8. Dr. Vogel’s Gallery of Calculus Pathologies
Author: Thomas I. Vogel
The intuition is useful in dealing with simple examples, but can be a hindrance to deeper understanding of the basic concepts of mathematical analysis. The point of this text is to challenge and refine the intuition of better calculus students.
9. First Year Calculus
Author: W W L Chen
Publisher: Macquarie University
These lecture notes cover the number system, functions, derivatives, special functions, limits, continuity, differentiation, definite integral, techniques of integration, improper integrals, ordinary differential equations, sequences, series, etc.
10. Foundations of Infinitesimal Calculus
Author: K.D. Stroyan
Publisher: Academic Press, Inc.
This is a fresh look at the foundations of calculus. The book will be useful reference for students who like the ‘theorem – proof’ approach to calculus, these proofs are completely rigorous in the sense of modern mathematics.
11. Advanced Calculus
Author: Lynn H. Looms, Shlomo Sternberg
Publisher: Harvard University
A textbook for majors in mathematics and physical sciences, it concentrates on concepts and proofs. It is intended for students who have completed a standard introductory calculus sequence and who wish to know where all those formulas come from.
12. Difference Equations to Differential Equations – An introduction to calculus
Author: Dan Sloughter
The book is on sequences, limits, difference equations, functions and their properties, affine approximations, integration, polynomial approximations and Taylor series, transcendental functions, complex plane and differential equations.
13. Elementary Calculus: An Approach Using Infinitesimals
Author: H. Jerome Keisler
Publisher: Bodgen & Quigley
This is a calculus textbook at the college Freshman level based on infinitesimals. This approach puts the ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners than the more common approach via limits.
Author: David Guichard, Neal Koblitz
This textbook covers analytic geometry, derivative, transcendental functions, curve sketching, integration, sequences and series, three dimensions, vector functions, partial differentiation, multiple integration, and vector Calculus.
The author is a Senior Correspondent at EFY.