Mathematical / Computational / Theoretical physics Books
Cambridge University Press A Students Guide to Laplace Transforms
Book SynopsisThe Laplace transform is a useful mathematical tool encountered by students of physics, engineering, and applied mathematics, within a wide variety of important applications in mechanics, electronics, thermodynamics and more. However, students often struggle with the rationale behind these transforms, and the physical meaning of the transform results. Using the same approach that has proven highly popular in his other Student''s Guides, Professor Fleisch addresses the topics that his students have found most troublesome; providing a detailed and accessible description of Laplace transforms and how they relate to Fourier and Z-transforms. Written in plain language and including numerous, fully worked examples. The book is accompanied by a website containing a rich set of freely available supporting materials, including interactive solutions for every problem in the text, and a series of podcasts in which the author explains the important concepts, equations, and graphs of every sectionTable of Contents1. The Fourier and Laplace transforms; 2. Laplace transform examples; 3. Properties of the Laplace transform; 4. Applications of the Laplace transform; 5. The Z-transform; References; Index.
£18.99
Fingerprint! Publishing The Principia
Book SynopsisA groundbreaking work in the field of physics and mathematics. In this monumental work, Newton formulated the laws of motion and universal gravitation, laying the foundation for classical mechanics and revolutionizing our understanding of the physical world. The Principia remains one of the most significant scientific books ever written, influencing generations of scientists, and shaping the course of modern physics and mathematics. The Groundbreaking Work of Sir Isaac Newton Mathematical proofs and equations. Comprehensive coverage of planetary motion. Helps in understanding the principles of motion. Logical and rigorous approach to scientific inquiry. Studied and revered as a seminal work in the field of science.
£13.49
Springer International Publishing AG Lectures on Matrix Field Theory
Book SynopsisThese lecture notes provide a systematic introduction to matrix models of quantum field theories with non-commutative and fuzzy geometries. The book initially focuses on the matrix formulation of non-commutative and fuzzy spaces, followed by a description of the non-perturbative treatment of the corresponding field theories. As an example, the phase structure of non-commutative phi-four theory is treated in great detail, with a separate chapter on the multitrace approach. The last chapter offers a general introduction to non-commutative gauge theories, while two appendices round out the text. Primarily written as a self-study guide for postgraduate students – with the aim of pedagogically introducing them to key analytical and numerical tools, as well as useful physical models in applications – these lecture notes will also benefit experienced researchers by providing a reference guide to the fundamentals of non-commutative field theory with an emphasis on matrix models and fuzzy geometries.Trade Review“The book collects almost all that has been achieved on the topic within the recent years, including all major results of many authors. As such, it is a nice reference work for graduate students and beginning researchers who want to pursue research in this area. Having all the results and different approaches collected in one place, together with the exhaustive list of references make this a valuable compendium to everyone working on noncommutative models of quantum field theory.” (Andrzej Sitarz, zbMATH 1371.81013, 2017)Table of ContentsPreface.- Introductory Remarks.- The Non-Commutative Moyal-Weyl Spaces Rd.- The Fuzzy Sphere.- Quantum Non-Commutative Phi-Four.- The Multitrace Approach.- Non-Commutative Gauge Theory.- Appendix A - The Landau States.- Appendix B - The Traces TrtAtB and TrtAtBtCtD.- Index.
£33.74
Cambridge University Press Superstring Theory 25th Anniversary Edition
Book SynopsisOriginally published at the height of the first revolution in string theory, these two volumes went on to define the field. Volume 2 focuses on one-loop amplitudes, anomalies and phenomenology. Featuring a new Preface, this book is invaluable for graduate students and researchers in high energy physics and astrophysics.Trade Review'Both volumes of Superstring Theory are likely to remain standard reference works for years to come.' Paul K. Townsend, Nature'… these books still belong on the essential reading list for anyone wanting to gain a deep understanding of the subject.' Douglas J. Smith, Mathematical ReviewsTable of ContentsPreface; 8. One-loop diagrams in the bosonic string theory; 9. One-loop diagrams in superstring theory; 10. The gauge anomaly in type I superstring theory; 11. Functional methods in the light-cone gauge; 12. Some differential geometry; 13. Low-energy effective action; 14. Compactification of higher dimensions; 15. Some algebraic geometry; 16. Models of low-energy supersymmetry; Bibliography; Index.
