Universal Formulas in Integral and Fractional Differential Calculus
Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Mathematics, Applied
| Author: | Khavtgai Namsrai | ISBN: | 9789814675611 |
| Publisher: | World Scientific Publishing Company | Publication: | December 17, 2015 |
| Imprint: | WSPC | Language: | English |
| Author: | Khavtgai Namsrai |
| ISBN: | 9789814675611 |
| Publisher: | World Scientific Publishing Company |
| Publication: | December 17, 2015 |
| Imprint: | WSPC |
| Language: | English |
This reference book presents unique and traditional analytic calculations, and features more than a hundred universal formulas where one can calculate by hand enormous numbers of definite integrals, fractional derivatives and inverse operators. Despite the great success of numerical calculations due to computer technology, analytical calculations still play a vital role in the study of new, as yet unexplored, areas of mathematics, physics and other branches of sciences. Readers, including non-specialists, can obtain themselves universal formulas and define new special functions in integral and series representations by using the methods expounded in this book. This applies to anyone utilizing analytical calculations in their studies.
Contents:
- Mathematical Preparation
- Calculation of Integrals Containing Trigonometric and Power Functions
- Integrals Involving xγ, (p + txp)–λ Sine and Cosine Functions
- Derivation of General Formulas for Integrals Involving Powers of x, (a + bx)-Type Binomials and Trigonometric Functions
- Integrals Involving xγ, 1/(p + txp)–λ, exp[–axγ] and Trigonometric Functions
- Integrals Containing Bessel Functions
- Integrals Involving the Neumann Function Nσ(x)
- Integrals Containing Other Cylindrical and Special Functions
- Integrals Involving Two Trigonometric Functions
- Derivation of Universal Formulas for Calculation of Fractional Derivatives and Inverse Operators
Readership: Undergraduate and graduate students interested in analytic calculations in integral calculus. Researchers from the fields of modern mathematical analysis, theoretical physics and engineering. Non-experts interested in integrals, fractional derivatives and inverse operators.
Key Features:
- Content in this book is easy to read
- Has simple tables of integration and taking fractional derivatives and calculating complicated inverse operators
- Most valuable tip from the book is a simple and nice way to perform integration showing it as a design culture but not as tedious work
This reference book presents unique and traditional analytic calculations, and features more than a hundred universal formulas where one can calculate by hand enormous numbers of definite integrals, fractional derivatives and inverse operators. Despite the great success of numerical calculations due to computer technology, analytical calculations still play a vital role in the study of new, as yet unexplored, areas of mathematics, physics and other branches of sciences. Readers, including non-specialists, can obtain themselves universal formulas and define new special functions in integral and series representations by using the methods expounded in this book. This applies to anyone utilizing analytical calculations in their studies.
Contents:
- Mathematical Preparation
- Calculation of Integrals Containing Trigonometric and Power Functions
- Integrals Involving xγ, (p + txp)–λ Sine and Cosine Functions
- Derivation of General Formulas for Integrals Involving Powers of x, (a + bx)-Type Binomials and Trigonometric Functions
- Integrals Involving xγ, 1/(p + txp)–λ, exp[–axγ] and Trigonometric Functions
- Integrals Containing Bessel Functions
- Integrals Involving the Neumann Function Nσ(x)
- Integrals Containing Other Cylindrical and Special Functions
- Integrals Involving Two Trigonometric Functions
- Derivation of Universal Formulas for Calculation of Fractional Derivatives and Inverse Operators
Readership: Undergraduate and graduate students interested in analytic calculations in integral calculus. Researchers from the fields of modern mathematical analysis, theoretical physics and engineering. Non-experts interested in integrals, fractional derivatives and inverse operators.
Key Features:
- Content in this book is easy to read
- Has simple tables of integration and taking fractional derivatives and calculating complicated inverse operators
- Most valuable tip from the book is a simple and nice way to perform integration showing it as a design culture but not as tedious work
