Fundamentals Of Mathematics - Algebra-II

This book has been written with the objective of providing a text book as well as an exercise book, focussing on problem solving. I feel this will not only fulfil the need of a beginner, pre-college student (i.e., students of Std XI and XII), but also meet the requirements of advanced level students who are preparing for various entrance examinations like the JEE, BIT-SAT, and other engineering entrance examinations. This book gives deep insights into topics like Matrices, Determinants, Complex Numbers, Vectors, Three Dimensional Geometry and Probability. These are the six scariest but highly scoring topics of Mathematics. The well-arranged content list will help students and teachers both to access conveniently the chapters and sub-topics of their interest. Each chapter is divided into several topics. Each topic contains theory and sometimes subtopics with sufficient number of worked out illustrative problems. Students can develop applicative ability of the concepts learned. This is followed by a textual exercise of both objective and subjective problems, as per the requirements. At the end of the theory of each chapter, a large set of solved examples of both objective and subjective type is given. This will involve application of all the concepts learnt in the chapter so that students can develop mastery over the chapter. The tutorial exercise given at the end contains a large number of multiple choice problems of single and multiple correct answers, comprehension passages, column matching problems, numerical integer type questions to facilitate the students to do the thorough revision of the entire chapter and to enhance their level of understanding of the topics. For teachers, this text book will be quite helpful as it will provide a set of well graded problems and well arranged topics, that can be used to give home assignments to their students.

Chapter 1 Matrices

Chapter 2 Determinants

Chapter 3 Vector

Chapter 4 3-D Geometry

Chapter 5 Complex Numbers

Chapter 6 Probability