£48.44
University of California Press The Principia The Authoritative Translation and
Book SynopsisIn his monumental 1687 work, Philosophiae Naturalis Principia Mathematica, known familiarly as the Principia, Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science. This is a modern translation based on the 1726 edition.
£68.00
Oxford University Press Chaos and Fractals
Book SynopsisThis book provides the reader with an elementary introduction to chaos and fractals, suitable for students with a background in elementary algebra, without assuming prior coursework in calculus or physics. It introduces the key phenomena of chaos - aperiodicity, sensitive dependence on initial conditions, bifurcations - via simple iterated functions. Fractals are introduced as self-similar geometric objects and analyzed with the self-similarity and box-counting dimensions. After a brief discussion of power laws, subsequent chapters explore Julia Sets and the Mandelbrot Set. The last part of the book examines two-dimensional dynamical systems, strange attractors, cellular automata, and chaotic differential equations.The book is richly illustrated and includes over 200 end-of-chapter exercises. A flexible format and a clear and succinct writing style make it a good choice for introductory courses in chaos and fractals.Trade Review... obtains top marks ... For any lecturer or teacher looking for a text on these subjects, this book is worthy of your consideration. * Gazette of the Australian Mathematical Society *For the right audience and instructor, this is a wonderful book. With considerable effort on both sides it can take a wide audience with modest mathematics to a reasonable understanding of what is behind much of the complex phenomena seen in modern mathematical models of the physical universe. * Thomas B. Ward, Zentralblatt MATH *This is an excellent book, and is highly recommended. * Mark Hunacek, Mathematical Association of America *The only textbook on chaos and fractals for non-science and mathematics majors. Covers central phenomena and ideas of chaos and fractals in a careful, intellectually honest, but accessible way. * L'Enseignement Mathematique (2) 59 *Chaos and fractals are two intertwined concepts that have revolutionized many areas of science and renewed popular interest in mathematics over the past few decades. Feldman's book is a rich resource for anyone who wants a deeper understanding of these subjects without the need for advanced mathematics. * Julien Clinton Sprott, University of Wisconsin-Madison *The style of writing is easy on the reader. The explanations are clear and illustrated with many diagrams and side notes....[Feldman] has produced an excellent book. * John Sykes, Mathematics in School *David P. Feldman provides a delightful and thoughtful introduction to chaos and fractals requiring only a good background in algebra. The formal treatment of nonlinear dynamics, chaotic behavior, Lyapunov exponents, and fractal dimensions is leavened with creative analogies and many helpful and visually attractive figures and diagrams. Even more mathematically sophisticated readers will find this book a good starting point in exploring the complex and beguiling realms of chaos and fractals. * Robert C. Hilborn, Associate Executive Officer, American Association of Physics Teachers *For the right audience and instructor, this is a wonderful book. With considerable effort on both sides it can take a wide audience with modest mathematics to a reasonable understanding of what is behind much of the complex phenomena seen in modern mathematical models of the physical universe. * Thomas B. Ward, Durham University *The book is very well produced, with excellent diagrams and very informative notes provided beside the main text. It also provides an extensive list of references for further reading. * Scottish Mathematical Council Journal *[haos and Fractals] offers at least the possibility of a radically different trajectory for school teaching, providing a motivated pathway to a lot of fascinating mathematics not normally considered accessible ... * Danny Yee, Danny Reviews *Table of ContentsI. INTRODUCING DISCRETE DYNAMICAL SYSTEMS; II. CHAOS; III. FRACTALS; IV. JULIA SETS AND THE MANDELBROT SET; V. HIGHER-DIMENSIONAL SYSTEMS; VI. CONCLUSION; VII. APPENDICES
£42.99
Taylor & Francis Ltd Nonlinear Dynamics and Chaos
Book SynopsisThe goal of this third edition of Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering is the same as previous editions: to provide a good foundation - and a joyful experience - for anyone whoâd like to learn about nonlinear dynamics and chaos from an applied perspective.The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.The prerequisites are comfort with multivariable calculus and linear algebra, as well as a first course in physics. Ideas from probability, complex analysis, and Fourier analysis are invoked, but they're either worked out from scratch or can be safely skipped (or accepted on faith).Changes to this edition include substantial exercises about conceptual models of climate change, an updated treatment of the SIR model of epidemics, and amendments (based on recent research) about the Selkov model of oscillatory glycolysis. Equations, diagrams, and every word has been reconsidered and often revised. There are also about 50 new references, many of them from the recent literature.The most notable change is a new chapter. Chapter 13 is about the Kuramoto model.The Kuramoto model is an icon of nonlinear dynamics. Introduced in 1975 by the Japanese physicist Yoshiki Kuramoto, his elegant model is one of the rare examples of a high-dimensional nonlinear system that can be solved by elementary means.Students and teachers have embraced the book in the past, its general approach and framework continue to be sound.Table of ContentsChapter 1. Overview. Chapter 2. Flows on the Line. Chapter 3. Bifurcations. Chapter 4. Flows on the Circle. Chapter 5. Linear Systems. Chapter 6. Phase Plane. Chapter 7. Limit Cycles. Chapter 8. Bifurcations Revisited. Chapter 9. Lorenz Equations. Chapter 10. One-Dimensional Maps. Chapter 11. Fractals. Chapter 12. Strange Attractors. Chapter 13. Kuramoto Model.
