Using the latest scientific imagery along with cutting edge CGI and some of the most spectacular and extreme locations on Earth, Brian will show us Wonders never thought possible.Employing his trademark clear, authoritative, yet down-to-earth approach, Brian will explore how these previously unseen phenomena have dramatically expanded our horizons with new discoveries about the planets, their moons and how they came to be the way they are.

    The manual also features a skills section, important notes from key sections of the text, and a list of important equations and concepts.

    Inspired by and expanding on a series of lectures presented by Leonard Peikoff, David Harriman presents a fascinating answer to the problem of induction-the epistemological question of how we can know the truth of inductive generalizations.Ayn Rand presented her revolutionary theory of concepts in her book Introduction to Objectivist Epistemology. As Dr. Peikoff subsequently explored the concept of induction, he sought out David Harriman, a physicist who had taught philosophy, for his expert knowledge of the scientific discovery process.Here, Harriman presents the result of a collaboration between scientist and philosopher. Beginning with a detailed discussion of the role of mathematics and experimentation in validating generalizations in physics-looking closely at the reasoning of scientists such as Galileo, Kepler, Newton, Lavoisier, and Maxwell-Harriman skillfully argues that the inductive method used in philosophy is in principle indistinguishable from the method used in physics.

    Nor do you need to be a great scientist to appreciate the exciting discoveries and intriguing mysteries of our universe. Dr. Robert piccioni brings the excitement of modern scientific discoveries to general audiences. He makes the key facts and concepts understandable without "dumbing" them down. He presents them in a friendly, conversational manner and includes many personal anecdotes about the people behind the science. With 33 images and over 100 graphics, this book explains the real science behind the headlines and sound bites. Learn all about:our universe: how big? how old? what came before?the big bang, black holes and supernovaequantum mechanics and uncertaintyhow the immense and the minute are connectedwhat is special about general relativityhow mankind can become earth's best friend

    A number of the key figures in the new edition are revised to provide a more inviting and informative treatment. The figures are broken into component parts with supporting commentary so that they can more readily see the key ideas. Material from The Flying Circus is incorporated into the chapter opener puzzlers, sample problems, examples and end-of-chapter problems to make the subject more engaging. Checkpoints enable them to check their understanding of a question with some reasoning based on the narrative or sample problem they just read. Sample Problems also demonstrate how engineers can solve problems with reasoned solutions.

    In their new book, Stephen Hawking and Leonard Mlodinow present the most recent scientific thinking about the mysteries of the universe, in nontechnical language marked by both brilliance and simplicity. In The Grand Design they explain that according to quantum theory, the cosmos does not have just a single existence or history, but rather that every possible history of the universe exists simultaneously. When applied to the universe as a whole, this idea calls into question the very notion of cause and effect. But the “top-down” approach to cosmology that Hawking and Mlodinow describe would say that the fact that the past takes no definite form means that we create history by observing it, rather than that history creates us. The authors further explain that we ourselves are the product of quantum fluctuations in the very early universe, and show how quantum theory predicts the “multiverse”—the idea that ours is just one of many universes that appeared spontaneously out of nothing, each with different laws of nature.Along the way Hawking and Mlodinow question the conventional concept of reality, posing a “model-dependent” theory of reality as the best we can hope to find. And they conclude with a riveting assessment of M-theory, an explanation of the laws governing us and our universe that is currently the only viable candidate for a complete “theory of everything.” If confirmed, they write, it will be the unified theory that Einstein was looking for, and the ultimate triumph of human reason.A succinct, startling, and lavishly illustrated guide to discoveries that are altering our understanding and threatening some of our most cherished belief systems, The Grand Design is a book that will inform—and provoke—like no other.'

    It shouldn't be like that. Learning calculus without mechanics is incredibly boring. Learning mechanics without calculus is missing the point. This textbook integrates both subjects and highlights the profound connections between them.This is the deal. Give me 350 pages of your attention, and I'll teach you everything you need to know about functions, limits, derivatives, integrals, vectors, forces, and accelerations. This book is the only math book you'll need for the first semester of undergraduate studies in science.With concise, jargon-free lessons on topics in math and physics, each section covers one concept at the level required for a first-year university course. Anyone can pick up this book and become proficient in calculus and mechanics, regardless of their mathematical background.Visit http://minireference.com for more details.

