دانلود کتاب From Calculus to Analysis

Exercises embedded in the text with solutions at the end of each sectionApproaches the real numbers through infinite decimalsClassroom tested with both mathematics and mathematics education majorsThis textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results.The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each sectionContent Level » Upper undergraduateKeywords » Derivatives - Fourier Series - Number Theory - Real Variables - Set TheoryRelated subjects » Algebra - Analysis