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Goodreads helps you keep track of books you want to read. Want to Read saving…. Want to Read Currently Reading Read. Other editions. Enlarge cover. Error rating book. Refresh and try again. Open Preview See a Problem? Details if other :. Thanks for telling us about the problem. Return to Book Page. Preview — Calculus, Volume 1 by Tom M. An introduction to the Calculus, with an excellent balance between theory and technique.
Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative.
Proofs of all the important theorems are given, generally preceded An introduction to the Calculus, with an excellent balance between theory and technique.
Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises.
As in the first edition, an interesting historical introduction precedes each important new concept. Get A Copy. Hardcover , Second Edition , pages. More Details Original Title. Other Editions 7. Friend Reviews. To see what your friends thought of this book, please sign up. To ask other readers questions about Calculus, Volume 1 , please sign up. How does this book compare to Spivak? See 1 question about Calculus, Volume 1…. Lists with This Book. Community Reviews. Showing Average rating 4.
Rating details. More filters. Sort order. Feb 04, Laura Dam rated it really liked it Shelves: science. 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 still have it just in case I need to check for something and because of its sentimental value first textbook I bought for university.
May 29, Bill added it Shelves: mathematics. My two volumes of Apostol originally belonged to my father. Once when I was about twelve I tried to learn the sigma summation notation from the beginning of the first volume and got confused, but all things in due time I suppose.
I've never read either of these books and hold onto them for sentimental reasons. Nevertheless, they appear to be perfectly good introductory calculus textbooks.
Nov 18, Haresh Bhagchandani rated it it was amazing. 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. Oct 09, Ernst rated it it was amazing Shelves: mathematics. 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. Aug 11, Matt rated it it was amazing. Greatest calculus textbook ever written, although the diff. Dec 18, Ben Mathew rated it it was amazing. Apostol vols 1 and 2 are the best way I know of to learn calculus and linear algebra. View 2 comments. Nov 23, Andrew Jones rated it it was amazing. 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. A rigorous precalculus book like College Algebra with Mathematical Structure is recommended for readers who are not ready for Real Analysis. Dec 30, Mica rated it liked it. Dec 09, Ankush Sharma rated it it was amazing Shelves: math , favorite.
Feb 28, Benjamin Kushigian rated it it was amazing. 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. Dec 30, Moses rated it it was amazing. Dec 01, Marc R rated it it was amazing. Start with axioms; end with calculus. Methodical, clever, and beautiful! Oct 25, Vaibhav rated it really liked it. I enjoyed axiomatic approach taken by Apostle, one of the best books on calculus for beginners. Feb 11, Frank Palardy rated it really liked it Shelves: python-algorithms. I used this book to refresh my Calculus. There are some newer books that are probably easier.
Dec 27, Federico Damian rated it it was amazing Shelves: academic. An excelent book for learning calculus. The best one i know. It is extremely comprehensive. Dec 18, Gaurav Tiwari rated it it was amazing. One of the most interactive and amazing books on Calculus. I really loved this book. Nov 19, Michael is currently reading it Shelves: mathematics. So far, sooo good! Jan 09, Daniel Cunningham rated it it was amazing Shelves: dead-trees , phys-math-astro.
It never ceases to amaze me how even math I supposedly know can be difficult. Yay math. Stephen Phillips rated it it was amazing Dec 15, MathMonk rated it it was amazing May 23, Chris rated it it was amazing Jul 15, Raphael Leng li rated it really liked it Jan 28, Tom rated it it was amazing Apr 01, Ana rated it really liked it Jan 01, Georvic rated it it was amazing Jul 29, CrisJohn Castillo rated it it was amazing Nov 12, Osman S.
Calculus, Volume 1: One-Variable Calculus with an Introduction to Linear Algebra