In 1988, E. Verlinde gave a remarkable conjectural formula for the dimension of conformal blocks over a smooth curve in terms of representations of affine Lie algebras. Verlinde's formula arose from physical considerations, but it attracted further attention from mathematicians when it was realized that the space of conformal blocks admits an interpretation as the space of generalized theta functions. A proof followed through the work of many mathematicians in the 1990s. This book gives an authoritative treatment of all aspects of this theory. It presents a complete proof of the Verlinde formula and full details of the connection with generalized theta functions, including the construction of the relevant moduli spaces and stacks of G-bundles. Featuring numerous exercises of varying difficulty, guides to the wider literature and short appendices on essential concepts, it will be of interest to senior graduate students and researchers in geometry, representation theory and theoretical physics.

Python is one of the most popular programming languages, widely used for data analysis and modelling, and is fast becoming the leading choice for scientists and engineers. Unlike other textbooks introducing Python, typically organised by language syntax, this book uses many examples from across Biology, Chemistry, Physics, Earth science, and Engineering to teach and motivate students in science and engineering. The text is organised by the tasks and workflows students undertake day-to-day, helping them see the connections between programming tools and their disciplines. The pace of study is carefully developed for complete beginners, and a spiral pedagogy is used so concepts are introduced across multiple chapters, allowing readers to engage with topics more than once. "Try This!" exercises and online Jupyter notebooks encourage students to test their new knowledge, and further develop their programming skills. Online solutions are available for instructors, alongside discipline-specific homework problems across the sciences and engineering.

Take the first steps to ISO 14001 certification with this practical overview. This book provides practical advice on how to achieve compliance with ISO 14001:2015, the international standard for an EMS (environmental management system). With an EMS certified to ISO 14001, you can improve the efficiency of your business operations and fulfil compliance obligations, while reassuring your employees, clients and other stakeholders that you are monitoring your environmental impact. This easy-to-follow guide takes a step-by-step approach, and provides many sample documents to help you understand how to record and monitor your organisation's EMS processes. Ideal for compliance managers, IT and general managers, environmental officers, auditors and trainers, this book will provide you with: The confidence to plan and design an EMS. Detailed descriptions of the ISO 14001:2015 requirements will give you a clear understanding of the standard, even if you lack specialist knowledge or previous experience; Guidance to build stakeholder support for your EMS. Information on why it is important for an organisation to have an environmental policy, and a sample communications procedure will help you to raise awareness of the benefits of implementing an EMS; and Advice on how to become an ISO 14001-certified organisation. The book takes a step-by-step approach to implementing an 1SO 14001-compliant EMS. Key features: A concise summary of the ISO 14001:2015 requirements and how you can meet them. An overview of the documentation needed to achieve ISO 14001:2015 accreditation. Sample documents to help you understand how to record and monitor your organisation's environmental management processes. New for the second edition: Updated for ISO 14001:2015, including terms, definitions and references; Revised approach to take into account requirements to address "risks and opportunities". Your practical guide to implementing an EMS that complies with ISO 14001:2015 - buy this book today to get the help and guidance you need!

Learn how your life connects to the latest discoveries in physics with MODERN PHYSICS FOR SCIENTISTS AND ENGINEERS. This updated fifth edition offers a contemporary, comprehensive approach with a strong emphasis on applications to help you see how concepts in the book relate to the real world. Discussions on the experiments that led to key discoveries illustrate the process behind scientific advances and give you a historical perspective. Included is a thorough treatment of special relativity, an introduction to general relativity, and a solid foundation in quantum theory to help you succeed. An updated WebAssign course features a mobile-friendly ebook and a variety of assignable questions to enhance your learning experience. WebAssign for MODERN PHYSICS FOR SCIENTISTS AND ENGINEERS helps you prepare for class with confidence. Its online learning platform helps you unlearn common misconceptions, practice and absorb what you learn and begin your path as a future physicist or engineer. Tutorials walk you through concepts when you're stuck, and instant feedback and grading let you know where you stand--so you can focus your study time and perform better on in-class assignments and prepare for exams. Study smarter with WebAssign!

This book is a critical interdisciplinary approach to the study of contemporary visual culture and image studies, exploring ideas about space and place and ultimately contributing to the debates about being human in the digital age. The upward and downward pull seem in a constant contest for humanity's attention. Both forces are powerful in the effects and affects they invoke. When tracing this iconological history, Amanda du Preez starts in the early nineteenth century, moving into the twentieth century and then spanning the whole century up to contemporary twenty-first century screen culture and space travels. Du Preez parses the intersecting pathways between Heaven and Earth, up and down, flying and falling through the concept of being "spaced out". The idea of being "spaced out" is applied as a metaphor to trace the visual history of sublime encounters that displace Earth, gravity, locality, belonging, home, real life, and embodiment. The book will be of interest to scholars working in art history, visual culture, media and cultural studies, phenomenology, digital culture, mobility studies, and urban studies.

