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Lectures on Modular Functions of One Complex Variable by H. Maass
 
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Ebooks May 30, 2022 12

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Author
H. Maass
Publisher
Tata institute of Fundamental Research 1983
The book provides an introduction to the theory of modular functions and modular forms and may be described as elementary, in as much as basic facts from the theory of functions of a complex variable and some properties of the elementary transcendental functions form the only prerequisites. ...
Real Analysis for Graduate Students: Measure and Integration Theory by Richard F. Bass
 
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Ebooks May 30, 2022 2

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Author
Richard F. Bass
Publisher
CreateSpace 2011
Nearly every Ph.D. student in mathematics needs to take a preliminary or qualifying examination in real analysis. This book provides the necessary tools to pass such an examination. Every effort was made to present the material in as clear a fashion as possible.
Lectures on Riemann Matrices by C.L. Siegel
 
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Ebooks May 30, 2022 3

Ebook Details

Author
C.L. Siegel
Publisher
Tata Institute of Fundamental Research 1963
In this course of lectures, we shall be concerned with a systematic study of Riemann matrices which arise in a natural way from the theory of abelian functions.
Lectures On Some Fixed Point Theorems Of Functional Analysis by F.F. Bonsall
 
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Ebooks May 30, 2022 2

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Author
F.F. Bonsall
Publisher
Tata Institute Of Fundamental Research 1962
The book is concerned with the application of a variety of methods to both non-linear (fixed point) problems and linear (eigenvalue) problems in infinite dimensional spaces. A wide choice of techniques is available for linear problems, and I have usually chosen to use those that give something more than...
An Introductory Single Variable Real Analysis by Marcel B. Finan
 
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Ebooks May 30, 2022 3

Ebook Details

Author
Marcel B. Finan
Publisher
Arkansas Tech University 2009
The present manuscript is designed for an introductory course in real analysis suitable to upper sophomore or junior level students who already had the calculus sequel as well as a course in discrete mathematics or an equivalent course in mathematical proof. The content is considered a moderate level of...
 
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Ebooks May 29, 2022 3

Ebook Details

Author
Marco Squassina
Publisher
Electronic Journal of Differential Equations 2006
The aim of this monograph is to present a comprehensive survey of results about existence, multiplicity, perturbation from symmetry and concentration
An Introduction to Microlocal Analysis by Richard B. Melrose, Gunther Uhlmann
 
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Ebooks May 29, 2022 4
One of the origins of scattering theory is the study of quantum mechanical systems, generally involving potentials. The scattering theory for perturbations of the flat Laplacian is discussed with the initial approach being via the solution of the Cauchy problem for the corresponding perturbed wave equation.
Techniques of Applied Mathematics by Andrew Fowler
 
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Ebooks May 29, 2022 4

Ebook Details

Author
Andrew Fowler
Publisher
University of Oxford 2005
This course develops mathematical techniques which are useful in solving 'real-world' problems involving differential equations, and is a development of ideas which arise in the second year differential equations course. The course embraces the ethos of mathematical modelling, and aims to show in a practical way how equations 'work',...
 
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Ebooks May 29, 2022 2

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Author
Ville Turunen
Publisher
Aalto TKK 2008
In this book you will learn something about functional analytic framework of topology. And you will get an access to more advanced literature on non-commutative geometry, a quite recent topic in mathematics and mathematical physics. The prerequisite for this course is some elementary understanding of Banach spaces. ...
Lectures on Topics in Mean Periodic Functions and the Two-Radius Theorem by J. Delsarte
 
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Ebooks May 29, 2022 2

Ebook Details

Author
J. Delsarte
Publisher
Tata Institute of Fundamental Research 1961
Subjects treated: transmutations of singular differential operators of the second order in the real case; new results on the theory of mean periodic functions; proof of the two-radius theorem, which is the converse of Gauss's classical theorem on the spherical mean for harmonic functions.
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