A Course in Calculus and Real Analysis

Download or read book A Course in Calculus and Real Analysis written by Sudhir R. Ghorpade and published by Springer Science & Business Media. This book was released on 2006-06-05 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus. Throughout, the authors highlight the fact that calculus provides a firm foundation to concepts and results that are generally encountered in high school and accepted on faith; for example, the classical result that the ratio of circumference to diameter is the same for all circles. A number of topics are treated here in considerable detail that may be inadequately covered in calculus courses and glossed over in real analysis courses.