Aristotle's Nicomachean Ethics is one of the most important ethical treatises ever written, and has had a profound influence on the subsequent development of ethics and moral psychology. This collection of newly-commissioned essays, written by both senior and younger scholars in the field, presents a thorough and close examination of the work. The essays address a broad range of issues including the compositional integrity of the Ethics, the nature of desire, the value of emotions, happiness, and the virtues. The result is a volume which will challenge and advance the scholarship on the Ethics, establishing new ways of viewing and appreciating the work for all scholars of Aristotle.

Principia Mathematica was first published in 1910-13; this is the ninth impression of the second edition of 1925-7. The Principia has long been recognised as one of the intellectual landmarks of the century. It was the first book to show clearly the close relationship between mathematics and formal logic. Starting from a minimal number of axioms, Whitehead and Russell display the structure of both kinds of thought. No other book has had such an influence on the subsequent history of mathematical philosophy.

This companion probes the full depth of Kierkegaard's thought revealing its distinctive subtlety. The topics covered include Kierkegaard's views on art and religion, ethics and psychology, theology and politics, and knowledge and virtue. Much attention is devoted to the influence of Kierkegaard on twentieth-century philosophy. New readers will find this the most convenient and accessible guide to Kierkegaard currently available. Advanced students and specialists will find a conspectus of recent developments in the interpretation of Kierkegaard.

This modern textbook offers graduate students a comprehensive and accessible route from fundamental concepts to modern topics, language, and methods in the field. Coverage includes disordered and mesoscopic systems, quantum magnetism, Bose-Einstein condensates, superconductivity, and quantum entanglement. It is an ideal reference for researchers.

Presents the main concepts and essential theoretical methods of the modern quantum theory of solids for graduate students and researchers.
Aimed at graduate students and researchers, this book covers the key aspects of the modern quantum theory of solids, including up-to-date ideas such as quantum fluctuations and strong electron correlations. It presents in the main concepts of the modern quantum theory of solids, as well as a general description of the essential theoretical methods required when working with these systems. Diverse topics such as general theory of phase transitions, harmonic and anharmonic lattices, Bose condensation and superfluidity, modern aspects of magnetism including resonating valence bonds, electrons in metals, and strong electron correlations are treated using unifying concepts of order and elementary excitations. The main theoretical tools used to treat these problems are introduced and explained in a simple way, and their applications are demonstrated through concrete examples.

This modern text describes the remarkable developments in quantum condensed matter physics following the experimental discoveries of quantum Hall effects and high temperature superconductivity in the 1980s. After a review of the phases of matter amenable to an independent particle description, entangled phases of matter are described in an accessible and unified manner. The concepts of fractionalization and emergent gauge fields are introduced using the simplest resonating valence bond insulator with an energy gap, the Z2 spin liquid. Concepts in band topology and the parton method are then combined to obtain a large variety of experimentally relevant gapped states. Correlated metallic states are described, beginning with a discussion of the Kondo effect on magnetic impurities in metals. Metals without quasiparticle excitations are introduced using the Sachdev-Ye-Kitaev model, followed by a discussion of critical Fermi surfaces and strange metals. Numerous end-of-chapter problems expand readers' comprehension and reinforce key concepts.

Topological K-theory is a key tool in topology, differential geometry and index theory, yet this is the first contemporary introduction for graduate students new to the subject. No background in algebraic topology is assumed; the reader need only have taken the standard first courses in real analysis, abstract algebra, and point-set topology. The book begins with a detailed discussion of vector bundles and related algebraic notions, followed by the definition of K-theory and proofs of the most important theorems in the subject, such as the Bott periodicity theorem and the Thom isomorphism theorem. The multiplicative structure of K-theory and the Adams operations are also discussed and the final chapter details the construction and computation of characteristic classes. With every important aspect of the topic covered, and exercises at the end of each chapter, this is the definitive book for a first course in topological K-theory.

Quantum field theory is the basic theory of elementary particle physics. In recent years, many techniques have been developed that extend and clarify this theory. This book develops quantum field theory starting from its foundation in quantum mechanics and incorporates the most modern methods, giving a thoroughly modern pedagogic account that starts from first principles. The path integral formulation is introduced right at the beginning. The method of dimensional continuation is employed to regulate and renormalize the theory. This facilitates the introduction of the concepts of the renormalization group at an early stage. The notion of spontaneous symmetry breakdown is also introduced early on by the example of superfluid helium. Topics in quantum electrodynamics are described that have an analog in quantum chromodynamics. Some novel techniques are employed, such as the use of dimensional continuation to compute the Lamb shift. This book is appropriate as a graduate level text in theoretical physics and particle physics, and is complete with exercises for practice.

An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics - differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.