    The book is in full colour and includes a free CD-ROM. Topics are introduced in terms of their relevance to life in the 21st century. The CD-ROM offers a full range of supporting activities for independent learning, with exemplar examination questions and worked answers with commentary. Activity sheets and accompanying notes are also included on the CD-ROM Table Of Contents: Introduction; Block 1. General physics; Chapter 1. Making measurements; Chapter 2. Describing motion; Chapter 3. Forces and motion; Chapter 4. Turning effects of forces; Chapter 5. Forces and matter; Chapter 6. Energy transformations and energy transfers; Chapter 7. Energy resources; Chapter 8. Work and power; Block 2. Thermal physics; Chapter 9. The kinetic model of matter; Chapter 10. Thermal properties of matter; Chapter 11. Thermal energy transfers; Block 3. Physics of waves; Chapter 12. Sound; Chapter 13. Light; Chapter 14. Properties of waves; Chapter 15. Spectra; Block 4. Electricity and magnetism; Chapter 16. Magnetism; Chapter 17. Static electricity; Chapter 18. Electrical quantities; Chapter 19. Electric circuits; Chapter 20. Electromagnetic forces; Chapter 21. Electromagnetic induction; Block 5. Atomic physics; Chapter 22. The nuclear atom; Chapter 23. Radioactivity; Glossary of physics terms. Special Features: Cambridge IGCSE Physics Coursebook with CD-ROM

    These tiny, ghostly particles are formed by the billions in stars and pass through us constantly, unseen, at almost the speed of light. Yet half a century after their discovery, we still know less about them than all the other varieties of matter that have ever been seen. In this engaging, concise volume, renowned scientist and popular writer Frank Close gives a vivid account of the discovery of neutrinos and our growing understanding of their significance, also touching on some speculative ideas concerning the possible uses of neutrinos and their role in the early universe. Close begins with the early history of the discovery of radioactivity by Henri Becquerel and Marie and Pierre Curie, the early model of the atom by Ernest Rutherford, and problems with these early atomic models, and Wolfgang Pauli's solution to that problem by inventing the concept of neutrino (named by Enrico Fermi, neutrino being Italian for little neutron). The book describes how the confirmation of Pauli's theory didn't occur until 1956, when Clyde Cowan and Fred Reines detected neutrinos, and reveals that the first natural neutrinos were finally detected by Reines in 1965 (before that, they had only been detected in reactors or accelerators). Close takes us to research experiments miles underground that are able to track neutrinos' fleeting impact as they pass through vast pools of cadmium chloride and he explains why they are becoming of such interest to cosmologists--if we can track where a neutrino originated we will be looking into the far distant reaches of the universe. In telling the story of the neutrino, Close offers a fascinating portrait of a strand of modern physics that sheds light on everything from the workings of the atom and the power of the sun.

    This book features almost three hundred problems and solutions worked out in detail, dealing with classical physics topics such as mechanics, thermodynamics, electrodynamics, magnetism and optics. Posed in accessible language and requiring only elementary calculus, these problems are intended to strengthen students' knowledge of the laws of physics by applying them to practical situations in a fun and instructive way. These problems and solutions challenge students of physics, stretching their abilities through practice and a thorough comprehension of ideas.

    This resource is ideal for ultrasound programs requiring a certification review manual for either a review course or for use throughout the curriculum, as well as any professional preparing for certification. Questions and answers are included within the text.A companion website offers an online exam simulation, customizable for both ARDMS and ARRT exam formats.

