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katz n calculus cranks 2021

Type:: E-books
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Uploaded On:: Feb. 20, 2021, 1:58 p.m.
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Textbook in PDF format In mathematics, "cranks" are people who insist they understand something new about math even when the world tells them they are doing it wrong. This introduction to calculus is written with those cranks in mind, based on the foundational course that Nets Katz teaches at Caltech. It emphasizes the practical purposes of the foundations, such as tracking errors in calculations. In addition to covering the basics of single variable calculus, the book outlines the mathematical method-the ability to express oneself with absolute precision and then to use logical proofs to establish that certain statements are universally true. Katz emphasizes conceptual clarity, as well as testing hypotheses and writing complete proofs. The result is a rigorous calculus book of use not only to future mathematicians but also to scientists and engineers. Induction and the Real Numbers Sequences and Series 4 Functions and Derivatives Integration Convexity Trigonometry, Complex Numbers, and Power Series Complex Analysis Appendix How to Use This Book Logic, Axioms, and Problem Solving Further Reading

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Katz N. Calculus for Cranks 2021.pdf 5.9 MB

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katz n calculus cranks 2021

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