This book presents the conceptual framework underlying the atomistic theory of matter, emphasizing those aspects that relate to current flow. This includes some of the most advanced concepts of non-equilibrium quantum statistical mechanics. No prior acquaintance with quantum mechanics is assumed. Chapter 1 provides a description of quantum transport in elementary terms accessible to a beginner. The book then works its way from hydrogen to nanostructures, with extensive coverage of current flow. The final chapter summarizes the equations for quantum transport with illustrative examples showing how conductors evolve from the atomic to the ohmic regime as they get larger. Many numerical examples are used to provide concrete illustrations and the corresponding Matlab codes can be downloaded from the web. Videostreamed lectures, keyed to specific sections of the book, are also available through the web. This book is primarily aimed at senior and graduate students.

Finance is one of the fastest growing areas in the modern banking and corporate world. This, together with the sophistication of modern financial products, provides a rapidly growing impetus for new mathematical models and modern mathematical methods; the area is an expanding source for novel and relevant 'real-world' mathematics. In this book the authors describe the modelling of financial derivative products from an applied mathematician's viewpoint, from modelling through analysis to elementary computation. A unified approach to modelling derivative products as partial differential equations is presented, using numerical solutions where appropriate. Some mathematics is assumed, but clear explanations are provided for material beyond elementary calculus, probability, and algebra. Over 140 exercises are included. This volume will become the standard introduction to this exciting new field for advanced undergraduate students.

DescriptionContentsResourcesCoursesAbout the Authors
The first edition of the Cambridge Companion to Plato (1992), edited by Richard Kraut, shaped scholarly research and guided new students for thirty years. This new edition introduces students to fresh approaches to Platonic dialogues while advancing the next generation of research. Of its seventeen chapters, nine are entirely new, written by a new generation of scholars. Six others have been thoroughly revised and updated by their original authors. The volume covers the full range of Plato's interests, including ethics, political philosophy, epistemology, metaphysics, aesthetics, religion, mathematics, and psychology. Plato's dialogues are approached as unified works and considered within their intellectual context, and the revised introduction suggests a way of reading the dialogues that attends to the differences between them while also tracing their interrelations. The result is a rich and wide-ranging volume which will be valuable for all students and scholars of Plato.
Covers all aspects of Plato's philosophy
Argues for interesting new interpretations of Plato's work, while introducing students to the basic issues
Includes essays that explain the philosophical relevance of important background topics, including religion and mathematics, as well as chapters focused on individual dialogues

Why do historians so often talk about objectivity, empathy, and fair-mindedness? What roles do such personal qualities play in historical studies? And why does it make sense to call them virtues rather than skills or habits? Historians' Virtues is the first publication to explore these questions in some depth. With case studies from across the centuries, the Element identifies major discontinuities in how and why historians talked about the marks of a good scholar. At the same time, it draws attention to long-term legacies that last until today. Virtues were, and are, invoked in debates over the historian's task. They reveal how historians position themselves vis-à-vis political regimes, religious traditions, or neoliberal university systems. More importantly, they show that historical study not only requires knowledge and technical skills, but also makes demands on the character of its practitioners. This title is also available as Open Access on Cambridge Core.

Emotional intelligence is an important trait for success at work. IQ tests are biased against minorities. Every child is gifted. Preschool makes children smarter. Western understandings of intelligence are inappropriate for other cultures. These are some of the statements about intelligence that are common in the media and in popular culture. But none of them are true. In the Know is a tour of the most common incorrect beliefs about intelligence and IQ. Written in a fantastically engaging way, each chapter is dedicated to correcting a misconception and explains the real science behind intelligence. Controversies related to IQ will wither away in the face of the facts, leaving readers with a clear understanding about the truth of intelligence.

Where do Asian Americans fit into the U.S. racial order? Are they subordinated comparably to Black people or permitted adjacency to whiteness? The racial reckoning prompted by the police murder of George Floyd and the surge in anti-Asian hate during the COVID-19 pandemic raise these questions with new urgency. Asian Americans in an Anti-Black World is a groundbreaking study that will shake up scholarly and popular thinking on these matters. Theoretically innovative and based on rigorous historical research, this provocative book tells us we must consider both anti-Blackness and white supremacy—and the articulation of the two forces—in order to understand U.S. racial dynamics. The construction of Asian Americans as not-white but above all not-Black has determined their positionality for nearly two centuries. How Asian Americans choose to respond to this status will help to define racial politics in the U.S. in the twenty-first century.

This accessible and entertaining textbook introduces students to both traditional and more contemporary approaches to sociolinguistics in a real-world context, addressing current social problems that students are likely to care about, such as racism, inequality, political conflict, belonging, and issues around gender and sexuality. Each chapter includes exercises, case studies and ideas for small-scale research projects, encouraging students to think critically about the different theories and approaches to language and society, and to interrogate their own beliefs about language and communication. The book gives students a grounding in the traditional concepts and techniques upon which sociolinguistics is built, while also introducing new developments from the last decade, such as translanguaging, multimodality, superdiversity, linguistic landscapes and language and digital media. Students will also have online access to more detailed examples, links to video and audio files, and more challenging exercises to strengthen their skills and confidence as sociolinguists.