---

＜電子ブック＞
Introduction to the Foundations of Applied Mathematics / by Mark H. Holmes
(Texts in Applied Mathematics. ISSN:21969949 ; 56)

版	1st ed. 2009.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2009
本文言語	英語
大きさ	XIV, 468 p : online resource
著者標目	*Holmes, Mark H author SpringerLink (Online service)
件　名	LCSH:Mathematical models LCSH:Mechanics LCSH:Mathematical physics LCSH:Mathematics FREE:Mathematical Modeling and Industrial Mathematics FREE:Classical Mechanics FREE:Mathematical Methods in Physics FREE:Mathematics
一般注記	Dimensional Analysis -- Perturbation Methods -- Kinetics -- Diffusion -- Traffic Flow -- Continuum Mechanics: One Spatial Dimension -- Elastic and Viscoelastic Materials -- Continuum Mechanics: Three Spatial Dimensions -- Fluids The objective of this textbook is the construction, analysis, and interpretation of mathematical models to help us understand the world we live in. Rather than follow a case study approach it develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering. Science evolves, and this means that the problems of current interest continually change. What does not change as quickly is the approach used to derive the relevant mathematical models, and the methods used to analyze the models. Consequently, this book is written in such a way as to establish the mathematical ideas underlying model development independently of a specific application. This does not mean applications are not considered, they are, and connections with experiment are a staple of this book. The book, as well as the individual chapters, is written in such a way that the material becomes more sophisticated as you progress. This provides some flexibility in how the book is used, allowing consideration for the breadth and depth of the material covered. Moreover, there are a wide spectrum of exercises and detailed illustrations that significantly enrich the material. Students and researchers interested in mathematical modelling in mathematics, physics, engineering and the applied sciences will find this text useful HTTP:URL=https://doi.org/10.1007/978-0-387-87765-5

 類似資料