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Tuesday, May 12, 2020 | History

3 edition of Lectures on modular functions of one complex variable found in the catalog.

Lectures on modular functions of one complex variable

H. Maass

Lectures on modular functions of one complex variable

by H. Maass

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  • 33 Currently reading

Published by Springer, for the Tata Institute of Fundamental Research in Berlin .
Written in English


Edition Notes

Statementby H. Maass ; notes by Sunder Lal.
ContributionsLal, Sunder., Tata Institute of Fundamental Research.
ID Numbers
Open LibraryOL21340809M
ISBN 100387128743

Lectures on The Theory of Functions of Several Complex Variables By B. Malgrange Tata Institute of Fundamental Research Bombay (Reissued ) Lectures on The Theory of Functions of Several Complex Variables By B. Malgrange Notes by Raghavan Narasimhan Distributed for the functions of one complex variable gives f. Study Guide for Lecture 2: Functions of a Complex Variable. Chalkboard Photos, Reading Assignments, and Exercises ()Solutions (PDF - MB)To complete the reading assignments, see the Supplementary Notes in the Study Materials section.

They are based on introductory lectures given at Stony Brook during the Fall Term of These lectures are intended to introduce the reader to some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry.   Dynamics in One Complex Variable: Introductory Lectures by John Milnor; Functions of One Complex Variable II,John B. Conway. Modular Functions and Dirichlet Series in Number Theory,Tom M Author: Kevin de Asis.

  I hugely like this one, Complex Analysis (Princeton Lectures in Analysis, No. 2): Elias M. Stein, Rami Shakarchi: : Books Its not just an exceptionally good complex analysis book but it also provides a soft start towards. arXiv:math-ph/v2 3 Jan LECTURES ON ELLIPTIC FUNCTIONS AND MODULAR FORMS IN CONFORMAL FIELD THEORY Nikolay M. Nikolov 1,a and Ivan T. Todorov,2,b 1 Institute for Nuclear Research and Nuclear Energy, Tsarigradsko Chaus .


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Lectures on modular functions of one complex variable by H. Maass Download PDF EPUB FB2

These are notes of lectures which I gave at the Tata Institute of Funda-mental Research in / They provide an introduction to the theory of modular functions and modular forms and may be described as el-ementary, in as much as basic facts from the theory of functions of a complex variable and some properties of the elementary transcenden-File Size: 1MB.

Lectures on modular functions of one complex variable. Berlin ; New York: Springer-Verlag, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Hans Maass; Sunder Lal.

Additional Physical Format: Online version: Maass, Hans. Lectures on modular functions of one complex variable. Berlin ; New York: Springer-Verlag, [Bombay Joshi]. Lectures on Modular Forms (Dover Books on Mathematics) Paperback – Prerequisites include a grasp of the elements of complex variable theory, group theory, and number theory.

that time the library had the older of their publications, and I disliked the fonts) Now I like them usually. For one, they usually cost a lot less 5/5(3).

Functions of a complex variable. This book is designed for students who, having acquired a good working knowledge of the calculus, desire to become acquainted with the theory of functions of a complex variable, and with the principal applications of that us examples have been given throughout the book, and there is also a set of Miscellaneous Examples, arranged.

Lectures on the Theory of Functions of a Complex Variable [Sidorov, Yu. V., M. Fedoryuk, and M. Shabunin] on *FREE* shipping on Lectures on modular functions of one complex variable book offers.

Lectures on the Theory of Functions of a Complex VariableAuthor: and M. Shabunin Sidorov, Yu. V., M. Fedoryuk. In this post we will see the book Lectures on the Theory of Functions of a Complex Variable by Yu.

Sidorov, M. Fedoryuk, M. Shabunin. About the book. This book is based on more than ten years experience in teaching the theory of functions of a complex variable at the Moscow Physics and Technology Institute.

This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments.

