Integrate Your Brain: How To Do Calculus In Your Head
by Aaron Maxwell
Publisher: Lulu.com 2006
Number of pages: 51
Integrate Your Brain teaches how talented mathematicians utilize their normal, human mental ability to tackle calculus. You are gently trained in the fundamental skills, and shown step by step how to put them into action yourself.
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by William Anthony Granville - Ginn
Variables and functions, theory of limits, differentiation, rules for differentiating standard elementary form, successive differentiation, maxima and minima, differentials, rates, curvature, theorem of mean value, partial differentiation, etc.
by Augustus De Morgan - The Open Court Pub. Co.
The style is fluent and familiar; the treatment continuous and undogmatic. The main difficulties which encompass the early study of the Calculus are discussed in connexion with practical and historical illustrations which leave little to be desired.
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 Kenneth Kuttler - Brigham Young University
The difference between advanced calculus and calculus is that all the theorems are proved completely. Routine skills are supposed to be mastered and have no place in advanced calculus which deals with the issues related to existence and meaning.