An Introduction to Metric Spaces,1st Edition-Test Bank

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1. ISBN-10

   0367493489
2. ISBN-13

   978-0367493486This guide serves as a textbook for an introductory course in metric areas for undergraduate or graduate college students. The purpose is to current the fundamentals of metric areas in a pure and intuitive approach and encourage college students to suppose geometrically whereas actively taking part within the studying of this topic. On this guide, the authors illustrated the technique of the proofs of varied theorems that inspire readers to full them on their very own. Bits of pertinent historical past are infused within the textual content, together with transient biographies of among the central gamers within the growth of metric areas. The textbook is split into seven chapters that include the principle supplies on metric areas; particularly, introductory ideas, completeness, compactness, connectedness, steady features and metric mounted level theorems with functions.

   A number of the noteworthy options of this guide embody

   · Diagrammatic illustrations that encourage readers to suppose geometrically

   · Give attention to systematic technique to generate concepts for the proofs of theorems

   · A wealth of remarks, observations together with quite a lot of workouts

   · Historic notes and transient biographies showing all through the textual content