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The Resource Introduction to mathematical thinking : the formation of concepts in modern mathematics, Friedrich Waismann, (electronic resource)

Introduction to mathematical thinking : the formation of concepts in modern mathematics, Friedrich Waismann, (electronic resource)

Label
Introduction to mathematical thinking : the formation of concepts in modern mathematics
Title
Introduction to mathematical thinking
Title remainder
the formation of concepts in modern mathematics
Statement of responsibility
Friedrich Waismann
Creator
Subject
Genre
Language
  • eng
  • ger
  • eng
Summary
This enlightening survey of mathematical concept formation holds a natural appeal to philosophically minded readers, and no formal training in mathematics is necessary to appreciate its clear exposition of mathematic fundamentals. Rather than a system of theorems with completely developed proofs or examples of applications, readers will encounter a coherent presentation of mathematical ideas that begins with the natural numbers and basic laws of arithmetic and progresses to the problems of the real-number continuum and concepts of the calculus. Contents include examinations of the various types of numbers and a criticism of the extension of numbers; arithmetic, geometry, and the rigorous construction of the theory of integers; the rational numbers, the foundation of the arithmetic of natural numbers, and the rigorous construction of elementary arithmetic. Advanced topics encompass the principle of complete induction; the limit and point of accumulation; operating with sequences and differential quotient; remarkable curves; real numbers and ultrareal numbers; and complex and hypercomplex numbers. In issues of mathematical philosophy, the author explores basic theoretical differences that have been a source of debate among the most prominent scholars and on which contemporary mathematicians remain divided. "With exceptional clarity, but with no evasion of essential ideas, the author outlines the fundamental structure of mathematics." {u2014} Carl B. Boyer, Brooklyn College. 27 figures. Index
Member of
Cataloging source
CtWfDGI
http://library.link/vocab/creatorName
Waismann, Friedrich
Dewey number
  • 510.1
  • 510.1
Index
no index present
LC call number
QA9
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/subjectName
  • Number concept
  • Mathematics
Target audience
adult
Label
Introduction to mathematical thinking : the formation of concepts in modern mathematics, Friedrich Waismann, (electronic resource)
Link
http://lanepl.freading.com/ebooks/details/r:download/MDAwMDE4LTkyNzI2NzU=
Instantiates
Publication
Antecedent source
unknown
Control code
frd00008754
Dimensions
unknown
Extent
1 online resource (272 pages)
File format
one file format
Form of item
online
Governing access note
Access limited to subscribing institutions
Isbn
9780486167428
Level of compression
unknown
Quality assurance targets
not applicable
Reformatting quality
unknown
Specific material designation
remote
System control number
  • (Sirsi) i9780486167428
  • (Sirsi) b1441302
System details
System requirements: Adobe Digital editions
Label
Introduction to mathematical thinking : the formation of concepts in modern mathematics, Friedrich Waismann, (electronic resource)
Link
http://lanepl.freading.com/ebooks/details/r:download/MDAwMDE4LTkyNzI2NzU=
Publication
Antecedent source
unknown
Control code
frd00008754
Dimensions
unknown
Extent
1 online resource (272 pages)
File format
one file format
Form of item
online
Governing access note
Access limited to subscribing institutions
Isbn
9780486167428
Level of compression
unknown
Quality assurance targets
not applicable
Reformatting quality
unknown
Specific material designation
remote
System control number
  • (Sirsi) i9780486167428
  • (Sirsi) b1441302
System details
System requirements: Adobe Digital editions

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