Lectures on Mathematics

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  • The lecture notes being made available for download in this series have been retypeset and proof read once. However, it is quite possible that some errors still remain. Please mail any errata you note to publ @ math.tifr.res.in Acknowledgements of corrections will be made.
  • Original page numbers are given in the margins.
  • Volumes 87--92 are available from Narosa Publishing Company in India and neighboring countries and from the American Mathematical Society in North America.

S.N Title Author Distribution in India and Neighboring Countries Distribution outside India
1 On the Riemann Zeta-Function K. Chandrasekharan TIFR TIFR
2 On Analytic Number Theory H. Rademacher TIFR TIFR
3 On Siegel's Modular Functions H. Maass TIFR TIFR
4 On Complex Analytic Manifolds L. Schwartz TIFR TIFR
5 On the Algebraic theory of Fields K.G. Ramanathan TIFR TIFR
6 On Sheaf Theory C.H. Dowker TIFR TIFR
7 On Quadratic Forms C.L. Siegel TIFR TIFR
8 On Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations K. Yosida TIFR TIFR
9 On Modular Correspondences M. Eichler TIFR TIFR
10 On Elliptic Partial Differential Equations J.L. Lions TIFR TIFR
11 On Mixed Problems in Partial Differential Equations and Representations of Semi-groups L. Schwartz TIFR TIFR
12 On Measure Theory and Probability H.R. Pitt TIFR TIFR
13 On the Theory of Functions of Several Complex Variables B. Malgrange NPH
14 On Lie Groups and Representations of Locally Compact Groups F. Bruhat TIFR TIFR
15 On Mean Periodic Functions J.P. Kahane TIFR TIFR
16 On Approximation by Polynomials J.C. Burkill TIFR TIFR
17 On Meromorphic Functions W.K. Hayman TIFR TIFR
18 On the Theory of Algebraic Functions of One Variable M. Deuring TIFR TIFR
19 On Potential Theory M. Brelot TIFR TIFR
20 On Fibre Bundles and Differential Geometry J.L. Koszul TIFR TIFR
21 On Topics in the Theory of Infinite Groups B.H. Neumann TIFR TIFR
22 On Topics in Mean Periodic Functions and the Two-Radius Theorem J. Delsarte TIFR TIFR
23 On Advanced Analytic Number Theory C.L. Siegel TIFR TIFR
24 On Stochastic Processes K. Ito NPH
25 On Exterior Differential Systems M. Kuranishi TIFR TIFR
26 On Some Fixed Point Theorems of Functional Analysis F.F. Bonsall TIFR TIFR
27 On Some Aspects of p-adic Analysis F. Bruhat TIFR TIFR
28 On Riemann Matrices C.L. Siegel TIFR TIFR
29 On Modular Functions of One Complex Variable H. Maass NPH
30 On Unique Factorization Domains P. Samuel TIFR TIFR
31 On the Fourteenth Problem of Hilbert M. Nagata TIFR TIFR
32 On Groups of Transformations J.L. Koszul TIFR TIFR
33 On Geodesics in Riemannian Geometry M. Berger TIFR TIFR
34 On Topics in Analysis Raghavan Narasimhan TIFR TIFR
35 On Cauchy Problem S. Mizohata TIFR TIFR
36 On Old and New Results on Algebraic Curves P. Samuel TIFR TIFR
37 On Minimal Models and Birational Transformations of Two Dimensional Schemes I.R. Shafarevich TIFR TIFR
38 On Stratification of Complex Analytic Sets M.H. Schwartz TIFR TIFR
39 On Levi Convexity of Complex Manifolds and Cohomology Vanishing Theorems E. Vesentini TIFR TIFR
40 On an Introduction to Grothendieck's Theory of the Fundamental Group J.P. Murre TIFR TIFR
41 On Topics in Algebraic K-Theory H. Bass TIFR TIFR
