Textbook of B.Sc. Mathematics For 1st Sem BU

by G.K. Ranganath

For 1st Semester Banglore University (As per New Syllabus) Table of Contents Chapter 1: Mathematical Logic 1.1 Introduction 1.2 Definition 1.3 Open Sentences 1.4 Compund open sentences 1.5 Quantifiers 1.6 Negation of a quantified statement 1.7 Rules of interference and proofs 1.8 Methods of Proof Chapter 2: Relations and Functions 2.1 Introduction 2.2 Relations 2.3 Types of Relations 2.4 Equivalence Relation 2.5 Equivalence classes and partition of a set 2.6 Functions 2.7 Types of Functions 2.8 Inverse Functions 2.9 Results related to inverse Functions 2.10 Set theoretical properties of Functions 2.11 Composition of Functions 2.12 Results on Composition of Functions Chapter 3: Differential Calculus 3.1 Introduction 3.2 Successive Differentiation 3.3 nth derivative of some standard functions 3.4 Leibnitz's Theorem 3.5 Functions of two or more variables 3.6 Partial Differentiation 3.7 Homogeneous Functions 3.8 Total derivative and Total differential 3.9 Jacobians 3.10 Properties of Jacobians Chapter 4: Integral Calculus 4.1 Introduction 4.2 Table of Standard Integrals and Properties of Definite Integrals 4.3 Reduction Formulae 4.4 Differentiation under the Integral sign-Leibnitz's Rule Chapte 5: Analytical G

Genres: Mathematics

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[Sanjana R]

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