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A. Text Book Of B. C. A. Mathematics (Volume II)

by G K Ranganath and B Sooryanarayana

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ISBN

:

9788121920803
Publisher

:

S Chand & Company Ltd
Subject

:

Mathematics
Binding

:

Paperback
Year

:

2002

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~~175.0~~

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(For the students of Banglore University) Table of Contents Chapter-1: Mathematical Logic 1.1 Introduction 1.2 Prepositions and Truth Values 1.3 Logical Connectives and Compound Prepositions 1.4 Fundamnetals of froming the compound Prepositions 1.5 Logical Equivalence 1.6 Converse, Inverse and Contrapositive of an Implication 1.7 Tautology and Contradiction 1.8 Tuatological Implication 1.9 Normal Forms 1.10 Disjunctive Normal Forms 1.11 Conjunctive Normal Forms 1.12 Principal Disjunctive Normal Forms 1.13 Principles Conjunctive Normal Forms 1.14 Logical Inferences-Validity using Truth Tables 1.15 Rules of Inference 1.16 Predicates (Open Sentences) 1.17 Quantifiers 1.18 Negation of a Quantified Statement 1.19 Rules of Inference for Quantified Prepositions Chapter-2: Linear Algebra 2.1 Introduction 2.2 Vector Spaces 2.3 Examples of Vector Spaces 2.4 General Properties of vector spaces 2.5 Subspaces 2.6 Linear combination and linear span of a set 2.7 Linear Dependence and Independence 2.8 Basis and Dimension 2.9 Linear Transformation 2.10 Properties of Linear transformation 2.11 Matrix of a linear transformation 2.12 Range and Kernel of a Linear Transformation 2.13 Non-Singular Linear Transformation Chapter-3: Graph Theory 3.1 Introduction 3.2 Graph Concepts 3.3 Subgraphs 3.4 Euler graph 3.5 Trees and Fundamental Circuits 3.6 Matrix Representation 3.7 Planar graphs, Covering and Partitioning 3.8 Directed Graphs 3.9 An Algorithmic Approach Pattern of Question Paper Model Question Paper Examination Paper,2001

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