Research Schools On Number Theory In India

Research Schools On Number Theory In India Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Research Schools On Number Theory In India book. This book definitely worth reading, it is an incredibly well-written.

Research Schools on Number Theory in India

Purabi Mukherji
Research Schools on Number Theory in India Book PDF

Author : Purabi Mukherji
Publisher : Springer Nature
Page : 187 pages
File Size : 48,9 Mb
Release : 2021-01-05
Category : Mathematics
ISBN : 9789811596209

Get Book

Research Schools on Number Theory in India by Purabi Mukherji Pdf

This book is an attempt to describe the gradual development of the major schools of research on number theory in South India, Punjab, Mumbai, Bengal, and Bihar—including the establishment of Tata Institute of Fundamental Research (TIFR), Mumbai, a landmark event in the history of research of number theory in India. Research on number theory in India during modern times started with the advent of the iconic genius Srinivasa Ramanujan, inspiring mathematicians around the world. This book discusses the national and international impact of the research made by Indian number theorists. It also includes a carefully compiled, comprehensive bibliography of major 20th century Indian number theorists making this book important from the standpoint of historic documentation and a valuable resource for researchers of the field for their literature survey. This book also briefly discusses the importance of number theory in the modern world of mathematics, including applications of the results developed by indigenous number theorists in practical fields. Since the book is written from the viewpoint of the history of science, technical jargon and mathematical expressions have been avoided as much as possible.

Modular Forms and Related Topics in Number Theory

B. Ramakrishnan,Bernhard Heim,Brundaban Sahu
Modular Forms and Related Topics in Number Theory Book PDF

Author : B. Ramakrishnan,Bernhard Heim,Brundaban Sahu
Publisher : Springer Nature
Page : 240 pages
File Size : 40,9 Mb
Release : 2020-11-24
Category : Mathematics
ISBN : 9789811587191

Get Book

Modular Forms and Related Topics in Number Theory by B. Ramakrishnan,Bernhard Heim,Brundaban Sahu Pdf

This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10–14, 2018. The conference aimed at bringing the active number theorists and researchers in automorphic forms and allied areas to demonstrate their current research works. This book benefits young research scholars, postdoctoral fellows, and young faculty members working in these areas of research.

A Textbook of Algebraic Number Theory

Sudesh Kaur Khanduja
A Textbook of Algebraic Number Theory Book PDF

Author : Sudesh Kaur Khanduja
Publisher : Springer Nature
Page : 261 pages
File Size : 46,8 Mb
Release : 2022-04-26
Category : Mathematics
ISBN : 9789811691508

Get Book

A Textbook of Algebraic Number Theory by Sudesh Kaur Khanduja Pdf

This self-contained and comprehensive textbook of algebraic number theory is useful for advanced undergraduate and graduate students of mathematics. The book discusses proofs of almost all basic significant theorems of algebraic number theory including Dedekind’s theorem on splitting of primes, Dirichlet’s unit theorem, Minkowski’s convex body theorem, Dedekind’s discriminant theorem, Hermite’s theorem on discriminant, Dirichlet’s class number formula, and Dirichlet’s theorem on primes in arithmetic progressions. A few research problems arising out of these results are mentioned together with the progress made in the direction of each problem. Following the classical approach of Dedekind’s theory of ideals, the book aims at arousing the reader’s interest in the current research being held in the subject area. It not only proves basic results but pairs them with recent developments, making the book relevant and thought-provoking. Historical notes are given at various places. Featured with numerous related exercises and examples, this book is of significant value to students and researchers associated with the field. The book also is suitable for independent study. The only prerequisite is basic knowledge of abstract algebra and elementary number theory.

