Calculus: Single Variable, Volume 1

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Springer Science & Business Media, 2006 - Mathematics - 771 pages
Calculus is one of the milestones of human thought. Every well-educated person should be acquainted with the basic ideas of the subject. In today's technological world in which more and more ideas are being quantified, knowledge of calculus has become essential to a broader cross-section of the population. This Debut Edition of Calculus by Brian E. Blank and Steven G. Krantz is published in two volumes, Single Variable and Multivariable. Teaching and writing from the traditional point of view, these authors have distilled the lessons of reform and bring you a calculus book focusing on today's best practices in calculus teaching.
 

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This book is really disappointing.
I happened to open page 621 and could not believe the nonsense written there. The videos explain more:
https://www.youtube.com/watch?v=rSEN3PsiBcI
https://www.youtube.com/watch?v=5hulvl3GgGk
 

Contents

Basics i
1
Differential Equations
6
Limits
75
The Derivative
151
Applications of the Derivative
249
The Integral
347
Techniques of Integration
509
Applications of the Integral
561
Infinite Series
621
Taylor Series
663
Appendix Answers to Selected Exercises 777
711
Index
759
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