Advanced Calculus for Mathematical Modeling in Engineering and Physics

With Discrete and Numerical Analogies

AvDavid Stapleton,USA) Stapleton, David (Professor, Department of Mathematics & Statistics University of Central Oklahoma Edmond, Oklahoma

Häftad, Engelska, 2024

1 253 kr

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Beskrivning

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.

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)

Produktinformation

Utgivningsdatum:2024-06-14
Mått:216 x 276 x 46 mm
Vikt:2 280 g
Format:Häftad
Språk:Engelska
Antal sidor:880
Förlag:Elsevier Science
ISBN:9780443222894

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David Stapleton received his BS from the University of California, Santa Barbara and MS from the University of California, San Diego, before earning his PhD from University of Arizona in 1990. Now a Professor at University of Central Oklahoma, Dr. Stapleton has taught courses in advanced calculus for applications, mathematical modeling, calculus of variations, tensors, numerical linear algebra, and other mathematical topics and has served three times as the Director of the Conference on Applied Mathematics. He has published articles in various journals and proceedings of the AIAA, SIAM, IEEE/ION PLANS, Navigation, Foundations of Physics, Physics Communications, AJCM, STAIF, FAA, ICAO, and more. He has also worked as a contractor to the FAA at the FAA Technical Center and Mike Monroney Aeronautical Center and also has experience as a contractor to the USAF at Cape Canaveral, Vandenberg AFB (now Vandenberg SFB), and Edwards AFB.

Innehållsförteckning

1. Calculus Models in State Spaces2. Ordinary Differential Equations and Recurrence Relations3. Systems Of Differential Equations and Discrete Analogies4. Integration For Advanced Calculus Models5. Partial Differential Equations and Applications6. Calculus Of Variations7. Calculus With Complex Numbers8. Introduction to Tensors