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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 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 1786 downloads so far.
Last downloaded on: 21-04-2019 01:52 AM
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2 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 1675 downloads so far.
Last downloaded on: 21-04-2019 02:05 AM
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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. 1181 downloads so far.
Last downloaded on: 20-04-2019 03:05 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 1063 downloads so far.
Last downloaded on: 19-04-2019 08:28 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 1053 downloads so far.
Last downloaded on: 21-04-2019 01:40 AM
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6 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 1034 downloads so far.
Last downloaded on: 19-04-2019 07:00 AM
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7 Limit Inferior and Limit Superior A thorough treatment of limsup and liminf. This topic is a source of concern for many students.
B.Sc 1,2 1005 downloads so far.
Last downloaded on: 20-04-2019 01:41 AM
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8 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 1002 downloads so far.
Last downloaded on: 20-04-2019 06:30 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. 2 988 downloads so far.
Last downloaded on: 17-04-2019 08:43 AM
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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.
955 downloads so far.
Last downloaded on: 21-04-2019 02:18 AM
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