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Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
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Introduction to the Foundations of Applied Mathematics (Hardcover, 2nd ed. 2019)
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Introduction to the Foundations of Applied Mathematics (Hardcover, 2nd ed. 2019)
Series: Texts in Applied Mathematics, 56
Expected to ship within 12 - 19 working days
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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:
"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
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