Written in problem-solving format, this book emphasizes the purpose of an advanced calculus course by offering a more thorough presentation of some topics to which engineering and physical science students have already been exposed. By supplementing and extending these subjects, the book demonstrates how the tools and ideas developed are vital to an understanding of advanced physical theories.
The first part of this book reviews some key topics on multi-variable advanced calculus.
Moreover, the book not only explains the mathematics behind the applications, but the scientific principles and laws as well.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course ...
As part of a series of books for engineers and scientists exploring advanced mathematics, Generalized Calculus with Applications to Matter and Forces presents generalized functions from an applied point of view, tackling problem classes ...
This text is basically divided into two parts.
This book is a high-level introduction to vector calculus based solidly on differential forms.
As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complex-valued functions, applications of calculus to modeling ...
Written for a wide spectrum of undergraduate students by an experienced author, this book provides a very practical approach to advanced calculus—starting from the basics and leading up to the theorems of Green, Gauss, and Stokes.
Applications-oriented introduction to variational theory develops insight and promotes understanding of specialized books and research papers.
As this volume covers recent applications of fractional calculus, it will be of interest to engineers, scientists, and applied mathematicians.