Calculus reordered : (Record no. 81437)
[ view plain ]
000 -LEADER | |
---|---|
fixed length control field | 05945cam a2200805 i 4500 |
001 - CONTROL NUMBER | |
control field | on1091029414 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OCoLC |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20220908100155.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
fixed length control field | m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr cnu---unuuu |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 190401s2019 njua ob 001 0 eng d |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | N$T |
Language of cataloging | eng |
Description conventions | rda |
-- | pn |
Transcribing agency | N$T |
Modifying agency | N$T |
-- | EBLCP |
-- | OCLCF |
-- | DEGRU |
-- | JSTOR |
-- | YDX |
-- | UKAHL |
-- | YJJ |
-- | WAU |
-- | OCLCQ |
-- | MM9 |
-- | IEEEE |
-- | OCLCO |
-- | OCLCQ |
-- | OCLCO |
-- | FAU |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780691189161 |
Qualifying information | (electronic bk.) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 0691189161 |
Qualifying information | (electronic bk.) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
Canceled/invalid ISBN | 0691181314 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
Canceled/invalid ISBN | 9780691181318 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | AU@ |
System control number | 000065484659 |
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
OCLC library identifier | AU@ |
System control number | 000068214775 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (OCoLC)1091029414 |
037 ## - SOURCE OF ACQUISITION | |
Stock number | 22573/ctvc5q6hj |
Source of stock number/acquisition | JSTOR |
037 ## - SOURCE OF ACQUISITION | |
Stock number | 9453319 |
Source of stock number/acquisition | IEEE |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA21 |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT |
Subject category code subdivision | 039000 |
Source | bisacsh |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT |
Subject category code subdivision | 023000 |
Source | bisacsh |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT |
Subject category code subdivision | 026000 |
Source | bisacsh |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT |
Subject category code subdivision | 005000 |
Source | bisacsh |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT |
Subject category code subdivision | 015000 |
Source | bisacsh |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | SCI |
Subject category code subdivision | 034000 |
Source | bisacsh |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT |
Subject category code subdivision | 030000 |
Source | bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 510.9 |
Edition number | 23 |
049 ## - LOCAL HOLDINGS (OCLC) | |
Holding library | MAIN |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Bressoud, David M., |
Dates associated with a name | 1950- |
Relator term | author. |
9 (RLIN) | 65306 |
245 10 - TITLE STATEMENT | |
Title | Calculus reordered : |
Remainder of title | a history of the big ideas / |
Statement of responsibility, etc. | David M. Bressoud. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Place of production, publication, distribution, manufacture | Princeton, New Jersey : |
Name of producer, publisher, distributor, manufacturer | Princeton University Press, |
Date of production, publication, distribution, manufacture, or copyright notice | [2019] |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 1 online resource (xvi, 224 pages) : |
Other physical details | illustrations |
336 ## - CONTENT TYPE | |
Content type term | text |
Content type code | txt |
Source | rdacontent |
337 ## - MEDIA TYPE | |
Media type term | computer |
Media type code | c |
Source | rdamedia |
338 ## - CARRIER TYPE | |
Carrier type term | online resource |
Carrier type code | cr |
Source | rdacarrier |
520 8# - 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. |
504 ## - BIBLIOGRAPHY, ETC. NOTE | |
Bibliography, etc. note | Includes bibliographical references and index. |
588 0# - SOURCE OF DESCRIPTION NOTE | |
Source of description note | Online resource; title from PDF title page (EBSCO, April 2, 2019). |
588 0# - SOURCE OF DESCRIPTION NOTE | |
Source of description note | Print version record. |
505 0# - 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 |
505 8# - FORMATTED CONTENTS NOTE | |
Formatted contents note | 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 |
505 8# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Teaching Series as Sequences of Partial Sums; Teaching Limits as the Algebra of Inequalities; The Last Word; Notes; Bibliography; Index; Image Credits |
590 ## - LOCAL NOTE (RLIN) | |
Local note | IEEE |
Provenance (VM) [OBSOLETE] | IEEE Xplore Princeton University Press eBooks Library |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Calculus. |
9 (RLIN) | 65307 |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Mathematics |
General subdivision | History. |
9 (RLIN) | 63890 |
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Calcul infinit�esimal. |
9 (RLIN) | 65308 |
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Math�ematiques |
General subdivision | Histoire. |
9 (RLIN) | 63893 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | calculus. |
Source of heading or term | aat |
9 (RLIN) | 65309 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | MATHEMATICS |
General subdivision | Essays. |
Source of heading or term | bisacsh |
9 (RLIN) | 64120 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | MATHEMATICS |
General subdivision | Pre-Calculus. |
Source of heading or term | bisacsh |
9 (RLIN) | 64121 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | MATHEMATICS |
General subdivision | Reference. |
Source of heading or term | bisacsh |
9 (RLIN) | 64122 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | MATHEMATICS |
General subdivision | Calculus. |
Source of heading or term | bisacsh |
9 (RLIN) | 16300 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Calculus. |
Source of heading or term | fast |
Authority record control number or standard number | (OCoLC)fst00844119 |
9 (RLIN) | 65307 |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Mathematics. |
Source of heading or term | fast |
Authority record control number or standard number | (OCoLC)fst01012163 |
9 (RLIN) | 11584 |
655 #0 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | Electronic books. |
9 (RLIN) | 3294 |
655 #4 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | Electronic books. |
9 (RLIN) | 3294 |
655 #7 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | History. |
Source of term | fast |
Authority record control number or standard number | (OCoLC)fst01411628 |
9 (RLIN) | 5289 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Relationship information | Print version: |
Main entry heading | BRESSOUD, DAVID M. |
Title | CALCULUS REORDERED. |
Place, publisher, and date of publication | [Place of publication not identified], PRINCETON University PRES, 2019 |
International Standard Book Number | 0691181314 |
Record control number | (OCoLC)1059262130 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9453319">https://ieeexplore.ieee.org/servlet/opac?bknumber=9453319</a> |
938 ## - | |
-- | Askews and Holts Library Services |
-- | ASKH |
-- | AH36158663 |
938 ## - | |
-- | De Gruyter |
-- | DEGR |
-- | 9780691189161 |
938 ## - | |
-- | ProQuest Ebook Central |
-- | EBLB |
-- | EBL5742551 |
938 ## - | |
-- | EBSCOhost |
-- | EBSC |
-- | 2003292 |
938 ## - | |
-- | YBP Library Services |
-- | YANK |
-- | 16136628 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | eBooks |
994 ## - | |
-- | 92 |
-- | INTKS |
No items available.