Apr 6, 2013

Mathematical notes at IIT

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    Notes on Fourier Transforms Ameer Athavale Notation and ...

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    Notes on Fourier Transforms. Ameer Athavale. Notation and Conventions. N= The set of natural numbers = {1,2,3, ...} R = The set of real numbers. R+ = The set ...
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    PDF file - Department of Mathematics - Indian Institute of Technology ...

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    by KN Raghavan - 1997 - Cited by 6 - Related articles
    Ž . JOURNAL OF ALGEBRA 195, 211232 1997. ARTICLE NO. JA966938. Mixed Hilbert Coefficients of Homogeneous d-Sequences and Quadratic Sequences ...
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    advances in mathematics 121, 167 195 - Department of ...

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    by SR Ghorpade - 1996 - Cited by 9 - Related articles
    Advances in Mathematics AI1561 advances in mathematics 121, 167 195 (1996). Young Multitableaux and Higher. Dimensional Determinants. Sudhir R.
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    PDF File - Department of Mathematics - Indian Institute of ...

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    by SR Ghorpade - 2012 - Cited by 3 - Related articles
    This is a free offprint provided to the author by the publisher. Copyright restrictions may apply. Contemporary Mathematics. Volume 574, 2012 ...
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    MA-105 Problem Set-I Autumn Semester 2007-08 - Department of ...

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    MA-105 Problem Set-I. Autumn Semester 2007-08 c@ INDER K. RANA. SWAPNEEL MAHAJAN. Department of Mathematics. Indian Institute of Technology ...
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    Schedule: Local Cohomology and its Applications - Department of ...

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    Schedule: Local Cohomology and its Applications. Venue: Room 114 , Mathematics Department. Registration: 8:00 - 8:45 AM, Friday, July 1. 9:00–9:50 ...
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    Professional Development & Technology Orientation Organized by ...

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    Dec 29, 2010 – INTRODUCTION. Mathematics education over the world is going through a great change. Curriculum planners all over the world ...
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    Tutorial Sheet No.1 Topic : Limits P Continuity 1. Do the following ...

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    Tutorial Sheet No.1. Topic : Limits P Continuity. 1. Do the following limits exist? If so, find them. (i) lim xl1. |x- 1 |+ 1 x+|x- 12| ;. (ii) lim xl3+ [[ x]] -. [2 x - 1];. (iii) lim ...
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    MA 104 : MATHEMATICS-II - Department of Mathematics - Indian ...

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    1. MA 104 : MATHEMATICS-II. Department of Mathematics. Indian Institute of Technology, Bombay. Course Contents : MA 104 Mathematics -II. Syllabus : ...
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    Workshop on Reliability Theory & Survival Analysis - Department of ...

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    Workshop on Reliability Theory & Survival Analysis. Date: 25th-27th November 2010. Venue: Department of Mathematics, IIT Bombay. Organizing Committee: ...
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    Class Room Occupation Chart (25 Jan 2011) - Department of ...

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    Jan 25, 2011 – D:\office….\Time…..\RoomOccu-4January-2011Jul.doc. Department of Mathematics - Spring Semester 2011 :: Room Occupation Chart - 25th ...
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    Professional Development & Technology Orientation Organized by ...

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    INTRODUCTION. Mathematics education over the world is going through a great change. Curriculum planners all over the world are recommending radical ...
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    Please address all communication to: - Department of Mathematics ...

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    INTRODUCTION. It is well-known that any scientific investigation / study require one or more branches of mathematics. Mathematical tools give a precise way of ...
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    Professional Development & Technology Orientation 28-30 June ...

