Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics
(eBook)

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Book Cover Information

Hoopla Extract Information

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    [year] => 2012
    [artist] => Friedrich Waismann
    [fiction] => 
    [coverImageUrl] => https://cover.hoopladigital.com/csp_9780486167428_270.jpeg
    [titleId] => 11606024
    [isbn] => 9780486167428
    [abridged] => 
    [language] => ENGLISH
    [profanity] => 
    [title] => Introduction to Mathematical Thinking
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    [pages] => 272
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                    [name] => Friedrich Waismann
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            [0] => Logic
            [1] => Mathematics
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    [price] => 1.49
    [id] => 11606024
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    [synopsis] => 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. 27 figures. Index.
    [url] => https://www.hoopladigital.com/title/11606024
    [pa] => 
    [series] => Dover Books on Mathematics
    [subtitle] => The Formation of Concepts in Modern Mathematics
    [publisher] => Dover Publications
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