Ghorpade S.R., Limaye B.V. A Course in Calculus and Real Analysis

Springer, 2006. — 442 Pages.
ISBN13: 978-0387305301
ISBN10: 0387305300This 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