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Название: Basic Elements of Real Analysis (Undergraduate Texts in Mathematics)
Автор: Protter M.
Аннотация:
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 Elementary Classical Analysis. 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.