Multivariable Dynamic Calculus on Time Scales
β Scribed by Martin Bohner, Svetlin G. Georgiev
- Publisher
- Springer International Publishing
- Year
- 2017
- Tongue
- English
- Leaves
- 605
- Edition
- 1st ed.
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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 bookβs 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.
β¦ Table of Contents
Front Matter....Pages i-xiii
Time Scales....Pages 1-22
Differential Calculus of Functions of One Variable....Pages 23-95
Integral Calculus of Functions of One Variable....Pages 97-237
Sequences and Series of Functions....Pages 239-260
Parameter-Dependent Integrals....Pages 261-302
Partial Differentiation on Time Scales....Pages 303-447
Multiple Integration on Time Scales....Pages 449-515
Line Integrals....Pages 517-561
Surface Integrals....Pages 563-597
Back Matter....Pages 599-603
β¦ Subjects
Global analysis (Mathematics);Differentiable dynamical systems;Difference equations
π SIMILAR VOLUMES
<p>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 bookβs nine pedagogically orient
<p>The latest advancements in time scale calculus are the focus of this book. New types of time-scale integral transforms are discussed in the book, along with how they can be used to solve dynamic equations. Novel numerical techniques for partial dynamic equations on time scales are described. New
<p>The latest advancements in time scale calculus are the focus of this book. New types of time-scale integral transforms are discussed in the book, along with how they can be used to solve dynamic equations. Novel numerical techniques for partial dynamic equations on time scales are described. New
<p><span>The latest advancements in time scale calculus are the focus of this book. New types of time-scale integral transforms are discussed in the book, along with how they can be used to solve dynamic equations. Novel numerical techniques for partial dynamic equations on time scales are described
<p>Pedagogically organized, this monograph introduces fractional calculus and fractional dynamic equations on time scales in relation to mathematical physics applications and problems. Beginning with the definitions of forward and backward jump operators, the book builds from Stefan Hilgerβs basic t