A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition The long-anticipated revision of this well-liked textbook offers many new additions. In the twenty-five years since the original version of this book was published, much has happened in dynamical systems. Mandelbrot and Julia sets were barely ten years old when the first edition appeared, and most of the research involving these objects then centered around iterations of quadratic functions. This research has expanded to include all sorts of different types of functions, including higher-degree polynomials, rational maps, exponential and trigonometric functions, and many others. Several new sections in this edition are devoted to these topics. The area of dynamical systems covered in A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition is quite accessible to students and also offers a wide variety of interesting open questions for students at the undergraduate level to pursue. The only prerequisite for students is a one-year calculus course (no differential equations required); students will easily be exposed to many interesting areas of current research. This course can also serve as a bridge between the low-level, often non-rigorous calculus courses, and the more demanding higher-level mathematics courses. Features More extensive coverage of fractals, including objects like the Sierpinski carpet and others that appear as Julia sets in the later sections on complex dynamics, as well as an actual chaos "game." More detailed coverage of complex dynamical systems like the quadratic family and the exponential maps. New sections on other complex dynamical systems like rational maps. A number of new and expanded computer experiments for students to perform. About the Author Robert L. Devaney is currently professor of mathematics at Boston University. He received his PhD from the University of California at Berkeley under the direction of Stephen Smale. He taught at Northwestern University and Tufts University before coming to Boston University in 1980. His main area of research is dynamical systems, primarily complex analytic dynamics, but also including more general ideas about chaotic dynamical systems. Lately, he has become intrigued with the incredibly rich topological aspects of dynamics, including such things as indecomposable continua, Sierpinski curves, and Cantor bouquets.

'The Tao of Physics' is Fritjof Capra's classic exploration of the connections between Eastern mysticism and modern physics. An international bestseller, the book's central thesis, that the mystical traditions of the East constitute a coherent philosophical framework within which the most advanced Western theories of the physical world can be accommodated, has not only withstood the test of time but is ever more emphatically endoresed by ongoing experimentation and research.

Fritjof Capra addresses recent scientific developments in this, the third edition, in the form of a chapter-length afterword on 'The Future of the New Physics'.

'The parallels are indeed most striking'
SIR BERNARD LOVELL

'In the role of interpreter of the 'philosophy' of physics today, Dr Capra has few equals'
JOHN GRIBBIN, 'TES'

Since the invention of the laser, our fascination with the photon has led to one of the most dynamic and rapidly growing fields of technology. An explosion of new materials, devices, and applications makes it more important than ever to stay current with the latest advances. Surveying the field from fundamental concepts to state-of-the-art developments, Photonics: Principles and Practices builds a comprehensive understanding of the theoretical and practical aspects of photonics from the basics of light waves to fiber optics and lasers.

Providing self-contained coverage and using a consistent approach, the author leads you step-by-step through each topic. Each skillfully crafted chapter first explores the theoretical concepts of each topic and then demonstrates how these principles apply to real-world applications by guiding you through experimental cases illuminated with numerous illustrations. Coverage is divided into six broad sections, systematically working through light, optics, waves and diffraction, optical fibers, fiber optics testing, and laboratory safety. A complete glossary, useful appendices, and a thorough list of references round out the presentation. The text also includes a 16-page insert containing 28 full-color illustrations.

Containing several topics presented for the first time in book form, Photonics: Principles and Practices is simply the most modern, comprehensive, and hands-on text in the field.

This new book from one of the most published authors in all of mathematics is an attempt to offer a new, more modern take on the Differential Equations course. The world is changing. Because of the theory of wavelets, Fourier analysis is ever more important and central. And applications are a driving force behind much of mathematics.This text text presents a more balanced picture. The text covers differential equations (both ordinary and partial), Fourier analysis and applications in equal measure and with equal weight. The Riemann integral is used throughout. We do not assume that the student knows any functional analysis. We likewise do not assume that the student has had a course in undergraduate real analysis. To make the book timely and exciting, a substantial chapter on basic properties of wavelets, with applications to signal processing and image processing is included. This should give students and instructors alike a taste of what is happening in the subject today.

