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.
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by 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...
by Jerrold E. Marsden, A. Weinstein - Benjamin-Cummings Publishing Co.
A supplement to any calculus text, an alternative treatment of calculus using the method of exhaustion for the derivative and integral in place of limits. The book is for calculus students and instructors interested in trying an alternative to limits.
by 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.
by Arthur Henry Barker - Longmans, Green, and Co.
All teachers of engineering and applied sciences generally now recognize the vast superiority of graphical over purely mathematical methods of imparting instruction of almost every description. The former are much more convincing to the student.