Introduction to the Foundations of Applied...

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Beschreibung

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. Thisprovides 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.
The material, and topics, have been updated to include recent developments in mathematical modeling. The exercises have also been expanded to include these changes, as well as enhance those from the first edition.
Review of first edition:
"The goal of this book is to introduce the mathematical tools needed for analyzing and deriving mathematical models. ¿ Holmes is able to integrate the theory with application in a very nice way providing an excellent book on applied mathematics. ¿ One of the best features of the book is the abundant number of exercises found at the end of each chapter. ¿ I think this is a great book, and I recommend it for scholarly purposes by students, teachers, and researchers."

Joe Latulippe, The Mathematical Association of America, December, 2009

Über den Autor

Mark Holmes is a Professor at Rensselaer Polytechnic Institute, and is currently the Director of the Center for Modeling, Optimization and Computational Analysis. His research interests involve problems integrating modeling and computational analysis. Professor Holmes has three published books in Springer's Texts in Applied Mathematics series: Introduction to Perturbation Methods, Introduction to the Foundations of Applied Mathematics, and Introduction to Numerical Methods in Differential Equations.

Zusammenfassung

Strong addition to mathematical modeling textbooks

Well known author with previous successful books

Comprehensive development of tools and analysis for mathematical modeling and exercises from real world applications are included

Inhaltsverzeichnis

Dimensional Analysis.- Perturbation Methods.- Kinetics.- Diffusion.- Traffic Flow.- Continuum Mechanics: One Spatial Dimension.- Elastic and Viscoelastic Materials.- Continuum Mechanics: Three Spatial Dimensions.- Newtonian Fluids.- Appendices.

Details

Erscheinungsjahr:	2020
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	544
Reihe:	Texts in Applied Mathematics
Inhalt:	xvi 528 S. 70 s/w Illustr. 120 farbige Illustr. 528 p. 190 illus. 120 illus. in color.
ISBN-13:	9783030242633
ISBN-10:	3030242633
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Holmes, Mark H.
Auflage:	2nd ed. 2019
Hersteller:	Springer International Publishing Springer International Publishing AG Texts in Applied Mathematics
Maße:	235 x 155 x 30 mm
Von/Mit:	Mark H. Holmes
Erscheinungsdatum:	15.10.2020
Gewicht:	0,814 kg

preigu-id: 118967690