A Textbook Of B Sc Mathematics Linear Algebra

This "Textbook of B.Sc Mathematics" for the students studying third year first semester in all universities of Telangana state was first published in the year 1988 and has undergone several editions and many reprints.

Mathematics-I for the paper BSC-105 of the latest AICTE syllabus has been written for the first semester engineering students of Indian universities. Paper BSC-105 is exclusively for CS&E students. Keeping in mind that the students are at the threshold of a completely new domain, the book has been planned with utmost care in the exposition of concepts, choice of illustrative examples, and also in sequencing of topics. The language is simple, yet accurate. A large number of worked-out problems have been included to familiarize the students with the techniques to solving them, and to instill confidence.Authors’ long experience of teaching various grades of students has helped in laying proper emphasis on various techniques of solving difficult problems.

A Textbook of B.Sc. Mathematics Abstract Algebra

A Textbook of B.Sc. Mathematics

This book has been thoroughly revised according to the syllabus of 1st year's 2nd semester students of all universities in Andhra Pradesh. The revised syllabus is being adopted by all the universities in Andhra Pradesh, following Common Core Syllabus 2015-16 (revised in 2016) based on CBCS. This book strictly covers the new curriculum for 1st year, 2nd semester of the theory as well as practical.

Algebra >Functions And Relations >Congruence Of Integers >Some Special Types Of Matrices >Elementary Operations And Inverse Of A Matrix >Linear Dependance Of Vectors >Rank Of A Matrix >Linear Equations >Characteristic Roots Of Vectors >Theory Of Equations

The book caters to the 1st semester students of BSc (Hons) Mathematics of Indian universities. It has been written strictly in accordance with the CBCS syllabus of the UGC. The book teaches the concepts and techniques of basic algebra with a focus on explaining definitions and theorems, and creating proofs. The theory is supported by numerous examples and plenty of worked-out problems. Its strict logical organization has been designed to help the reader to develop confidence in the subject. By introducing various interesting applications of algebra the book also aims at creating a broad and solid foundation for the study of advanced mathematics.The contents covered in the book are equivalence relations, functions, cardinality, congruence-modulo, mathematical induction and De Moivre's theorem. Further, some basic topics of linear algebra like vectors and matrices, linear equations, Gauss elimination, subspace and its dimension, rank-nullity theorem, linear trans-formations and their relations to matrices, and eigenvalues and eigenvectors are also covered. Since practice makes the man perfect, there are a good number of problems that stretch the thinking power of the learner. The problems are graded from easy to those involving higher order thinking. By its virtue the book inculcates that mathe-matical maturity which students need in their current and future courses to grow up into mathematicians of substance.

"A Textbook of B.Sc. Mathematics [Linear Algebra]" strictly covers the new curriculum for Course 5 (2nd year, 2nd semester) of universities in Andhra Pradesh. It covers Vector Spaces, Basis and Dimension, Linear Transformation, Fundamentals of Matrices, Characteristic Values and Characteristic Vectors, Cayley-Hamilton Theorem and Orthogonality.