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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 Real Analysis Batch B (200708) Daily sheet of a course in real analysis up to continuity. This is perhaps what we do in Level O of MTTS camps.
B.Sc O,1 1100 downloads so far.
Last downloaded on: 23-04-2018 07:21 PM
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2 Outline of Group Theory A complete course (with a lot of examples and exercises with just enough hints) in the theory groups leading up to Sylow's theorems.
B.Sc 1 808 downloads so far.
Last downloaded on: 22-04-2018 02:36 PM
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3 A Review of Differential Calculus The article reviews several variable calculus with emphasis on concepts, theorems and their geometric contents. It gives a lot of examples which will wean the reader away from Jacobian computations!
M.Sc. 2 584 downloads so far.
Last downloaded on: 20-04-2018 10:32 AM
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4 Complex Analysis: Handout-2 (Results on Power Series) Results on power series
490 downloads so far.
Last downloaded on: 20-04-2018 03:44 PM
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5 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 435 downloads so far.
Last downloaded on: 20-04-2018 10:47 AM
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6 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.
434 downloads so far.
Last downloaded on: 20-04-2018 10:12 AM
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7 Completeness of R Gives perhaps the simplest proof of Cauchy completeness of $\R$. Does not use anything other than the definitions of convergence and Cauchy sequences and LUB property of $\R$. This needs wider publicity. Included in out book on Real analsyis.
2nd year B.Sc O,1 432 downloads so far.
Last downloaded on: 22-04-2018 03:25 AM
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8 Exercises on Inverse images Has a good set of exercises which are meaningful in mathematics to make the studenst deal with the concept confidently. This is a problem area all over.
O O 430 downloads so far.
Last downloaded on: 19-04-2018 05:42 PM
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9 Outline of a Course in Field Theory A more thorough treatment of Galois theory with good set of exercises. Plan to write it up as a small book.
M.Sc. 2 427 downloads so far.
Last downloaded on: 22-04-2018 04:01 AM
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10 Functional Analysis (2011) Summary of Lectures An outline of a course in functional analysis given at University of Hyderabad. Contains a lot of concrete examples, spaces of functions and good exercises. Prepares the students for future use of functional analysis in other parts of mathematics. Goes up to the spectral theom for compact self-adjoint operators, Riesz-Schauder theory of compact operators, their applications to integral equations.
M.Sc. 2 407 downloads so far.
Last downloaded on: 22-04-2018 04:01 AM
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