Algebra and Trigonometry

About this book

If you are a B.A. or B.Sc. First Year student in Madhya Pradesh, your Major-1 paper opens with a unit most textbooks on the shelf do not contain. Unit-I is the Indian Knowledge System — Bhaskaracharya II, Brahmagupta, Mahaviracharya, Narayana Pandit and Vedic Algebra. NEP books written for other states skip it, and students find out a fortnight too late. This book was written for the Madhya Pradesh syllabus, so it starts exactly where your paper starts.

From there it follows your six units in order: Rank, Echelon and Normal Form of a Matrix, Eigen Values and Eigen Vectors; Characteristic Equations, the Cayley-Hamilton Theorem and its application to inverses and systems of linear equations; Roots of an Equation, Synthetic Division and Descartes' Rule of Signs; De-Moivre's Theorem and extraction of roots of a complex quantity; and Circular, Hyperbolic and Inverse Hyperbolic Functions.

Every topic in this paper recurs in MPPSC Mathematics, CSIR NET, UGC NET, CUET-PG and IIT JAM, so the book is a first step into competitive preparation as well as a semester text. Written by Dr. H.K. Pathak, Ex-Professor and Head, School of Studies in Mathematics, PRSU Raipur, with over 3,300 research citations. Also available in Hindi as Bijganit aur Trikonmiti. Published by Shree Shiksha Sahitya Prakashan, Meerut.