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Multivariable Dynamic Calculus on Time Scales / by Martin Bohner, Svetlin G. Georgiev.

Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online

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Format:
Book
Author/Creator:
Bohner, Martin., Author.
Georgiev, Svetlin, Author.
Language:
English
Subjects (All):
Mathematical analysis.
Analysis.
Local Subjects:
Analysis.
Physical Description:
1 online resource (608 pages) : illustrations
Edition:
1st ed. 2016.
Place of Publication:
Cham : Springer International Publishing : Imprint: Springer, 2016.
Summary:
This book offers the reader an overview of recent developments of multivariable dynamic calculus on time scales, taking readers beyond the traditional calculus texts. Covering topics from parameter-dependent integrals to partial differentiation on time scales, the book’s nine pedagogically oriented chapters provide a pathway to this active area of research that will appeal to students and researchers in mathematics and the physical sciences. The authors present a clear and well-organized treatment of the concept behind the mathematics and solution techniques, including many practical examples and exercises.
Contents:
1. Time Scales
2. Differential Calculus of Functions of One Variable
3. Integral Calculus of Functions of One Variable
4. Partial Differentiation on Time Scales
5. Multiple Integration on Time Scales
6. Sequences and Series of Functions
7. Parameter-Dependent Integrals
8. Line Integrals
9. Surface Integrals
Index.
Notes:
Includes bibliographical references and index.
ISBN:
3-319-47620-3

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