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    Jun 28, 2012 – Introduction. Mathematics education over the world is going through a great change. Curriculum planners are recommending radical reforms in ...
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    Guidelines for Lab Users - Department of Mathematics

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    Guidelines to be followed in the Computer Labs. This lab is to be used by authorized persons only. (Faculty, Post Docs, Research Scholars and M.Sc. Students ...
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    Download as a PDF - CiteSeerX

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    by SR Ghorpade - 2001 - Cited by 17 - Related articles
    Partially supported by a Career Award grant from AICTE, New Delhi and an IRCC grant from IIT Bombay. Finite Fields and Their Applications 7, 468}506 (2001) ...
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    MA 401, Linear Algebra, Autumn 2007 Tutorial 1

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    MA 401, Linear Algebra, Autumn 2007. Tutorial 1. 1. Check whether the following subset of R4 is linearly independent. {(1, 1, 0, 0), (1, 0, 1, 0), (0, 0, 1, 1), (0,1, ...
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    MA 401, Linear Algebra, Autumn 2007 Tutorial 2

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    MA 401, Linear Algebra, Autumn 2007. Tutorial 2. 1. Consider the following system of linear equations. 2x1 + 3x2 − 2x3 + 4x4. = 2. −6x1 − 9x2 + 7x3 − 8x4. = −3 ...
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    Ramanujan as Everyman

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    Dec 23, 2011 – Tata Institute of Fundamental Research. Public Lecture on the 124th birth anniversary of. Srinivasa Ramanujan organised by TIFR and ...
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    Exercises in Alegbraic Graph theory

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    Exercises in Algebraic Graph Theory. Compiled by. Narasimhan Chari. 1. Find the spectrum of the complete graph dn and the cycle Cn. When are these graphs ...
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    Problems in Matching Connectivity & Network flow

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    Problems in. MATcHINGS, cONNEcTIVITY and NETWORĸ-FLOWS. Compiled by. A. A. Diwan. §1 . Matchings. 1. Prove that for any graph every maximal ...
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    The function - Department of Mathematics - Indian Institute of ...

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    MA 105. CALCULUS OF ONE AND SEVERAL. VARIABLES. Department of Mathematics. Indian Institute of Technology Bombay,. Powai Mumbai 400076, India ...
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    Coordinate Geometry

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    MA 001 Preparatory Mathematics I. Complex numbers as ordered pairs. Argand's diagram. Triangle inequality. De. Moivre's Theorem. Algebra: Quadratic ...
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    Department of Mathematics

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    3 Feb. 2003. Department of Mathematics. Explanation for the code: svs(12/4) indicates that svs will retire from this committee in December 2004. Abbreviations in ...
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    be a continuous function. - Department of Mathematics - Indian ...

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    MA 105. CALCULUS OF ONE AND SEVERAL. VARIABLES. Department of Mathematics. Indian Institute of Technology Bombay,. Powai Mumbai 400076, India ...
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    Let - Department of Mathematics - Indian Institute of Technology ...

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    MA 105. CALCULUS OF ONE AND SEVERAL. VARIABLES. Department of Mathematics. Indian Institute of Technology Bombay,. Powai Mumbai 400076, India ...
  27. [PDF] 

    Lecture 4 - Department of Mathematics - Indian Institute of ...

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    MA 105. CALCULUS OF ONE AND SEVERAL. VARIABLES. Department of Mathematics. Indian Institute of Technology Bombay,. Powai Mumbai 400076, India ...
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    Lecture 15: Objectives Calculus of Several variables.

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    Lecture 15: Objectives. Calculus of Several variables. • The notion of distance in IR. 2 and IR. 3. Inder K. Rana, IIT Bombay – p.2/48 ...
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    Lecture 3 - Department of Mathematics - Indian Institute of ...

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    MA 105. CALCULUS OF ONE AND SEVERAL. VARIABLES. Department of Mathematics. Indian Institute of Technology Bombay,. Powai Mumbai 400076, India ...
  30. [PDF] 

    Exercises in Fourier Transforms Ameer Athavale Sources: [B-N-Be ...

