Intuitive Infinitesimal Calculus
by Viktor Blasjo
Publisher: Intellectual Mathematics 2015
Number of pages: 98
A concise textbook covering precalculus through vector calculus and differential equations using informal infinitesimal reasoning throughout. Features: Always gives the most illuminating and satisfying proofs possible, while standard books obscure key ideas under mountains of pedantic formalism.
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by Horst R. Beyer
Contents: Limits and Continuous Functions; Differentiation; Riemann Integration; Improper Integrals; Series of Real Numbers; Series of Functions; Analytical Geometry; The Riemann Integral in n-dimensions; Vector Calculus; etc.
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This work presents the leading features in the study and application of the higher mathematics. The development of the subject is based on essentially concrete conceptions, and no appeal is made to what may be termed rational imagination.
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