http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
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.
Introductory Ideas -- Sequences and Series -- Functions and Continuity -- Differentiation -- Integration -- The Logarithmic and Exponential Functions -- Sequences and Series of Functions -- The Circular Functions -- Miscellaneous Examples -- Solutions to Exercises -- Appendix: The Greek Alphabet -- Bibliography -- Index.
Springer undergraduate mathematics series