"The first volume might be especially useful for specialists in its subject, but it also contains good expositions for nonspecialists." Acta Sci. Math. (Szeged) Contents: Notes on Subfactors and Statistical Mechanics (V F R Jones); Polynomial Invariants in Knot Theory (L H Kauffman); Algebras of Loops on Surfaces, Algebras of Knots, and Quantization (V G Turaev); Quantum Groups (L Faddeev et al.); Introduction to the Yang-Baxter Equation (M Jimbo); Integrable Systems Related to Braid Groups and Yang-Baxter Equation (T Kohno); The Yang-Baxter Relation: A New Tool for Knot Theory (Y Akutsu et al.); Akutsu-Wadati Link Polynomials from Feynman-Kauffman Diagrams (M-L Ge et al.); Quantum Field Theory and the Jones Polynomial (E Witten)

"The first volume might be especially useful for specialists in its subject, but it also contains good expositions for nonspecialists." Acta Sci. Math. (Szeged) Contents: Notes on Subfactors and Statistical Mechanics (V F R Jones); Polynomial Invariants in Knot Theory (L H Kauffman); Algebras of Loops on Surfaces, Algebras of Knots, and Quantization (V G Turaev); Quantum Groups (L Faddeev et al.); Introduction to the Yang-Baxter Equation (M Jimbo); Integrable Systems Related to Braid Groups and Yang-Baxter Equation (T Kohno); The Yang-Baxter Relation: A New Tool for Knot Theory (Y Akutsu et al.); Akutsu-Wadati Link Polynomials from Feynman-Kauffman Diagrams (M-L Ge et al.); Quantum Field Theory and the Jones Polynomial (E Witten)

Lee Kuan Yew through the Eyes of Chinese Scholars is a compilation of essays by highly-respected Chinese scholars in which they evaluate the life, work and philosophy of Lee Kuan Yew, founding Prime Minister of Singapore. Presenting a range of views from a uniquely Chinese/Asian perspective, this book provides valuable insights for those who wish to gain a fuller and deeper understanding of Lee Kuan Yew - the man, as well as Singapore - his nation.Marking the momentous event of his death as well as the 50th anniversary of Singapore's independence in 2015, this compilation reflects both the high regard in which Lee Kuan Yew is held across the Chinese-speaking world as well as the reservations of a few. The contributors are all ethnic Chinese from different academic disciplines ranging from a Nobel laureate in physics, Chen-Ning Yang, to historians, economists and political scientists. They include Singaporeans such as Wang Gungwu and Chew Cheng Hai, as well as scholars from China, the US and Hong Kong such as Yongnian Zheng, Ying-Shih Yu, Lawrence Lau and Hang-Chi Lam among others.Originally published in Chinese, this English translation makes the material accessible to a wider English-reading audience.

Dr. Yang reviews the history of our knowledge of the elementary particles, and shows how theory and experiment interact to extend human knowledge. Originally published in 1961. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Dr. Yang reviews the history of our knowledge of the elementary particles, and shows how theory and experiment interact to extend human knowledge. Originally published in 1961. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

'The book is an engaging and influential collection of significant contributions from an assembly of world expert leaders and pioneers from different fields, working at the interface between topology and physics or applications of topology to physical systems ... The book explores many interesting and novel topics that lie at the intersection between gravity, quantum fields, condensed matter, physical cosmology and topology ... A rich, well-organized, and comprehensive overview of remarkable and insightful connections between physics and topology is here made available to the physics reader.'Contemporary PhysicsSince its birth in Poincare's seminal 1894 'Analysis Situs', topology has become a cornerstone of mathematics. As with all beautiful mathematical concepts, topology inevitably - resonating with that Wignerian principle of the effectiveness of mathematics in the natural sciences - finds its prominent role in physics. From Chern-Simons theory to topological quantum field theory, from knot invariants to Calabi-Yau compactification in string theory, from spacetime topology in cosmology to the recent Nobel Prize winning work on topological insulators, the interactions between topology and physics have been a triumph over the past few decades.In this eponymous volume, we are honoured to have contributions from an assembly of grand masters of the field, guiding us with their world-renowned expertise on the subject of the interplay between 'Topology' and 'Physics'. Beginning with a preface by Chen Ning Yang on his recollections of the early days, we proceed to a novel view of nuclei from the perspective of complex geometry by Sir Michael Atiyah and Nick Manton, followed by an entree toward recent developments in two-dimensional gravity and intersection theory on the moduli space of Riemann surfaces by Robbert Dijkgraaf and Edward Witten; a study of Majorana fermions and relations to the Braid group by Louis H Kauffman; a pioneering investigation on arithmetic gauge theory by Minhyong Kim; an anecdote-enriched review of singularity theorems in black-hole physics by Sir Roger Penrose; an adventure beyond anyons by Zhenghan Wang; an apercu on topological insulators from first-principle calculations by Haijun Zhang and Shou-Cheng Zhang; finishing with synopsis on quantum information theory as one of the four revolutions in physics and the second quantum revolution by Xiao-Gang Wen. We hope that this book will serve to inspire the research community.

