General Quantum Variational Calculus

<p>Quantum calculus is the modern name for the investigation of calculus without limits. Quantum calculus or q-calculus began with F.H. Jackson in the early twentieth century but this kind of calculus had already been worked out by renowned mathematicians Euler and Jacobi.</p><p>Lately quantum calculus has aroused a great amount of interest due to the high demand of mathematics that model quantum computing. The q-calculus appeared as a connection between mathematics and physics. It has a lot of applications in different mathematical areas such as number theory combinatorics orthogonal polynomials basic hypergeometric functions and other quantum theory sciences mechanics and the theory of relativity. Recently the concept of general quantum difference operators that generalize quantum calculus has been defined. </p><p><strong>General Quantum Variational Calculus</strong> is specially designed for those who wish to understand this important mathematical concept as the text encompasses recent developments of general quantum variational calculus. The material is presented in a highly readable mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques.</p><p>This book is addressed to a wide audience of specialists such as mathematicians physicists engineers and biologists. It can be used as a textbook at the graduate level and as a reference for several disciplines.</p>