    Emmy Noether proved her theorem in 1915 and published it in 1918. This profound concept demonstrates the connection between conservation laws and symmetries. For instance, the theorem shows that a system invariant under translations of time, space, or rotation will obey the laws of conservation of energy, linear momentum, or angular momentum, respectively. This exciting result offers a rich unifying principle for all of physics.Dwight E. Neuenschwander's introduction to the theorem's genesis, applications, and consequences artfully unpacks its universal importance and unsurpassed elegance. Drawing from over thirty years of teaching the subject, Neuenschwander uses mechanics, optics,geometry, and field theory to point the way to a deep understanding of Noether's Theorem. The three sections provide a step-by-step, simple approach to the less-complex concepts surrounding the theorem, in turn instilling the knowledge and confidence needed to grasp the full wonder it encompasses. Illustrations and worked examples throughout each chapter serve as signposts on the way to this apex of physics.Noether's Theorem is an essential principle of post-introductory physics. This handy guide includes end-of-chapter questions for review and appendixes detailing key related physics concepts for further study.

    This volume also covers topics on Units and Dimensions, Mechanics and Thermal Physics.The text has been rearranged as per the IIT-JEE syllabus and many small topics have been included in the original chapters to make the coverage more complete. These include Net Motion, Constrained Motion, Projection on the Inclined Plane, etc. A new chapter on Circular Motion has been created by collation of material on Kinematics of Circular Motion from the chapters on Two- and Three-Dimensional Motion and Dynamics of Circular Motion.A number of additional problems and solved examples have been included to cover all requirements of IIT-JEE examination. The book offers a unique problem-solving technique: 4Cs (Conceptualize, Classify, Compute and Categorize), which guides students towards stepwise problem-solving.The revised edition contains new end of chapter material containing all question types as per IIT-JEE pattern: Reasoning and Assertion type, Multiple-choice and Problems.About The AuthorsDavid Halliday is associated with the University of Pittsburgh as Professor Emeritus. As department chair in 1960, he and Robert Resnick collaborated on Physics for Students of Science and Engineering and then on Fundamentals of Physics. Fundamentals is currently in its eighth edition and has since been handed over from Halliday and Resnick to Jearl Walker. Dr. Halliday is retired and resides in Seattle.Robert Resnick is professor emeritus at Rensselaer and the former Edward P.Hamilton Distinguished Professor of Science

    How exactly did they come to this precise conclusion? How Old Is the Universe? tells the incredible story of how astronomers solved one of the most compelling mysteries in science and, along the way, introduces readers to fundamental concepts and cutting-edge advances in modern astronomy.The age of our universe poses a deceptively simple question, and its answer carries profound implications for science, religion, and philosophy. David Weintraub traces the centuries-old quest by astronomers to fathom the secrets of the nighttime sky. Describing the achievements of the visionaries whose discoveries collectively unveiled a fundamental mystery, he shows how many independent lines of inquiry and much painstakingly gathered evidence, when fitted together like pieces in a cosmic puzzle, led to the long-sought answer. Astronomers don't believe the universe is 13.7 billion years old--they know it. You will too after reading this book. By focusing on one of the most crucial questions about the universe and challenging readers to understand the answer, Weintraub familiarizes readers with the ideas and phenomena at the heart of modern astronomy, including red giants and white dwarfs, cepheid variable stars and supernovae, clusters of galaxies, gravitational lensing, dark matter, dark energy and the accelerating universe--and much more. Offering a unique historical approach to astronomy, How Old Is the Universe? sheds light on the inner workings of scientific inquiry and reveals how astronomers grapple with deep questions about the physical nature of our universe.

    But traditional presentations of this material are often difficult to penetrate. Statistical Physics of Biomolecules: An Introduction brings "down to earth" some of the most intimidating but important theories of molecular biophysics.With an accessible writing style, the book unifies statistical, dynamic, and thermodynamic descriptions of molecular behavior using probability ideas as a common basis. Numerous examples illustrate how the twin perspectives of dynamics and equilibrium deepen our understanding of essential ideas such as entropy, free energy, and the meaning of rate constants. The author builds on the general principles with specific discussions of water, binding phenomena, and protein conformational changes/folding. The same probabilistic framework used in the introductory chapters is also applied to non-equilibrium phenomena and to computations in later chapters. The book emphasizes basic concepts rather than cataloguing a broad range of phenomena. Focuses on what students need to know now Students build a foundational understanding by initially focusing on probability theory, low-dimensional models, and the simplest molecular systems. The basics are then directly developed for biophysical phenomena, such as water behavior, protein binding, and conformational changes. The book's accessible development of equilibrium and dynamical statistical physics makes this a valuable text for students with limited physics and chemistry backgrounds.

