This comprehensive volume explores differentiation and integration, detailing their theories, concepts, and formulations. The book introduces various techniques for computing these mathematical elements for different types of functions and presents their applications.
Python code is extensively used throughout the book, allowing readers to practice and interact with the concepts in real-time. This hands-on approach helps in comprehending the theory, techniques, and results of computational operations in differentiation and integration. Real-world engineering problems are connected to the theoretical discussions through numerous examples.
Written in Jupyter notebook format, the useful reference text offers a unified environment for theory description, code execution, and real-time interaction, making it ideal for reading, practicing, and further exploration.
Contents:
- Introduction
- Derivatives of One-Dimensional Functions
- Partial Derivatives of Functions
- Integration of One-Dimensional Functions
- Integration of Multi-Dimensional Functions
Readership: Researchers, professionals, academics and graduate and upper undergraduate students in calculus of variations and optimal control, and general applied mathematics.