Share

Number Theory in the Spirit of Liouville

2011 Mathematics
Download Number Theory in the Spirit of Liouville PDF Online Free

Author :
Release : 2011
Genre : Mathematics
Kind : eBook
Book Rating : 532/5 ( reviews)

GET EBOOK


Book Synopsis Number Theory in the Spirit of Liouville by : Kenneth S. Williams

Download or read book Number Theory in the Spirit of Liouville written by Kenneth S. Williams. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: A gentle introduction to Liouville's powerful method in elementary number theory. Suitable for advanced undergraduate and beginning graduate students.

Number Theory in the Spirit of Ramanujan

2006 Mathematics
Download Number Theory in the Spirit of Ramanujan PDF Online Free

Author :
Release : 2006
Genre : Mathematics
Kind : eBook
Book Rating : 785/5 ( reviews)

GET EBOOK


Book Synopsis Number Theory in the Spirit of Ramanujan by : Bruce C. Berndt

Download or read book Number Theory in the Spirit of Ramanujan written by Bruce C. Berndt. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in number theory. Most of Ramanujan's work in number theory arose out of $q$-series and theta functions. This book provides an introduction to these two important subjects and to some of the topics in number theory that are inextricably intertwined with them, including the theory of partitions, sums of squares and triangular numbers, and the Ramanujan tau function. The majority of the results discussed here are originally due to Ramanujan or were rediscovered by him. Ramanujan did not leave us proofs of the thousands of theorems he recorded in his notebooks, and so it cannot be claimed that many of the proofs given in this book are those found by Ramanujan. However, they are all in the spirit of his mathematics. The subjects examined in this book have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Therefore, at the end of each of the seven chapters, Berndt discusses the results established in the chapter and places them in both historical and contemporary contexts. The book is suitable for advanced undergraduates and beginning graduate students interested in number theory.

Number Theory, Fourier Analysis and Geometric Discrepancy

2014-06-12 Mathematics
Download Number Theory, Fourier Analysis and Geometric Discrepancy PDF Online Free

Author :
Release : 2014-06-12
Genre : Mathematics
Kind : eBook
Book Rating : 030/5 ( reviews)

GET EBOOK


Book Synopsis Number Theory, Fourier Analysis and Geometric Discrepancy by : Giancarlo Travaglini

Download or read book Number Theory, Fourier Analysis and Geometric Discrepancy written by Giancarlo Travaglini. This book was released on 2014-06-12. Available in PDF, EPUB and Kindle. Book excerpt: Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.

Analytic Number Theory, Modular Forms and q-Hypergeometric Series

2018-02-01 Mathematics
Download Analytic Number Theory, Modular Forms and q-Hypergeometric Series PDF Online Free

Author :
Release : 2018-02-01
Genre : Mathematics
Kind : eBook
Book Rating : 764/5 ( reviews)

GET EBOOK


Book Synopsis Analytic Number Theory, Modular Forms and q-Hypergeometric Series by : George E. Andrews

Download or read book Analytic Number Theory, Modular Forms and q-Hypergeometric Series written by George E. Andrews. This book was released on 2018-02-01. Available in PDF, EPUB and Kindle. Book excerpt: Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory. Extensive and detailed, this volume features 40 articles by leading researchers on topics in analytic number theory, probabilistic number theory, irrationality and transcendence, Diophantine analysis, partitions, basic hypergeometric series, and modular forms. Readers will also find detailed discussions of several aspects of the path-breaking work of Srinivasa Ramanujan and its influence on current research. Many of the papers were motivated by Alladi's own research on partitions and q-series as well as his earlier work in number theory. Alladi is well known for his contributions in number theory and mathematics. His research interests include combinatorics, discrete mathematics, sieve methods, probabilistic and analytic number theory, Diophantine approximations, partitions and q-series identities. Graduate students and researchers will find this volume a valuable resource on new developments in various aspects of number theory.

Lectures on Profinite Topics in Group Theory

2011-02-10 Mathematics
Download Lectures on Profinite Topics in Group Theory PDF Online Free

Author :
Release : 2011-02-10
Genre : Mathematics
Kind : eBook
Book Rating : 658/5 ( reviews)

GET EBOOK


Book Synopsis Lectures on Profinite Topics in Group Theory by : Benjamin Klopsch

Download or read book Lectures on Profinite Topics in Group Theory written by Benjamin Klopsch. This book was released on 2011-02-10. Available in PDF, EPUB and Kindle. Book excerpt: In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie groups. The second explains how methods from linear algebraic groups can be utilised to study the finite images of linear groups. The final chapter provides an overview of zeta functions associated to groups and rings. Derived from an LMS/EPSRC Short Course for graduate students, this book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original research articles. Accessible to beginning graduate students in group theory, it will also appeal to researchers interested in infinite group theory and its interface with Lie theory and number theory.

You may also like...