Basic Elements of Real Analysis (Undergraduate Texts in Mathematics) 1998th Edition by Murray H. Protter (PDF)

Description

From the author of the highly-acclaimed “A First Course in Real Analysis” comes a volume designed specifically for a short one-semester course in real analysis. Many students of mathematics and the physical and computer sciences need a text that presents the most important material in a brief and elementary fashion. The author meets this need with such elementary topics as the real number system, the theory at the basis of elementary calculus, the topology of metric spaces and infinite series. There are proofs of the basic theorems on limits at a pace that is deliberate and detailed, backed by illustrative examples throughout and no less than 45 figures.

User’s Reviews

Editorial Reviews: Review “This book is intended for a “shortened” course aimed at students who intend to study the physical sciences or computer science. It covers the most important topics in an elementary way. … The book can be recommended to students desiring a good solid background in mathematics for the study of other sciences without unnecessary detours.”EMS Newsletter, June 2001

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I read this book for fun. It touches on numerous advanced topics. The word problems were too difficult for me. Still, if you want to know how a mathematician thinks, read this book.

⭐Very good book.

⭐One nice thing about a Springer book like this is that the author has refrained from populating many pages with multicoloured illustrations. The latter is now common amongst maths books aimed at introductory calculus [or indeed other branches of maths], where authors figure that they need to grab the attention of a diverse set of readers.This book is directed at students already heading into an engineering or physical science major. The few diagrams are in black and white, but are cogent to the discussion. The level of rigour is not quite that of Spivak or Apostol’s books on calculus, or Marsden’s

⭐. Those are meant more for maths majors. The current book’s treatment is more than adequate for understanding and using analysis in your fields. As a practical matter, you’ll rarely need the rigour of the other texts.

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