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This Book Is Meant To Provide A Text For The Graduate And Post-Graduate Classes On Modern Algebra At All Indian Universities And At The Institutes Of Technology, But Is Also Intended To Be Useful For All Competitive Examinations Such As I.A.S., Net Etc.This Book Presents Basic And More Important Results In Group Theory, Ring Theory, Linear Algebra And Field Theory. It Is A Self-Contained Book And Also Provides An Understanding Of Basic Mathematical Concepts To Science, Engineering And Social Science Students.There Is Always A Danger Of Introducing The Abstract Concepts Too Suddenly And Without Sufficient Base Of Examples. In Order To Mitigate It The Concepts Have Been Motivated Beforehand. The Topics Have Been Presented In A Simple, Clear And Coherent Style With A Number Of Examples And Exercises. Exercises Of Various Levels Of Difficulty Are Given At The End Each Section.
This Book Enables Students To Thoroughly Master Pre-College Mathematics And Helps Them To Prepare For Various Entrance (Screening) Tests With Skill And Confidence.The Book Thoroughly Explains The Following: 1. Algebra 2. Trigonometry 3. Co-Ordinate Geometry 4. Three Dimensional Geometry 5. Calculus 6. Vectors 7. StatisticsIn Addition To Theory, The Book Includes A Large Number Of -Solved Examples -Practice Problems With Answers -Objective Questions Including Multiple Choice, True/False And Fill-In-The-Blanks -Model Test Papers And Iit Screening Tests For Self-Test The Language Is Clear And Simple Throughout The Book And The Entire Subject Is Explained In An Interesting And Easy-To-Understand Manner.
This Book Enables Students To Thoroughly Master Pre-College Mathematics And Helps Them To Prepare For Various Entrance (Screening) Tests With Skill And Confidence. The Book Thoroughly Explains The Following:1. Algebra2. Trigonometry3. Co-Ordinate Geometry4. Three Dimensional Geometry5. Calculus6. Vectors7. StatisticsIn Addition To Theory, The Book Includes A Large Number Of * Solved Examples * Practice Problems With Answers * Objective Questions Including Multiple Choice, True/False And Fill-In-The-Blanks * Model Test Papers And Iit Screening Tests For Self-TestThe Language Is Clear And Simple Throughout The Book And The Entire Subject Is Explained In An Interesting And Easy-To-Understand Manner.
Starting From The Historical Development Of The Subject, The Book Presents A Systematic Treatment Of The Basic Concepts And Techniques Involved In Integral Calculus.Techniques Of Integration, Beta And Gamma Functions, And Multiple Integrals Are Explained In Considerable Detail.Geometrical And Mechanical Applications Of Integration And The Numerical Methods Involved In Computation Of Integrals Are Suitably Highlighted.Each Chapter Includes Several Solved Examples Illustrating The Concepts And Techniques. Many Of These Examples Incorporate The Complete Derivations And Proofs Of The Theorems Discussed In The Text. A Large Number Of Unsolved Problems With Answers Are Also Included.
The Book Enables Students To Thoroughly Master Pre-College Chemistry And Helps Them To Prepare For Various Entrance (Screening) Tests With Skill And Confidence.The Book Thoroughly Explains The Following: * Physical Chemistry, With Detailed Concepts And Numerical Problems * Organic Chemistry, With More Chemical Equations And Conversion * Inorganic Chemistry, With Theory And ExamplesIn Addition To A Well-Explained Theory, The Book Includes, Well Categorized, Classified And Sub-Classified Questions (With Authentic Answers And Explanations) On The Basis Of * Memory Based Questions (Sequential Questions, To Help Step-By-Step Learning And Understanding The Concepts In Each Chapter) * Logic Based Questions (Numerical Objective Problems & Questions Requiring Tricks) * Questions From Competitive Exams (Covering Objective Questions Up To Year 2002 Of All Indian Engineering/Medical Examinations In Chronological Order).
A Textbook of Discrete Mathematics provides an introduction to fundamental