Calculus reordered : (Record no. 81437)

000 -LEADER
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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$T
Language of cataloging eng
Description conventions rda
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Transcribing agency N$T
Modifying agency N$T
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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.
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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>
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No items available.