This text provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations, and extend ideas to a new context. Like the first three editions, this edition maintains the same spirit and user-friendly approach with additional examples and expansion on Logical Operations and Set Theory. There is also content revision in the following areas: Introducing point-set topology before discussing continuity, ...
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This text provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations, and extend ideas to a new context. Like the first three editions, this edition maintains the same spirit and user-friendly approach with additional examples and expansion on Logical Operations and Set Theory. There is also content revision in the following areas: Introducing point-set topology before discussing continuity, including a more thorough discussion of limsup and limimf, covering series directly following sequences, adding coverage of Lebesgue Integral and the construction of the reals, and drawing student attention to possible applications wherever possible.
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Introduction to Real Analysis by Bartle and Sherbert is very appropriate for an Introductory Course in Real Analysis because it is standard, formal, and presents clear demonstrations. This third edition is more comprehensible than previous editions because it develops its topics with more details, presents more examples and even some applications. Many students will find this book accesible because It is not required to know concepts about Topology, and the students only have to know integral and differential Calculus. It is highly reccomended for Real Analysis professors.