By Edward James McShane,Truman Arthur Botts

This textual content deals upper-level undergraduates and graduate scholars a survey of useful parts of genuine functionality conception, basic topology, and practical research. starting with a quick dialogue of facts and definition via mathematical induction, it freely makes use of those notions and methods. The maximality precept is brought early yet used sparingly; an appendix presents a extra thorough therapy. The concept of convergence is said in uncomplicated shape and offered at the start in a basic surroundings. The Lebesgue-Stieltjes fundamental is brought by way of the guidelines of Daniell, measure-theoretic concerns taking part in just a secondary half. the ultimate bankruptcy, on functionality areas and harmonic research, is intentionally sped up. worthy workouts look in the course of the textual content. 1959 edition.

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