Elementary Classical Analysis  (English, Hardcover, Marsden Jerrold E.)

Designed for courses in advanced calculus and introductory real analysis, the second edition of Elementary Classical Analysis strikes a careful and thoughtful balance between pure and applied mathematics, with the emphasis on techniques important to classical analysis, without vector calculus or complex analysis. As such, it's a perfect teaching and learning resource for mathematics undergraduate courses in classical analysis. The book includes detailed coverage of the foundations of the real number system and focuses primarily on analysis in Euclidean space with a view towards application. As well as being suitable for students taking pure mathematics, it can also be used by students taking engineering and physical science courses. There's now even more material on variable calculus, expanding the textbook's already considerable coverage of the subject.