TY - BOOK ID - 308627 TI - Introduction to the Foundations of Applied Mathematics PY - 2009 SN - 0387877657 9780387877495 0387877495 9780387877655 PB - New York, NY : Springer New York : Imprint: Springer, DB - UniCat KW - Mathematical physics. KW - Mathematics. KW - Mechanics. KW - Classical mechanics KW - Newtonian mechanics KW - Physics KW - Dynamics KW - Quantum theory KW - Math KW - Science KW - Physical mathematics KW - Mathematics KW - Engineering mathematics. KW - Mathematical Modeling and Industrial Mathematics. KW - Classical Mechanics. KW - Mathematical Methods in Physics. KW - Mathematics, general. KW - Mathematical models. KW - Physics. KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Models, Mathematical KW - Simulation methods UR - https://www.unicat.be/uniCat?func=search&query=sysid:308627 AB - 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. ER -