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20240329122006.0 |
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230209s2016 xx o ||| 0 eng d |
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|a EBLCP
|b eng
|c EBLCP
|d OCLCQ
|d EBLCP
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|d OCLCO
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|d OCLCQ
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|a 9781119131656
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|a 1119131650
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|a (OCoLC)1347025024
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|a 510.1
|q OCoLC
|2 23/eng/20230216
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|a UAMI
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|a Lepetic, Vladimir.
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|a Principles of Mathematics
|h [electronic resource] :
|b A Primer.
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260 |
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2016.
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300 |
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|a 1 online resource (671 p.).
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490 |
1 |
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|a New York Academy of Sciences Ser.
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500 |
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|a Description based upon print version of record.
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|a Cover -- Title Page -- Copyright -- Dedication -- Contents -- Preface -- Chapter 1 Set Theory -- 1.1 Introduction -- 1.2 Set Theory -- Definitions, Notation, and Terminology -- What is a Set? -- 1.3 Sets Given by a Defining Property -- 1.4 The Algebra of Sets -- 1.5 The Power Set -- 1.6 The Cartesian Product -- 1.7 The Sets N, Z, and Q -- 1.8 The Set R -- Real Numbers I -- 1.9 A Short Musing on Transfinite Arithmetic -- 1.10 The Set R -- Real Numbers II -- 1.11 Supplementary Problems -- Chapter 2 Logic -- 2.1 Introduction -- 2.2 Propositional Calculus -- 2.3 Arguments I -- 2.4 Arguments II
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|a 2.5 A Short Revisit to Set Theory -- 2.6 Boolean Algebra -- 2.7 Supplementary Problems -- Chapter 3 Proofs -- 3.1 Introduction -- 3.2 Direct Proof -- 3.3 Indirect Proof -- 3.4 Mathematical Induction -- 3.5 Supplementary Problems -- Chapter 4 Functions -- 4.1 Introduction -- 4.2 Relations -- 4.3 Functions -- 4.4 Supplementary Problems -- Chapter 5 Group Theory -- 5.1 Introduction -- 5.2 Fundamental Concepts of Group Theory -- 5.3 Subgroups -- 5.4 Cyclic Groups -- 5.5 Homomorphisms and Isomorphisms -- 5.6 Normal Subgroups -- 5.7 Centralizer, Normalizer, Stabilizer -- 5.8 Quotient Group
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|a 5.9 The Isomorphism Theorems -- 5.10 Direct Product of Groups -- 5.11 Supplementary Problems -- Chapter 6 Linear Algebra -- 6.1 Introduction -- 6.2 Vector Space -- 6.3 Linear Dependence and Independence -- 6.4 Basis and Dimension of a Vector Space -- 6.5 Subspaces -- 6.6 Linear Transformations -- Linear Operators -- 6.7 Isomorphism of Linear Spaces -- 6.8 Linear Transformations and Matrices -- 6.9 Linear Space M mn -- 6.10 Matrix Multiplication -- 6.11 Some More Special Matrices. General Linear Group -- 6.12 Rank of a Matrix -- 6.13 Determinants
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|a 6.14 The Inverse and the Rank of a Matrix Revisited -- 6.15 More on Linear Operators -- 6.16 Systems of Linear Equations I -- 6.17 Systems of Linear Equations II -- 6.18 The Basics of Eigenvalue and Eigenvector Theory -- 6.19 Supplementary Problems -- Index -- EULA
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590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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655 |
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|a Electronic books.
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|i has work:
|a Principles of mathematics (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCG4vP4tqvXQVcyrMjfM44m
|4 https://id.oclc.org/worldcat/ontology/hasWork
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776 |
0 |
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|i Print version:
|a Lepetic, Vladimir
|t Principles of Mathematics
|d Newark : John Wiley & Sons, Incorporated,c2016
|z 9781119131649
|
830 |
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0 |
|a New York Academy of Sciences Ser.
|
856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7104448
|z Texto completo
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938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL7104448
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994 |
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|a 92
|b IZTAP
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