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Advanced Calculus for Mathematical Modeling in Engineering and Physics
David Stapleton
其他書名
With Discrete and Numerical Analogies
出版Elsevier, 2024-06-20
主題Mathematics / Applied
ISBN04432228869780443222887
URLhttp://books.google.com.hk/books?id=icTnEAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋Advanced Calculus for Mathematical Modeling in Engineering and Physics 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 discussion of how calculus-based models and their discrete analogies are generated. This valuable textbook offers scientific computations driven by Octave/MATLAB script, in recognition of the rising importance of associated numerical models. - Adopts a state space/functional analysis approach to advanced calculus-based models to provide a better understanding of the development of models and the behaviors of their solutions - Uniquely includes discrete analogies to calculus-based models, as well as the derivation of many advanced calculus models of physics and engineering– instead of only seeking solutions to the models - Offers online teaching support for qualified instructors (for selected solutions) and study materials for students (MATLAB/Octave scripts)