    Insight into the interpretation of landscapes is developed from basic principles and simple models, and by stepping through the equations that capture the essence of the mechanics and chemistry of landscapes. Boxed worked examples and real-world applications bring the subject to life for students, allowing them to apply the theory to their own experience. The book covers cutting edge topics, including the revolutionary cosmogenic nuclide dating methods and modeling, highlights links to other Earth sciences through up-to-date summaries of current research, and illustrates the importance of geomorphology in understanding environmental changes. Setting up problems as a conservation of mass, ice, soil, or heat, this book arms students with tools to fully explore processes, understand landscapes, and to participate in this rapidly evolving field.

    It is only necessary for me to explain what I mean by a mathematician, and what I mean byphysics.By a mathematician I mean some one who has been trained in modern mathematics and been inculcated with its general outlook. ... And by physics I mean -- well, physics, what physicists mean by physics, i.e., the actual study of physical objects ... (rather than the study of symplectic structures on cotangent bundles, for example). In addition to presenting the advanced physics, which mathematicians find so easy, I also want to explore the workings of elementary physics ... which I have always found so hard to fathom.As these remarks probably reveal, basically I have written this work in order to learn the subject myself, in a form that I find comprehensible. And readers familiar with some of my previous books probably realize that this has pretty much been the reason for those works also. ...Perhaps this travelogue of an innocent abroad in a very different field will also turn out to be a book that mathematicians will like.

    The book is amply illustrated to help the students grasp the concept clearly.

    Students can investigate the physical processes sustaining the energy output of stars during each stage of their evolution and which drive the progression from one stage to the next, and examine the relationship between different stages of stellar evolution and the production of the chemical elements. The textbook contains a wealth of worked examples and exercises with full solutions. Summaries, key facts and equations are clearly identified, and there are full colour illustrations throughout. Drawing on decades of experience in supported learning and independent study, this textbook is an ideal bridging text for astrophysics and physics majors looking to move on from the introductory texts. Accompanying resources to this textbook are available at: http: //www.cambridge.org/features/astrophysics

    Building on the concepts and techniques taught in standard undergraduate courses, this textbook provides the astronomical and astrophysical background for students to explore more advanced topics. Special emphasis is given to the underlying physical principles of high energy astrophysics, helping students understand the essential physics. Now consolidated into a single-volume treatment, the third edition has been completely rewritten. It covers the most recent discoveries in areas such as gamma-ray bursts, ultra-high energy cosmic rays and ultra-high energy gamma rays. The topics have been rearranged and streamlined to make them more applicable to a wide range of different astrophysical problems.

    The 'Foundation' section develops the formalism in six chapters, and uses it in the next four chapters to discuss four key applications - spherical spacetimes, black holes, gravitational waves and cosmology. The six chapters in the 'Frontier' section describe cosmological perturbation theory, quantum fields in curved spacetime, and the Hamiltonian structure of general relativity, among several other advanced topics, some of which are covered in-depth for the first time in a textbook. The modular structure of the book allows different sections to be combined to suit a variety of courses. Over 200 exercises are included to test and develop the reader's understanding. There are also over 30 projects, which help readers make the transition from the book to their own original research.

    Focus your revision, build your confidence and strengthen your exam technique with this revision guide for AS and A-level international physics.

