One Variable Advanced Calculus
by Kenneth Kuttler
Publisher: Brigham Young University 2020
Number of pages: 394
Description:
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.
Download or read it online for free here:
Download link
(8.7MB, PDF)
Similar books
Engineering Mathematics 1by Ian Craw, Stuart Dagger, John Pulham
Introduction of elementary mathematical ideas useful in the study of Engineering. The text covers the derivative, maxima and minima, integration, reduction formulas, complex numbers, matrices, Taylor series, and differential equations.
(19622 views)
CK-12 Single Variable Calculusby R. Almukkahal, V. Cifarelli, C. Fan, L. Jarvis - CK-12 Foundation
From the table of contents: Functions, Limits, and Continuity; Derivatives; Applications of Derivatives; Integration; Applications of Definite Integrals; Transcendental Functions; Integration Techniques; Infinite Series.
(16454 views)
Integral Calculusby Leah Edelstein-Keshet - University of British Columbia
Contents: Areas, volumes and simple sums; Fundamental Theorem of Calculus; Applications of the definite integral to velocities and rates, calculating volume, mass, and length; Techniques of Integration; Differential Equations; Infinite series...
(13519 views)
A Brief Introduction to the Infinitesimal Calculusby Irving Fisher - Macmillan
Although intended primarily for economic students, the book is equally adapted to the use of those who wish a short course in 'The Calculus' as a matter of general education. I have had in mind not so much the classroom as the study.
(9210 views)