Stapleton, David

Advanced Calculus for Mathematical Modeling in Engineering and Physics : Discrete and Numerical Analogies - London : Academic Press, 2024. - xv,863p. : ill. ; 27 cm.

Includes references, appendix and index.

Advanced Calculus for Mathematical Modeling in Engineering and Physics: With Discrete and Numerical Analogies introduces the principles and methods of advanced calculus for mathematical modeling through a balance of theory and application using a state space approach with elementary functional analysis. This framework facilitates a deeper understanding of the nature of mathematical models, and of the behavior of their solutions. The work provides a variety of advanced calculus models for mathematical, physical science, and engineering audiences, with discussions on how calculus-based models and their discrete analogies are generated. This valuable textbook offers scientific computations driven by Octave/MATLAB script.

9780443222894


Calculus.
Differential equations.
Tensors.
Partial differential equations.