Calculus for cranks / Nets Hawk Katz.

Format:

Book

Author/Creator:

Katz, Nets Hawk, author.

Language:

English

Subjects (All):

Calculus.

Physical Description:

1 online resource (224 p.)

Place of Publication:

New Haven, Connecticut ; London, England : Yale University Press, [2021]

Language Note:

In English.

Summary:

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, 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.

Contents:

Frontmatter

Contents

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

Index

Notes:

Includes index.

Description based on print version record.

ISBN:

0-300-25612-4

OCLC:

1225555669