The actual pre requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives/5(4). Prerequisites for use of this book are functions of one complex variable, functions of several real variables, and topology, all at the undergraduate level.

Lectures on Several Complex Variables will be of interest to advanced undergraduate and beginning undergraduate students, as well as mathematical researchers and professors.

Lectures on the theory of functions of a complex variable, Volume 1 Lectures on the Theory of Functions of a Complex Variable, Johan Gerretsen: Authors: Giovanni Sansone, Johan Gerretsen: Publisher: P.

Noordhoff, Original from: the University of Michigan: Digitized: Feb 4, Length: pages: Subjects: Functions of complex variables. Starting with the work of Gauss, Abel, and Jacobi, the book then discusses the attempt by Dedekind to construct a theory of modular functions independent of elliptic functions.

The latter part of the book explains how Hurwitz completed this task and includes one of Hurwitz's landmark papers, translated by the author, and delves into the work of Cited by: 9.

This book is based on a series of lectures on “The Constructive Theory of Functions of a Complex Variable,” given at the Leningrad University by Professor V. Smirnov and later by Dr. Lebedev. Professor Smirnov is a full member of the U.S.S.R. Academy of sciences and author of numerous books and papers on advanced mathematics.

Both men are distinguished. Functions of One Complex Variable Todd Kapitula Department of Mathematics and Statistics Calvin College Janu Contents 1. Fundamental Concepts 3 Book Description: New interest in modular forms of one complex variable has been caused chiefly by the work of Selberg and of Eichler.

But there has been no introductory work covering the background of these developments. Math - Theory of Functions of a Complex Variable II, Spring Math constitutes the second half of the Complex Analysis qualifier sequence (Math, Math).

More information on qualifiers, including old exams. time/location: TR -BLOC instructor: Emil Straube, BLOC M, [email protected] office hours: TR. Complex Analysis has successfully maintained its place as the standard elementary text on functions of one complex variable.

There is, never­ theless, need for a new edition, partly because of changes in current mathe­ matical terminology, partly because of differences in student preparedness and aims. This is the sequel to my book Functions of One Complex Variable I, and probably a good opportunity to express my appreciation to the mathemat­ ical community for its reception of that work.

In retrospect, writing that book was a crazy venture. Derivatives and integrals of complex functions w(t) We examine complex functions of a real variable w(t) and show how to take derivatives and integrals.

Lecture 25 Play Video: Contours and arc length in the complex plane We define the basic terminology for contours in the plane as well as define the integral that computes the arc length of. 1 Introduction The study of modular forms is typically reserved for graduate students, because the amount of background needed to fully appreciate many of the constructions and methods is rather large.

However, it is possible to get a rst look at modular forms without relying too heavily on the theory of complex analysis, harmonic analysis,File Size: KB. FUNCTION THEORY OF ONE COMPLEX VARIABLE ROBERT E. GREENE University of California, Los Angeles Differentiability Properties of Holomorphic Functions, 71 Complex Power Series, 76 The Power Series Expansion for a Holomorphic Function, 83 The Elliptic Modular Function and Picard's Theorem, Elliptic Functions.

Functions Of A Complex Variable by Phillips,E.G. Publication date Topics NATURAL SCIENCES, Mathematics, Fundamental and general consideration of mathematics Publisher Oliver And Boyd. Collection universallibrary Contributor Osmania University Language English.

Addeddate Call number.those functions f which can be represented locally as such a power series.3 As we will see below, one characteristic property of such functions is analyticity. Definition Let D ⊂ C be open, f: D → C, z = x +iy, f = u+iv.

a) f is complex differentiable in a ∈ D if limz→a f(z)−f(a) z−a exists for each sequence z in D \{a.In mathematics, a modular form is a (complex) analytic function on the upper half-plane satisfying a certain kind of functional equation with respect to the group action of the modular group, and also satisfying a growth theory of modular forms therefore belongs to complex analysis but the main importance of the theory has traditionally been in its connections with .