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    Exercises in Fourier Transforms. Ameer Athavale. Sources: [B-N-Be] G. Bachman, L. Narici and E. Beckenstein, Fourier and Wavelet. Analysis, Springer, New ...
  31. [PDF] 

    Problems on Posets and Mobius inversions

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    Problems on Posets and M&obius Inversion. Complied by. M. к. Srinivasan. 1. Let f : P — P be a order preserving bijection (i.e., x < y implies f(x) < f(y)) on a finite ...
  32. [PDF] 

    IIT Bombay guide for visitors - Department of Mathematics

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    IIT Bombay guide for visitors. February '09 by Karim Alexander Adiprasito. In this I intend to give a short introduction to IIT Bombay for international visitors, giving ...
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    To download information in print form, rightclick and - Department of ...

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    Joint session of. “ATCM+TIME 2013” a joint session of 18th ATCM (Asian Technology Conference in Mathematics) and 6th TIME (Technology and Innovations in ...
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    Exercises in Differential Topology - Department of Mathematics ...

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    Notes on Differential Topology1. 7898B CE GI9QBTV. Department of Mathematics. Indian Institute of Technology. Bombay. June 11l 2nno. 1based on lecture ...
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    The Head Department of Mathematics Agra University Agra 4 Uttar ...

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    by U Pradesh
    The Head. Department of Mathematics. Agra University. Agra 4. Uttar Pradesh. The Head. Department of Mathematics. Aligarh Muslim University. Aligarh ...
  36. [PDF] 

    Calculus - Department of Mathematics - Indian Institute of ...

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    MA 105. Mathematics - I. Instructors: Prof. Inder K. Rana : Division I and II. Prof. Ameer Athavale : Division III and IV. Department of Mathematics. Indian Institute ...
  37. [PDF] 

    Representation theory of Finite Groups Problem Set Annual ...

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    Problem Set. Annual Foundation School, IIT Mumbai (May 10 - June 5, 2004). 1. Suppose that G acts transitively on X, and „ X„ > 2. We say that G is doubly ...
  38. [PDF] 

    History of The Department - Department of Mathematics - Indian ...

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    A BRIEF HISTORY OF THE. DEPARTMENT OF MATHEMATICS. I.I.T., BOMBAY, 1958-2007. The Indian Institute of Technology, Bombay was founded in 1958.
  39. [PDF] 

    f +(x)

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    Lecture 8: Sufficient conditions for monotonicity f. ′. +(x) = f′(x) = lim y→x+ f(y) − f(x) y − x. ≥ 0. This proves (i). Proof of (ii) is similar to that of (i) and of (iv) ...
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    Annual Report Department of Mathematics April 2006 – March 2007

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    Mar 17, 2007 – Annual Report. Department of Mathematics. April 2006 – March 2007. In the year 2006-2007, the Department of Mathematics started a number ...
  41. [PDF] 

    are differentiable at - Department of Mathematics - Indian Institute of ...

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    MA 105. CALCULUS OF ONE AND SEVERAL. VARIABLES. Department of Mathematics. Indian Institute of Technology Bombay,. Powai Mumbai 400076, India ...
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    Lectures on Modules over Principal Ideal Domains - Department of ...

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    Lectures on Modules over Principal Ideal Domains. Parvati Shastri. Department of Mathematics. University of Mumbai. Contents. 1 Modules over Commutative ...
  43. [PDF] 

    Annual Report for 2005-2006 - Department of Mathematics - Indian ...

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    Apr 11, 2006 – IIT BOMBAY. DEPARTMENT OF MATHEMATICS. ANNUAL REPORT (YEAR 2005-2006). The year witnessed excelled contributions and ...
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    INTERNATIONAL CONGRESS OF MATHEMATICIANS, 2010 (ICM ...

