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Calculus for cranks

"A new approach to the foundations of single variable calculus, based on the introductory course taught at Caltech. 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 calc...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Katz, Nets Hawk (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Haven Yale University Press [2021]
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Calculus for cranks  |c by Nets Hawk Katz 
264 1 |a New Haven  |b Yale University Press  |c [2021] 
264 4 |c ©2021 
300 |a 1 online resource (x, 251 pages)  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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504 |a Includes bibliographical references and index. 
505 0 |a Preface -- 1. Induction and the real numbers -- 2. Sequences and series -- 3. Functions and derivatives -- 4. Integration -- 5. Convexity -- 6. Trigonometry, complex numbers, and power series -- 7. Complex analysis -- A: Appendix. 
520 |a "A new approach to the foundations of single variable calculus, based on the introductory course taught at Caltech. 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--for example, for 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."--  |c Provided by publisher 
545 0 |a Nets Hawk Katz is International Business Machines Professor of Mathematics at the California Institute of Technology. 
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776 0 8 |i Print version:  |a Katz, Nets Hawk.  |t Calculus for cranks.  |d New Haven Yale University Press, [2021]  |z 0300242794  |w (OCoLC)1146563079 
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