Calculus for Cranks
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Calculus for Cranks
Book Hero Magic created this recommendation. While it's new and still learning, it may not be perfect - your feedback is welcome! IS THIS YOUR NEXT READ?
A new approach to the foundations of single variable calculus, based on the introductory course taught at Caltech
Calculus for Cranks introduces a new approach to the foundations of single variable calculus, drawing from the introductory course taught at Caltech.
In mathematics, “cranks” are individuals who believe they understand a new mathematical concept, even when conventional wisdom suggests otherwise. This book is written with such cranks in mind and is based on the foundational course taught by Nets Katz at Caltech. It emphasizes the practical purposes of mathematical foundations, such as tracking errors in calculations.
In addition to covering the basics of single variable calculus, Calculus for Cranks outlines the mathematical method—the ability to articulate ideas with absolute precision and employ logical proofs to establish universal truths. Katz places a strong emphasis on conceptual clarity, testing hypotheses, and composing complete proofs.
The outcome is a rigorous calculus book that will be invaluable not only to future mathematicians but also to scientists and engineers.
Book Hero Magic summarised reviews for this book. While it's new and still learning, it may not be perfect - your feedback is welcome! HOW HAS THIS BEEN REVIEWED?
Reviews for Calculus for Cranks highlight its distinctive approach, focusing on repeatable techniques and presenting real numbers as infinite decimals. The book is praised for bridging the gap in depth and rigor often missing in standard calculus courses, providing both entertainment and educational value. It is recommended for students who question standard teachings, with its blend of abstraction and computation likened to a novel. The text is appreciated for its intuitive introduction to real and complex analysis, making it highly recommended for serious learners.
Book Details
INFORMATION
ISBN: 9780300242799
Publisher: Yale University Press
Format: Paperback / softback
Date Published: 23 March 2021
Country: United States
Imprint: Yale University Press
Audience: Tertiary education, Professional and scholarly
DIMENSIONS
Spine width: 11.0mm
Width: 156.0mm
Height: 235.0mm
Weight: 250g
Pages: 264
About the Author
Nets Hawk Katz is International Business Machines Professor of Mathematics at the California Institute of Technology. He was a Guggenheim fellow in 2012 and the winner of the Clay Research Award in 2016.
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