
CALCULUS For the Practical Man by J. E. THOMPSON. Originally published in 1931. PREFACE: THIS book on simplified calculus is one of a series designed by the author and publisher for the reader with an interest in the meaning and simpler technique of mathematical science, and for those who wish to obtain a practical mastery of some of the more usual and directly useful branches of the science without the aid of a teacher. Like the other books in the series it is the outgrowth of the author's experience with students such as those mentioned and the demand experienced by the publisher for books which may be read as well as studied. One of the outstanding features of the book is the use of the method of rates instead of the method of limits. To the conven tional teacher of mathematics, whose students work for a college degree and look toward the modern theory of functions, the author hastens to say that for their purposes the limit method is the only method which can profitably be used. To the readers contem plated in the preparation of this book, however, the notion of a limit and any method of calculation based upon it always seem artificial and not hi any way connected with the familiar ideas of numbers, algebraic symbolism or natural phenomena.
- Mathematics and Its History (John Stillwell)
- Journey through Genius: The Great Theorems of Mathematics (William Dunham)
- Proofs Without Words: Exercises in Visual Thinking (Roger B. Nelsen)
- The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities (William Dunham)
- Odds & Ends: Introducing Probability & Decision with a Visual Emphasis (Jonathan Weisberg)
- Introduction to Probability (Joseph K. Blitzstein, Jessica Hwang)
- The Secret Life of Equations: The 50 Greatest Equations and How They Work (Richard Cochrane)
- Euler's Gem: The Polyhedron Formula and the Birth of Topology (David S. Richeson)
- 3Blue1Brown Essence of Linear Algebra: https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab
- 3Blue1Brown Differential Equations: https://www.youtube.com/playlist?list=PLZHQObOWTQDNPOjrT6KVlfJuKtYTftqH6
- Dynamics: The Geometry of Behavior (Ralph Abraham, Christopher Shaw)
- Geometry, Relativity and the Fourth Dimension (Rudolf Rucker)
- 3Blue1Brown Essence of Calculus: https://www.youtube.com/playlist?list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr
- Calculus for the Practical Man (J.E. Thompson)
- Div, Grad, Curl, and All That: An Informal Text on Vector Calculus (Harry M. Schey)
- Who Is Fourier? a Mathematical Adventure
- Physics, Topology, Logic and Computation: A Rosetta Stone (John C. Baez, Mike Stay)
- An Illustrated Guide to Relativity (Tatsu Takeuchi)
- The Mathematics Of Quantum Mechanics (Martin Laforest)
- A Student's Guide to Maxwell's Equations (Daniel Fleisch) or if you're also interested in a visual guide, I wrote one as well: https://github.com/photonlines/Intuitive-Guide-to-Maxwells-Equations
- Introduction to Elementary Particles (David J. Griffiths)
- An Invitation to Applied Category Theory: Seven Sketches in Compositionality (Brendan Fong, David I Spivak)
- Solving Mathematical Problems: A Personal Perspective (Terence Tao)https://news.ycombinator.com/item?id=14192894
that indicates the text Feynman first used was Calculus for the Practical Man by J. E. Thompson. Both are quality texts and as the linked HN thread notes, can be found on archive.org.
Incidentally, my college calculus class also used Stewart.
Quick page shot to show the scope and density: http://i.imgur.com/sV1WYFd.jpg
I have a number of other books as well that I use as a reference as well so no problems there (calculus for the practical man has some different insights). Oh and betterexplained.com.
I seem to collect mathematics books. However this is still my favourite book on mathematics and only because it was written by a surgeon rather than a mathematician: http://www.goodreads.com/book/show/383087.Mathematics
Warning: Took me a couple of years to get through.
Oh and 1946 copy of Calculus for the Practical Man by J E Thompson.