Differential Geometry of Manifolds, Second Edition presents the extension of differential geometry from curves and surfaces to manifolds in general. The book provides a broad introduction to the field of differentiable and Riemannian manifolds, tying together classical and modern formulations. It introduces manifolds in a both streamlined and mathematically rigorous way while keeping a view toward applications, particularly in physics. The author takes a practical approach, containing extensive exercises and focusing on applications, including the Hamiltonian formulations of mechanics, electromagnetism, string theory. The Second Edition of this successful textbook offers several notable points of revision. New to the Second Edition: New problems have been added and the level of challenge has been changed to the exercises Each section corresponds to a 60-minute lecture period, making it more user-friendly for lecturers Includes new sections which provide more comprehensive coverage of topics Features a new chapter on Multilinear Algebra

The classic case for why government must support science-with a new essay by physicist and former congressman Rush Holt on what democracy needs from science today Science, the Endless Frontier is recognized as the landmark argument for the essential role of science in society and government's responsibility to support scientific endeavors. First issued when Vannevar Bush was the director of the US Office of Scientific Research and Development during the Second World War, this classic remains vital in making the case that scientific progress is necessary to a nation's health, security, and prosperity. Bush's vision set the course for US science policy for more than half a century, building the world's most productive scientific enterprise. Today, amid a changing funding landscape and challenges to science's very credibility, Science, the Endless Frontier resonates as a powerful reminder that scientific progress and public well-being alike depend on the successful symbiosis between science and government. This timely new edition presents this iconic text alongside a new companion essay from scientist and former congressman Rush Holt, who offers a brief introduction and consideration of what society needs most from science now. Reflecting on the report's legacy and relevance along with its limitations, Holt contends that the public's ability to cope with today's issues-such as public health, the changing climate and environment, and challenging technologies in modern society-requires a more capacious understanding of what science can contribute. Holt considers how scientists should think of their obligation to society and what the public should demand from science, and he calls for a renewed understanding of science's value for democracy and society at large. A touchstone for concerned citizens, scientists, and policymakers, Science, the Endless Frontier endures as a passionate articulation of the power and potential of science.

Quants, physicists working on Wall Street as quantitative analysts, have been widely blamed for triggering financial crises with their complex mathematical models. Their formulas were meant to allow Wall Street to prosper without risk. But in this penetrating insider's look at the recent economic collapse, Emanuel Derman--former head quant at Goldman Sachs--explains the collision between mathematical modeling and economics and what makes financial models so dangerous. Though such models imitate the style of physics and employ the language of mathematics, theories in physics aim for a description of reality--but in finance, models can shoot only for a very limited approximation of reality. Derman uses his firsthand experience in financial theory and practice to explain the complicated tangles that have paralyzed the economy. "Models.Behaving.Badly. "exposes Wall Street's love affair with models, and shows us why nobody will ever be able to write a model that can encapsulate human behavior.

Ya. B. Zeldovich was most assuredly one of the greatest physicists and cosmologists of the 20th century. This volume presents reminiscences about this exemplary academician, providing biographical and historical insights from the friends, students, and colleagues who knew him best. They outline Zeldovich's life and achievements, from his early days in chemical physics through his groundbreaking work in combustion and detonation, his role in the development of Soviet nuclear and thermonuclear weapons, and his contributions to nuclear and elementary particle physics, to his later years in cosmology and astrophysics. Zeldovich: Reminiscences not only pays homage to an outstanding scientist and his accomplishments. It also offers incisive commentary on Soviet science and the impact that Zeldovich had on future generations, in the former Soviet Union and throughout the international physics community.

Dynamical systems and the twin field ergodic theory have their roots in the qualitative theory of differential equations, developed by the great mathematician Henri Poincare, and in the kinetic theory of gases built in mathematical terms by physicists James Clerk Maxwell and Ludwig Boltzmann. Together, they aim to model, explain and predict the behavior of natural and artificial phenomena which evolve in time. For more than three decades, Marcelo Viana has been making several outstanding contributions to this area of mathematics. This volume contains a selection of his research papers, covering a wide range of topics: rigorous theory of strange attractors, physical measures, bifurcation theory, homoclinic phenomena, fractal dimensions, partial hyperbolicity, thermodynamic formalism, non-uniform hyperbolicity, interval exchange maps Teichmuller flows, and the modern theory of Lyapunov exponents. Marcelo Viana, a world leader in this field, has been the object of several academic distinctions, such as the inaugural Ramanujan prize of the International Centre for Theoretical Physics, and the Louis D. Scientific Grand Prix of the Institut de France. He is also recognized for his broad contribution to the mathematical community, in his country and region as well as in the international arena.

