Number Theory

G. H. Hardy (18771947) ranks among the great mathematicians of the twentieth century. He did essential research in number theory and analysis, held...

Number Theory: A Lively Introduction with Proofs, Applications, and Stories, is a new book that provides a rigorous yet accessible introduction to ...

This book is a great treasure for everyone who enjoys the beauty of the fascinating world of recreational mathematics. It focuses on recreational a...

Dieses Buch richtet sich an Leser, die zum ersten Mal ins geheimnisvolle Reich der natürlichen Zahlen wandern wollen. Durch viele Aufgaben versucht...

The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. It connects number theor...

Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind...

Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind...

Introducing the Collins Modern Classics, a series featuring some of the most significant books of recent times, books that shed light ...

Discrete Mathematics and theoretical computer science are closely linked research areas with strong impacts on applications and various other scien...

The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (differe...

Quantum algorithms are among the most important, interesting, and promising innovations in information and communication technology. They pose a ma...

This volume reflects the contributions stemming from the conference Analytic and Combinatorial Number Theory: The Legacy of Ramanujan which took pl...

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...

Think of a number between one and ten.No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, ...

About the bookIn honor of Edgar Enochs and his venerable contributions to a broad range of topics in Algebra, top researchers from around the world...

Asymptotics in one form or another are part of the landscape for every mathematician. The objective of this book is to present the ideas of how to ...

Mathematics is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in cont...

This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of ...

Hilbert's tenth problem is one of 23 problems proposed by David Hilbert in 1900 at the International Congress of Mathematicians in Paris. These pro...

Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Probability through Algebra is based on a course of...

Introduced by Peter Scholze in 2011, perfectoid spaces are a bridge between geometry in characteristic 0 and characteristic $p$, and have been used...

When Leonhard Euler first arrived at the Russian Academy of Sciences, at the age of 20, his career was supported and promoted by the Academys secre...

Joseph Liouville is recognised as one of the great mathematicians of the nineteenth century, and one of his greatest achievements was the introduct...

Famous mathematical constants include the ratio of circular circumference to diameter, = 3.14 , and the natural logarithm base, e = 2.718 . Studen...

The Woods Hole trace formula is a Lefschetz fixed-point theorem for coherent cohomology on algebraic varieties. It leads to a version of the sheave...

The Mahler measure is a fascinating notion and an exciting topic in contemporary mathematics, interconnecting with subjects as diverse as number th...

Searching for small gaps between consecutive primes is one way to approach the twin primes conjecture, one of the most celebrated unsolved problems...

This is a collection of lecture notes from the minicourses in the December 2018 Langlands Workshop: Endoscopy and Beyond. The volume combines seven...

The striking theorems showcased in this book are among the most profound results of twentieth-century analysis. The authors' original approach comb...

ANTS-IX was the ninth edition of the biennial International Symposium on Algorithmic Number Theory. The ?rst edition of this symposium was held at ...

This revised and enlarged sixth edition of Proofs from THE BOOK features an entirely new chapter on Van der Waerdens permanent conjecture, as well ...

This volume contains research and expository content based on a wide variety of topics within modern number theory and arithmetic geometry. Researc...