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Author Buono, Pietro-Luciano, author.

Title Advanced calculus : differential calculus and Stokes' theorem / Pietro-Luciano Buono
Published ©2016
Berlin : Walter de Gruyter GmbH, KG, [2016]


Description 1 online resource (314 pages)
Series De Gruyter textbook
De Gruyter textbook.
Contents Frontmatter -- Contents -- Preface -- 1. Introduction -- 2. Calculus of Vector Functions -- 3. Tangent Spaces and 1-forms -- 4. Line Integrals -- 5. Differential Calculus of Mappings -- 6. Applications of Differential Calculus -- 7. Double and Triple Integrals -- 8. Wedge Products and Exterior Derivatives -- 9. Integration of Forms -- 10. Stokes' Theorem and Applications -- Bibliography -- Index
Summary This textbook offers a high-level introduction to multi-variable differential calculus. By introducing differential forms early as a basic concept, the structures behind Stokes' and Gauss' theorems become much clearer. Furthermore, it offers a natural route to differential geometry
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (EBSCO, viewed February 6, 2018)
Subject Differential calculus.
Mathematical analysis.
Stokes' theorem.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Differential calculus.
Mathematical analysis.
Stokes' theorem.
Form Electronic book
ISBN 9783110429114