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" Mathematics : "
Alexandru Buium, University of New Mexico, Albuquerque, USA.
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BL
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| Record Number
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732717
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| Doc. No
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b552508
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| Main Entry
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Alexandru Buium, University of New Mexico, Albuquerque, USA.
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| Title & Author
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Mathematics : : a minimal introduction\ Alexandru Buium, University of New Mexico, Albuquerque, USA.
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| Publication Statement
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Boca Raton: CRC Press, [2014]
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| ISBN
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1482216019
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: 9781482216011
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| Contents
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pt. 1 Pre-mathematical logic --;ch. 1 Languages --;ch. 2 Metalanguage --;ch. 3 Syntax --;ch. 4 Semantics --;ch. 5 Tautologies --;ch. 6 Witnesses --;ch. 7 Theories --;ch. 8 Proofs --;ch. 9 Argot --;ch. 10 Strategies --;ch. 11 Examples --;pt. 2 Mathematics --;ch. 12 ZFC --;ch. 13 Sets --;ch. 14 Maps --;ch. 15 Relations --;ch. 16 Operations --;ch. 17 Integers --;ch. 18 Induction --;ch. 19 Rationals --;ch. 20 Combinatorics --;ch. 21 Sequences --;ch. 22 Reals --;ch. 23 Topology --;ch. 24 Imaginarles --;ch. 25 Residues --;ch. 26 p-adics --;ch. 27 Groups --;ch. 28 Orders --;ch. 29 Vectors --;ch. 30 Matrices --;ch. 31 Determinants --;ch. 32 Polynomials --;ch. 33 Congruences --;ch. 34 Lines --;ch. 35 Conics --;ch. 36 Cubics --;ch. 37 Limits --;ch. 38 Series --;ch. 39 Trigonometry --;ch. 40 Integrality --;ch. 41 Reciprocity --;ch. 42 Calculus --;ch. 43 Metamodels --;ch. 44 Categories --;ch. 45 Functors --;ch. 46 Objectives --;pt. 3 Mathematical logic --;ch. 47 Models --;ch. 48 Incompleteness.
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| Abstract
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Minimizing the role of intuition, this text provides an introduction to pure mathematics for a one-semester undergraduate-level course. It builds on topics in algebra, geometry, and calculus from scratch in a non-circular way using many examples and exercises. Remarks scattered throughout the text address various philosophical and historical issues, putting the mathematics into context. The author uses easy-to-follow language and avoids overwhelming students with unnecessary material--
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| Subject
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Mathematics -- Textbooks.
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| Subject
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Mathematics.
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| LC Classification
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QA39.3A449 2014
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| Added Entry
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Alexandru Buium
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