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Lily and the Octopus by Steven Rowley Read the opening extract of the brand new Steven Rowley book before its publication on 05/10/2017

Number theory books

See below for a selection of the latest books from Number theory category. Presented with a red border are the Number theory books that have been lovingly read and reviewed by the experts at Lovereading.

With expert reading recommendations made by people with a passion for books and some unique features Lovereading will help you find great Number theory books and those from many more genres to read that will keep you inspired and entertained. And it's all free!


Recently Published

An Invitation to the Rogers-Ramanujan Identities by Andrew V. (Georgia Southern University, Statesboro, USA) Sills An Invitation to the Rogers-Ramanujan Identities
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The Rogers--Ramanujan identities are a pair of infinite series-infinite product identities that were first discovered in 1894. Over the past several decades these identities, and identities of similar type, have found applications in number theory, combinatorics, Lie algebra and vertex...
Format: Hardback - Released: 11/09/2017

An Illustrated Theory of Numbers by Martin H. Weissman An Illustrated Theory of Numbers

Provides a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity.
Format: Hardback - Released: 30/08/2017

Exploring the Riemann Zeta Function 190 years from Riemann's Birth by Hugh Montgomery Exploring the Riemann Zeta Function 190 years from Riemann's Birth

Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic...
Format: Hardback - Released: 24/08/2017

The Power of q A Personal Journey by Michael D. Hirschhorn The Power of q A Personal Journey

This unique book explores the world of q, known technically as basic hypergeometric series, and represents the author's personal and life-long study-inspired by Ramanujan-of aspects of this broad topic. While the level of mathematical sophistication is graduated, the book is...
Format: Hardback - Released: 03/08/2017

Goldbach's Problem Selected Topics by Michael Th. Rassias Goldbach's Problem Selected Topics

Important results surrounding the proof of Goldbach's ternary conjecture are presented in this book. Beginning with an historical perspective along with an overview of essential lemmas and theorems, this monograph moves on to a detailed proof of Vinogradov's theorem. The...
Format: Paperback - Released: 15/07/2017

Inequalities An Approach Through Problems by B. J. Venkatachala Inequalities An Approach Through Problems


Format: Paperback - Released: 30/06/2017

Ramanujan's Theta Functions by Shaun Cooper Ramanujan's Theta Functions

Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan's results and extends them to a general theory. The author's treatment of the subject is comprehensive, providing a detailed study of theta functions and modular...
Format: Hardback - Released: 26/06/2017

Fractal Zeta Functions and Fractal Drums Higher-Dimensional Theory of Complex Dimensions by Michel L. Lapidus, Darko Zubrinic, Goran Radunovic Fractal Zeta Functions and Fractal Drums Higher-Dimensional Theory of Complex Dimensions
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This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums. It provides a significant extension...
Format: Hardback - Released: 18/06/2017

Coming Soon

Topics in Computational Number Theory Inspired by Peter L. Montgomery by Joppe W. Bos Topics in Computational Number Theory Inspired by Peter L. Montgomery

This book highlights the many ideas and algorithms that Peter L. Montgomery has contributed to computational number theory and cryptography.
Format: Hardback - Released: 30/09/2017

A Conversational Introduction to Algebraic Number Theory Arithmetic Beyond Z by Paul Pollack A Conversational Introduction to Algebraic Number Theory Arithmetic Beyond Z

Gauss famously referred to mathematics as the queen of the sciences and to number theory as the queen of mathematics . This book is an introduction to algebraic number theory, meaning the study of arithmetic in finite extensions of the...
Format: Paperback - Released: 30/09/2017

Summing It Up From One Plus One to Modern Number Theory by Avner Ash, Robert Gross Summing It Up From One Plus One to Modern Number Theory
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We use addition on a daily basis-yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at...
Format: Paperback - Released: 01/11/2017

Equivalents of the Riemann Hypothesis: Volume 1, Arithmetic Equivalents by Kevin (University of Waikato, New Zealand) Broughan Equivalents of the Riemann Hypothesis: Volume 1, Arithmetic Equivalents
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This first volume of two presents classical and modern arithmetic equivalents to the Riemann hypothesis. Accompanying software is online.
Format: Hardback - Released: 30/11/2017