One of the most enduring elements in theoretical physics has been group theory. GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field. The applications of group theory presented in this book deal not only with the traditional fields of physics, but also include such disciplines as chemistry and biology.
Awarded the Wigner Medal and the Weyl Prize, respectively, H.J. Lipkin and E. Frenkel begin the volume with their contributions. Plenary session contributions are represented by 18 longer articles, followed by nearly 200 shorter articles. The book also presents coherent states, wavelets, and applications and quantum group theory and integrable systems in two separate sections.
As a record of an international meeting devoted to the physical and mathematical aspects of group theory, GROUP 24: Physical and Mathematical Aspects of Symmetries constitutes an essential reference for all researchers interested in various current developments related to the important concept of symmetry.

From classical mechanics and classical electrodynamics to modern quantum mechanics many physical phenomena are formulated in terms of similar partial differential equations while boundary conditions determine the specifics of the problem. This 45th anniversary edition of the advanced book classic Mathematical Methods for Physics demonstrates how many physics problems resolve into similar inhomogeneous partial differential equations and the mathematical techniques for solving them. The text has three parts: Part I establishes solving the homogenous Laplace and Helmholtz equations in the three main coordinate systems, rectilinear, cylindrical, and spherical and develops the solution space for series solutions to the Sturm-Liouville equation, indicial relations, and the expansion of orthogonal functions including spherical harmonics and Fourier series, Bessel, and Spherical Bessel functions. Many examples with figures are provided including electrostatics, wave guides and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, and plane and spherical waves. In Part II the inhomogeneous equations are addressed where source terms are included for Poisson's equation, the wave equation, and the diffusion equation. Coverage includes many examples from averaging approaches for electrostatics and magnetostatics, from Green function solutions for time independent and time dependent problems, and from integral equation methods. In Part III complex variable techniques are presented for solving integral equations involving Cauchy Residue theory, contour methods, analytic continuation, and transforming the contour; for addressing dispersion relations; for revisiting special functions in the complex plane; and for transforms in the complex plane including Green's functions and Laplace transforms. Key Features: * Mathematical Methods for Physics creates a strong, solid anchor of learning and is useful for reference. * Lecture note style suitable for advanced undergraduate and graduate students to learn many techniques for solving partial differential equations with boundary conditions * Many examples across various subjects of physics in classical mechanics, classical electrodynamics, and quantum mechanics * Updated typesetting and layout for improved clarity This book, in lecture note style with updated layout and typesetting, is suitable for advanced undergraduate, graduate students, and as a reference for researchers. It has been edited and carefully updated by Gary Powell.

The 26th International Conference on the Physics of Semiconductors was held from 29 July to 2 August 2002 at the Edinburgh International Conference Centre. It is the premier meeting in the field of semiconductor physics and attracted over 1000 participants from leading academic, governmental and industrial institutions in some 50 countries around the world. Plenary and invited papers (34) have been printed in the paper volume, and all submitted papers (742) are included on the downloadable resources.These proceedings provide an international perspective on the latest research and a review of recent developments in semiconductor physics. Topics range from growth and properties of bulk semiconductors to the optical and transport properties of semiconductor nanostructures. There are 742 papers, mostly arranged in chapters on Bulk, dynamics, defects and impurities, growth (147); Heterostructures, quantum wells, superlattices - optical (138); Heterostructures, quantum wells, superlattices - transport (97); Quantum nanostructures - optical (120); Quantum nanostructures - transport (85); New materials and concepts (52); Novel devices (43); and Spin and magnetic effects (48). A number of trends were identified in setting up the overall programme of the conference. There were significant contributions from new directions of research such as nanostructures and one-dimensional physics; spin effects and ferromagnetism; and terahertz and subband physics. These complemented areas in which the conference has traditional strengths, such as defects and bulk materials; crystal growth; quantum transport; and optical properties.As a record of a conference that covers the whole range of semiconductor physics, this book is an essential reference for researchers working on semiconductor physics, device physics, materials science, chemistry, and electronic and electrical engineering.

Although many books have been written about Mathematica, very few of them cover the new functionality added to the most recent versions of the program. This thoroughly revised second edition of Mathematica Beyond Mathematics: The Wolfram Language in the Real World introduces the new features using real-world examples based on the experience of the author as a consultant and Wolfram certified instructor. The examples strike a balance between relevance and difficulty in terms of Mathematica syntax, allowing readers to incrementally build up their Mathematica skills as they go through the chapters While reading this book, you will also learn more about the Wolfram Language and how to use it to solve a wide variety of problems. The author raises questions from a wide range of topics and answers them by taking full advantage of Mathematica's latest features. For example: What sources of energy does the world really use? Are our cities getting warmer? Is the novel El Quixote written in Pi? Is it possible to reliably date the Earth using radioactive isotopes? How can we find planets outside our solar system? How can we model epidemics, earthquakes and other natural phenomena? What is the best way to compare organisms genetically? This new edition introduces the new capabilities added to the latest version of Mathematica (version 13), and discusses new topics related to machine learning, big data, finance economics, and physics. New to the Second Edition Separate sections containing carefully selected additional resources that can be accessed from either Mathematica or online Online Supplementary materials including code snippets used in the book and additional examples. Updated commands to take full advantage of Mathematica 13.