Number Theory and Discrete Mathematics

A.K. Agarwal,Bruce C. Berndt,Christian F. Krattenthaler,Gary L. Mullen,K. Ramachandra,Michel Waldschmidt
Number Theory and Discrete Mathematics Book PDF

Author : A.K. Agarwal,Bruce C. Berndt,Christian F. Krattenthaler,Gary L. Mullen,K. Ramachandra,Michel Waldschmidt
Publisher : Birkhäuser
Page : 314 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034882231

Get Book

Number Theory and Discrete Mathematics by A.K. Agarwal,Bruce C. Berndt,Christian F. Krattenthaler,Gary L. Mullen,K. Ramachandra,Michel Waldschmidt Pdf

To mark the World Mathematical Year 2000 an International Conference on Number Theory and Discrete Mathematics in honour of the legendary Indian Mathematician Srinivasa Ramanuj~ was held at the centre for Advanced study in Mathematics, Panjab University, Chandigarh, India during October 2-6, 2000. This volume contains the proceedings of that conference. In all there were 82 participants including 14 overseas participants from Austria, France, Hungary, Italy, Japan, Korea, Singapore and the USA. The conference was inaugurated by Prof. K. N. Pathak, Hon. Vice-Chancellor, Panjab University, Chandigarh on October 2, 2000. Prof. Bruce C. Berndt of the University of Illinois, Urbana Chaimpaign, USA delivered the key note address entitled "The Life, Notebooks and Mathematical Contributions of Srinivasa Ramanujan". He described Ramanujan--as one of this century's most influential Mathematicians. Quoting Mark K. ac, Prof. George E. Andrews of the Pennsylvania State University, USA, in his message for the conference, described Ramanujan as a "magical genius". During the 5-day deliberations invited speakers gave talks on various topics in number theory and discrete mathematics. We mention here a few of them just as a sampling: • M. Waldschmidt, in his article, provides a very nice introduction to the topic of multiple poly logarithms and their special values. • C.

Number Theory

Sudarsan Nanda
Number Theory Book PDF

Author : Sudarsan Nanda
Publisher : Allied Publishers
Page : 226 pages
File Size : 42,8 Mb
Release : 2013-12-21
Category : Mathematics
ISBN : 9788184248951

Get Book

Number Theory by Sudarsan Nanda Pdf

This book is suitable to be a text for B.A./B.Sc. (Pass and Hons) and M.A./M.Sc. students of all Indian Universities and second and third year undergraduate students of the Universities of North America and Europe. An elementary course on Real Analysis or an advanced course in Calculus, and elementary course in Modern Abstract Algebra for the book. We have included basic Set Theory and the concepts of abstract algebra in the appendices to make the book self contained.

Current Trends in Number Theory

S.D. Adhikari,S. A. Katre,B. Ramakrishnan
Current Trends in Number Theory Book PDF

Author : S.D. Adhikari,S. A. Katre,B. Ramakrishnan
Publisher : Springer
Page : 280 pages
File Size : 43,9 Mb
Release : 2002-01-01
Category : Mathematics
ISBN : 9789386279095

Get Book

Current Trends in Number Theory by S.D. Adhikari,S. A. Katre,B. Ramakrishnan Pdf

Proceedings of the International Conference on Number Theory, held at Allahabad in November 2000.

Notable Modern Indian Mathematicians and Statisticians

Purabi Mukherji
Notable Modern Indian Mathematicians and Statisticians Book PDF

Author : Purabi Mukherji
Publisher : Springer Nature
Page : 235 pages
File Size : 47,5 Mb
Release : 2022-10-11
Category : Mathematics
ISBN : 9789811961328

Get Book

Notable Modern Indian Mathematicians and Statisticians by Purabi Mukherji Pdf

This book provides a comprehensive portrayal of the history of Indian mathematicians and statisticians and uncovers many missing parts of the scientific representation of mathematical and statistical research during the 19th and 20th centuries of Bengal (now West Bengal), India. This book gives a brief historical account about the establishment of the first-two departments in an Indian university, where graduate teaching and research were initiated. This was a unique distinction for the University of Calcutta which was established in 1857. The creation of the world famous Indian Statistical Institute (ISI) in Calcutta (now Kolkata) is also briefly described. The lives and works of the 16 pioneer mathematical scientists who adorned the above mentioned institutions and the first Indian Institute Technology (IIT) of India have been elaborated in lucid language. Some outstanding scholars who were trained at the ISI but left India permanently have also been discussed briefly in a separate chapter. This book fulfils a long-standing gap in the history of modern Indian mathematics, which will make the book very useful to researchers in the history of science and mathematics. Written in very lucid English with little mathematical or statistical jargon makes the book immensely readable even to general readers with interest in scientific history even from non-mathematical, non-statistical background. This book is a clear portrayal of the struggle and success of researchers in mathematical sciences in Bengal (an important part of the colonial India), unveils before the international community of mathematical scientists. The real connoisseurs will appreciate the value of the book, as it will clear up many prevailing misconceptions.

