This book honors the remarkable science and life of Shoucheng Zhang, a condensed matter theorist known for his work on topological insulators, the quantum Hall effect, spintronics, superconductivity, and other fields. It contains the contributions displayed at the Shoucheng Zhang Memorial Workshop held on May 2-4, 2019 at Stanford University.

Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-c superconductivity and the fractional quantum hall effect. Analytical solutions to such models, though mainly limited to one spatial dimension, provide a complete and unambiguous picture of the dynamics involved. This volume is devoted to such solutions obtained using the Bethe Ansatz, and concentrates on the most important of such models, the Hubbard model. The reprints are complemented by reviews at the start of each chapter and an extensive bibliography.

The bestselling Journey to the West comic book by artist Chang Boon Kiat is now back in a brand new fully coloured edition. Journey to the West is one of the greatest classics in Chinese literature. It tells the epic tale of the monk Xuanzang who journeys to the West in search of the Buddhist sutras with his disciples, Sun Wukong, Sandy and Pigsy. Along the way, Xuanzang's life was threatened by the diabolical White Bone Spirit, the menacing Red Child and his fearsome parents and, a host of evil spirits who sought to devour Xuanzang's flesh to attain immortality. Bear witness to the formidable Sun Wukong's (Monkey God) prowess as he takes them on, using his Fiery Eyes, Golden Cudgel, Somersault Cloud, and quick wits! Be prepared for a galloping read that will leave you breathless!

This indispensable volume contains a compendium of articles covering a vast range of topics in physics which were begun or influenced by the works of Albert Einstein: special relativity, quantum theory, statistical physics, condensed matter physics, general relativity, geometry, cosmology and unified field theory. An essay on the societal role of Einstein is included. These articles, written by some of the renowned experts, offer an insider's view of the exciting world of fundamental science. Sample Chapter(s). Chapter 1: Einstein and the Search for Unification (625 KB). Contents: Einstein and the Search for Unification (D Gross); Einstein and Geometry (M Atiyah); String Theory and Einstein's Dream (A Sen); Black Hole Entropy in String Theory: A Window into the Quantum Structure of Gravity (A Dabholkar); The Winding Road to Quantum Gravity (A Ashtekar); Brownian Functionals in Physics and Computer Science (S N Majumdar); Bose-Einstein Condensation: Where Many Become One and So There is Plenty of Room at the Bottom (N Kumar); Many Electrons Strongly Avoiding Each Other: Strange Goings On (T V Ramakrishnan); Einstein and the Quantum (V Singh); Einstein's Legacy: Relativistic Cosmology (J V Narlikar); Einstein's Universe: The Challenge of Dark Energy (S Sarkar); Gravitational Radiation OCo In Celebration of Einstein's Annus Mirabilis (B S Sathyaprakash); Albert Einstein: Radical Pacifist and Democrat (T Jayaraman). Readership: Physicists, mathematicians and academics."

Ludwig Faddeev is widely recognized as one of the titans of 20th century mathematical physics. His fundamental contributions to scattering theory, quantum gauge theories, and the theory of classical and quantum completely integrable systems played a key role in shaping modern mathematical physics. Ludwig Faddeev's major achievements include the solution of the three-body problem in quantum mechanics, the mathematical formulation of quantum gauge theories and corresponding Feynman rules, Hamiltonian and algebraic methods in mathematical physics, with applications to gauge theories with anomalies, quantum systems with constraints and solitons, the discovery of the algebraic structure of classical and quantum integrable systems and quantum groups, and solitons with the topology of knots. Faddeev's name is imprinted in many areas of mathematics and theoretical physics, including "Faddeev's equations" and "Faddeev's Green function" in scattering theory, "Faddeev-Popov ghosts" and "Faddeev-Popov determinant" in gauge theories, "Gardner-Faddeev-Zakharov bracket" for the KdV equation, "Faddeev-Zamolodchikov algebra" in quantum integrable systems, "Faddeev-Reshetikhin-Takhtajan construction" in the theory of quantum groups, knotted solitons in the "Skyrme-Faddeev model" and many others. Ludwig Faddeev founded the St. Petersburg school of modern mathematical physics and distinguished himself by serving the mathematics community for over three decades including his leadership of the International Mathematical Union in the period of 1986-1990. He was conferred numerous prizes and memberships of prestigious institutions in recognition of the importance of his work. These include the Dannie Heineman Prize for Mathematical Physics, the Dirac Medal, the Max Planck Medal, the Shaw Prize and the Lomonosov Gold Medal among others. A gathering of contributions from some of the biggest names in mathematics and physics, this volume serves as a tribute to this legendary figure. Volume contributors include: Fields medalist Sir Michael Atiyah, Jürg Fröhlich, Roman Jackiw, Vladimir Korepin, Nikita Nekrasov, André Neveu, Alexander M Polyakov, Samson Shatashvili, Fedor Smirnov as well as Nobel laureates Frank Wilczek and C N Yang.

This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics.

This volume marks a turning point in the study of Chinese economic history. It arose from a realization that the economic history of China—as opposed to the history of the Chinese economy—had yet to be written. Most histories of the Chinese economy, whether by Western or Chinese scholars, tend to view the economy in institutional or social terms. In contrast, the studies in this volume break new ground by systematically applying economic theory and methods to the study of China. While demonstrating to historians the advantages of an economic perspective, the contributors, comprising both historians and economists, offer important new insights concerning issues of long-standing interest to both disciplines. Part One, on price behavior, presents for the first time preliminary analyses of the incomparably rich and important grain price data from the imperial archives in Beijing and Taibei during the Qing Dynasty (1644–1911). These studies reveal long-term trends in the Chinese economy since the seventeenth century and contain surprising discoveries about market integration, the agricultural economy, and demographic behavior in different regions of China. The essays in Part Two, on market response, deal with different aspects of the economy of Republican China (1912–49), showing that markets for land, labor, and capital sometimes functioned as predicted by models of economic "rationality" but at other times behaved in ways that can be explained only by combining economic analysis with knowledge of political, regional, class, and gender differences. Based on new types of data, they suggest novel interpretations of the Chinese economic experience. The resulting collection is interdisciplinary scholarship of a high order, which weaves together the analytic framework provided by economic theory and the rich texture of social phenomena gathered by accomplished historians. This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1992.