Mathematical Methods in Science and Engineering

An innovative treatment of mathematical methods for amultidisciplinary audience
Clearly and elegantly presented, Mathematical Methods in Scienceand Engineering provides a coherent treatment of mathematicalmethods, bringing advanced mathematical tools to amultidisciplinary audience. The growing interest ininterdisciplinary studies has brought scientists from manydisciplines such as physics, mathematics, chemistry, biology,economics, and finance together, which has increased the demand forcourses in upper-level mathematical techniques. This book succeedsin not only being tuned in to the existing practical needs of thismultidisciplinary audience, but also plays a role in thedevelopment of new interdisciplinary science by introducing newtechniques to students and researchers.
Mathematical Methods in Science and Engineering's modular structureaffords instructors enough flexibility to use this book for severaldifferent advanced undergraduate and graduate level courses. Eachchapter serves as a review of its subject and can be readindependently, thus it also serves as a valuable reference andrefresher for scientists and beginning researchers.
There are a growing number of research areas in applied sciences,such as earthquakes, rupture, financial markets, and crashes, thatemploy the techniques of fractional calculus and path integrals.The book's two unique chapters on these subjects, written in astyle that makes these advanced techniques accessible to amultidisciplinary audience, are an indispensable tool forresearchers and instructors who want to add something new to theircompulsory courses.
Mathematical Methods in Science and Engineering includes:
* Comprehensive chapters on coordinates and tensors and oncontinuous groups and their representations
* An emphasis on physical motivation and the multidisciplinarynature of the methods discussed
* A coherent treatment of carefully selected topics in a style thatmakes advanced mathematical tools accessible to a multidisciplinaryaudience
* Exercises at the end of every chapter and plentiful examplesthroughout the book
Mathematical Methods in Science and Engineering is not onlyappropriate as a text for advanced undergraduate and graduatephysics programs, but is also appropriate for engineering scienceand mechanical engineering departments due to its unique chaptercoverage and easily accessible style. Readers are expected to befamiliar with topics typically covered in the first three years ofscience and engineering undergraduate programs. Thoroughlyclass-tested, this book has been used in classes by more than 1,000students over the past eighteen years.