Chandrasekharan, K. (Komaravolu) 1920
Overview
Works:  65 works in 395 publications in 4 languages and 5,749 library holdings 

Genres:  Biography Conference papers and proceedings Criticism, interpretation, etc History 
Roles:  Author, Editor, Author of introduction, Other, Translator, Contributor 
Classifications:  QA3, 512.81 
Publication Timeline
.
Most widely held works by
K Chandrasekharan
Introduction to analytic number theory by
K Chandrasekharan(
Book
)
63 editions published between 1966 and 2012 in 5 languages and held by 1,058 WorldCat member libraries worldwide
This book has grown out of a course of lectures I have given at the Eidgenossische Technische Hochschule, Zurich. Notes of those lectures, prepared for the most part by assistants, have appeared in German. This book follows the same general plan as those notes, though in style, and in text (for instance, Chapters III, V, VIII), and in attention to detail, it is rather different. Its purpose is to introduce the nonspecialist to some of the fundamental results in the theory of numbers, to show how analytical methods of proof fit into the theory, and to prepare the ground for a subsequent inquiry into deeper questions. It is pub lished in this series because of the interest evinced by Professor Beno Eckmann. I have to acknowledge my indebtedness to Professor Carl Ludwig Siegel, who has read the book, both in manuscript and in print, and made a number of valuable criticisms and suggestions. Professor Raghavan Narasimhan has helped me, time and again, with illuminating comments. Dr. Harold Diamond has read the proofs, and helped me to remove obscurities. I have to thank them all. K.C
63 editions published between 1966 and 2012 in 5 languages and held by 1,058 WorldCat member libraries worldwide
This book has grown out of a course of lectures I have given at the Eidgenossische Technische Hochschule, Zurich. Notes of those lectures, prepared for the most part by assistants, have appeared in German. This book follows the same general plan as those notes, though in style, and in text (for instance, Chapters III, V, VIII), and in attention to detail, it is rather different. Its purpose is to introduce the nonspecialist to some of the fundamental results in the theory of numbers, to show how analytical methods of proof fit into the theory, and to prepare the ground for a subsequent inquiry into deeper questions. It is pub lished in this series because of the interest evinced by Professor Beno Eckmann. I have to acknowledge my indebtedness to Professor Carl Ludwig Siegel, who has read the book, both in manuscript and in print, and made a number of valuable criticisms and suggestions. Professor Raghavan Narasimhan has helped me, time and again, with illuminating comments. Dr. Harold Diamond has read the proofs, and helped me to remove obscurities. I have to thank them all. K.C
Arithmetical functions by
K Chandrasekharan(
Book
)
30 editions published between 1970 and 2014 in 4 languages and held by 579 WorldCat member libraries worldwide
The plan of this book had its inception in a course of lectures on arithmetical functions given by me in the summer of 1964 at the Forschungsinstitut fUr Mathematik of the Swiss Federal Institute of Technology, Zurich, at the invitation of Professor Beno Eckmann. My Introduction to Analytic Number Theory has appeared in the meanwhile, and this book may be looked upon as a sequel. It presupposes only a modicum of acquaintance with analysis and number theory. The arithmetical functions considered here are those associated with the distribution of prime numbers, as well as the partition function and the divisor function. Some of the problems posed by their asymptotic behaviour form the theme. They afford a glimpse of the variety of analytical methods used in the theory, and of the variety of problems that await solution. I owe a debt of gratitude to Professor Carl Ludwig Siegel, who has read the book in manuscript and given me the benefit of his criticism. I have improved the text in several places in response to his comments. I must thank Professor Raghavan Narasimhan for many stimulating discussions, and Mr. Henri Joris for the valuable assistance he has given me in checking the manuscript and correcting the proofs. K. Chandrasekharan July 1970 Contents Chapter I The prime number theorem and Selberg's method ʹ 1. Selberg's fonnula ... 1 ʹ 2. A variant of Selberg's formula 6 12 ʹ 3. Wirsing's inequality ... 17 ʹ 4. The prime number theorem
