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 Jerrold E. Marsden, Alan Weinstein - Springer
The goal of this text is to help students learn to use calculus intelligently for solving a wide variety of mathematical and physical problems. The exercise sets have been carefully constructed to be of maximum use to the students.
by Thomas I. Vogel
The intuition is useful in dealing with simple examples, but can be a hindrance to deeper understanding of the basic concepts of mathematical analysis. The point of this text is to challenge and refine the intuition of better calculus students.
by Marcel B. Finan - Arkansas Tech University
These are lecture notes of a freshmen-level and sophomore-level mathematics class offered at Arkansas Tech University. The text represents a serious effort to produce exposition that is accessible to a student at freshmen or sophomore levels.
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