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    INTERNATIONAL CONGRESS OF MATHEMATICIANS, 2010. (ICM 2010). Scientific Sections. The International Mathematical Union (IMU), which is responsible ...
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    Lecture 11: Mean Value Property • Theorem:

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    Lecture 11: Mean Value Property. • Theorem: If f : [a, b] → R is continuous, then there is at least one point c ∈ [a, b] such that c Inder K. Rana, IIT Bombay – p.12/ ...
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    Schools for lecturers

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    Advance Training in Mathematics Schools. Supported by National Board for Higher Mathematics. ATM Schools for Lecturers. Background: There are more than ...
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    Full Programme (Degree) students:

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    Jun 1, 2012 – Full Programme (Degree) students: Anyone who is not a citizen of India will be considered as a foreign student for the purposes of admission ...
  48. [PDF] 

    Advanced Training in Mathematics Schools

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    Advanced Training in Mathematics Schools. Funded by. National Board for Higher Mathematics. Annual Foundation Schools (AFS). Objectives of AFS ...
  49. [PDF] 

    Vision and Strategy 2007 - Department of Mathematics

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    Vision. To be among the best mathematics departments in the country and to establish an international reputation as a centre for research and teaching in ...
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    The International Congress of Mathematicians (ICM)

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    INTERNATIONAL CONGRESS OF MATHEMATICIANS, 2010. (ICM 2010). Satellite Conferences. The International Congress of Mathematicians (ICM), which is ...
  51. [PDF] 

    Approximate Solutions of Operator Equations and Eigenvalue ...

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    Department of Mathematics. Workshop on. “Approximate Solutions of Operator Equations and. Eigenvalue Problems”. 25th-29th February 2008. (Funded by ...
  52. [PDF] 

    Advanced Training in Mathematics Schools Advanced Instructional ...

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    Advanced Training in Mathematics Schools. Funded by National Board for Higher Mathematics. DAE, Government of India. Advanced Instructional School on ...
  53. [PDF] 

    Advanced Training in Mathematics (ATM) Schools

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    Advanced Training in Mathematics (ATM) Schools. Funded by National Board for Higher Mathematics, DAE, Govt. of India. A brief Overview. There are a large ...
  54. [PDF] 

    Advanced Training in Mathematics Schools

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    Advanced Training in Mathematics Schools. Funded by National Board for Higher Mathematics. DAE, Government of India. Advanced Instructional School on ...
  55. [PDF] 

    Department of Mathematics IIT Bombay Statistics Seminar Programme

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    Department of Mathematics. IIT Bombay. Statistics Seminar Programme. Day and Date : Tuesday, 26/1/2010. Venue: Ramanujan Hall. Speaker with affiliation ...
  56. [PDF] 

    Kendriya Vidyalya Sanghathan organizes refresher courses for the ...

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    Kendriya Vidyalya Sanghathan organizes refresher courses for the teachers of mathematics from time to time. This year we have been approached to deliver ...
  57. [PDF] 

    Mathematics used in daily life

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    Mathematics used in daily life. Navin Singhi. School of Mathematics. Tata Institute of Fundamental Research. Mumbai 400 005, India. (Dr. P. V. Sukhatme ...
  58. [PDF] 

    Seminar Programme - Department of Mathematics

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    Department of Mathematics. IIT Bombay. Dr. P.V. Sukhatme Award Function. Day and Date : Monday, 28/1/2013. Venue: Lecture Hall No.21, VMCC. 2:30 ...
  59. [PDF] 

    PDF FILE - Indian Institute of Technology, Bombay

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    INDIAN INSTITUTE OF TECHNOLOGY, BOMBAY. MA 106. Autumn 2012-13. Note 1. MATRICES AS TOOLS. Throughout these notes the 'text' means Advanced ...
  60. [PDF] 

    VITA - Department of Mathematics

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    VITA. Tony Joseph Puthenpurakal. Phone: (022) 25767487(office). Department of Mathematics. (022) 25768487(home). IITBombay ...
  61. [PDF] 

    Journal of Algebra 278 (2004)

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    by MK Keshari - 2004 - Cited by 3 - Related articles
    Mar 16, 2004 – Journal of Algebra 278 (2004) 628–637 www.elsevier.com/locate/jalgebra. A note on projective modules over real affine algebras ...
  62. [PDF] 

    Lecture notes on Ordinary Differential Equations S. Sivaji Ganesh ...

