Authors:
- 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
Part of the book series: Texts in Applied Mathematics (TAM, volume 56)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
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
Authors and Affiliations
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Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA
Mark H. Holmes
About the author
Bibliographic Information
Book Title: Introduction to the Foundations of Applied Mathematics
Authors: Mark H. Holmes
Series Title: Texts in Applied Mathematics
DOI: https://doi.org/10.1007/978-3-030-24261-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-24260-2Published: 15 October 2019
Softcover ISBN: 978-3-030-24263-3Published: 15 October 2020
eBook ISBN: 978-3-030-24261-9Published: 02 October 2019
Series ISSN: 0939-2475
Series E-ISSN: 2196-9949
Edition Number: 2
Number of Pages: XVI, 528
Number of Illustrations: 70 b/w illustrations, 120 illustrations in colour
Topics: Mathematical Modeling and Industrial Mathematics, Classical Mechanics, Mathematical Methods in Physics