    This book introduces physicists to many of the fascinating mathematical aspects of group theory, and mathematicians to its physics applications. Designed for advanced undergraduate and graduate students, this book gives a comprehensive overview of the main aspects of both finite and continuous group theory, with an emphasis on applications to fundamental physics. Finite groups are extensively discussed, highlighting their irreducible representations and invariants. Lie algebras, and to a lesser extent Kac-Moody algebras, are treated in detail, including Dynkin diagrams. Special emphasis is given to their representations and embeddings. The group theory underlying the Standard Model is discussed, along with its importance in model building. Applications of group theory to the classification of elementary particles are treated in detail.

    It covers all the basics we learnt at school from: What is physics?; Motion and forces; Work and energy; Matter and heat; and Electricity and magnetism. It even covers the more thought-provoking and complex questions of relativity, quantum physics and astrophysics, as well as all the exciting philosophical questions that arise out of these subjects.

    Again, Chapters 1 through 13 include worked out-solutions following the complete 7-step problem solving method from the text for Problems and Additional Problems. Chapters 14 through 40 continue to use the 7-step problem solving method for challenging (one bullet) and most challenging (two bullet) Problems and Additional Problems, while switching to a more abbreviated solution for the less challenging (no bullet) Problems and Additional Problems.

    From determining the atmospheric properties of transiting exoplanets to measuring the planetary orbit's alignment with the stellar spin, students will discover what these measurements imply for reinvigorated theories of planet formation and evolution. Worked examples and exercises with full solutions help students to assess their understanding of concepts and results. Key points and equations are highlighted to make them easily identifiable, and there are full color illustrations throughout. Bridging the gap between introductory, non-mathematical texts and more advanced textbooks, this book is ideal for students with some background in mathematics, physics and astronomy. Accompanying resources to this textbook are available at: http: //www.cambridge.org/features/astrophysics

    'Modern Semiconductor Devices for Integrated Circuits' introduces students to the world of modern semiconductor devices with an emphasis on integrated circuit applications.

    The textbook introduces students to basic geometric concepts, such as metrics, connections and curvature, before examining general relativity in more detail. It shows the observational evidence supporting the theory, and the description general relativity provides of black holes and cosmological space-times. The textbook is in full colour, with numerous worked examples and exercises with solutions. Key points and equations are highlighted for easy identification, and each chapter ends with a summary list of important concepts and results. This textbook provides the essential background for an up-to-date discussion of modern observational cosmology. Each chapter builds on the previous one as concepts are developed, making it ideal for self-study. Accompanying resources to this textbook are available at: http: //www.cambridge.org/features/astrophysics

    

    Numerous solved examples and practice questions are given in the text for easy understanding of the subject. Over 1200 illustrations and photographs of various antennas helps in clear understanding of the concepts. With this new content, the book has taken an entirely new shape and promises to be one stop solution on the subject for the user.

    Written for laboratory work in a course on signals and systems, this book presents a corresponding MATLAB implementation for each theoretical concept introduced, making it a powerful learning tool for engineers, scientists, and students alike.MATLAB code is used in problems and examples presented throughout the book. This code and other learning materials are available in a downloadable supplement.Due to the extensive--and truly unique--integration of MATLAB throughout this book, the authors provide a complete tutorial on use of the language for signals and systems analysis. With more than 5,000 lines of MATLAB code and more than 700 figures embedded in the text, the material teaches readers how to program in MATLAB and study signals and systems concepts at the same time, giving them the tools to harness the power of computers to quickly assess problems and then visualize their solutions.Among its many useful features, this book:Offers complete coverage of the signals and systems theory, starting with elementary signals and concluding with state-space modeling Contains more than 400 examples and chapter-end solved problems Executes commands one-by-one at the MATLAB command prompt, and results, along with comments, encouraging students to learn MATLAB on the fly Additional Pedagogical Features: A detailed MATLAB tutorial to introduce a beginner programmer to the language Laboratory exercises that give students hands-on experience and help professors organize a course laboratory component Presentation of continuous- and discrete-time in parallel fashion, effectively illustrating the similarities and differences between the two Step-by-step examples that present data in tabular format and usually offer several different solutions to each problem

