Introduction to Real Analysis ISBN-978-0471433316

Students in all of these fields can learn the basic ideas and methods of real analysis from this text. It fosters the growth of one’s capacity for deductive reasoning, mathematical scenario analysis, and concept extension. With more examples and an emphasis on set theory and logical operations, this edition keeps the same tone and approachable style of the prior three. Additionally, content is being revised in the following areas: Before talking about continuity, point-set topology is introduced, along with a more in-depth examination of limsup and limimf, series that immediately follow sequences, the Lebesgue Integral, and the construction of the reals. Wherever possible, students are also drawn to potential applications.