#RIGOROUS CALCULUS TEXTBOOK FOR FREE#
#RIGOROUS CALCULUS TEXTBOOK HOW TO#
#RIGOROUS CALCULUS TEXTBOOK MANUAL#

#RIGOROUS CALCULUS TEXTBOOK FOR FREE#

( Update: As pointed out in the comments on the main best math books page an old solution set from Arthur Blank is available for free online through. I’ve heard if you look for used copies of earlier editions from the 1960’s and 1970’s it’s possible to find the solutions for Volume 1, but I don’t know how easy that is to find. So, the second half of Volume 2, Book 2 contains the solutions only for Volume 2. However, in the Springer “Classics in Mathematics” edition (which is the only one currently available that I know of) the solutions to Volume 1 are no longer included. Originally, all of the solutions to all of the exercises in this book were provided at the back of Volume 2. If you’re self studying, there’s a small catch.

#RIGOROUS CALCULUS TEXTBOOK HOW TO#

Physics, engineering, or applied math students who want a rigorous calculus textbook with a lot of exercises showing how to apply calculus then this is the best calculus book for you. This is without a doubt the best calculus book for engineers, physicists, or people looking for applications of calculus. Introduction to Calculus and Analysis, Volume 2, Book 2 , Introduction to Calculus and Analysis, Volume 2, Book 1, Introduction to Calculus and Analysis, Volume 1,.(Sorry, shameless plug for the blog!) My solutions are not as good as the ones Apostol would have written, but at least you can leave a comment and I’ll respond (eh, maybe I’ll respond one day?). Although Apostol did not write a solutions manual, if you are self-studying you can always look at my solutions to all the exercises in Apostol. If you read it cover to cover (including the introduction to Volume 1!) you will be way ahead for both your future real analysis and linear algebra class. (I’ve never been able to understand the logic of this.) Despite these drawbacks, it is a fantastic book. So if you only want to buy Volume 1 then you’ll get a bonus 2/5ths of an introduction linear algebra. (Nothing is quite so frustrating as spending an hour trying to figure out your mistake only to find out it was an basic algebra mistake.) The other oddity here is that Chapter 15 and 16 of Volume 1 are identical to Chapters 1 and 2 of Volume 2. Of course, doing a couple hundred of these will help you learn all of the common trig identities and stop making stupid algebra mistakes. Apostol also has a tendency to give difficult and tedious calculation exercises in sections where he cannot come up with any conceptually difficult exercises. Learning to read this style of text is necessary for every math student since virtually all upper level texts will look like this. It is like advanced textbooks in its presentation: definition, theorem, proof. This is the best calculus book for building mathematical maturity. It’s not as fun and inspiring, but is comprehensive, rigorous, and complete. While Spivak is the calculus book I would recommend for high school students and beginning college students, Apostol is the text I would recommend for students with a bit more mathematics experience, or older students coming back to mathematics. Apostol Calculus – Volume 1 and Calculus, Volume 2.Īs readers of the blog know, I’ve read these two volumes cover to cover and have done every exercise.

#RIGOROUS CALCULUS TEXTBOOK MANUAL#

One last upside to this book is that if you’re looking for the best calculus textbook for self study this is a great choice since Spivak authored a solutions manual to accompany this edition and the previous edition. The other downside is that there are no applications of calculus at all. (Spivak did write a follow up, Analysis on Manifolds, but it never felt quite like a true multi-variable calculus book to me, and I didn’t love it overall). The two major drawbacks to Spivak’s text are that it only covers single variable calculus so you’ll have to find another book for multi-variable. It will clear up the misconceptions you learned in a first calculus class, and prepare you for undergraduate real analysis. I think the other calculus books are great (and a better choice for other types of students), but if you’re just starting out in abstract, rigorous proof-based mathematics, this is the way to go. More than the others on this list, this book is fun, inspiring, and gives a sense of how to enjoy doing mathematics. If you are an enthusiastic high school student or an honors track freshman math major, this is the book I would absolutely recommend. This is a great book for single-variable calculus. Of course, some students could jump straight to these with no problem.

Most people will get more benefit from these as a second course in calculus than as a first exposure to the subject. All of the books on this list are great, and if you read anyone of them you’ll really understand calculus.

Rigorous calculus textbook