Format: Paperback / softback, 442 pages, height x width: 240x170 mm, 2 Tables, black and white; 114 Illustrations, black and white
Series: De Gruyter STEM
Pub. Date: 18-Nov-2024
ISBN-13: 9783111339566
This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In this line of thought, several theorems are proved multiple times with different methods either purely combinatorial or purely geometric while others are shown by a combination of arguments from both perspectives.
The first part of the book deals with Nielsen methods and introduces the reader to results and examples that are helpful to understand the following parts. The second part focuses on covering spaces and fundamental groups, including covering space proofs of group theoretic results. The third part deals with the theory of hyperbolic groups. The subjects are illustrated and described by prominent examples and an outlook on solved and unsolved problems.
New edition now includes the topics on universal free groups, quasiconvex subgroups and hyperbolic groups, and also Stallings foldings and subgroups of free groups. New results on groups of F-types are added.
Format: Hardback, 315 pages, height x width: 240x170 mm, 138 Illustrations, black and white; 30 Tables, black and white
Series: De Gruyter Proceedings in Mathematics
Pub. Date: 18-Nov-2024
ISBN-13: 9783111304373
This volume documents the contributions presented at The ICRTMPCS II International Conference on Advances in Mathematical and Computational Sciences. Entries focus on modern trends and techniques in branches of pure and applied mathematics, statistics, and computer science. Highlighting applications in coding theory, cryptography, graph theory, fuzzy theory, variance analysis, data analysis, and sampling theory.
Format: Hardback, 300 pages, height x width: 240x170 mm, 32 Illustrations, black and white; 28 Tables, black and white
Series: De Gruyter Proceedings in Mathematics
Pub. Date: 18-Nov-2024
ISBN-13: 9783111395401
This volume consists of twenty articles stemming from presentations given at the 2023 Integers Conference. They represent a variety of active areas of research in combinatorial number theory, including additive number theory, multiplicative number theory, elementary number theory, the theory of partitions, Ramsey theory, sequences, algebraic combinatorics, enumerative combinatorics, and Diophantine equations.
Format: Hardback, 585 pages, height x width: 240x170 mm, 80 Illustrations, color; 36 Illustrations, black and white
Series: Radon Series on Computational and Applied Mathematics
Pub. Date: 18-Nov-2024
ISBN-13: 9783111250038
Advances in learning-based methods are revolutionizing several fields in applied mathematics, including inverse problems, resulting in a major paradigm shift towards data-driven approaches. This volume, which is inspired by this cutting-edge area of research, brings together contributors from the inverse problem community and shows how to successfully combine model- and data-driven approaches to gain insight into practical and theoretical issues.
Format: Hardback, 220 pages, height x width: 240x170 mm, 103 Illustrations, black and white
Series: Calculus in Applied Sciences and Engineering
Pub. Date: 02-Dec-2024
ISBN-13: 9783111348766
This book will introduce new physical approaches (include fractional derivative models, continuous time random walk methods and Hausdorff derivative models) to accurately characterize anomalous sediment transport in turbulent flow. This book will systematically investigate anomalous sediment transport inexperiments, physical analysis, stochastic model and field applications.
Format: Hardback, 215 pages, height x width: 240x170 mm, 50 Illustrations, color; 13 Illustrations, black and white
Series: Radon Series on Computational and Applied Mathematics
Pub. Date: 30-Dec-2024
ISBN-13: 9783111356006
This book presents new contributions and substantial advancements in the field of inverse imaging problems. Several chapters are driven by novel applications, which leads to novel mathematical formulations. The book contains mathematical and modeling techniques studying inverse and ill-posed problems with theoretical, numerical, and practical aspects arising in science and engineering.
Chern: A Great Geometer of the 20th Century
Lectures given at the 2021 Tsinghua conference celebrating the 110th birthday of S.-S. Chern
Published: 4 April 2024
Hardcover
394 pages
This special volume is dedicated to S.-S. Chern in honor of his 110th birthday. It is based on talks given at the conference “Chern: a Great Geometer of the 20th Century” held at Tsinghua University in Beijing, China, October 10-14, 2021.
