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It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor’s Manual and a student Study Guide. The complete textbook (PDF) is also available as a single file.
Differential Calculus finds Function .2/ from Function .1/. We recover the speedometer information from knowing the trip distance at all times. Integral Calculus goes the other way. The “integral” adds up small pieces, to get the total distance traveled. That integration brings back Function .1/.
next three semesters of calculus we will not go into the details of how this should be done. 1.2. A reason to believe in p 2. The Pythagorean theorem says that the hy-potenuse of a right triangle with sides 1 and 1 must be a line segment of length p 2. In middle or high school you learned something similar to the following geometric construction
This text comprises a three–text series on Calculus. The first part covers material taught in many “Calc 1” courses: limits, derivatives, and the basics of integration, found in Chapters 1 through 6.1.
Three volumes for single and multi-variable calculus. The PDF files are large (65 MB for volume I) but image quality is good and the text is searchable. Each chapter can be downloaded separately. Print editions available from Springer for about $40/volume.
Math 100/101: Calculus I/II John C. Bowman University of Alberta Edmonton, Canada June 10, 2020
Study calculus online free by downloading volume 1 of OpenStax's college Calculus textbook and using our accompanying online resources.
