Number Theory 22

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

This volume reflects the contributions stemming from the conference Analytic and Combinatorial Number Theory: The Legacy of Ramanujan which took place at the University of Illinois at Urbana-Champai……続きを見る

This introductory text is designed for undergraduate courses in number theory, covering both elementary number theory and analytic number theory. The book emphasises computational aspects, including……続きを見る

A First Course on Orthogonal Polynomials: Classical Orthogonal Polynomials and Related Topics provides an introduction to orthogonal polynomials and special functions aimed at graduate students stud……続きを見る

The existence of transcendental numbers was first proved in 1844, by Joseph Liouville. Advances were made by Charles Hermite, proving the transcendence of the number e, and Ferdinand von Lindemann, ……続きを見る

This textbook provides an undergraduate introduction to Galois theory and its most notable applications. Galois theory was born in the 19th century to study polynomial equations. Both powerful and e……続きを見る

This book is an introduction to the algorithmic aspects of number theory and its applications to cryptography, with special emphasis on the RSA cryptosys-tem. It covers many of the familiar topics o……続きを見る