30 editions published between 1970 and 2014 in 4 languages and held by 579 WorldCat member libraries worldwide
The plan of this book had its inception in a course of lectures on arithmetical functions given by me in the summer of 1964 at the Forschungsinstitut fUr Mathematik of the Swiss Federal Institute of Technology, Zurich, at the invitation of Professor Beno Eckmann. My Introduction to Analytic Number Theory has appeared in the meanwhile, and this book may be looked upon as a sequel. It presupposes only a modicum of acquaintance with analysis and number theory. The arithmetical functions considered here are those associated with the distribution of prime numbers, as well as the partition function and the divisor function. Some of the problems posed by their asymptotic behaviour form the theme. They afford a glimpse of the variety of analytical methods used in the theory, and of the variety of problems that await solution. I owe a debt of gratitude to Professor Carl Ludwig Siegel, who has read the book in manuscript and given me the benefit of his criticism. I have improved the text in several places in response to his comments. I must thank Professor Raghavan Narasimhan for many stimulating discussions, and Mr. Henri Joris for the valuable assistance he has given me in checking the manuscript and correcting the proofs. K. Chandrasekharan July 1970 Contents Chapter I The prime number theorem and Selberg's method ʹ 1. Selberg's fonnula ... 1 ʹ 2. A variant of Selberg's formula 6 12 ʹ 3. Wirsing's inequality ... 17 ʹ 4. The prime number theorem
Fourier transforms by
S Bochner(
Book
)
33 editions published between 1949 and 2016 in English and Undetermined and held by 543 WorldCat member libraries worldwide
The book description for the forthcoming "Fourier Transforms. (AM19)" is not yet available
33 editions published between 1949 and 2016 in English and Undetermined and held by 543 WorldCat member libraries worldwide
The book description for the forthcoming "Fourier Transforms. (AM19)" is not yet available
Elliptic functions by
K Chandrasekharan(
Book
)
17 editions published between 1985 and 2012 in 3 languages and held by 531 WorldCat member libraries worldwide
This book has grown out of a course of lectures on elliptic functions, given in German, at the Swiss Federal Institute of Technology, Zurich, during the summer semester of 1982. Its aim is to give some idea of the theory of elliptic functions, and of its close connexion with thetafunctions and modular functions, and to show how it provides an analytic approach to the solution of some classical problems in the theory of numbers. It comprises eleven chapters. The first seven are functiontheoretic, and the next four concern arithmetical applications. There are Notes at the end of every chapter, which contain references to the literature, comments on the text, and on the ramifications, old and new, of the problems dealt with, some of them extending into cognate fields. The treatment is selfcontained, and makes no special demand on the reader's knowledge beyond the elements of complex analysis in one variable, and of group theory
17 editions published between 1985 and 2012 in 3 languages and held by 531 WorldCat member libraries worldwide
This book has grown out of a course of lectures on elliptic functions, given in German, at the Swiss Federal Institute of Technology, Zurich, during the summer semester of 1982. Its aim is to give some idea of the theory of elliptic functions, and of its close connexion with thetafunctions and modular functions, and to show how it provides an analytic approach to the solution of some classical problems in the theory of numbers. It comprises eleven chapters. The first seven are functiontheoretic, and the next four concern arithmetical applications. There are Notes at the end of every chapter, which contain references to the literature, comments on the text, and on the ramifications, old and new, of the problems dealt with, some of them extending into cognate fields. The treatment is selfcontained, and makes no special demand on the reader's knowledge beyond the elements of complex analysis in one variable, and of group theory
Gesammelte Abhandlungen by
H Minkowski(
Book
)
48 editions published between 1966 and 2016 in 3 languages and held by 489 WorldCat member libraries worldwide
