ebook9781461462712d4325

Description

For over three decades, this best-selling 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 well-chosen examples and exercises range from routine to challenging. The second edition preserves the book‚Äôs clear and concise style, illuminating discussions, and simple, well-motivated proofs.¬† New topics include material on the irrationality of pi, the Baire category theorem, Newton’s method and the secant method, and continuous nowhere-differentiable functions.