Time Scales Analysis: Differentiation, Integration, Elementary Functions (De Gruyter Textbook)
Language: English
Published by De Gruyter, 2026
- Softcover
- New
Seller: Revaluation Books, Exeter, United KingdomRevaluation Books
AbeBooks seller since January 6, 2003
Condition: New
£ 58.20
Quantity: 2 available
Add to basketItem description from seller
340 pages. 6.69x2.00x9.45 inches. In Stock.
Seller Inventory # __3112232070
- Title
- Time Scales Analysis: Differentiation, Integration, Elementary Functions (De Gruyter Textbook)
- Author
- Georgiev, Svetlin (Author)
- Publisher
- De Gruyter
- Publication year
- 2026
- Condition
- Brand New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 3112232070
- ISBN 13
- 9783112232071
- Item weight
- 0.92 kilograms
In Chapter 1, time scales are defined and some examples are given. Forward jump operators, backward jump operators, forward graininess functions and backward graininess functions are defined and some of their properties are given. The induction principle and dual induction principle are introduced. Chapter 2 deals with the delta differential calculus for one variable functions on time scales. The basic definition of delta differentiation is due to Hilger. We have included several examples on delta differentiation and the delta Leibniz formula for the nth delta derivative of a product of two functions. Nabla derivatives are introduced. We present delta mean value results. They are given sufficient conditions for delta convexity and delta concavity of one variable functions. It is stated a sufficient condition for completely delta differentiability of one variable function. Several versions of
delta chain rules and delta L’Hˆopitals rules, which do not appear in the usual form, are included. In Chapter 3 are introduced the main concepts for regulated, delta rd-continuous and delta pre-differentiable functions. They are defined indefinite delta integral and the Riemann delta integral and they are deducted some of their properties. The basic delta monomials are defined and investigated. In the chapter are represented different variants of Taylor’s formula. Improper integrals of the first and the second kind are defined and some of their properties are deduced. A survey on nabla integrals is done. Chapter 4 is devoted to the Hilger complex plane and the basic operations circle plus and circle minus. They are defined the basic delta elementary functions: delta exponential function, delta trigonometric functions and delta hyperbolic functions. Some of their properties are deduced.
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About the Author
Svetlin G. Georgiev works on various aspects of mathematics. His current research focuses on harmonic analysis, ordinary differential equations, partial differential equations, fractional calculus, time scale calculus, integral equations, numerical analysis, differential geometry, and dynamic geometry.
"About the title" may belong to another edition of this title.
Revaluation Books
Exeter, United Kingdom
AbeBooks seller since January 6, 2003
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