One Variable Advanced Calculus
by Kenneth Kuttler
Publisher: Brigham Young University 2018
Number of pages: 327
The difference between advanced calculus and calculus is that all the theorems are proved completely and the role of plane geometry is minimized. Instead, the notion of completeness is of preeminent importance. This is a subject which places calculus as part of mathematics and involves proofs and definitions, not algorithms and busy work.
Home page url
Download or read it online for free here:
by Paul Garrett
A short text covering introductory calculus topics: functions, limits, derivatives, critical points, minimization and maximization, l’Hospital’s rule, higher derivatives, integration, area and definite integrals, numerical integration, etc.
by Brian S. Thomson - ClassicalRealAnalysis.com
Elementary introduction to integration theory on the real line. This is at the level of an honor's course in calculus or a first undergraduate level real analysis course. It prepares the student for a graduate level course in Lebesgue integration.
by Roy McWeeny - Learning Development Institute
This book deals with the mathematics we need in describing the relationships among the quantities we measure in Physics. This leads us into the study of relationships and change, the starting point for Mathematical Analysis and the Calculus.
by H.W. March, H.C. Wolff - McGraw-Hill
Calculus for technical students. Integration with the determination of the constant of integration, and the definite integral as the limit of a sum, are given following the differentiation of algebraic functions and before transcendental functions.