Book Detail

Elementary Analysis:
The Theory of Calculus
Ross, Kenneth A.

Previous ISBN (13): 9780387904597
Category: Mathematics / Statistics
Affiliation: University of Oregon, Eugene, OR
Dimensions: 9.25 x 0.9 x 6.1 in




Synopsis:
Revised and updated second edition with new material Text for a transition course between calculus and more advanced analysis courses Contains new material on topics such as irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowheredifferentiable functions Includes new examples and improved proofs For over three decades, this bestselling classic has been used by thousands of students in the United States and abroad as a must have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of wellchosen examples and exercises range from routine to challenging. The second edition preserves the book's clear and concise style, illuminating discussions, and simple, wellmotivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowheredifferentiable functions.






