Springer | Mathematics | June 11 2015 | ISBN-10: 3319136402 | 342 pages | pdf | 4.45 mb
by Steen Pedersen (Author)
From the Back Cover
This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results.
The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section
About the Author
Steen Pedersen, Ph.D. is a Professor of Mathematics at Wright State University in Dayton, Ohio, USA. His research interests include fractals, metric geometry, fourier analysis, spectral theory, and operator algebras.
Content Level Upper undergraduate
Keywords Derivatives - Fourier Series - Number Theory - Real Variables - Set Theory
Related subjects Algebra - Analysis