Classical Analysis: An Approach through Problems (Textbooks in Mathematics)

Summary

• Exposes students to stimulating and enlightening proofs and hard problems of classical analysis mainly published in the Mathematical Association of America Monthly.
  

• Presents proofs as a form of exploration rather than just a manipulation of symbols.

• Draws on the papers from the MAA journals, numerous conceptually clear proofs are offered.

• Provides proofs either as a novel presentation of a familiar theorem or a lively discussion of a single issue, sometimes with multiple derivations.

• Collects and present problems to promote creative techniques for problem solving and undergraduate research and offers instructors an opportunity to assign these problems as projects. This book provides a wealth of opportunities for these projects.
  
• Selects problems for its natural charm - the connection with an authentic mathematical experience, the origination from the ingenious work of professionals, and ready developments into well-shaped results of broader interest.