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Download MTTS Expository Articles

The articles are prepared by Prof. S Kumaresan, the MTTS Programme Director and usually gets distributed to the MTTS/ Mini MTTS/ PTMT participants.

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Sl No Title Description Targeted Audience MTTS Level Downloads
1 Summary of Differential Geometry (January-April 2008) A summary of the course on differential geometry of curves and surface as it unfolded. More was covered and we used other articles on these themes.
Senior undergraduates, M.Sc 370 downloads so far.
Last downloaded on: 20-11-2017 11:58 AM
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2 Problems in Algebraic Topology Assignments in a first course in algebraic topology. A good set of exercises to face your pre-Ph.D.exams.
2nd year M.Sc. 241 downloads so far.
Last downloaded on: 16-11-2017 11:16 PM
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3 Change of Variable Formula for Multiple Integrals Adapts Lax' proof of a version of change of variable formula to obtain the standard version of the result. Needs wider publicity as there had been attempts by others to modify lax proof to obtain the classical statement but none of them is satisfactory in our opinion.
M.Sc. 41 downloads so far.
Last downloaded on: 01-10-2017 07:49 PM
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4 Complex Analysis: Handout-2 (Results on Power Series) Results on power series
412 downloads so far.
Last downloaded on: 16-11-2017 02:59 PM
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5 Dihedral Groups A geometric as well as algebraic description of one of the most important classes of groups.
1 66 downloads so far.
Last downloaded on: 14-11-2017 02:04 PM
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6 Proofs of Malgrange-Ehrenpreis Theorem Aims to give different proofs of local solvability of PDO's with constant coefficient. INCOMPLETE
Ph.D. 19 downloads so far.
Last downloaded on: 27-07-2017 08:05 PM
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7 An Overview of the Theory of Linear PDE This is a Very Biased Overview of PDE and Rough List of Recurrent Themes in PDE. It was written as answer to a senior mathematician who just wanted a bird's eyeview of the subject. This was written almost 2 decades ago and but still relevant.
Ph.D. 63 downloads so far.
Last downloaded on: 22-09-2017 12:25 AM
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8 Local Solvability of Constant Coefficient Differential Operators It establishes the local solvability of constant coefficient partial differential operator using Hormander's a priori inequality.
Ph.D. 18 downloads so far.
Last downloaded on: 27-07-2017 08:06 PM
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9 Maximum Principle Heat Equation Seems to be a subset of pde8_heat.pdf
30 downloads so far.
Last downloaded on: 26-09-2017 10:53 PM
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10 An Outline of Real Analysis An outline of real analysis ; one of the trio (2008, 2010, 2012). Our book ?A Basic course in Real Analysis? is based on these.
357 downloads so far.
Last downloaded on: 16-11-2017 07:04 AM
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