Number Theory and Applications

S.D. Adhikari,B. Ramakrishnan
Number Theory and Applications Book PDF

Author : S.D. Adhikari,B. Ramakrishnan
Publisher : Springer
Page : 285 pages
File Size : 42,8 Mb
Release : 2009-06-15
Category : Mathematics
ISBN : 9789386279460

Get Book

Number Theory and Applications by S.D. Adhikari,B. Ramakrishnan Pdf

This collection of articles contains the proceedings of the two international conferences (on Number Theory and Cryptography) held at the Harish - Chandra Research Institute. In recent years the interest in number theory has increased due to its applications in areas like error-correcting codes and cryptography. These proceedings contain papers in various areas of number theory, such as combinatorial, algebraic, analytic and transcendental aspects, arithmetic algebraic geometry, as well as graph theory and cryptography. While some papers do contain new results, several of the papers are expository articles that mention open questions, which will be useful to young researchers.

History of the Calcutta School of Physical Sciences

Purabi Mukherji,Atri Mukhopadhyay
History of the Calcutta School of Physical Sciences Book PDF

Author : Purabi Mukherji,Atri Mukhopadhyay
Publisher : Springer
Page : 170 pages
File Size : 53,9 Mb
Release : 2018-06-26
Category : Mathematics
ISBN : 9789811302954

Get Book

History of the Calcutta School of Physical Sciences by Purabi Mukherji,Atri Mukhopadhyay Pdf

This book highlights the role of Sir Asutosh Mookerjee, founder of the Calcutta school of physics and the Calcutta Mathematical Society, and his talented scholars – Sir C.V. Raman, D.M. Bose, S.N. Bose, M.N. Saha, Sir K.S. Krishnan and S.K. Mitra – all of whom played a significant role in fulfilling their goal of creating an outstanding school of physical sciences in the city of Calcutta. The main objective of the book is to bring to the fore the combined contributions of the greatest physicists of India, who in the colonial period worked with practically no modern amenities and limited financial resources, but nonetheless with total dedication and self-confidence, which is unmatched in today’s world. The book presents the golden age of the physical sciences in India in compact form; in addition, small anecdotes, mostly unknown to many, have been brought the forefront. The book consists of 10 chapters, which include papers by these distinguished scientists along with detailed accounts of their academic lives and main research contributions, particularly during their time in Calcutta. A synopsis of the contents is provided in the introductory chapter. In the following chapters, detailed discussions are presented in straightforward language. The complete bibliographies of the great scientists have been added at the end. This book will be of interest to historians, philosophers of science, linguists, anthropologists, students, research scholars and general readers with a love for the history of science.

Advances In Number Theory And Applied Analysis

Pradip Debnath,Hari M Srivastava,Kalyan Chakraborty,Poom Kumam
Advances In Number Theory And Applied Analysis Book PDF

Author : Pradip Debnath,Hari M Srivastava,Kalyan Chakraborty,Poom Kumam
Publisher : World Scientific
Page : 463 pages
File Size : 52,6 Mb
Release : 2023-05-08
Category : Mathematics
ISBN : 9789811272615

Get Book

Advances In Number Theory And Applied Analysis by Pradip Debnath,Hari M Srivastava,Kalyan Chakraborty,Poom Kumam Pdf

Presently, the exploration of the applications of different techniques and tools of number theory and mathematical analysis are extensively prevalent in various areas of engineering, mathematical, physical, biological and statistical sciences. This book will present the most recent developments in these two fields through contributions from eminent scientists and mathematicians worldwide.The book will present the current state of the art development in these two areas through original new contributions and surveys. As such, readers will find several useful tools and techniques to develop their skills and expertise in number theory and applied analysis. New research directions are also indicated in each of the chapters. This book is meant for graduate students, faculty and researchers willing to expand their knowledge in number theory and mathematical analysis. The readers of this book will require minimum prerequisites of analysis, topology, number theory and functional analysis.

