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An Introduction to Metric Spaces (Hardcover)
Loot Price: R3,588
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An Introduction to Metric Spaces (Hardcover)
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This book serves as a textbook for an introductory course in metric
spaces for undergraduate or graduate students. The goal is to
present the basics of metric spaces in a natural and intuitive way
and encourage students to think geometrically while actively
participating in the learning of this subject. In this book, the
authors illustrated the strategy of the proofs of various theorems
that motivate readers to complete them on their own. Bits of
pertinent history are infused in the text, including brief
biographies of some of the central players in the development of
metric spaces. The textbook is divided into seven chapters that
contain the main materials on metric spaces; namely, introductory
concepts, completeness, compactness, connectedness, continuous
functions and metric fixed point theorems with applications. Some
of the noteworthy features of this book include * Diagrammatic
illustrations that encourage readers to think geometrically * Focus
on systematic strategy to generate ideas for the proofs of theorems
* A wealth of remarks, observations along with a variety of
exercises * Historical notes and brief biographies appearing
throughout the text
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