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This textbook has been designed to meet the needs of B.Sc. First Semester students of Mathematics as per Common Minimum Syllabus prescribed for Patna University and other Universities and Colleges under the recommended National Education Policy 2020 in Bihar. The book comprehensively covers important topics such as Polar Representation of Complex Numbers, De Moivre’s Theorem and Applications, Logarithmic and Hyperbolic Functions, Summation of Series, Cartesian Product of Sets, Equivalence Relations, Partial and Total Order Relation Functions, Composition and Invertible Functions, Cardinality of a Set, Division and Euclidean Algorithm, Modular Arithmetic and Basic Properties of Congruences, Well Ordering Principle and Mathematical Induction, Algebra of Matrices, Adjoint and Inverse of a Matrix, Rank of a Matrix, Theory and Transformation of Equations, Solution of Cubic and Biquadratic Equations, etc. are explained thoroughly and followed by numerous examples and practice exercises. Questions from Universities Latest Examination papers are included at the end for smart revision and practice.
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