Der Plan einer Herausgabe meiner Abhandlungen ist durch die Groß zügigkeit von FERDINAND SPRINGER verwirklicht worden. Ihm und meinem Freunde RICHARD COURANT bin ich wegen ihrer stets bereiten, durch Rat und Tat wirksamen Hilfe zu größtem Dank verpflichtet. Die wissenschaftliche Arbeit bei der Herausgabe hat nicht nur äußerste Sorgfalt, sondern auch feinstes Verständnis erfordert und konnte daher nur geleistet werden von Gelehrten, die durch gründliche Studien in den dabei behandelten Fächern dazu vorbereitet sind. Diese Aufgabe ist für den vor liegenden ersten Band, der insbesondere meinen
48 editions published between 1966 and 2016 in 3 languages and held by 489 WorldCat member libraries worldwide
Der Plan einer Herausgabe meiner Abhandlungen ist durch die Groß zügigkeit von FERDINAND SPRINGER verwirklicht worden. Ihm und meinem Freunde RICHARD COURANT bin ich wegen ihrer stets bereiten, durch Rat und Tat wirksamen Hilfe zu größtem Dank verpflichtet. Die wissenschaftliche Arbeit bei der Herausgabe hat nicht nur äußerste Sorgfalt, sondern auch feinstes Verständnis erfordert und konnte daher nur geleistet werden von Gelehrten, die durch gründliche Studien in den dabei behandelten Fächern dazu vorbereitet sind. Diese Aufgabe ist für den vor liegenden ersten Band, der insbesondere meinen
Lectures on the geometry of numbers by
C. L Siegel(
Book
)
1 edition published in 1989 in English and held by 474 WorldCat member libraries worldwide
Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 194546, when there were hardly any books on the subject other than Minkowski's original one. This volume stems from Siegel's requirements of accuracy in detail, both in the text and in the illustrations, but involving no changes in the structure and style of the lectures as originally delivered. This book is an enticing introduction to Minkowski's great work. It also reveals the workings of a remarkable mind, such as Siegel's with its precision and power and aesthetic charm. It is of interest to the aspiring as well as the established mathematician, with its unique blend of arithmetic, algebra, geometry, and analysis, and its easy readability
1 edition published in 1989 in English and held by 474 WorldCat member libraries worldwide
Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 194546, when there were hardly any books on the subject other than Minkowski's original one. This volume stems from Siegel's requirements of accuracy in detail, both in the text and in the illustrations, but involving no changes in the structure and style of the lectures as originally delivered. This book is an enticing introduction to Minkowski's great work. It also reveals the workings of a remarkable mind, such as Siegel's with its precision and power and aesthetic charm. It is of interest to the aspiring as well as the established mathematician, with its unique blend of arithmetic, algebra, geometry, and analysis, and its easy readability
Classical Fourier transforms by
K Chandrasekharan(
Book
)
15 editions published in 1989 in English and held by 438 WorldCat member libraries worldwide
This book gives a thorough introduction on classical Fourier transforms in a compact and selfcontained form. Chapter I is devoted to the L1theory: basic properties are proved as well as the Poisson summation formula, the central limit theorem and Wiener's general tauberian theorem. As an illustraiton of a Fourier transformation of a function not belonging to L1 ( ,) an integral due to Ramanujan is given. Chapter II is devoted to the L2theory, including Plancherel's theorem, Heisenberg's inequality, the PaleyWiener theorem, Hardy's interpolation formula and two inequalities due to Bernstein. Chapter III deals with FourierStieltjes transforms. After the basic properties are explained, distribution functions, positivedefinite functions and the uniqueness theorem of Offord are treated. The book is intended for undergraduate students and requires of them basic knowledge in real and complex analysis
15 editions published in 1989 in English and held by 438 WorldCat member libraries worldwide
This book gives a thorough introduction on classical Fourier transforms in a compact and selfcontained form. Chapter I is devoted to the L1theory: basic properties are proved as well as the Poisson summation formula, the central limit theorem and Wiener's general tauberian theorem. As an illustraiton of a Fourier transformation of a function not belonging to L1 ( ,) an integral due to Ramanujan is given. Chapter II is devoted to the L2theory, including Plancherel's theorem, Heisenberg's inequality, the PaleyWiener theorem, Hardy's interpolation formula and two inequalities due to Bernstein. Chapter III deals with FourierStieltjes transforms. After the basic properties are explained, distribution functions, positivedefinite functions and the uniqueness theorem of Offord are treated. The book is intended for undergraduate students and requires of them basic knowledge in real and complex analysis
