Discover the essential revision book for your first semester BA/BSC Mathematics course with Basic Mathematics-1, authored by the esteemed Dr. G.S. Sandhu and published by First World Publications. Specifically tailored to the syllabus of Panjab University, Chandigarh, this book delivers a thorough grounding in basic mathematical concepts in clear, precise English, making it an indispensable resource for English-medium students.
Basic Mathematics-1 BA/BSC 1st semester by GS Sandhu is highly sought after by students embarking on their academic journeys in the realm of mathematics. This book is meticulously organized to cover all fundamental topics, ensuring that students develop a robust understanding of mathematical principles right from the start of their university education.
Key Features:
Comprehensive Coverage
The textbook begins with an in-depth exploration of Sets, introducing students to various types of sets, subsets, and intervals as subsets of real numbers. Concepts such as Venn diagrams, operations on sets, algebra of sets, and applications of set theory are elaborated on with numerous examples and diagrams to aid comprehension.
Detailed Explanations
The section on Relations and Functions delves into the Cartesian product of sets, relations, and functions, including discussions on real functions and their graphs. The book also covers the sum, difference, product, and quotient of functions, making it an invaluable tool for students to master these foundational topics.
Logical Progression
Dr. Sandhu presents the Principle of Mathematical Induction in a manner that is both rigorous and accessible, ensuring that students grasp this critical concept, which is essential for proving mathematical statements.
Rigorous Treatment of Matrices
The textbook offers an extensive treatment of Matrices, covering types of matrices, equality, addition, subtraction, scalar multiplication, and matrix multiplication. Students will also learn about properties of matrix operations, transpose of a matrix, as well as special matrices and matrix polynomials, providing them with a solid understanding to tackle more complex problems.
Insight into Determinants
The chapter on Determinants is comprehensive, discussing determinants of various orders and their properties. Practical applications, such as computing the area of a triangle and checking the collinearity of points, are included to link theory with real-world problems. The book also explains minors, cofactors, adjoint, and inverse of a matrix in a clear and step-by-step approach.
Statistical Foundations
In the Statistics section, students are introduced to measures of dispersion, including range, mean deviation, variance, and standard deviation. The book also covers analysis of frequency distributions, providing students with the tools to analyze and interpret data effectively.
Solving Inequalities
The chapter on Linear Inequalities guides students through solving inequalities algebraically and graphically. It includes solutions of systems of linear inequalities in one and two variables, bolstering students' problem-solving skills.
Permutations and Combinations
Lastly, the textbook tackles Permutations and Combinations. Starting with the fundamental principle of counting, the text moves through factorial notation, practical problems on permutations and combinations, and permutations with repetitions. This solidifies the student’s ability to handle complex combinatorial problems.
