A P Singh Modern Algebra Book is Useful for exams like CSIR UGC NET, GATE, TIFR, NBHM, IIT-JAM, and many more. Download here the Book Modern Algebra by AP Singh PDF for Free.

This book is designed for students who are preparing for various National Level competitive examinations and also inspires them to enter into Ph.D. Programs by qualifying for the various entrance exams.

## Overview of Modern Algebra by AP Singh PDF – [Infostudy Books]

This book elaborates on the basic definitions of Group Theory The concept of Class Equation is illustrated in a very suitable way for the ease of students. Sylow’s Theorems are explained with good examples. In addition to it, the book discusses the concepts of Ring Theory and Field Theory in brief.

In the end, the topics of Number Theory are explained. The main attribute of this book is that utmost care has been taken of the fact that Modem Algebra is presently the major part of all competitive exams and accordingly the examples and the problems have been listed.

## Feature of the Overview of Modern Algebra by AP Singh PDF – [Infostudy Books]

The practice sets are introduced at the end of the topics which include a variety of questions from CSIR UGC NET, IT JAM, TIFR, NBHM, and GATE previous year question papers. These questions are carefully selected so that the students can apply mathematical knowledge in solving the questions. In addition to it, the solved examples are also given at the end of every chapter which will help in a deep understanding of the topics discussed. The key points provide a quick revision of every chapter. Also, a well – thought question bank, in the form of various assignments, is given at the end of each chapter which covers entire prescribed topics, so as to facilitate students to do more and more practice and hence secure good results.

While completing this book, more stress is given to problem-solving techniques rather than language or exact mathematical symbols. Any suggestions for the improvement of the book will be highly appreciated.

## Modern Algebra by AP Singh PDF

CHAPTER – 1: GROUP THEORY

• 1.1. GROUP
• 1.2. SUBGROUP
• 1.3. COSET
• 1.4. ABELIAN GROUP.
• 1.5. NORMAL SUBGROUP
• 1.6. CYCLIC GROUP
• 1.7. QUOTIENT GROUPS
• 1.8. DIRECT PRODUCTS
• 1.9. SOME IMPORTANT GROUPS.
• 1.10. HOMOMORPHISM AND ISOMORPHISM.
• 1.11. CENTRE OF A GROUP…
• 1.12. NORMALIZER SUBGROUP
• 1.13. CENTRALIZER OF AN ELEMENT OR NORMALIZER OF AN ELEMENT…
• 1.14. COMMUTATOR SUBGROUP
• 1.15. FUNDAMENTAL THEOREM OF FINITE ABELIAN GROUPS
• 1.16. NUMBER OF NON-ISOMORPHIC ABELIAN GROUPS
• KEY POINTS
• ASSIGNMENT 1.1
• ASSIGNMENT 1.2
• ASSIGNMENT 1.3
• ASSIGNMENT 1.4

CHAPTER – 2: PERMUTATIONS AND SYLOW’S THEOREM

• 2.1. PERMUTATIONS….
• 2.2. SYMMETRIC GROUP Sn..
• 2.3. ALTERNATING GROUP An.
• 2.4. CONJUGACY CLASSES AND CONJUGACY EQUIVALENCE RELATION
• 2.5. ………. More…

## About the author of Modern Algebra Dr. AP Singh [Infostudy Books]

Dr. A.P. Singh is Ph.D. In mathematics from Panjab university. He has been a Gold Medalist in his graduation as well as post-commencement and a recipient of a countrywide Board of better arithmetic (NBHM) scholarship besides being a sportsman and a chess lover. He cleared his CSIR UGC JRF in December 2000 at the same time as he become pursuing his Master’s diploma.

Through his Ph.D., he has been conferred with the accolades like Indian Young Scientist Award, and Prof M. Venkataraman Best Paper Presentation Award.  After finishing his studies, he earned name and repute for his sustained efforts in offering satisfactory schooling to his student lots of whom are actually pursuing studies in IITs, IISERs, Panjab college, Delhi university, and different reputed establishments.

For the final 15 years, Dr. A.P. Singh is committed to promoting better arithmetic by using his precise way of teaching,  guiding, and motivating students to crack the country-wide stage checks like net, GATE, TIFR, IIT-JAM, and many others., so that they may pursue their career in higher mathematics. Dr. A.P. Singh is constantly inclined to take up college students’ issues on Whatsapp-9876788051 and on FB organization “better Maths discussion through Dr. A.P. Singh”.

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