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Understanding the concepts and methods of real analysis is an essential skill for every undergraduate mathematics student. Written in an easy-to-read style, Real Analysis is a comprehensive introduction to this core subject and is ideal for self-study or as a course textbook for first and second-year undergraduates. Combining an informal style with precision mathematics, Real Analysis covers all the key topics with fully worked examples and exercises with solutions.
Featuring : sequences and series - considering the central notion of a limit ; continuous functions ; differentiation ; integration ; logarithmic and exponential functions ; uniform convergence ; circular functions. All these concepts and techniques are deployed in examples in the final chapter to provide the student with a thorough understanding of this challenging subject.