Rational Number Theory in the 20th Century

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Release : 2011-09-02
Genre : Mathematics
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Book Rating : 322/5 ( reviews)

Rational Number Theory in the 20th Century - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rational Number Theory in the 20th Century write by Władysław Narkiewicz. This book was released on 2011-09-02. Rational Number Theory in the 20th Century available in PDF, EPUB and Kindle. The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.

Rational Number Theory in the 20th Century

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Release : 2011-09-10
Genre : Mathematics
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Book Rating : 330/5 ( reviews)

Rational Number Theory in the 20th Century - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rational Number Theory in the 20th Century write by Wladyslaw Narkiewicz. This book was released on 2011-09-10. Rational Number Theory in the 20th Century available in PDF, EPUB and Kindle. The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.

The Story of Algebraic Numbers in the First Half of the 20th Century

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Release : 2019-01-18
Genre : Mathematics
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Book Rating : 541/5 ( reviews)

The Story of Algebraic Numbers in the First Half of the 20th Century - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Story of Algebraic Numbers in the First Half of the 20th Century write by Władysław Narkiewicz. This book was released on 2019-01-18. The Story of Algebraic Numbers in the First Half of the 20th Century available in PDF, EPUB and Kindle. The book is aimed at people working in number theory or at least interested in this part of mathematics. It presents the development of the theory of algebraic numbers up to the year 1950 and contains a rather complete bibliography of that period. The reader will get information about results obtained before 1950. It is hoped that this may be helpful in preventing rediscoveries of old results, and might also inspire the reader to look at the work done earlier, which may hide some ideas which could be applied in contemporary research.

Research Schools on Number Theory in India

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Release : 2021-01-05
Genre : Mathematics
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Book Rating : 204/5 ( reviews)

Research Schools on Number Theory in India - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Research Schools on Number Theory in India write by Purabi Mukherji. This book was released on 2021-01-05. Research Schools on Number Theory in India available in PDF, EPUB and Kindle. 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.

Quadratic Irrationals

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Release : 2013-06-17
Genre : Mathematics
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Book Rating : 846/5 ( reviews)

Quadratic Irrationals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quadratic Irrationals write by Franz Halter-Koch. This book was released on 2013-06-17. Quadratic Irrationals available in PDF, EPUB and Kindle. Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic orders, binary quadratic forms, and class groups.T