Mathematical Methods in Science and Engineering (PDF)

An innovative treatment of mathematical methods for a
multidisciplinary audience

Clearly and elegantly presented, Mathematical Methods in Science
and Engineering provides a coherent treatment of mathematical
methods, bringing advanced mathematical tools to a
multidisciplinary audience. The growing interest in
interdisciplinary studies has brought scientists from many
disciplines such as physics, mathematics, chemistry, biology,
economics, and finance together, which has increased the demand for
courses in upper-level mathematical techniques. This book succeeds
in not only being tuned in to the existing practical needs of this
multidisciplinary audience, but also plays a role in the
development of new interdisciplinary science by introducing new
techniques to students and researchers.

Mathematical Methods in Science and Engineering's modular structure
affords instructors enough flexibility to use this book for several
different advanced undergraduate and graduate level courses. Each
chapter serves as a review of its subject and can be read
independently, thus it also serves as a valuable reference and
refresher for scientists and beginning researchers.

There are a growing number of research areas in applied sciences,
such as earthquakes, rupture, financial markets, and crashes, that
employ the techniques of fractional calculus and path integrals.
The book's two unique chapters on these subjects, written in a
style that makes these advanced techniques accessible to a
multidisciplinary audience, are an indispensable tool for
researchers and instructors who want to add something new to their
compulsory courses.

Mathematical Methods in Science and Engineering includes:

* Comprehensive chapters on coordinates and tensors and on
continuous groups and their representations

* An emphasis on physical motivation and the multidisciplinary
nature of the methods discussed

* A coherent treatment of carefully selected topics in a style that
makes advanced mathematical tools accessible to a multidisciplinary
audience

* Exercises at the end of every chapter and plentiful examples
throughout the book

Mathematical Methods in Science and Engineering is not only
appropriate as a text for advanced undergraduate and graduate
physics programs, but is also appropriate for engineering science
and mechanical engineering departments due to its unique chapter
coverage and easily accessible style. Readers are expected to be
familiar with topics typically covered in the first three years of
science and engineering undergraduate programs. Thoroughly
class-tested, this book has been used in classes by more than 1,000
students over the past eighteen years.