Calculus Reordered (Record no. 52731)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03421nam a22001935i 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180907s2019 nju 000 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780691181318 (HB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 517.9 |
| Item number | BRE |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Bressoud, David M |
| 245 10 - TITLE STATEMENT | |
| Title | Calculus Reordered |
| Sub Title | A History of the Big Ideas |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | New Jersey |
| Name of publisher | Princeton University Press |
| Year of publication | 2019 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xvi, 224p |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover; Contents; Preface; Chapter 1. Accumulation; 1.1. Archimedes and the Volume of the Sphere; 1.2. The Area of the Circle and the Archimedean Principle; 1.3. Islamic Contributions; 1.4. The Binomial Theorem; 1.5. Western Europe; 1.6. Cavalieri and the Integral Formula; 1.7. Fermat's Integral and Torricelli's Impossible Solid; 1.8. Velocity and Distance; 1.9. Isaac Beeckman; 1.10. Galileo Galilei and the Problem of Celestial Motion; 1.11. Solving the Problem of Celestial Motion; 1.12. Kepler's Second Law; 1.13. Newton's Principia; Chapter 2. Ratios of Change; 2.1. Interpolation 2.2. Napier and the Natural Logarithm; 2.3. The Emergence of Algebra; 2.4. Cartesian Geometry; 2.5. Pierre de Fermat; 2.6. Wallis's Arithmetic of Infinitesimals; 2.7. Newton and the Fundamental Theorem; 2.8. Leibniz and the Bernoullis; 2.9. Functions and Differential Equations; 2.10. The Vibrating String; 2.11. The Power of Potentials; 2.12. The Mathematics of Electricity and Magnetism; Chapter 3. Sequences of Partial Sums; 3.1. Series in the Seventeenth Century; 3.2. Taylor Series; 3.3. Euler's Influence; 3.4. D'Alembert and the Problem of Convergence; 3.5. Lagrange Remainder Theorem Teaching Series as Sequences of Partial Sums; Teaching Limits as the Algebra of Inequalities; The Last Word; Notes; Bibliography; Index; Image Credits |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus grew to what we know today. David Bressoud explains why calculus is credited to Isaac Newton and Gottfried Leibniz in the seventeenth century, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus presents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus's birth in the Hellenistic Eastern Mediterranean--especially Syracuse in Sicily and Alexandria in Egypt--as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus's evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends instead that the historical order--which follows first integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities--makes more sense in the classroom environment. Exploring the motivations behind calculus's discovery, Calculus Reordered highlights how this essential tool of mathematics came to be |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Calculus |
| -- | Mathematics History |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Shelving location | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | First Floor, Rack No: 33, Shelf No: 19 | 517.9 BRE | 76558 | BOOKS |