differential Calculus • Differentialform • Differenzialgleichungen • Geometry • Mathematical Analysis • Mathematics • Mathematik • nicht rabattbeschränkt/Sortimentstitel • Stokessche Gleichungen • Stokes' theorem • Vector analysis • Vektoranalysis • VOLUME67
ISBN-10 3-11-043821-6 / 3110438216
ISBN-13 978-3-11-043821-5 / 9783110438215
Zustand Neuware
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