Introduction to Real Analysis (Dover Books on Mathematics) by Michael J. Schramm PDF

By Michael J. Schramm

This textual content kinds a bridge among classes in calculus and genuine research. It specializes in the development of mathematical proofs in addition to their ultimate content material. compatible for upper-level undergraduates and graduate scholars of genuine research, it additionally offers a necessary reference ebook for complex classes in mathematics.The four-part remedy starts with an creation to uncomplicated logical buildings and methods of evidence, together with discussions of the cardinality idea and the algebraic and order buildings of the true and rational quantity platforms. half provides in-depth examinations of the completeness of the true quantity method and its topological constitution. half 3 experiences and extends the former explorations of the true quantity procedure, and the ultimate half encompasses a number of subject matters in actual functionality idea. a variety of and sundry workouts diversity from articulating the stairs passed over from examples and watching mechanical effects at paintings to the of completion of partial proofs in the textual content.

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Introduction to Real Analysis (Dover Books on Mathematics) by Michael J. Schramm


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