In this post you may read/download First Year Calculus for Students of Mathematics and Related DisciplinesA calculus textbook project. For the most part, this book is spelled out for students in more detail than usual.
First Year Calculus for Students of Mathematics and Related Disciplines is meant to be read--curled up with and read! We go into much detail, with more examples than most in the topics which are the most confusing. If currently you are using one of the standard textbooks, you can use First Year Calculus for Students of Mathematics and Related Disciplines as a supplement. If you want to learn calculus on your own, ours can be your main text (though the standard ones have more exercises). We occasionally hear from folks around the world who happened upon this site that they found it useful, and we hope you agree.
A few "differences" might turn off some readers, particularly regarding the first two chapters. We spend a chapter on symbolic logic so we can use it elsewhere, including a rather in-depth (for a calculus book) development of epsilon-delta proofs. If you just want more complete examples for derivative and integral problems, you can go to those sections (preferably from the current "whole book" file linked above). If you want a much deeper, and more useful and "form-based" discussion of limits (to better prepare students for things like convergence tests and improper integrals), check those out.
Chapter 2 is still preliminary but has some good algebraic stuff which is easier to accomplish after raising the sophistication level, made possible by a study of the previous Chapter 1's logic.
While this is a work in progress, some chapters and more sections are basically complete and have been successfully used in courses. We're hoping this is the year we can really push it towards completion.
Read/ Download First Year Calculus for Students of Mathematics and Related DisciplinesYou may like to read/ download First Year Calculus for Students of Mathematics and Related Disciplines
Publication date: 20 Nov 2012
Paperback: 846 pages