Learning Mathematics - Enjoy Pure Mathematics

  Greetings to all and Welcome. The objective of this initiative is to inculcate Mathematical and logical thinking towards problem solving. We attempt this through solving questions of CSIR UGC NET Mathematics. This also benefits NET/SET aspirants. In this connection we post topic wise discussion.  In the following link we discussed questions on  Real Analysis - Uniformly Continuous Functions and Functions of Bounded Variations . Real Analysis - Uniformly Continuous Functions and Functions of Bounded Variations      The links of earlier posts are :  Real Analysis - Basics Real Analysis - Cardinality of sets Real Analysis - Infimum and Supremum and Metric Space Real Analysis - Sequence and lim inf and lim sup   Algebra  - Group Theory Real Analysis - Series and Power Series https://velrajanm.blogspot.com/2024/03/real-analysis-monotonic-continuous.html

  Greetings to all and Welcome. The objective of this initiative is to inculcate Mathematical and logical thinking towards problem solving. We attempt this through solving questions of CSIR UGC NET Mathematics. This also benefits NET/SET aspirants. In this connection we post topic wise discussion.  In the following link we discussed questions on  Real Analysis-Monotonic, Continuous, Differentiable Functions .   Real Analysis-Monotonic, Continuous, Differentiable Functions      The links of earlier posts are :  Real Analysis - Basics Real Analysis - Cardinality of sets Real Analysis - Infimum and Supremum and Metric Space Real Analysis - Sequence and lim inf and lim sup   Algebra  - Group Theory Real Analysis - Series and Power Series

  Greetings to all and Welcome. The objective of this initiative is to inculcate Mathematical and logical thinking towards problem solving. We attempt this through solving questions of CSIR UGC NET Mathematics. This also benefits NET/SET aspirants. In this connection we post topic wise discussion.  In the following link we discussed questions on  Real Analysis - Series and  Power Series.      Real Analysis - Series and Power Series The links of earlier posts are :  Real Analysis - Basics Real Analysis - Cardinality of sets Real Analysis - Infimum and Supremum and Metric Space Real Analysis - Sequence and lim inf and lim sup

  Greetings to all and Welcome. The objective of this initiative is to inculcate Mathematical and logical thinking towards problem solving. We attempt this through solving questions of CSIR UGC NET Mathematics. This also benefits NET/SET aspirants. In this connection we post topic wise discussion.  In the following link we discussed questions on  Algebra - Group Theory   Algebra - Group Theory      The links of earlier posts are :  Real Analysis - Basics Real Analysis - Cardinality of sets Real Analysis - Infimum and Supremum and Metric Space Real Analysis - Sequence and lim inf and lim sup

  Greetings to all and Welcome. The objective of this initiative is to inculcate Mathematical and logical thinking towards problem solving. We attempt this through solving questions of CSIR UGC NET Mathematics. This also benefits NET/SET aspirants. In this connection we post topic wise discussion.  In the following link we discussed questions on  Real Analysis - Sequence and  lim inf and lim sup .     Real Analysis - Sequence and lim inf and lim sup The links of earlier posts are :  Real Analysis - Basics Real Analysis - Cardinality of sets Real Analysis - Infimum and Supremum and Metric Space

Greetings to all and Welcome. The objective of this initiative is to inculcate Mathematical and logical thinking towards problem solving. We attempt this through solving questions of CSIR UGC NET Mathematics. This also benefits NET/SET aspirants. In this connection we post topic wise discussion.  In the following link we discussed questions on  Real Analysis - Infimum and Supremum and Metric Space .   Real Analysis - Infimum and Supremum and Metric Space The links of earlier posts are :  Real Analysis - Basics Real Analysis - Cardinality of sets   

  Greetings to all and Welcome. The objective of this initiative is to inculcate Mathematical and logical thinking towards problem solving. We attempt this through solving questions of CSIR UGC NET Mathematics. This also benefits NET/SET aspirants. In this direction we post topic wise discussion. As the s ec on d on e , in the following l ink we discussed questions on Real Analysis - Cardinality of sets. Real Analysis - Cardinality of sets

  Greetings to all and Welcome. The objective of this initiative is to inculcate Mathematical and logical thinking towards problem solving. We attempt this through solving questions of CSIR UGC NET Mathematics. This also benefits NET/SET aspirants. In this direction we post topic wise discussion. As the first, in the following l ink we discussed questions on Real Analysis- Basics. Real Analysis- Basics

                              Cyclic Group to Subgroup, Subring and  Ideal Generated by a Subset M. Velrajan The objective of this article is to develop mathematical thinking, problem solving and thereby developing critical thinking among young mathematics learners. This can be done by enlightening the young minds with understanding and exploration of the beauties of pure mathematics and with developing interest in mathematics. Let us discuss how we can find the subgroup generated by a subset of a group and the subring and ideal generated by a subset of a ring by understanding the cyclic subgroup of a group. We start with  1. Suppose * is an associative binary operation on a set A. Then we know that * as a mapping from A × A into A, for any a, b ∈ A, a * b ∈ A and it is unique. The natural way of thinking raises about 3 elements and ...