Differential and integral calculus, the most applicable mathematical theory, was created independently by Isaac Newton and Gottfried Wilhelm Leibnitz in the second half of the 17th century. Later Leonard Euler redirect calculus by giving a central place to the concept of function, and thus founded analysis. Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are the infinitesimal versions of the subtraction and addition operations on numbers, respectively. In the new kind of derivative and integral, moving the roles of subtraction and addition to...
Differential and integral calculus, the most applicable mathematical theory, was created independently by Isaac Newton and Gottfried Wilhelm Leibnitz ...
The theory of time scales was introduced by Stefan Hilger in his PhD thesis in 1988 (supervised by Bernd Aulbach) in order to unify continuous and discrete analysis and to extend the continuous and discrete theories to cases "in between".This book presents an introduction to the theory of the Laplace transform on time scales and some of its applications. The book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. Students in mathematical and physical sciences will find many sections of direct relevance.The aim of this...
The theory of time scales was introduced by Stefan Hilger in his PhD thesis in 1988 (supervised by Bernd Aulbach) in order to unify continuous and dis...