Equivalents of the Riemann Hypothesis 2 Hardback Volume Set by Kevin (University of Waikato, New Zealand) Broughan Equivalents of the Riemann Hypothesis 2 Hardback Volume Set
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This two-volume work presents the main known equivalents to the Riemann hypothesis. Each volume can be read independently.
Format: Multiple copy pack - Released: 30/11/2017

Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents by Kevin (University of Waikato, New Zealand) Broughan Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents
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This second volume of two presents analytic equivalents to the Riemann hypothesis. Includes an extensive set of appendices.
Format: Hardback - Released: 30/11/2017

Combinatorial and Additive Number Theory CANT, New York, 2015 and 2016 by Melvyn Nathanson Combinatorial and Additive Number Theory CANT, New York, 2015 and 2016

This is a PROMS volume showcasing research on number theory from the thirteenth and fourteenth annual workshops sponsored by the New York Number Theory Seminar on problems in combinatorial and additive number theory and related parts of mathematics.
Format: Hardback - Released: 15/12/2017

An Introduction to the Theory of Numbers by Ivan Niven An Introduction to the Theory of Numbers

Internationally recognized mathematician, Ivan Niven's 6 th Edition of An Introduction to the Theory of Numbers continues to focus on number theory.
Format: Hardback - Released: 18/12/2017

Other books in this genre

Number Theory - Diophantine Problems, Uniform Distribution and Applications Festschrift in Honour of Robert F. Tichy's 60th Birthday by Christian Elsholtz Number Theory - Diophantine Problems, Uniform Distribution and Applications Festschrift in Honour of Robert F. Tichy's 60th Birthday

This volume is dedicated to Robert F. Tichy on the occasion of his 60th birthday. Presenting 22 research and survey papers written by leading experts in their respective fields, it focuses on areas that align with Tichy's research interests and...
Format: Hardback - Released: 13/06/2017

Single Digits In Praise of Small Numbers by Marc Chamberland Single Digits In Praise of Small Numbers

In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical...
Format: Paperback - Released: 30/05/2017

Lectures On Modular Forms by Joseph J. Lehner Lectures On Modular Forms


Format: Paperback - Released: 17/05/2017

Algebraic Geometry and Number Theory Summer School, Galatasaray University, Istanbul by Hussein Mourtada Algebraic Geometry and Number Theory Summer School, Galatasaray University, Istanbul

This lecture notes volume presents significant contributions from the Algebraic Geometry and Number Theory Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014. It addresses subjects ranging from Arakelov geometry and Iwasawa theory to classical projective geometry, birational geometry...
Format: Hardback - Released: 16/05/2017

Periods and Special Functions in Transcendence by Paula B. Tretkoff Periods and Special Functions in Transcendence

This book gives an introduction to some central results in transcendental number theory with application to periods and special values of modular and hypergeometric functions. It also includes related results on CalabiYau manifolds. Most of the material is based on...
Format: Hardback - Released: 12/05/2017

Galois Representations and (Phi, Gamma)-Modules by Peter Schneider Galois Representations and (Phi, Gamma)-Modules

A detailed and self-contained introduction to a key part of local number theory, ideal for graduate students and researchers.
Format: Hardback - Released: 20/04/2017

On Dwork's $p$-Adic Formal Congruences Theorem and Hypergeometric Mirror Maps by E. Delaygue, T. Rivoal, J. Roques On Dwork's $p$-Adic Formal Congruences Theorem and Hypergeometric Mirror Maps
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Using Dwork's theory, the authors prove a broad generalization of his famous p-adic formal congruences theorem. This enables them to prove certain p-adic congruences for the generalized hypergeometric series with rational parameters, in particular, they hold for any prime number...
Format: Paperback - Released: 30/03/2017

Elliptic Curves, Modular Forms and Iwasawa Theory In Honour of John H. Coates' 70th Birthday, Cambridge, UK, March 2015 by David Loeffler Elliptic Curves, Modular Forms and Iwasawa Theory In Honour of John H. Coates' 70th Birthday, Cambridge, UK, March 2015

Celebrating one of the leading figures in contemporary number theory - John H. Coates - on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic...
Format: Hardback - Released: 04/01/2017

Arithmetische Funktionen by Paul J McCarthy Arithmetische Funktionen


Format: Paperback / softback - Released: 02/01/2017

Diophantine Analysis Course Notes from a Summer School by Jorn Steuding Diophantine Analysis Course Notes from a Summer School

This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject. The topics range from Baker's method of...
Format: Hardback - Released: 30/12/2016

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