Transform every student's potential with Freedman's College Physics and Achieve Now available for the first time with Macmillan's new online learning tool Achieve, Freedman's College Physics makes it easy for instructors to support every student by using best teaching practices in their algebra-based physics courses. With resources for before, during, and after class, students of all backgrounds are engaged and supported at every step of the learning process. The text further supports student comprehension with its hallmark Set Up, Solve, Reflect problem-solving approach to help students understand and visualize problems. Perfect for students of all backgrounds, the text contains call-outs to additional math review and relevant applications of physics, including those from biology. In this edition, the end-of-chapter questions have been thoroughly updated for clarity and quality and over 80% are now available for assigning in Achieve, while still featuring detailed and targeted feedback, solutions, and hints for every question.

The book draws on Prof. Perkowitz's career as successful researcher, teacher, and writer and his broad interests to give him unique insights into how science and scientists connect with general culture and society. The book is especially strong in its coverage of science and art, and science in film. Illustrations from Hollywood films and independent and experimental films increase the book's appeal. The book's mix of varied topics in science and technology, and of short and long pieces written in accessible style, will appeal to general readers.

Richard P. Feynman made profoundly important and prescient contributions to the physics of computing, notably with his seminal articles "There's Plenty of Room at the Bottom" and "Simulating Physics with Computers." These two provocative papers (both reprinted in this volume) anticipated, decades before their time, several breakthroughs that have since become fields of science in their own right, such as nanotechnology and the newest, perhaps most exciting area of physics and computer science, quantum computing.The contributors to this book are all distinguished physicists and computer scientists, and many of them were guest lecturers in Feynman's famous CalTech course on the limits of computers. they include Charles Bennett on Quantum Information Theory, Geoffrey Fox on Internetics, Norman Margolus on Crystalline Computation, and Tommaso Toffoli on the Fungibility of Computation.Both a tribute to Feynman and a new exploration of the limits of computers by some of today's most influential scientists, "Feynman and Computation" continues the pioneering work started by Feynman and published by him in his own Lectures on Computation. This new computation volume consists of both original chapters and reprints of classic papers by leaders in the field. "Feynman and Computation" will generate great interest from the scientific community and provide essential background for further work in this field.

Wolfgang Pauli, world-renowned physicist, turned to Carl Jung for help, setting a standing appointment for Mondays at noon. Thus bloomed an extraordinary intellectual conjunction. Eighty letters, written over twenty-six years, record that friendship, and are published here in English for the first time.Through the association of these two pioneering thinkers, developments in physics profoundly influenced the evolution of Jungian psychology. And many of Jung's abiding themes shaped how Pauli - and, through him, other physicists - understood the physical world. Atom and Archetype will appeal not only to those interested in the life of Pauli or Jung, but also to the educated general reader.

This textbook is created from the author's successful, Advanced Engineering Mathematics. The previous volume is now split into two books to offer more flexibility. Reviewers have endorsed the split. The author's best-selling book, Green's Functions, is distilled here, as well as coverage of complex variables, Z and Hilbert transforms, probability and random processes, and a unique coverage of Ito's stochastic calculus. The topics are driven by applications and MatLab is used throughout. This book offers flexibility in a course where many competitors are now over 1000 pages and very expensive. This second book covers topics normally taught in the second or third term of an AEM course.

Lewis Carroll Epstein explains deep ideas in physics in an easy-to-understand way. Thinking Physics is a perfect beginners guide to an amazingly wide range of physics-related questions. The book targets topics that science teachers and students spend time wondering about, like wing lift. Epstein elucidates the familiar but misunderstood such as how tides work along with more obscure but fascinating phenomena like the Bernoulli sub and the artificial aurora created by hydrogen bombs. Broken into many short sections and peppered with Epsteins own playful hand-drawn illustrations, the book does not simply give the right answer: It also goes into the answers that seem right but are wrong and shows why they are wrong a rarity in science books. Thinking Physics is a rigorously correct, lighthearted, and cleverly designed Q and A book for physicists of all ages.