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General Topology Notes

General Topology Notes Mathematics  Here we are presenting you general Topology Notes in pdf form. Its comparatively hard to find general topology notes because of low online demand or usages. General Topology is widely used in various mathematics field and for educational purpose. Used for b.sc and m.sc in mathematics. Also used in Csir - Net and ugc net other competition exams. Before downloading you can have a check on the content. Contents of file/ lecture Notes 1 Lecture  1.1 History of Topology 1.2 Set Theoretic Preliminaries  1.3 Relations and Functions  1.4 Cardinality and Operations on Sets  2 Lecture 2.1 Logic and Techniques of Proof  2.2 Topology on a Set 2.3 Open and Closed Sets  3 Lecture 3.1 Set Theoretic Preliminary 3.2 Interior and Closure  3.3 Exterior and Boundary  3.4 Examples  4 Lecture 4.1 Interior, Closure, Exterior, and Boundary Points  4.2 Cluster Points and Isolated Points  ...

TRANSFORMATION OF EQUATION synthetic division method

If we want to find the equation whose roots are less by h then the the roots of the given equation then we will find the required equation by replacing x by x + h For example  if we have a question such that Second term from the equation x^3 -6x^2 +4x -7 =0 3 − 6 x x 3 − 6 x 2 + 4 x − 7 = 0  Can be removed by We can also apply shortcut trick to solve this type of problems by application of synthetic division method we can can easily solve questions Example  The equation whose roots are greater by 4 then the roots of given equation  x 4 − 6 x 3 − 38 x 2 − 3 x + 17 = 0 Bookmark this blog for further update. Comment if any query or question