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PDF⋙ Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics) by Kenneth A. Ross

Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics) by Kenneth A. Ross

Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics)

Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics) by Kenneth A. Ross PDF, ePub eBook D0wnl0ad

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’s 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.

 

Review from the first edition:

"This book is intended for the student who has a good, but naïve, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis.... The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and ... has succeeded admirably."

—MATHEMATICAL REVIEWS



From reader reviews:

Diane Smith:

What do you think about book? It is just for students since they're still students or that for all people in the world, the actual best subject for that? Merely you can be answered for that question above. Every person has different personality and hobby per other. Don't to be compelled someone or something that they don't would like do that. You must know how great along with important the book Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics). All type of book is it possible to see on many options. You can look for the internet sources or other social media.


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