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The Resource An episodic history of mathematics : mathematical culture through problem solving, Steven G. Krantz, (electronic resource)

An episodic history of mathematics : mathematical culture through problem solving, Steven G. Krantz, (electronic resource)

Label
An episodic history of mathematics : mathematical culture through problem solving
Title
An episodic history of mathematics
Title remainder
mathematical culture through problem solving
Statement of responsibility
Steven G. Krantz
Creator
Contributor
Subject
Genre
Language
eng
Summary
"An Episodic History of Mathematics delivers a series of snapshots of mathematics and mathematicians from ancient times to the twentieth century. Giving readers a sense of mathematical culture and history, the book also acquaints readers with the nature and techniques of mathematics via exercises. It introduces the genesis of key mathematical concepts. For example, while Krantz does not get into the intricate mathematical details of Andrew Wiles's proof of Fermat's Last Theorem, he does describe some of the streams of thought that posed the problem and led to its solution. The focus in this text, moreover, is on doing - getting involved with the mathematics and solving problems. Every chapter ends with a detailed problem set that will provide students with avenues for exploration and entry into the subject. It recounts the history of mathematics; offers broad coverage of the various schools of mathematical thought to give readers a wider understanding of mathematics; and includes exercises to help readers engage with the text and gain a deeper understanding of the material."--Publisher's description
Biography type
contains biographical information
Cataloging source
CaPaEBR
http://library.link/vocab/creatorDate
1951-
http://library.link/vocab/creatorName
Krantz, Steven G.
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
  • standards specifications
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Mathematical Association of America
  • ebrary, Inc
Series statement
MAA textbooks
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematics
  • Mathematics
  • Mathematicians
Label
An episodic history of mathematics : mathematical culture through problem solving, Steven G. Krantz, (electronic resource)
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 365-369) and index
Color
multicolored
Contents
The ancient Greeks and the foundations of mathematics -- Zeno's paradox and the concept of limit -- The mystical mathematics of Hypatia -- The Islamic world and the development of algebra -- Cardano, Abel, Galois, and the solving of equations -- René Descartes and the idea of coordinates -- Pierre de Fermat and the invention of differential calculus -- The great Isaac Newton -- The complex numbers and the fundamental theorem of algebra -- Carl Friedrich Gauss: the prince of mathematics -- Sophie Germain and the attack on Fermat's last problem -- Cauchy and the foundations of analysis -- The prime numbers -- Dirichlet and how to count -- Bernhard Riemann and the geometry of surfaces -- Georg Cantor and the orders of infinity -- The number systems -- Henri Poincaré, child phenomenon -- Sonya Kovalevskaya and the mathematics of mechanics -- Emmy Noether and algebra -- Methods of proof -- Alan Turing and cryptography
Control code
ebr10733080
Dimensions
unknown
Extent
xiii, 381 p.
Form of item
  • online
  • electronic
Other physical details
ill
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
(OCoLC)811562988
Label
An episodic history of mathematics : mathematical culture through problem solving, Steven G. Krantz, (electronic resource)
Publication
Bibliography note
Includes bibliographical references (p. 365-369) and index
Color
multicolored
Contents
The ancient Greeks and the foundations of mathematics -- Zeno's paradox and the concept of limit -- The mystical mathematics of Hypatia -- The Islamic world and the development of algebra -- Cardano, Abel, Galois, and the solving of equations -- René Descartes and the idea of coordinates -- Pierre de Fermat and the invention of differential calculus -- The great Isaac Newton -- The complex numbers and the fundamental theorem of algebra -- Carl Friedrich Gauss: the prince of mathematics -- Sophie Germain and the attack on Fermat's last problem -- Cauchy and the foundations of analysis -- The prime numbers -- Dirichlet and how to count -- Bernhard Riemann and the geometry of surfaces -- Georg Cantor and the orders of infinity -- The number systems -- Henri Poincaré, child phenomenon -- Sonya Kovalevskaya and the mathematics of mechanics -- Emmy Noether and algebra -- Methods of proof -- Alan Turing and cryptography
Control code
ebr10733080
Dimensions
unknown
Extent
xiii, 381 p.
Form of item
  • online
  • electronic
Other physical details
ill
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
(OCoLC)811562988

Library Locations

    • Copley LibraryBorrow it
      5998 Alcalá Park, San Diego, CA, 92110-2492, US
      32.771354 -117.193327
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