The Resource Abel's proof : an essay on the sources and meaning of mathematical unsolvability, Peter Pesic

Abel's proof : an essay on the sources and meaning of mathematical unsolvability, Peter Pesic

Label
Abel's proof : an essay on the sources and meaning of mathematical unsolvability
Title
Abel's proof
Title remainder
an essay on the sources and meaning of mathematical unsolvability
Statement of responsibility
Peter Pesic
Creator
Subject
Language
eng
Summary
"In 1824 a young Norwegian named Niels Henrik Abel proved conclusively that algebraic equations of the fifth order are not solvable in radicals. In this book Peter Pesic shows what an important event this was in the history of thought. Abel was twenty-one when he self-published his proof and he died five years later, poor and depressed, just before the proof started to receive wide acclaim. Abel's attempts to reach out to the mathematical elite of the day had been spurned, and he was unable to find a position that would allow him to work in peace and mary his fiancee." "But Pesic's story begins long before Abel and continues to the present day, for Abel's proof changed how we think about mathematics and its relation to the "real" world. Starting with the Greeks, who invented the idea of mathematical proof, Pesic shows how mathematics found its sources in the real world (the shapes of things, the accounting needs of merchants) and then reached beyond those sources toward something more universal. The Pythagoreans' attempts to deal with irrational numbers foreshadowed the slow emergence of abstract mathematics. Pesic focuses on the contested development of algebra - which even Newton resisted - and the gradual acceptance of the usefulness and perhaps even beauty of abstractions that seem to invoke realities with dimensions outside human experience. Pesic tells this story as a history of ideas, with mathematical details incorporated in boxes. The book also includes a new annotated translation of Abel's original proof."--Jacket
Cataloging source
DLC
http://library.link/vocab/creatorName
Pesic, Peter
Illustrations
illustrations
Index
index present
LC call number
QA212
LC item number
.P47 2003
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Abel, Niels Henrik
  • Abel, Niels Henrik
  • Abel, Niels Henrik
  • Abel, Niels Henrik
  • Abel, Niels Henrik
  • Abel, Niels Henrik <1802-1829>
  • Abel, Niels Henrik
  • Equations, Roots of
  • Équations, Racines des
  • Equations, Roots of
  • Vergelijkingen (wiskunde)
  • Équations algébriques
  • Algèbre
  • Unlösbarkeit
  • Équations, Racines des
  • Algebraische Gleichung
  • Unlösbarkeit
Label
Abel's proof : an essay on the sources and meaning of mathematical unsolvability, Peter Pesic
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
The scandal of the irrational -- Controversy and coefficients -- Impossibilities and imaginaries -- Spirals and seashores -- Premonitions and permutations -- Abel's proof -- Abel and Galois -- Seeing symmetries -- The order of things -- Solving the unsolvable
Dimensions
21 cm
Extent
viii, 213 pages
Isbn
9780262661829
Lccn
2002031991
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)50440844
  • (OCoLC)ocm50440844
Label
Abel's proof : an essay on the sources and meaning of mathematical unsolvability, Peter Pesic
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
The scandal of the irrational -- Controversy and coefficients -- Impossibilities and imaginaries -- Spirals and seashores -- Premonitions and permutations -- Abel's proof -- Abel and Galois -- Seeing symmetries -- The order of things -- Solving the unsolvable
Dimensions
21 cm
Extent
viii, 213 pages
Isbn
9780262661829
Lccn
2002031991
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)50440844
  • (OCoLC)ocm50440844

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