Generalized Quantum Calculus with Applications

Capture a new way of thinking about discrete and continuous change with Generalized Quantum Calculus with Applications by Svetlin G. Georgiev and Sanket Tikare. This definitive volume brings clarity to advanced q-calculus and generalized difference operators, presenting a unified framework that bridges pure theory and practical application.

Inside, you’ll find a readable yet rigorous development of generalized quantum calculus: foundational definitions, operator theory, convergence results, and well-crafted proofs. The authors emphasize applied perspectives — from difference and differential equations to models in mathematical physics, control theory, and engineering — making complex ideas accessible through worked examples and real-world problem setups. Carefully selected examples guide readers through applications in time scales, q-analogues of classical results, and modern problems in applied mathematics.

Ideal for graduate students, researchers, and professionals in mathematics, physics, and engineering, this book serves both as a course text and a research reference. Its clear structure supports self-study while its depth fuels advanced research. Whether you’re refining analytical techniques or seeking new tools for modeling discrete-continuous systems, this title equips you with methods that are relevant across universities and industry labs in the US, Europe, India, and beyond.

Discover a resource that combines theoretical sophistication with practical utility. Expand your toolkit with Generalized Quantum Calculus with Applications — an essential addition to the library of anyone working in q-calculus, time scales, or applied mathematical modeling. Order your copy today and start applying these powerful techniques to your research and projects.

Note: eBooks do not include supplementary materials such as CDs, access codes, etc.