# Introduction to the Foundations of Applied Mathematics

Part of the Texts in Applied Mathematics book series (TAM, volume 56)

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Textbook

Part of the Texts in Applied Mathematics book series (TAM, volume 56)

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.

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:**

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

Applied Mathematics Foundations Identity Introduction calculus equation linear optimization mathematics theorem

- DOI https://doi.org/10.1007/978-3-030-24261-9
- Copyright Information Springer Nature Switzerland AG 2019
- Publisher Name Springer, Cham
- eBook Packages Mathematics and Statistics
- Print ISBN 978-3-030-24260-2
- Online ISBN 978-3-030-24261-9
- Series Print ISSN 0939-2475
- Series Online ISSN 2196-9949
- Buy this book on publisher's site