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)
Resource Information
The item Introduction to mathematical thinking : the formation of concepts in modern mathematics, Friedrich Waismann, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Lane Public Library.This item is available to borrow from 1 library branch.
Resource Information
The item Introduction to mathematical thinking : the formation of concepts in modern mathematics, Friedrich Waismann, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Lane Public Library.
This item is available to borrow from 1 library branch.
- 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
- Language
-
- eng
- ger
- eng
- Extent
- 1 online resource (272 pages)
- Isbn
- 9780486167428
- 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
- 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
- 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)
- 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)
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.lanepl.org/portal/Introduction-to-mathematical-thinking--the/V_ucCbreI8M/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lanepl.org/portal/Introduction-to-mathematical-thinking--the/V_ucCbreI8M/">Introduction to mathematical thinking : the formation of concepts in modern mathematics, Friedrich Waismann, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lanepl.org/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lanepl.org/">Lane Public Library</a></span></span></span></span></div>
