Nearly every Ph.D. student in mathematics needs to take a preliminary or qualifying examination in real analysis. This book provides the necessary tools to pass such an examination.Clarity: Every effort was made to made to present the material in as clear a fashion as possible.Lots of exercises: Over 220 exercises, ranging from routine to challenging, are presented. Many are taken from preliminary examinations given at major universities.Affordability: The book is priced at well under $20.
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