Lee Kuan Yew through the Eyes of Chinese Scholars is a compilation of essays by highly-respected Chinese scholars in which they evaluate the life, work and philosophy of Lee Kuan Yew, founding Prime Minister of Singapore. Presenting a range of views from a uniquely Chinese/Asian perspective, this book provides valuable insights for those who wish to gain a fuller and deeper understanding of Lee Kuan Yew - the man, as well as Singapore - his nation.Marking the momentous event of his death as well as the 50th anniversary of Singapore's independence in 2015, this compilation reflects both the high regard in which Lee Kuan Yew is held across the Chinese-speaking world as well as the reservations of a few. The contributors are all ethnic Chinese from different academic disciplines ranging from a Nobel laureate in physics, Chen-Ning Yang, to historians, economists and political scientists. They include Singaporeans such as Wang Gungwu and Chew Cheng Hai, as well as scholars from China, the US and Hong Kong such as Yongnian Zheng, Ying-Shih Yu, Lawrence Lau and Hang-Chi Lam among others.Originally published in Chinese, this English translation makes the material accessible to a wider English-reading audience.

This book is a distillation of Prof T Y Wu's fifty years of experience teaching quantum theory to many generations of physicists. Starting with chapters on classical physics and the old quantum theory, Prof Wu quickly develops Heisenberg's matrix mechanics and the Schroedinger equation. After a detailed treatment of the general formulation of quantum theory, standard discussions on Perturbation Theory and the Hydrogen Atom follow. A fairly exhaustive treatment of the Zeeman effect is to be found in these chapter. Many electron atoms are treated expertly. The former is treated with great depth; the latter is a good introduction to the subject.

'The book is an engaging and influential collection of significant contributions from an assembly of world expert leaders and pioneers from different fields, working at the interface between topology and physics or applications of topology to physical systems ... The book explores many interesting and novel topics that lie at the intersection between gravity, quantum fields, condensed matter, physical cosmology and topology ... A rich, well-organized, and comprehensive overview of remarkable and insightful connections between physics and topology is here made available to the physics reader.'Contemporary PhysicsSince its birth in Poincare's seminal 1894 'Analysis Situs', topology has become a cornerstone of mathematics. As with all beautiful mathematical concepts, topology inevitably - resonating with that Wignerian principle of the effectiveness of mathematics in the natural sciences - finds its prominent role in physics. From Chern-Simons theory to topological quantum field theory, from knot invariants to Calabi-Yau compactification in string theory, from spacetime topology in cosmology to the recent Nobel Prize winning work on topological insulators, the interactions between topology and physics have been a triumph over the past few decades.In this eponymous volume, we are honoured to have contributions from an assembly of grand masters of the field, guiding us with their world-renowned expertise on the subject of the interplay between 'Topology' and 'Physics'. Beginning with a preface by Chen Ning Yang on his recollections of the early days, we proceed to a novel view of nuclei from the perspective of complex geometry by Sir Michael Atiyah and Nick Manton, followed by an entree toward recent developments in two-dimensional gravity and intersection theory on the moduli space of Riemann surfaces by Robbert Dijkgraaf and Edward Witten; a study of Majorana fermions and relations to the Braid group by Louis H Kauffman; a pioneering investigation on arithmetic gauge theory by Minhyong Kim; an anecdote-enriched review of singularity theorems in black-hole physics by Sir Roger Penrose; an adventure beyond anyons by Zhenghan Wang; an apercu on topological insulators from first-principle calculations by Haijun Zhang and Shou-Cheng Zhang; finishing with synopsis on quantum information theory as one of the four revolutions in physics and the second quantum revolution by Xiao-Gang Wen. We hope that this book will serve to inspire the research community.

Professor Chen Ning Yang, an eminent contemporary physicist, was Professor at the Institute for Advanced Study, Princeton, New Jersey, from 1955 to 1966, and Albert Einstein Professor of Physics at the State University of New York at Stony Brook until his retirement in 1999. He has been Distinguished Professor-at-Large at the Chinese University of Hong Kong since 1986 and Professor at Tsinghua University, Beijing, since 1998.Since receiving his PhD from the University of Chicago in 1948, Prof Yang has made great impacts in both abstract theory and phenomenological analysis in modern physics. In 1983, he published "Selected Papers (1945-1980), With Commentary". It has been considered by Freeman Dyson as one of his favorite books. The present book is a sequel to that earlier volume. It is a collection of his personally selected papers (1971-2012) supplemented by his insightful commentaries. Its contents reflect Professor Yang's changing interests after he reached age sixty. It also includes commentaries written by him in 2011 when he is 89 years old.The papers and commentaries in this unique collection comprise a remarkable personal and professional chronicle, shedding light on both the intellectual development of a great physicist and on the nature of scientific inquiry.