Issues in Mathematical Theory and Modeling: 2013 Edition

Anonim
Issues in Mathematical Theory and Modeling 2013 Edition Book PDF

Author : Anonim
Publisher : ScholarlyEditions
Page : 403 pages
File Size : 55,8 Mb
Release : 2013-05-01
Category : Mathematics
ISBN : 9781490110158

Get Book

Issues in Mathematical Theory and Modeling: 2013 Edition by Anonim Pdf

Issues in Mathematical Theory and Modeling / 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Lie Theory. The editors have built Issues in Mathematical Theory and Modeling: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Lie Theory in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Mathematical Theory and Modeling: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Mathematical Analysis and Analytic Number Theory 2019

Rekha Srivastava
Mathematical Analysis and Analytic Number Theory 2019 Book PDF

Author : Rekha Srivastava
Publisher : MDPI
Page : 318 pages
File Size : 44,6 Mb
Release : 2021-04-06
Category : Mathematics
ISBN : 9783036500324

Get Book

Mathematical Analysis and Analytic Number Theory 2019 by Rekha Srivastava Pdf

This volume is a collection of investigations involving the theory and applications of the various tools and techniques of mathematical analysis and analytic number theory, which are remarkably widespread in many diverse areas of the mathematical, biological, physical, chemical, engineering, and statistical sciences. It contains invited and welcome original as well as review-cum-expository research articles dealing with recent and new developments on the topics of mathematical analysis and analytic number theory as well as their multidisciplinary applications.

Research Directions in Number Theory

Jennifer S. Balakrishnan,Amanda Folsom,Matilde Lalín,Michelle Manes
Research Directions in Number Theory Book PDF

Author : Jennifer S. Balakrishnan,Amanda Folsom,Matilde Lalín,Michelle Manes
Publisher : Springer
Page : 195 pages
File Size : 53,7 Mb
Release : 2019-08-01
Category : Mathematics
ISBN : 9783030194789

Get Book

Research Directions in Number Theory by Jennifer S. Balakrishnan,Amanda Folsom,Matilde Lalín,Michelle Manes Pdf

These proceedings collect several number theory articles, most of which were written in connection to the workshop WIN4: Women in Numbers, held in August 2017, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. It collects papers disseminating research outcomes from collaborations initiated during the workshop as well as other original research contributions involving participants of the WIN workshops. The workshop and this volume are part of the WIN network, aimed at highlighting the research of women and gender minorities in number theory as well as increasing their participation and boosting their potential collaborations in number theory and related fields.

Srinivasa Ramanujan

K. Srinivasa Rao
Srinivasa Ramanujan Book PDF

Author : K. Srinivasa Rao
Publisher : Springer Nature
Page : 299 pages
File Size : 44,6 Mb
Release : 2021-05-30
Category : Mathematics
ISBN : 9789811604478

Get Book

Srinivasa Ramanujan by K. Srinivasa Rao Pdf

This book offers a unique account on the life and works of Srinivasa Ramanujan—often hailed as the greatest “natural” mathematical genius. Sharing valuable insights into the many stages of Ramanujan’s life, this book provides glimpses into his prolific research on highly composite numbers, partitions, continued fractions, mock theta functions, arithmetic, and hypergeometric functions which led the author to discover a new summation theorem. It also includes the list of Ramanujan’s collected papers, letters and other material present at the Wren Library, Trinity College in Cambridge, UK. This book is a valuable resource for all readers interested in Ramanujan’s life, work and indelible contributions to mathematics.

Certain Number-Theoretic Episodes In Algebra, Second Edition

R Sivaramakrishnan
Certain Number Theoretic Episodes In Algebra Second Edition Book PDF

Author : R Sivaramakrishnan
Publisher : CRC Press
Page : 250 pages
File Size : 42,7 Mb
Release : 2019-03-19
Category : Mathematics
ISBN : 9781351023320

Get Book

Certain Number-Theoretic Episodes In Algebra, Second Edition by R Sivaramakrishnan Pdf

The book attempts to point out the interconnections between number theory and algebra with a view to making a student understand certain basic concepts in the two areas forming the subject-matter of the book.