Calculus, Volume 1: One-Variable Calculus with an Introduction to Linear Algebra

by Tom M. Apostol

"there are several systems of measurement"with what speed should a rocket be fired upward"

Genres: Mathematics, Calculus, Science, Textbooks, Reference, Nonfiction, Academic

666 pages, Hardcover

First published January 1, 1961

Reviews

[Haresh Bhagchandani]

I would only recommend this book to someone who wants to seriously learn math. The book's approach is perfect for math majors. It builds mathematical maturity. The exercises are hard and by the time you are done with this book you will be able to understand math books. It will take you to the next level if you study it carefully.

[Laura L. Van Dam]

Good introductory book for university calculus. It was a bit hard to follow at first but then it was a great reference source and for exercises.
I bought it second-hand in 1993 and it was brand new (seems the previous owner didnt use it much) but after 20 years with me it is almost destroyed, that´s how much I used and re used this text.
I still have it just in case I need to check for something and because of its sentimental value (first textbook I bought for university)

[John Isles]

I was surprised to find that this book, which I bought when I was at university more than 50 years ago, is listed among "All The Math Books You'll Ever Need" at https://mathblog.com/mathematics-books/, so I finally got round to reading it through. It's easy going at first and seems long-winded, with fussy proofs of many results that are intuitively obvious, but towards the end the going gets harder and some of the results are counterintuitive. For example (p. 465), the function f(x)=x^(-3/4) has an integral between 0 and 1 that converges, but the integral of pi.f^2(x) diverges. Geometrically, this means that the ordinate set of f has a finite area, but the solid obtained by rotating this ordinate set about the x-axis has an infinite volume! On p. 453 the mathematician Sergei Bernstein is described as Russian, but nowadays we would surely call him Ukrainian. I feel virtuous for having finished the book at last.

[Ernst]

This timeless work is easily my favourite mathematics book of all time. The proofs while certainly rigorous, are lucidly developed without being overly terse, which is especially useful to undergraduate students. I highly recommend this book to anyone considering a serious study of mathematics or a related field.

[Marc R]

Start with axioms; end with calculus. Methodical, clever, and beautiful!

[Ahmed Abrar]

One of the best two books I have read on calculus, the other being of Gilbert Strang.

[Mariano Roman]

Es la poya

[Matt]

Greatest calculus textbook ever written, although the diff.eq. section could use a little work.

[Vaibhav]

I enjoyed axiomatic approach taken by Apostle, one of the best books on calculus for beginners.

[Ben Mathew]

Apostol vols 1 and 2 are the best way I know of to learn calculus and linear algebra.

[Andrew Jones]

Apostol's Calculus is the definitive book on the subject for the reader who wants to rigorously understand the subject. I do recommend reading a standard (any other than M. Spivak) calculus book first and perhaps a Real Analysis book in one dimension (like Bartel & Sherbet).
A rigorous precalculus book (like College Algebra with Mathematical Structure) is recommended for readers who are not ready for Real Analysis.

[Display Name]

Uno de mis libros favoritos de cálculo si quieres aprender la teoría. Personalmente no me basta con aplicar solo fórmulas y llegar a un resultado, este libro me encanta para entender que estoy haciendo, como si me contara una historia. A cualquier estudiante de primer año, o que está cursando Calculo 1 le recomendaría sin duda alguna a Tom Apostol.

[Ulyses Said]

No

[Benjamin Kushigian]

This book offers a beautiful foundation - starting in the introduction with some basic axioms of real numbers (not quite starting from Peano's axioms). It is not necessary to get this in depth but for the math major or anyone who wants to study the subject rigorously it is both satisfying and incredible beneficial to see how a system can be built up. I love this book.

[Michael]

So far, sooo good!

[Moses]

must-read.

[Gaurav Tiwari]

One of the most interactive and amazing books on Calculus. I really loved this book.

[Federico Damian]

An excelent book for learning calculus. The best one i know.
It is extremely comprehensive.

[Daniel Cunningham]

It never ceases to amaze me how even math I supposedly know can be difficult.

Yay math.

[Frank Palardy]

I used this book to refresh my Calculus. There are some newer books that are probably easier.

[Javier Castro]

Si piensas que no entiendes bien las matemáticas es debido a que no has leído este libro.

[Kohl Gill]

Simply the clearest text I've ever had on the subject.

[Paolo]

well written - systematic - a base to study algebra