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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)

Creator
Contributor
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
Language
eng
Work
Publication
Extent
xiii, 381 p.
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
Instance
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
MiAaPQ
http://library.link/vocab/creatorDate
1951-
http://library.link/vocab/creatorName
Krantz, Steven G.
Illustrations
illustrations
Index
index present
LC call number
QA21
LC item number
.K72 2010
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Mathematical Association of America
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
Dimensions
unknown
Extent
xiii, 381 p.
Form of item
  • online
  • electronic
Other physical details
ill.
Reproduction note
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
Specific material designation
remote
System control number
  • (MiAaPQ)EBC3330437
  • (Au-PeEL)EBL3330437
  • (CaPaEBR)ebr10733080
  • (OCoLC)929120391
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
Dimensions
unknown
Extent
xiii, 381 p.
Form of item
  • online
  • electronic
Other physical details
ill.
Reproduction note
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
Specific material designation
remote
System control number
  • (MiAaPQ)EBC3330437
  • (Au-PeEL)EBL3330437
  • (CaPaEBR)ebr10733080
  • (OCoLC)929120391

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