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Principles of Mathematics A Primer.

Detalles Bibliográficos
Autor principal: Lepetic, Vladimir
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2016.
Colección:New York Academy of Sciences Ser.
Temas:
Acceso en línea:Texto completo

MARC

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082 0 4 |a 510.1  |q OCoLC  |2 23/eng/20230216 
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100 1 |a Lepetic, Vladimir. 
245 1 0 |a Principles of Mathematics  |h [electronic resource] :  |b A Primer. 
260 |a Newark :  |b John Wiley & Sons, Incorporated,  |c 2016. 
300 |a 1 online resource (671 p.). 
490 1 |a New York Academy of Sciences Ser. 
500 |a Description based upon print version of record. 
505 0 |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 
505 8 |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 
505 8 |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 
505 8 |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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830 0 |a New York Academy of Sciences Ser. 
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