Elementary Analysis: The Theory of Calculus Kenneth A. Ross is an English-language textbook that focuses on the transition from calculus to analysis. This book is suitable for mathematics students who want to become acquainted with rigorous proofs without prior experience with them.
The second edition retains the clear and concise style of the first part. The book offers complete proofs, accessible explanations, and a large number of examples and exercises, varying in difficulty. New topics include the irrationality of pi, the Baire category theorem, the Newton and secant methods, and continuity of functions without derivatives.
The content connects with fields such as calculus, real analysis, and mathematical analysis. This textbook makes complex theories accessible to professionals and students who delve into the foundations of calculus.
Series: Undergraduate Texts in Mathematics