    Each section starts with a description of a new topic and some basic examples. The author then demonstrates the use of new commands through three categories of problems- the first category highlights those essential parts of the text that demonstrate the use of new commands in Mathematica whilst solving each problem presented;- the second comprises problems that further demonstrate the use of commands previously introduced to tackle different situations; and- the third presents more challenging problems for further study.The intention is to enable the reader to learn from the codes, thus avoiding long and exhausting explanations.While based on a computer algebra course taught to undergraduate students of mathematics, science, engineering and finance, the book also includes chapters on calculus and solving equations, and graphics, thus covering all the basic topics in Mathematica. With its strong focus upon programming and problem solving, and an emphasis on using numerical problems that do not need any particular background in mathematics, this book is also ideal for self-study and as an introduction to researchers who wish to use Mathematica as a computational tool.Mathematica®: A Problem-Centered Approach comes with a free 30 day trial of the Wolfram Mathematica(R) software'

    Encouraging students' development of intuition, this original work begins with a review of basic mathematics and advances to infinite series, complex algebra, differential equations, and Fourier series. Succeeding chapters explore multivariable and vector calculus, partial differential equations, numerical and complex analysis, tensors, complex analysis, and more. 2010 edition.

    Whereas there are several textbooks available for the graduate electromagnetics course, no textbook is available for the advanced course on computational electromagnetics. This book is intended to fill this void and present electromagnetic theory in a systematic manner so that students can advance from the first course to the second without much difficulty. Even though the first part of the book covers the standard basic electromagnetic theory, the coverage is different from that in existing textbooks. This is mainly the result of the undergraduate curriculum reform that occurred during the past two decades. Many universities reduced the number of required courses in order to give students more freedom to design their own portfolio. As a result, only one electromagnetics course is required for undergraduate students in most electrical engineering departments in the country. New graduate students come to take the graduate electromagnetics course with a significant difference in their knowledge of basic electromagnetic theory. To meet the challenge to benefit all students of backgrounds, this book covers both fundamental theories, such as vector analysis, Maxwell's equations and boundary conditions, and transmission line theory, and advanced topics, such as wave transformation, addition theorems, and scattering by a layered sphere.

    Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject.It covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples.Over 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors.The book covers key foundation topics:o Taylor series methodso Runge--Kutta methodso Linear multistep methodso Convergenceo Stabilityand a range of modern themes:o Adaptive stepsize selectiono Long term dynamicso Modified equationso Geometric integrationo Stochastic differential equationsThe prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com

    Focusing on action extremization, the book develops the structure and predictions of general relativity by analogy with familiar physical systems. Topics ranging from classical field theory to minimal surfaces and relativistic strings are covered in a homogeneous manner. Nearly 150 exercises and numerous examples throughout the textbook enable students to test their understanding of the material covered. A tensor manipulation package to help students overcome the computational challenge associated with general relativity is available on a site hosted by the author. A link to this and to a solutions manual can be found at www.cambridge.org/9780521762458.

    Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications.

    government has officially set the number of nuclear weapons accidents at thirty-six Broken Arrows. After several years of research and dozens of Freedom of Information Act requests, the authors present documentation on previously classified nuclear weapons accidents in their new book "Broken Arrow, Volume II".

    The text is written for some flexibility in the order of the topics. Much of the text includes computer simulation using PSpice as a supplement to analytical circuit solution techniques.

    The textbook introduces students to a unique blend of astrophysical principles, including the evolutionary history of compact binary stars, the physics of accretion and accretion disc outbursts, the observed signatures of such discs in binary stars and active galactic nuclei, the X-ray emission of accreting compact bodies, and the physics of astrophysical jets and gamma-ray bursts. Worked examples, exercises with complete solutions, full-colour figures and informative chapter summaries guide students through their studies. Boxed equations and key facts highlight important points. Produced by academics drawing on decades of experience delivering courses for The Open University and concentrating on supported learning, this textbook is an ideal guide for self-study. Accompanying resources to this textbook are available at: http: //www.cambridge.org/features/astrophysics