Hermann Weyl, 18851985 : centenary lectures by
Chen Ning Yang(
Book
)
19 editions published between 1968 and 1986 in 3 languages and held by 382 WorldCat member libraries worldwide
19 editions published between 1968 and 1986 in 3 languages and held by 382 WorldCat member libraries worldwide
Typical means by
K Chandrasekharan(
Book
)
12 editions published in 1952 in English and held by 201 WorldCat member libraries worldwide
12 editions published in 1952 in English and held by 201 WorldCat member libraries worldwide
Lectures on the Riemann zetafunction by
K Chandrasekharan(
Book
)
15 editions published between 1953 and 1962 in English and held by 103 WorldCat member libraries worldwide
15 editions published between 1953 and 1962 in English and held by 103 WorldCat member libraries worldwide
Riemanns geometrische Ideen, ihre Auswirkung und ihre Verknüpfung mit der Gruppentheorie by
Hermann Weyl(
Book
)
9 editions published in 1988 in German and English and held by 96 WorldCat member libraries worldwide
Ganz in Hermann Weyls bekannt klarer Darstellung geschrieben, gibt dieser Beitrag einen Bericht über die Entstehung der grundlegenden Ideen, die der modernen Geometrie zugrunde liegen. Diese Schrift spiegelt in einzigartiger Weise Weyls mathematische Persönlichkeit wider. Sie richtet sich an alle, die sich mit Fragen der Topologiegruppentheorie, Differentialgeometrie und mathematischer Physik beschäftigen. From the foreword of the editor K. Chandrasekharan: "Written in Weyl's finest style, while he was rising forty, the article is an authentic report on the genesis and evolution of those fundamental ideas that underlie the modern conception of geometry. Part I is on the continuum, and deals with analysis situs, imbeddings, and coverings. Part II is on structure, and deals with infinitesimal geometry in its many aspects, metric, conformal, affine, and projective; with the question of homogeneity, homogeneous spaces from the grouptheoretical standpoint, the role of the metric field theories in physics, and the related problems of group theory. It is hoped that this article will be of interest to all those concerned with the growth and development of topology, group theory, differential geometry, geometric function theory, and mathematical physics. It bears the unmistakable imprint of Weyl's mathematical personality, and of his remarkable capacity to capture and delineate the transmutation of some of the nascent into the dominant ideas of the mathematics of our time."
9 editions published in 1988 in German and English and held by 96 WorldCat member libraries worldwide
Ganz in Hermann Weyls bekannt klarer Darstellung geschrieben, gibt dieser Beitrag einen Bericht über die Entstehung der grundlegenden Ideen, die der modernen Geometrie zugrunde liegen. Diese Schrift spiegelt in einzigartiger Weise Weyls mathematische Persönlichkeit wider. Sie richtet sich an alle, die sich mit Fragen der Topologiegruppentheorie, Differentialgeometrie und mathematischer Physik beschäftigen. From the foreword of the editor K. Chandrasekharan: "Written in Weyl's finest style, while he was rising forty, the article is an authentic report on the genesis and evolution of those fundamental ideas that underlie the modern conception of geometry. Part I is on the continuum, and deals with analysis situs, imbeddings, and coverings. Part II is on structure, and deals with infinitesimal geometry in its many aspects, metric, conformal, affine, and projective; with the question of homogeneity, homogeneous spaces from the grouptheoretical standpoint, the role of the metric field theories in physics, and the related problems of group theory. It is hoped that this article will be of interest to all those concerned with the growth and development of topology, group theory, differential geometry, geometric function theory, and mathematical physics. It bears the unmistakable imprint of Weyl's mathematical personality, and of his remarkable capacity to capture and delineate the transmutation of some of the nascent into the dominant ideas of the mathematics of our time."
