SET- The objective paper of Mathematics

SET- The objective paper of Mathematics

For the objective paper of Mathematics of SET the follwing books are helpful:

1. Introduction to AlgebraAuthor- Donald LewisPublishur- Harper and Row, New York.(This is a MUST MUST have book).You just need to go through all the statements and results in this book.By doing so you will have Complete, Concise, Clear collection of all the results in Group Theory, Ring Theory, Field Theory, Linear Algebra (Vector Spaces). This collection will help you to solve any question on these topics. Great Book!!!

2. Linear AlgebraAuthor- LipschitzPublisher- Schaum Series(This is a MUST have book).

Just going through the solved examples in this book will acquaint you with various methods of solving the problems in Linear Algebra. Note that there are many questions on Linear Algebra in the II paper of SET

3. Real AnalysisAuthor- N. L. CarothersPublisher- Cambridge University Press

This book may be called as "Encyclopedia of Real Analysis" and I used in that manner only rather than using it as a text book. The information is power packed in concise manner in this book.Here is example: Suppose you wish to prepare the topic " Sequence of Functions".

First, read introduction (this is the part of concept clearing).Secondly read the statement of theorems (this will suffice, no need to see the proofs.) Finally go through all the examples given in the text to clear the ideas further.

4. Complex Variable

Author- M. L. KhannaPublisher- Jai Prakash Nath & Co.,

Prepare only First Chapter from this book.Sometimes the basic questions on the complex numbers are asked in SET exam (e.g. Find numer of solutions of |z|=1 & |z-1|=1). The above chapter is useful for that.

5. Complex Variables and ApplicationsAuthors- Churchil and Brown Publisher- McGraw HillPrepare only the first Seven Chapters of this book. This book is written in simple language and is very useful for objective paper.

These books will suffice to clear the objective paper

Must Do topics for Descriptive paper of SET

These are the most important topics for the descriptive paper of SET:

1. Sylow Theorems and examples based on their appllications.Prepare this topic from:Book: A First Course in Abstract AlgebraAuthor: J.B. FraleighPublisher: Narosa Publishing House

Chapter18: Sylow TheoremsChapter 19: Applications of Sylow Theory

Do everything from these chapters.

2. Harmonic conjugate (How to find Harmonic conjugate).Prepare this topic from:Book: Complex VariableAuthor: M. L. KhannaPublisher: Jay Prakash Nath & Co..Chapter III- Analytic Functions

Do everything from this chapter.

3. Finite Fields.Prepare this topic from:Book: Topics in AlgebraAuthor: I. N. HersteinPublisher:

Do from topics covered under "Selected Topics" in this book

4. Chain Rule , Inverse Function Theorem , Implicit Function Theorem.Prepare this topic from:Book: Analysis on ManifoldsAuthor: J. R. MunkresPublisher: Addison Wesley Publishing Company.

Do the chapter II Differentiation. Also Solve the Exercise Completely