    The textbook covers recent developments such as precision cosmology and the concordance cosmological model, inflation, gravitational lensing, the extragalactic far-infrared and X-ray backgrounds, downsizing and baryon wiggles. It also explores the future missions and facilities likely to dominate cosmological research in the future, including radio, X-ray, submillimeter-wave and gravitational wave astronomy. Each chapter contains full-color figures, worked examples and exercises with complete solutions. Clearly identified key facts and equations help students easily locate important information. Suggestions for further reading provide jumping-off points for students aiming to further their studies. Reflecting decades of Open University experience in undergraduate teaching, this textbook brings students to the forefront of the rapidly developing field of observational cosmology. Accompanying resources to this textbook are available at: http: //www.cambridge.org/features/astrophysics

    It has a complete and integrated coverage suitable for someone who wants to understand the underlying concepts of the subject. Salient Features: Usage of SI Units throughout the book Coverage of all important topics like Fluctuations in equilibrium, Properties of the equilibrium situation, Statistical ensembles, Probability calculations, Small heat transfer, Microscopic theory and microscopic measurement Rich pedagogy 162 Figures 150 Problems 37 Examples Table of Contents 1. Characteristic Features of Macroscopic Systems 2. Basic Probability Concepts 3. Statistical Description of Systems of Particles 4. Thermal Interaction 5. Microscopic Theory and Macroscopic Measurements 6. Canonical Distribution in the Classical Approximation 7. General Thermodynamic Interaction 8. Elementary Kinetic Theory of Transport Processes

    Written in a pedagogical style, the main chapters give a detailed account of the established theory, with derivation of formulas. Being self-contained, it is a useful textbook for advanced undergraduate students and graduate students. Essential materials from General Relativity, theory of Gaussian random fields and quantum field theory are collected in the appendices. The more advanced topics are approached similarly in a pedagogical way. These parts may serve as a detailed introduction to current research.

    Rather than concentrating on technical skills, it focuses on a deeper understanding of the subject by providing many unusual and challenging examples. The basic topics of vector geometry, differentiation and integration in several variables are explored. It also provides numerous computer illustrations and tutorials using MATLAB(R) and Maple(R), that bridge the gap between analysis and computation.Features: -Includes numerous computer illustrations and tutorials using MATLAB(R) and Maple(R)-Covers the major topics of vector geometry, differentiation, and integration in several variables-Instructors' ancillaries available upon adoption

    The authors pay special attention to issues that many engineers and students find difficult to understand.The first part of the book contains chapters on arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, functions of complex variables, integral transforms, ordinary and partial differential equations, special functions, and probability theory. The second part discusses molecular physics and thermodynamics, electricity and magnetism, oscillations and waves, optics, special relativity, quantum mechanics, atomic and nuclear physics, and elementary particles. The third part covers dimensional analysis and similarity, mechanics of point masses and rigid bodies, strength of materials, hydrodynamics, mass and heat transfer, electrical engineering, and methods for constructing empirical and engineering formulas.The main text offers a concise, coherent survey of the most important definitions, formulas, equations, methods, theorems, and laws. Numerous examples throughout and references at the end of each chapter provide readers with a better understanding of the topics and methods. Additional issues of interest can be found in the remarks. For ease of reading, the supplement at the back of the book provides several long mathematical tables, including indefinite and definite integrals, direct and inverse integral transforms, and exact solutions of differential equations.

    Previously, science and mathematics were part of natural philosophy and many mathematical theories arose as a result of trying to understand natural phenomena. This situation changed at the beginning of last century as science and mathematics diverged. These two fields are collaborating once again; 'Topics in Mathematical Physics' takes the reader through this journey.The author discusses topics where the interaction of physical and mathematical theories has led to new points of view and new results in mathematics. The area where this is most evident is that of geometric topology of low dimensional manifolds. These include the theories of Donaldson, Chern-Simons, Floer-Fukaya, Seiberg-Witten, and Topological (Quantum) Field Theory.The author also discusses the interaction of CFT, Supersymmetry, String Theory and Gravity with diverse areas of mathematics. Several of these ideas have led to new insights into old mathematical structures and some have led to surprising new results The term "Physical Mathematics'' has been coined to describe collectively these new and fast growing areas of research, and regards the work of Donaldson and Witten as belonging to this new area of physical mathematics. Study of this work forms an important part of this book.