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    by SS Ganesh - 2007 - Related articles
    1. Lecture notes on Ordinary Differential Equations. Annual Foundation School, IIT Kanpur,. Dec.3-28, 2007. by. S. Sivaji Ganesh. Dept. of Mathematics, IIT ...
  63. [PDF] 

    Lecture Notes on Differential Topology Chapter V:pdf

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    Chapter 5. Intersection Theory. 5.1 Transverse Homotopy Theorem. Theorem 5.1.1 Transversality Theorem: Let Z ⊂ Y and S be manifolds without boundary.
  64. [PDF] 

    Time table for Spring 2009 - Department of Mathematics

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    DEPARTMENT OF MATHEMATICS. January 1, 2009. Time-Table for Spring 2009. Room. L&T Slots. Exam Code. Course Name. LTPC Instructor(s). Slot. B. Tech ...
  65. [PDF] 

    Additional Problems (Multivariable Calculus)

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    “AII,a.b.c” stands for Exercise c of Section b of Chapter a of Calculus,. Volume II by Tom M. Apostol. (AII,10.5.12(b)) Calculate ∫. C ydx+zdy+xdz, where C is the ...
  66. [PDF] 

    A question of Nori : Further studies and applications 1 Introduction

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    by MK Das - Related articles
    A question of Nori : Further studies and applications. Mrinal Kanti Das and Manoj K. Keshari. Stat-Math Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata ...
  67. [PDF] 

    Projections maps, shellings and duality

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    i. PROJECTIONS, SHELLINGS AND DUALITY. SWAPNEEL MAHAJAN. UVWYacdY. Projection maps which appear in the theory of buildings and ori- ...
  68. [PDF] 

    Measure Theory by V. S. Sunder - Department of Mathematics

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    by VS Sunder - 2006 - Related articles
    Nov 27, 2006 – Contents. 1 Probabilities and Measures. 1. 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1. 1.2 σ-algebras as Events .
  69. [PDF] 

    REAL MATHEMATICAL ANALYSIS Contents

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    REAL MATHEMATICAL ANALYSIS. Lectures by Niranjan Balachandran, IIT Bombay. Contents. 1 Preliminaries: The Real Line. 5. 1.1 Relations .
  70. [PDF] 

    Coxeter groups and Hopf algebras - Department of Mathematics

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    by M Aguiar - Cited by 21 - Related articles
    Coxeter groups and Hopf algebras I. Marcelo Aguiar and Swapneel Mahajan. Department of Mathematics, Texas A&M University, College Station,. Texas 77843 ...
  71. [PDF] 

    PDF FILE - Indian Institute of Technology, Bombay

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    INDIAN INSTITUTE OF TECHNOLOGY, BOMBAY. MA 106. Autumn 2012-13. Solutions to Tutorial 1. PART A. 1. If A is an m × n matrix and B an n × p matrix, then ...
  72. [PDF] 

    Department of Mathematics -Time Table for Spring 2009 :: Room ...

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    Department of Mathematics -Time Table for Spring 2009 :: Room Occupation Chart. Time. 8.30-9.25. 9.30-10.25. 10.35-11.30. 11.35-12.30. 2.00-3.25. 3.30-4.55 ...
  73. [PDF] 

    Cohen-Macaulay rings by J. K. Verma - Department of Mathematics

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    SIX LECTURES ON COHEN-MACAULAY RINGS. J. K. VERMA. 1. Regular sequences. Throughout these notes, R is a commutative ring and M is a finite R- ...
  74. [PDF] 

    marking scheme for endsem q.4, q.5

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    Q. 4 (a) (Refer to Solution to Tut.8 Problem 4 and 5.) Drawing one of the pictures (as in Problem 4) and setting up the integral of f(z) = (ln z)3. 1+z2 as a sum of ...
  75. [PDF] 

    Topology of of Open Surfaces - Department of Mathematics - Indian ...

