Free Analysis & Calculus ebooks. Categorized directory of free Analysis & Calculus books. Read online or download free ebooks in different formats.
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40
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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. ...
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21
Ebook Details
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.
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15
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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.
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19
Ebook Details
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...
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18
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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17
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
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18
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Category
Author
Richard B. Melrose, Gunther Uhlmann
Publisher
MIT 2008
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.
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24
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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19
Ebook Details
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. ...
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15
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.