    Emphasis is on the signal processing elements of MRI, particularly the Fourier transform relationships. Although developed as a teaching text for an electrical engineering course at Stanford University, the material should be accessible to those from other technical fields. The primary chapters (Chapters 1-7) cover the foundational material while the latter chapters (Chapters 8-11) provide brief overviews of extensions and selected topics.

    Introducing the theoretical ideas, observational methods and results, this textbook is ideally suited to graduate courses on dark energy, and will also supplement advanced cosmology courses. Providing a thorough introduction to this exciting field, the textbook covers the cosmological constant, quintessence, k-essence, perfect fluid models, extra-dimensional models, and modified gravity. Observational research is reviewed, from the cosmic microwave background to baryon acoustic oscillations, weak lensing and cluster abundances. Every chapter ends with problems, with full solutions provided, and any calculations are worked through step-by-step.

    It focuses on the development and application of theoretical methods to help students develop their problem-solving skills. The book begins with microscopic transport processes: diffusion, collision-driven phenomena, and exclusion. It then presents the kinetics of aggregation, fragmentation and adsorption, where the basic phenomenology and solution techniques are emphasized. The following chapters cover kinetic spin systems, both from a discrete and a continuum perspective, the role of disorder in non-equilibrium processes, hysteresis from the non-equilibrium perspective, the kinetics of chemical reactions, and the properties of complex networks. The book contains 200 exercises to test students' understanding of the subject. A link to a website hosted by the authors, containing supplementary material including solutions to some of the exercises, can be found at www.cambridge.org/9780521851039.

    This book tells the story of liquid crystals, from their controversial discovery at the end of the nineteenth century, to their eventual acceptance as another state of matter to rank alongside gases, liquids, and solids. As their story unfolds, the scientists involved and their works are put into illuminating broader socio-political contexts.In recent years, liquid crystals have had a major impact on the display industry, culminating in the now widely available flat-screen televisions. This development is described in detail over three chapters, and the basic science behind it is explained in simple terms accessible to a general reader. New applications of liquid crystals in materials, biosystems, medicine, and technology are also explained.The authors' approach to the subject defines a new genre of popular science books. The historical background to the scientific discoveries is given in detail, and the personal communications between the scientists involved are explored. The book tells the story of liquid crystals, but it also shows that scientific discovery and exploitation relies on human interactions, and the social and political environments in which they operate.

    Assuming background knowledge at the level of a physics major, the textbook develops astrophysics from the basics without requiring any previous study in astronomy or astrophysics. Physical concepts, mathematical derivations and observational data are combined in a balanced way to provide a unified treatment. Topics such as general relativity and plasma physics, which are not usually covered in physics courses but used extensively in astrophysics, are developed from first principles. While the emphasis is on developing the fundamentals thoroughly, recent important discoveries are highlighted at every stage.

    Moffat was a poor student of math and science. That is, until he read Einstein’s famous paper on general relativity. Realizing instantly that he had an unusual and unexplained aptitude for understanding the complex physics described in the paper, Moffat wrote a letter to Einstein that would change the course of his life.Einstein Wrote Back tells the story of Moffat’s unusual entry into the world of academia and documents his career at the frontlines of twentieth-century physics as he worked and associated with some of the greatest minds in scientific history, including Niels Bohr, Fred Hoyle, Wolfgang Pauli, Paul Dirac, Erwin Schrödinger, J. Robert Oppenheimer, Abdus Salam, among others.Taking readers inside the classrooms and minds of these giants of modern science, Moffat affectionately exposes the foibles and eccentricities of these great men, as they worked on the revolutionary ideas that, today, are the very foundation of modern physics and cosmology.