Algebra

Algebra
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Algebra

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Publisher: Vayu Education
ISBN: 9789383137374
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Preface This book is the fruitful effect of my experience and teaching in Real Analysis-1 for more than two and half decades. The book entitles Real Analysis-1 is written according to the prescribed syllabus. The aim of the book is to explain the concepts symmetrically and develop understanding of the algebra and its problem solving methods. In this book all the topics and examples are discussed step by step in detail, without leaving aside anything, so that the reader may understand the subject themselves without the help of others. The book contains large number of solved examples for understanding and unsolved problems for practice related . The auther is greatful to his publishers for their full co-operation in bringing out the book in the present nice form. While we are sanguine that this book will serve the intended purpose, still suggestions for improvement of the book are quite welcome.
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About The Book This book provides important basic algbraic concepts and method needed by the mathematics students in their applications. In this book, an attempt is made to present in a simple and systematic way pertinent definitions, theorems, lemmas and methods together with solved examples. All the principles and theorems presented in the book are illustrated by numerous worked examples. The book draws a balance between theory and practice. In this book I have concentrated on both of these aspects the tools for formula in the mathematical equations and also the method of solving them. A number of solved and unsolved problems are presented for subject learners. Exercises for practice problems for students practice to amplify and extend theory are also included. I am grateful to all those who had a direct impact on this work.
Author
About the Author Dr. V. N. Jha, is working as Professor Head in the Department of Mathematics, Galgotia s College of Engg. Technology, Gr. Noida. Dr. Jha is an active academician he has authors so many books of mathemtics for undergraduate and post graduate level and competitive books. He has written several research papers in national and international journals repute. He is also the life member of many mathematical societies and as a teacher he is teaching more than 25 years.
Author
Contents Preface
v BLOCK 1
1. Group Theory .............................................................................................................................. 3 2. Quotient Groups ........................................................................................................................ 20 3. Cyclic Group ............................................................................................................................. 49 BLOCK 2 1. Ring Theory ............................................................................................................................... 67 2. Homomorphism of Ring ............................................................................................................ 75 3. Factorization .............................................................................................................................. 86 4. Polynomial Rings ....................................................................................................................... 94