This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one.
Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises from the first edition, and three more project-style sections have been added. Investigations of Euler’s computation of ζ(2), the Weierstrass Approximation Theorem, and the gamma function are now among the book’s cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis.
Reviews (5)
5 reviews for Essential Calculus Skills Practice Workbook with Full Solutions
Goraw
Rated 4 out of 5
August 24, 2023
This book has clear and easily understandable examples which are clearly explained and printed.
Helpful?
0
0
PC.
Rated 5 out of 5
August 19, 2023
A outstanding series to improve your practical skills.
Helpful?
0
0
Joe
Rated 5 out of 5
August 1, 2023
I never thought a free book would be so helpful. I struggled with calculus my whole life and finally, returning to it as a hobby 15 years later, this ...More
I never thought a free book would be so helpful. I struggled with calculus my whole life and finally, returning to it as a hobby 15 years later, this book makes it much more accessible and relatable. Thanks for making the reading material accessible! Highly recommended.
Helpful?
0
0
nkotb
Rated 4 out of 5
July 21, 2023
I order quite a few of this type book. It serves the purpose.
Helpful?
0
0
HYedla
Rated 4 out of 5
June 26, 2023
Remember this is a workbook. It presents formulas, some worked out examples and then leaves u with some unsolved problems. Answers to each and every p...More
Remember this is a workbook. It presents formulas, some worked out examples and then leaves u with some unsolved problems. Answers to each and every problem has been given at the end which is useful. In calculus there are bound to be multiple answers to a problem and they have been addressed too which is to be appreciated. Don’t expect proofs for the formulae. This book is not intended to be didactic. If u r a beginner, go through the formulas, worked out examples and then try to do exercises without out seeing the solutions. Even if u see the solution, don’t see the whole solution, instead see it only line by line working out on ur own as much as possible. If u know the basics, try doing the exercises straight away and enjoy If u r a professional, this book is not for u Thanks Chris
Helpful?
0
0
Only logged in customers who have purchased this product may leave a review.
If u r a beginner, go through the formulas, worked out examples and then try to do exercises without out seeing the solutions. Even if u see the solution, don’t see the whole solution, instead see it only line by line working out on ur own as much as possible.
If u know the basics, try doing the exercises straight away and enjoy
If u r a professional, this book is not for u
Thanks Chris