A course on topological groups by
K Chandrasekharan(
Book
)
10 editions published between 1996 and 2011 in English and held by 66 WorldCat member libraries worldwide
10 editions published between 1996 and 2011 in English and held by 66 WorldCat member libraries worldwide
Library science in India : silver jubilee volume presented to the Madras library Association by
K Chandrasekharan(
Book
)
8 editions published in 1953 in English and Undetermined and held by 62 WorldCat member libraries worldwide
8 editions published in 1953 in English and Undetermined and held by 62 WorldCat member libraries worldwide
Gesammelte Abhandlungen by
Hermann Weyl(
Book
)
14 editions published between 1968 and 2014 in German and held by 42 WorldCat member libraries worldwide
14 editions published between 1968 and 2014 in German and held by 42 WorldCat member libraries worldwide
Gesammelte abhandlungen by
Paul de Lagarde(
Book
)
10 editions published between 1966 and 1979 in 3 languages and held by 31 WorldCat member libraries worldwide
10 editions published between 1966 and 1979 in 3 languages and held by 31 WorldCat member libraries worldwide
Gesammelte Abhandlungen by
Hermann Weyl(
Book
)
9 editions published between 1968 and 2014 in German and English and held by 29 WorldCat member libraries worldwide
9 editions published between 1968 and 2014 in German and English and held by 29 WorldCat member libraries worldwide
Report by International Colloquium on Zetafunctions(
Book
)
2 editions published in 1956 in English and held by 22 WorldCat member libraries worldwide
2 editions published in 1956 in English and held by 22 WorldCat member libraries worldwide
Report of an International Colloquium on Zetafunctions held at the Tata Institute of Fundamental Research, Bombay, on 1421
February 1956 by
K Chandrasekharan(
Book
)
7 editions published in 1956 in English and held by 20 WorldCat member libraries worldwide
7 editions published in 1956 in English and held by 20 WorldCat member libraries worldwide
Gesammelte Abhandlungen by
C. L Siegel(
Book
)
2 editions published in 1966 in German and held by 19 WorldCat member libraries worldwide
2 editions published in 1966 in German and held by 19 WorldCat member libraries worldwide
Fourier Transforms. (AM19) by
S Bochner(
)
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
The book description for the forthcoming "Fourier Transforms. (AM19)" is not yet available
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
The book description for the forthcoming "Fourier Transforms. (AM19)" is not yet available
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Related Identities
 Weyl, Hermann 18851955 Honoree Author
 Siegel, C. L. (Carl Ludwig) 18961981 Author
 Bochner, S. (Salomon) 18991982 Author
 Suter, Rudolf 1920
 Eidgenössische Technische Hochschule Zürich Publisher Editor
 Yang, Chen Ning 1922 Author Contributor
 Borel, Armand Contributor
 Penrose, Roger Contributor
 Minakshisundaram, S.
 Maass, Hans Editor
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Associated Subjects
Arithmetic functions Bible Bible.Proverbs Differential equationsNumerical solutions Distribution (Probability theory) Elliptic functions Forms, Quadratic Fourier series Fourier transformations Functions, Special Functions, Zeta Geometry Geometry, Riemannian Geometry of numbers Germany Global differential geometry Group theory India Library science Mathematical analysis Mathematical physics Mathematicians Mathematics Middle Eastern philology Numbers, Prime Number theory Oriental languages Oriental philology Persian language Persian philology Physics Semitic philology Series Siegel, C. L.(Carl Ludwig), Threebody problem Topological groups Weyl, Hermann,
Alternative Names
Čandrasekcharan, K. 1920
Čandrasekharan, K.
Chandrasekharan, K.
Chandrasekharan, K. 1920
Chandrasekharan, K. 19202017
Chandrasekharan, K. (Komaravolu)
Chandrasekharan, K. S.
Chandrasekharan, Komaravolu
Chandrasekharan, Komaravolu 1920
K. Chandrasekharan
K. Chandrasekharan indischer Mathematiker
K. S. Chandrasekharan Indiaas wiskundige
K. S. Chandrasekharan indisk matematikar
K. S. Chandrasekharan indisk matematiker
Komaravolu Chandrasekharan
Komaravolu Chandrasekharan 1920
Чандрасекхаран, К..
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