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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New Haven
Yale University Press
[2021]
|
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| 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--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."-- |
| Physical Description: | 1 online resource (x, 251 pages) illustrations |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9780300256123 0300256124 |
Staff View
MARC
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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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| 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. |
| ctrlnum | (OCoLC)1225555669 |
| dewey-full | 515 |
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| discipline | Mathematik |
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| id | ZDB-4-EBA-on1225555669 |
| illustrated | Illustrated |
| indexdate | 2025-04-11T08:47:32Z |
| institution | BVB |
| isbn | 9780300256123 0300256124 |
| language | English |
| oclc_num | 1225555669 |
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| physical | 1 online resource (x, 251 pages) illustrations |
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| publishDate | 2021 |
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| publisher | Yale University Press |
| record_format | marc |
| spelling | Katz, Nets Hawk author Calculus for cranks by Nets Hawk Katz New Haven Yale University Press [2021] ©2021 1 online resource (x, 251 pages) illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. 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. "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."-- Provided by publisher Nets Hawk Katz is International Business Machines Professor of Mathematics at the California Institute of Technology. Print version record Calculus. http://id.loc.gov/authorities/subjects/sh85018802 Calcul infinitésimal. calculus. aat MATHEMATICS Calculus. bisacsh Calculus fast Print version: Katz, Nets Hawk. Calculus for cranks. New Haven Yale University Press, [2021] 0300242794 (OCoLC)1146563079 |
| spellingShingle | Katz, Nets Hawk Calculus for cranks 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. Calculus. http://id.loc.gov/authorities/subjects/sh85018802 Calcul infinitésimal. calculus. aat MATHEMATICS Calculus. bisacsh Calculus fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85018802 |
| title | Calculus for cranks |
| title_auth | Calculus for cranks |
| title_exact_search | Calculus for cranks |
| title_full | Calculus for cranks by Nets Hawk Katz |
| title_fullStr | Calculus for cranks by Nets Hawk Katz |
| title_full_unstemmed | Calculus for cranks by Nets Hawk Katz |
| title_short | Calculus for cranks |
| title_sort | calculus for cranks |
| topic | Calculus. http://id.loc.gov/authorities/subjects/sh85018802 Calcul infinitésimal. calculus. aat MATHEMATICS Calculus. bisacsh Calculus fast |
| topic_facet | Calculus. Calcul infinitésimal. calculus. MATHEMATICS Calculus. Calculus |
| work_keys_str_mv | AT katznetshawk calculusforcranks |