42 On the Singularities of the Three-Body Problem C.L. Siegel TIFR TIFR
43 On Polyhedral Topology J.R. Stallings TIFR TIFR
44 On Introduction to Algebraic Topology G. de Rham TIFR TIFR
45 On Quadratic Jordan Algebras N. Jacobson TIFR TIFR
46 On the Theorem of Browder and Novikov and Siebenmann's Thesis M.A. Kervaire TIFR TIFR
47 On Galois Cohomology of Classical Groups M. Kneser TIFR TIFR
48 On Discrete Subgroups of Lie Groups G.D. Mostow TIFR TIFR
49 On the Finite Element Method Ph. Ciarlet TIFR TIFR
50 On Disintegration of Measures L. Schwartz TIFR TIFR
51 On Introduction to Moduli Problems and Orbit Spaces P.E. Newstead NPH
52 On Numerical Methods for Time Dependent Equations -- Applications to Fluid Flow Problems P. Lascaux TIFR TIFR
53 On Optimisation - Theory and Algorithms J. Cea NPH
54 On Deformations of Singularities M. Artin TIFR TIFR
55 On Sieve Methods H.E. Richert TIFR TIFR
56 On Irregularities of Distribution W.M. Schmidt TIFR TIFR
57 On Expansion Techniques in Algebraic Geometry S.S. Abhyankar NPH TIFR
58 On Torus Embeddings and Applications T. Oda NPH
59 On Forms of Higher Degree J.I. Igusa NPH
60 On Curves on Rational and Unirational Surfaces M. Miyanishi NPH
61 On Wave Propagation G.B. Whitham NPH
62 On Equations Defining Space Curves L. Szpiro NPH
63 On Topics in Finite Element Solution of Elliptic Problems B. Mercier NPH
64 On Diffusion Problems and Partial Differential Equations S.R.S. Varadhan NPH
65 On Numerical Methods for Non-Linear Variational Problems R. Glowinski NPH
66 On Representations of Complex Semi-simple Lie Groups T.J. Enright NPH
67 On Nonlinear Waves and Shocks C.S. Morawetz NPH
68 On Topics in Stochastic Differential Equations D.W. Stroock NPH
69 On Moduli of Curves D. Gieseker NPH
70 On Partial Differential Equations G.B. Folland NPH
71 On Three-dimensional Elasticity P.G. Ciarlet NPH
72 On Sieve Methods and Prime Number Theory Y. Motohashi NPH
73 On Stochastic Differential Equations and Malliavin Calculus S. Watanabe NPH
74 On Results on Bezout's Theorem W. Vogel NPH
75 On Stochastic Control and Nonlinear Filtering M.H.A. Davis NPH
76 On Topics in One-Parameter Bifurcation Problems P. Rabier NPH
77 On Siegel Modular Forms and Representation by Quadratic Forms Y. Kitaoka NPH
78 On Stochastic Flows and Applications H. Kunita NPH
79 On Numerical Methods in Bifurcation Problems H.B. Keller NPH
80 On a Method in the Theory of Exponential Sums M. Jutila NPH
81 On the Ekeland Variational Principle with Applications and Detours D.G. de Figueiredo NPH
82 On Mean Values of the Riemann Zeta Function A. Ivic NPH
83 On Cyclic Homology D. Husemoller NPH
84 On Frobenius Splittings and B-Modules Wilberd van der Kallen NPH
85 On the Mean-Value and Omega Theorems for the Riemann Zeta-Function K. Ramachandra NPH
86 Surgical Methods in Rigidity F.T. Farrell NPH
87 Topics in Products of Random Matrices A. Mukherjea NPH AMS
88 Galois Cohomology of Elliptic Curves J. Coates and R. Sujatha NPH AMS
89 Quantum Computation, Quantum Error Correcting Codes and Information Theory K.R. Parthasarathy NPH AMS
90 Algebraic Independence Yu. V. Nesterenko NPH AMS
91 Galois Cohomology of Elliptic Curves, 2nd Edition J. Coates and R. Sujatha NPH AMS
92 Motivic Aspects of Hodge Theory Chris Peters NPH AMS