A Course in Calculus and Real Analysis (2nd edition)
Sudhir R. Ghorpade, Balmohan V. Limaye, "A Course in Calculus and Real Analysis (2nd edition)"
2018 | ISBN-10: 3030013995 | 538 pages | PDF | 7 MB
2018 | ISBN-10: 3030013995 | 538 pages | PDF | 7 MB
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.