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    by AR Shastri - 2006 - Related articles
    Mar 20, 2006 – Topology of Open Surfaces around a landmark result of C. P. Ramanujam. Anant R. Shastri. Department of Mathematics. Indian Institute of ...
  76. [PDF] 

    PDF file - Department of Mathematics

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    by JK Verma - Related articles
    Complete Intersections in Regular Local Rings. ∗. J. K. Verma. Department of Mathematics. Indian Institute of Technology. Powai, Mumbai 400 076. E-mail: ...
  77. [PDF] 

    List of Committees and their members for Autumn - Department of ...

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    Department of Mathematics. 30 June 2008. The code gks(12/9) indicates that gks will retire from this committee in December 2009. The duration of membership ...
  78. [PDF] 

    Department of Mathematics IIT Bombay

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    Department of Mathematics. IIT Bombay. Lecture Programme on 28/01/2011. Forenoon. Day and Date: Friday, 28/1/2011. Venue: Ramanujan Hall. Speaker with ...
  79. [PDF] 

    Standard Commuting Dilations and Liftings - Department of ...

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    by S Dey - Related articles
    Standard Commuting Dilations and Liftings. Santanu Dey. Department of Mathematics,. Indian Institute of Technology Bombay,. Powai, Mumbai- 400076, India ...
  80. [PDF] 

    Room occupancy slots for Autumn 2008 - Department of Mathematics

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    Department of Mathematics -Autumn Semester 2008 :: Room Occupation Chart. Day/Time. 8.30-9.25. 9.30-10.25. 10.35-11.30. 11.35-12.30. 2.00-3.25. 3.30-4.55 ...
  81. [PDF] 

    Lectures 4-6 (II-week)

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    Lectures 4-6 (II-week). Lecture 5. Sequences. Definition 7 By a sequence in a set X we mean a function s : N → X. Remark 7 Often it is our practice to display a ...
  82. [PDF] 

    Cohen structure theorems by Balwant Singh

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    COMPLETION, FORMAL SMOOTHNESS AND COHEN STRUCTURE. THEOREMS. Balwant Singh. We prove Cohen structure theorems for a complete local ...
  83. [PDF] 

    PDF file - Department of Mathematics

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    by JK VERMA - 2003 - Cited by 1 - Related articles
    ZARISKI-LIPMAN THEORY OF COMPLETE IDEALS IN. 2-DIMENSIONAL REGULAR LOCAL RINGS. J. K. VERMA. Contents. 1. Introduction. 1. 2. Reductions ...
  84. [PDF] 

    educative commentary on jee 2011 mathematics papers (pdf file)

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    EDUCATIVE COMMENTARY ON. JEE 2011 MATHEMATICS PAPERS. Contents. Paper 1. 2. Paper 2. 24. Concluding Remarks. 54. The pattern of JEE 2011 is ...
  85. [PDF] 

    PDF file - Tata Institute of Fundamental Research

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    by UK Anandavardhanan - 2003 - Cited by 9 - Related articles
    Mathematical Research Letters 10, 1–10 (2003). DISTINGUISHED REPRESENTATIONS FOR SL(2). U.K. Anandavardhanan and Dipendra Prasad. Abstract.
  86. [PDF] 

    Titles and Abstracts - Department of Mathematics - Indian Institute of ...

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    by T Ruggeri - 2009 - Related articles
    Seminar Meeting on Hyperbolic and Parabolic. Partial Differential Equations. November 20 - 23rd, 2009. Titles and Abstracts. Date : 20/11/2009 ...
  87. [PDF] 

    MA 403 Real Analysis I 3 1 0

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    ARS\Syllabus-Final-Clay.doc. MA 401 Linear Algebra. 3 1 0 8. Vector spaces over fields, subspaces, bases and dimension. Systems of linear equations, ...
  88. [PDF] 

    educative commentary on jee 2008 mathematics papers (pdf

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    EDUCATIVE COMMENTARY ON. JEE 2008 MATHEMATICS PAPERS. Contents. Questionwise Pagination. 2. Paper 1. 3. Paper 2. 43. Concluding Remarks. 81 ...
  89. [PDF] 

    Introduction to Algebraic Topology by P. Sankaran

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    by P Sankaran - Related articles
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