Preface
Revisiting S.S. Chern’s article “The geometry of
-structures”, 55 years after its publication
Jean-Pierre Bourguignon
pp. 1-11
A survey on Yau’s uniformization conjecture
Bing-Long Chen and Xi-Ping Zhu
pp. 13-30
Rigidity of moduli spaces and algebro-geometric constructions
Benson Farb
pp. 31-49
3d spectral networks and classical Chern?Simons theory
Daniel S. Freed and Andrew Neitzke
pp. 51-155
Introduction to a deformed Hermitian Yang?Mills flow
Jixiang Fu, Shing-Tung Yau, and Dekai Zhang
pp. 157-168
Homological algebra and moduli spaces in topological field theories
Kenji Fukaya
pp. 169-232
Local scalar invariants of Kahler metric
Kefeng Liu and Hao Xu
pp. 233-261
Periodic and open classical spin Calogero?Moser chains
Nicolai Reshetikhin
pp. 263-297
Stochastic Kahler geometry: from random zeros to random metrics
Bernard Shiffman and Steve Zelditch
pp. 299-334
Shiing-Shen Chern: as a great geometer of 20th century
Shing-Tung Yau
pp. 335-357
Some recent results on multiplier ideal sheaves
Xiangyu Zhou
pp. 359-371
Boundedness and moduli of algebraic varieties
Caucher Birkar
pp. 373-386
A breathtakingly illustrated look at botanical spirals and the scientists who puzzled over them
Charles Darwin was driven to distraction by plant spirals, growing so exasperated that he once begged a friend to explain the mystery “if you wish to save me from a miserable death.” The legendary naturalist was hardly alone in feeling tormented by these patterns. Plant spirals captured the gaze of Leonardo da Vinci and became Alan Turing’s final obsession. This book tells the stories of the physicists, mathematicians, and biologists who found themselves magnetically drawn to Fibonacci spirals in plants, seeking an answer to why these beautiful and seductive patterns occur in botanical forms as diverse as pine cones, cabbages, and sunflowers.
Do Plants Know Math? takes you down through the centuries to explore how great minds have been captivated and mystified by Fibonacci patterns in nature. It presents a powerful new geometrical solution, little known outside of scientific circles, that sheds light on why regular and irregular spiral patterns occur. Along the way, the book discusses related plant geometries such as fractals and the fascinating way that leaves are folded inside of buds. Your neurons will crackle as you begin to see the connections. This book will inspire you to look at botanical patterns?and the natural world itself?with new eyes.
Featuring hundreds of gorgeous color images, Do Plants Know Math? includes a dozen creative hands-on activities and even spiral-plant recipes, encouraging readers to explore and celebrate these beguiling patterns for themselves.
An invaluable reference book on the mathematics of Greek antiquity
Euclid, Archimedes, and Apollonius are familiar names to many of us, and their contributions have shaped mathematical practice up to modern times. Yet the mathematical activity of Greek antiquity extended far beyond their achievements and was furthered by diverse individuals in different contexts. Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean brings together an extensive collection of primary source materials that document the extraordinary breadth of mathematical ideas developed in the Eastern Mediterranean from 500 BCE to 500 CE, a millennium in which Greek cultural influence spanned the ancient world.
Weaving together ancient commentaries with the works themselves, Victor Katz and Clemency Montelle present a wealth of newly translated texts along with sources difficult to find elsewhere, from writings by the great mathematical thinkers of Greek antiquity to those by practitioners who used mathematics in everyday life. This comprehensive and wide-ranging sourcebook includes lesser-known authors who made critical contributions, sometimes in languages other than Greek, as well as accounts of technical instrumentation, papyri by anonymous authors designed for teaching purposes, and evidence of hand computations and numerical tables.
An essential resource for anyone interested in the mathematical achievements of this remarkable intellectual culture, Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean encompasses disciplines that illustrate the important role of mathematics in ancient Greek society more broadly, from astronomy, music, and optics to philosophy, literature, and theater.