Capa

ELEMENTARY ANALYSIS IBD

SPRINGER
04 / 2013
9781461462729
Inglês

Sinopse

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.á Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus.á 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 bookâÇÖs clear and concise style, illuminating discussions, and simple, well-motivated proofs.á New topics include material on the irrationality of pi, the Baire category theorem, NewtonâÇÖs method and the secant method, and continuous nowhere-differentiable functions.