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Excursions in the History of Mathematics (Record no. 22705)

000 -LEADER
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003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151442.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 111128s2012 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780817682682
978-0-8176-8268-2
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA21-27
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510.9
Edition number 23
264 #1 -
-- Boston :
-- Birkhäuser Boston,
-- 2012.
912 ## -
-- ZDB-2-SMA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kleiner, Israel.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Excursions in the History of Mathematics
Medium [electronic resource] /
Statement of responsibility, etc by Israel Kleiner.
300 ## - PHYSICAL DESCRIPTION
Extent XXI, 347p. 36 illus.
Other physical details online resource.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note A. Number Theory -- 1. Highlights in the History of Number Theory: 1700 BC - 2008 -- 2. Fermat: The Founder of Modern Number Theory -- 3. Fermat's Last Theorem: From Fermat to Wiles -- B. Calculus/Analysis -- 4. A History of the Infinitely Small and the Infinitely Large in Calculus, with Remarks for the Teacher -- 5. A Brief History of the Function Concept -- 6. More on the History of Functions, Including Remarks on Teaching -- C. Proof -- 7. Highlights in the Practice of Proof: 1600 BC - 2009 -- 8. Paradoxes: What are they Good for? -- 9. Principle of Continuity: 16th - 19th centuries -- 10. Proof: A Many-Splendored Thing -- D. Courses Inspired by History -- 11. Numbers as a Source of Mathematical Ideas -- 12. History of Complex Numbers, with a Moral for Teachers -- 13. A History-of-Mathematics Course for Teachers, Based on Great Quotations -- 14. Famous Problems in Mathematics -- E. Brief Biographies of Selected Mathematicians -- 15. The Biographies -- Index.
520 ## - SUMMARY, ETC.
Summary, etc This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively.  Part four deals with several historically oriented courses, and Part five provides biographies of five mathematicians who played major roles in the historical events described in the first four parts of the work.  Each of the first three parts—on number theory, calculus/analysis, and proof—begins with a survey of the respective subject and is followed in more depth by specialized themes. Among the specialized themes are:  Fermat as the founder of modern number theory, Fermat’s Last Theorem from Fermat to Wiles, the history of the function concept, paradoxes, the principle of continuity, and an historical perspective on recent debates about proof.  The fourth part contains essays describing mathematics courses inspired by history. The essays deal with numbers as a source of ideas in teaching, with famous problems, and with the stories behind various "great" quotations. The last part gives an account of five mathematicians—Dedekind, Euler, Gauss, Hilbert, and Weierstrass—whose lives and work we hope readers will find inspiring. Key features of the work include: * A preface describing in some detail the author's ideas on teaching mathematics courses, in particular, the role of history in such courses; * Explicit comments and suggestions for teachers on how history can affect the teaching of mathematics; * A description of a course in the history of mathematics taught in an In-Service Master's Program for high school teachers; * Inclusion of issues in the philosophy of mathematics; * An extensive list of relevant references at the end of each chapter. Excursions in the History of Mathematics was written with several goals in mind: to arouse mathematics teachers’ interest in the history of their subject; to encourage mathematics teachers with at least some knowledge of the history of mathematics to offer courses with a strong historical component; and to provide an historical perspective on a number of basic topics taught in mathematics courses.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Global analysis (Mathematics).
Topical term or geographic name as entry element Logic, Symbolic and mathematical.
Topical term or geographic name as entry element Number theory.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element History of Mathematical Sciences.
Topical term or geographic name as entry element Mathematics Education.
Topical term or geographic name as entry element Number Theory.
Topical term or geographic name as entry element Analysis.
Topical term or geographic name as entry element Mathematical Logic and Foundations.
Topical term or geographic name as entry element Mathematics, general.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9780817682675
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-0-8176-8268-2
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-09AUM Main Library2014-04-09 2014-04-09 E-Book   AUM Main Library510.9
Languages: 
English |
العربية