Aniruddha Deshmukh
I have completed MSc in Mathematics and I am doing a PhD at the Indian Institute of Technology, Indore. My research interests include (but are not limited to) Fixed Point Theory, Topology, Analysis, Differential Geometry.
Education
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MSc, SVNIT, Surat, 2020
PhD, IIT Indore, (pursuing)
Areas of Research / Professional Expertise
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Metric Topology, General Topology, Fixed Point Theory, Analysis, Differential Geometry
Websites
Books
Articles
Arbitrary vs Random
Published: Mar 05, 2021 by Resonance-The Journal of Science Education
Authors: Aniruddha Deshmukh
Subjects:
Mathematics
In this article, we try to see the difference between the two words—‘arbitrary’ and ‘random’, which often confuse students. The article is a product of discussions with my batch-mates and juniors who have raised the question, “What is the difference between arbitrary and random?” and “When should we use the word arbitrary and what is its significance?” The article tries to address these questions in general.
A note on Vector Space Axioms
Published: Nov 06, 2020 by Resonance-The Journal of Science Education
Authors: Aniruddha Deshmukh
Subjects:
Mathematics
In this article, we have given the importance of the axioms of a vector space and have commented upon why these should not be taken for granted. A typical undergraduate student often thinks that only checking a few axioms would imply that the given space also satisfies other axioms. We particularly emphasise on one of those axioms, and give the reader proper reasoning as to what would happen if we take this for granted.