Basic Mathematics for Computing
SEM II BCA-124 (B)
Authors:
ISBN:
Rs.80.00
- DESCRIPTION
- INDEX
Mathematics is the backbone of computing, providing the essential
logical and analytical skills required for problem-solving in computer
science. This book, BCA-124B: Basic Mathematics for Computing,
is designed to equip first-year BCA students with a strong foundation in
mathematical concepts that are fundamental to computing applications.
Covering four key units Mathematical Logic, Sets, Determinants,
and Matrices this book systematically introduces students to essential
mathematical principles and their applications in computer science. Each
topic is explained in a clear and structured manner, ensuring that students
grasp theoretical concepts while understanding their practical relevance
in programming, data management, and computational problem-solving.
This book aims to bridge the gap between theoretical mathematics
and its applications in computing. Mathematical Logic enhances reasoning
skills crucial for algorithm design, while Set Theory aids in data structuring
and database operations. Determinants and Matrices provide essential tools
for solving complex problems in computer graphics, artificial intelligence,
and cryptography. Through step-by-step explanations, examples, and
exercises, this book ensures a comprehensive learning experience. We
hope that this resource will help students develop a strong mathematical
foundation, enabling them to apply these concepts effectively in their
academic and professional journeys in computer applications.
We are very much thankful to Shri. Rangrao Patil of Prashant
Publications, who has shown extreme co-operation during the preparation
of this book, for getting the book published in time and providing an
opportunity to be a part of this book.
We shall be glad to receive any suggestions for improving the contents
of this book.
UNIT – 1……………………………………………………………………………………………..7
Mathematical Logic
1.1 Meaning of Statement
1.2 Primitive and Compound Statements
1.3 Truth Values of a Statement
1.4 Logical Operations
1.5 Truth Tables & Construction of Truth Tables
1.6 Equivalence of Logical Statements
1.7 Tautology and Contradiction
UNIT – 2……………………………………………………………………………………………28
Sets
2.1 Meaning of a Set
2.2 Methods of Describing a Set -Tabular Form, Set Builder Form
2.3 Types of a Set : Finite Set, Infinite Set, Empty Set, Subset, Universal Set, Equal Sets, Overlapping Sets, Disjoint Sets, Complementary Set
2.4 Operations on Sets: Union of Sets, Intersection of Sets, Difference of Sets,
Cartesian Product of Two Sets
2.5 Venn Diagrams
UNIT – 3……………………………………………………………………………………………50
Determinants
3.1 Meaning of Determinant, Properties of Determinants.
3.2 Evaluation of Second Order Determinants.
3.3 Minor and Cofactor of an element.
3.4 Cramer’s rule to solve system of linear equations in two and three variables. UNIT – 4……………………………………………………………………………………………71
Matrices
4.1 Meaning and Order of Matrix
4.2 Types of Matrix
4.3 Algebra of Matrices – Equality of Matrices, Multiplication of Matrix by A Scalar.
Addition of Matrices, Subtraction of Matrices, Multiplication of Matrices
Author
Related products
-
अन्न सुरक्षितता आणि पोषकतत्वे
Rs.310.00 -
Practical Botany
Rs.35.00 -
Plant Diversity
Rs.85.00



