Number Theory 22

This is a book about infinity ー specifically the infinity of numbers, and how one kind of infinity is greater than all the rest. Along the way the author will demonstrate how infinity can be made t……続きを見る

This book offers an introduction to some combinatorial (also, set-theoretical) approaches and methods in geometry of the Euclidean space Rm. The topics discussed in the manuscript are due to the fie……続きを見る

This book is an autobiographical interview with Chinese Academician Yuan Wang on his experience in mathematical research. The book looks back on Wang's collaboration with his teacher Hua Loo-Keng an……続きを見る

This book introduces readers to the art of doing mathematical proofs. Proofs are the glue that holds mathematics together. They make connections between math concepts and show why things work the wa……続きを見る

This volume records and disseminates selected papers from the Stinson66 conference, including surveys, prospectives, and papers presenting original and current research. It contains four accessible ……続きを見る

Dieses Buch versucht, die schrittweise Entwicklung der wichtigsten Forschungsinstitute zur Zahlentheorie in Südindien, Punjab, Mumbai, Bengalen und Bihar zu beschreiben, einschließlich der Gründung ……続きを見る

Aspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals is comprised of two parts. The first part is devoted to the Riemann integral, and provides not only a novel approach, b……続きを見る

Ancient times witnessed the origins of the theory of continued fractions. Throughout time, mathematical geniuses such as Euclid, Aryabhata, Fibonacci, Bombelli, Wallis, Huygens, or Euler have made s……続きを見る

"A complete introduction to the geometric code of nature, written and illustrated by the most perceptive of its modern investigators." ーJohn Michell, from the Preface You need not be a philosopher ……続きを見る

Los números, ya sean considerados una invención o un descubrimiento, han formado parte de la humanidad desde el surgimiento del pensamiento abstracto y han estado vinculados a la necesidad humana de……続きを見る

Regularity Techniques for Elliptic PDEs and the Fractional Laplacian presents important analytic and geometric techniques to prove regularity estimates for solutions to second order elliptic equatio……続きを見る

"A lighthearted yet far-reaching look at the history of numbers and how we use them." ー Publishers Weekly Have you ever wondered what humans did before numbers existed? How they organized their liv……続きを見る

Vector Partitions, Visible Points and Ramanujan Functions offers a novel theory of Vector Partitions, though very much grounded in the long-established work of others, that could be developed as an ……続きを見る

Book Overview: "Mastering Base 9: A Comprehensive Student’s Manual for Mathematical Operations" "Mastering Base 9: A Comprehensive Student’s Manual for Mathematical Operations" by B.S Dubey & AI Too……続きを見る

الأعداد تنسجم بشكل لا يمكن تجاهله مع نسيج حياتنا اليومية، حيث تشكل جزءًا لا يتجزأ من كل نشاط نقوم به. يقودنا الكاتب الرياضي البارع، بيتر إم هيجنز، في هذه الرحلة الممتعة والمفيدة إلى عالم الأعداد، حي……続きを見る

This contributed volume presents recent advances as well as new directions in number theory and its applications. Algebraic and analytic number theory are the main focus with chapters showing how th……続きを見る

This book provides a foundation for arithmetic topology, a new branch of mathematics that investigates the analogies between the topology of knots, 3-manifolds, and the arithmetic of number fields. ……続きを見る

This book provides an overview of the main results and problems concerning Diophantine m-tuples, i.e., sets of integers or rationals with the property that the product of any two of them is one less……続きを見る

This is a collection of lecture notes from the minicourses in the December 2018 Langlands Workshop: Endoscopy and Beyond. The volume combines seven introductory chapters on trace formulas, local Art……続きを見る

What are numbers? Where do they come from? Are there different kings of number? Why was Pythagoras fascinated by triangular and square numbers? Is there a link between perfect numbers and primes? In……続きを見る

This is the fifth proceedings volume published under the Women in Numbers umbrella. The WIN workshops and their proceedings volumes are part of the WIN network, aimed at highlighting the research of……続きを見る

Building on the tradition of an outstanding series of conferences at the University of Illinois at Urbana-Champaign, the organizers attracted an international group of scholars to open the new Mille……続きを見る

This book serves as an illuminating introduction to the intricacies of the geometry of numbers. It commences by exploring basic concepts of convex sets and lattices in Euclidean space and goes on to……続きを見る

Discover the Ultimate Guide to Decoding the Spiritual Meaning of Numbers and Unleashing the Power of Numerology for Everyday Living! Are you struggling to find your purpose in life? Do you feel like……続きを見る

This book gathers carefully chosen selection tests proposed to IMO (International Mathematical Olympiad) teams across many countries. Offering a blend of original solutions and adaptations by the au……続きを見る

This book presents a systematic treatment of Grobner bases in several contexts. The book builds up to the theory of Grobner bases for operads due to the second author and Khoroshkin as well as vario……続きを見る

This volume contains research and expository content based on a wide variety of topics within modern number theory and arithmetic geometry. Research in this volume arises from or is connected with t……続きを見る

Entdecken Sie den ultimativen Leitfaden zur Entschlüsselung der spirituellen Bedeutung der Zahlen. Entfesseln Sie die Kraft der Numerologie für den Alltag! Kämpfen Sie damit, Ihren Lebenszweck zu fi……続きを見る

This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors. It explores positivity conditions and establishes the Hi……続きを見る

This book proposes a novel approach to the study of Diophantine equations: define an appropriate version of the equation’s size, order all polynomial Diophantine equations by size, and then solve th……続きを見る