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Multivariable Dynamic Calculus on Time Scales

  • Book
  • © 2016

Overview

Authors:
  1. Martin Bohner

    1. Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, USA

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  2. Svetlin G. Georgiev

    1. Faculty of Mathematics and Informatics, Sofia University St. Kliment Ohridski, Sofia, Bulgaria

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    You can also search for this author in PubMed   Google Scholar

  • Covers recent developments of an upcoming and niche topic for new researchers

  • Supplements current undergraduate and graduate texts on calculus

  • Offers a thorough set of examples and exercises for better comprehension

  • Includes supplementary material: sn.pub/extras

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Time Scales

    • Martin Bohner, Svetlin G. Georgiev
    Pages 1-22

  3. Differential Calculus of Functions of One Variable

    • Martin Bohner, Svetlin G. Georgiev
    Pages 23-95

  4. Integral Calculus of Functions of One Variable

    • Martin Bohner, Svetlin G. Georgiev
    Pages 97-237

  5. Sequences and Series of Functions

    • Martin Bohner, Svetlin G. Georgiev
    Pages 239-260

  6. Parameter-Dependent Integrals

    • Martin Bohner, Svetlin G. Georgiev
    Pages 261-302

  7. Partial Differentiation on Time Scales

    • Martin Bohner, Svetlin G. Georgiev
    Pages 303-447

  8. Multiple Integration on Time Scales

    • Martin Bohner, Svetlin G. Georgiev
    Pages 449-515

  9. Line Integrals

    • Martin Bohner, Svetlin G. Georgiev
    Pages 517-561

  10. Surface Integrals

    • Martin Bohner, Svetlin G. Georgiev
    Pages 563-597

  11. Back Matter

    Pages 599-603
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Keywords

About this book

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.

Reviews

“The present book provides a comprehensive treatise on the multivariable calculus on time scales. It is a very natural and nice sequel of the pair of monographs concerning the fundamental theory of the time scale calculus and dynamic equations. … I recommend this book to everybody who is interested in time scale calculus. … the book also very suitable for beginners such as, e.g., undergraduate students.” (Petr Zemánek, zbMATH 1475.26001, 2022)


“This book is a nice addition to an already nice group of books … concerning dynamics equations on time scales. Anyone with an interest in dynamics equations on time scales would be greatly interested in this well-written book. The 275 examples and 239 exercises should be very helpful to the reader in understanding the material.” (Allan C. Peterson, Mathematical Reviews, August, 2017)

Authors and Affiliations

  • Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, USA

    Martin Bohner

  • Faculty of Mathematics and Informatics, Sofia University St. Kliment Ohridski, Sofia, Bulgaria

    Svetlin G. Georgiev

About the authors

Martin Bohner - University of Missouri-Rolla, Department of Mathematics and Statistics, Rolla, Missouri.

Svetlin G. Georgiev - Sofia University, Faculty of Mathematics and Informatics, Department of Differential Equations, Bulgaria.

Bibliographic Information

  • Book Title: Multivariable Dynamic Calculus on Time Scales

  • Authors: Martin Bohner, Svetlin G. Georgiev

  • DOI: https://doi.org/10.1007/978-3-319-47620-9

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-47619-3Published: 04 April 2017

  • Softcover ISBN: 978-3-319-83783-3Published: 08 May 2018

  • eBook ISBN: 978-3-319-47620-9Published: 20 March 2017

  • Edition Number: 1

  • Number of Pages: XIII, 603

  • Topics: Analysis

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