A course in calculus and real analysis
- Sudhir R. Ghorpade, Balmohan V. Limaye.
- New York : Springer, 2006.
- Physical description
- x, 432 p. : ill. ; 24 cm.
- Undergraduate texts in mathematics.
- Includes bibliographical references (p. -421) and index.
- Numbers and Functions.- Sequences.- Continuity and Limits.- Differentiation.- Applications of Differentiation.- Integration.- Elementary Transcendental Functions.- Applications and Approximations of Riemann Integrals.- Infinite Series and Improper Integrals.
- (source: Nielsen Book Data)
- Publisher's Summary
- 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.
(source: Nielsen Book Data)
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- Undergraduate texts in mathematics