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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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In case of any problem with downloading, please write to mttsonlineservices+exparticles@gmail.com.

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 1596 downloads so far.
Last downloaded on: 17-02-2019 01:29 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 1460 downloads so far.
Last downloaded on: 20-02-2019 11:07 PM
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3 The Role of LUB Axiom in Real Analysis Brings out the role of LUB property (order completeness) of $\R$. Gives a unified view of many of the crucial results in a first course in real analysis
likely to be best for a review of basic real analysis. B.Sc. 1072 downloads so far.
Last downloaded on: 20-02-2019 04:43 PM
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4 Structure of Linear Maps Gives a motivated and clutter free proofs of many theorems about the structure of linear maps. Proves Jordan canonical form, spectral theorems for self-adjoint,normal, unitary and orthogonal maps, singular value decompositions, triangular forms.
Final year B.Sc, M.Sc 1,2 972 downloads so far.
Last downloaded on: 20-02-2019 04:54 AM
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5 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. 2 963 downloads so far.
Last downloaded on: 20-02-2019 10:17 PM
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6 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. 2 944 downloads so far.
Last downloaded on: 20-02-2019 11:09 PM
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7 Arithmetic-Geometric Mean Inequality Proof by Induction and Calculus A proof of the classic inequality on AM-GM using calculus and induction.
2nd /final year BSc O 863 downloads so far.
Last downloaded on: 20-02-2019 03:34 PM
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8 Complex Analysis: Handout-2 (Results on Power Series) Results on power series
829 downloads so far.
Last downloaded on: 20-02-2019 12:43 PM
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9 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.
811 downloads so far.
Last downloaded on: 19-02-2019 10:51 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. 2 797 downloads so far.
Last downloaded on: 20-02-2019 04:46 PM
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