£68.99
Penguin Books Ltd General Relativity
Book SynopsisThe latest volume in The New York Times bestselling physics series explains Einstein''s masterpiece: the general theory of relativityHe taught us classical mechanics, quantum mechanics and special relativity. Now, physicist Leonard Susskind, assisted by a new collaborator, André Cabannes, returns to tackle Einstein''s general theory of relativity. Starting from the equivalence principle and covering the necessary mathematics of Riemannian spaces and tensor calculus, Susskind and Cabannes explain the link between gravity and geometry. They delve into black holes, establish Einstein field equations and solve them to describe gravity waves. The authors provide vivid explanations that, to borrow a phrase from Einstein himself, are as simple as possible (but no simpler).An approachable yet rigorous introduction to one of the most important topics in physics, General Relativity is a must-read for anyone who wants a deeper knowledge of the universe''s real structure.
£10.44
Princeton University Press The Joy of Quantum Computing
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£22.50
American Mathematical Society Curvature of Space and Time with an Introduction
Book SynopsisIntroduces advanced undergraduates to Riemannian geometry and mathematical general relativity. The overall strategy of the book is to explain the concept of curvature via the Jacobi equation which, through discussion of tidal forces, further helps motivate the Einstein field equations.Table of Contents Introduction to Riemannian geometry Differential calculus with tensors Curvature General relativity Introduction to geometry analysis Bibliography Index
£51.30
Oxford University Press Geometry of Black Holes
Book SynopsisBlack holes present one of the most fascinating predictions of Einstein''s general theory of relativity. There is strong evidence of their existence through observation of active galactic nuclei, including the centre of our galaxy, observations of gravitational waves, and others.There exists a large scientific literature on black holes, including many excellent textbooks at various levels. However, most of these steer clear from the mathematical niceties needed to make the theory of black holes a mathematical theory. Those which maintain a high mathematical standard are either focused on specific topics, or skip many details. The objective of this book is to fill this gap and present a detailed, mathematically oriented, extended introduction to the subject.The book provides a wide background to the current research on all mathematical aspects of the geometry of black hole spacetimes.Trade ReviewWritten with a high standard of rigor and care, with very good treatments of many topics that are hard to find elsewhere. * Robert Wald, University of Chicago *Including some very interesting and unique material, the book is written in a manner that will be accessible for students, and provide a valuable resource for experts working in mathematical general relativity. * Greg Galloway, University of Miami *This text is an excellent research level monograph exploring the detailed and rich structure of black holes in mathematical physics. * Kymani Armstrong-Williams, Physics Book Reviews *Table of ContentsPART I GLOBAL LORENTZIAN GEOMETRY 1: Basic Notions 2: Elements of causality 3: Some applications PART II BLACK HOLES 4: An introduction to black holes 5: Further selected solutions 6: Extensions, conformal diagrams 7: Projection diagrams 8: Dynamical black holes
£39.99
Elsevier Science A Mathematical Approach to Special Relativity
Book SynopsisTable of Contents1. Galilean relativity 2. Lorentz Boosts 3. Development of the Formalism 4. Electrodynamics 5. Gravity 6. Experiments and Applications Part II: Mathematics 7. Mathematics of Translations 8. The Rotation Group 9. The Lorentz Group
£73.10
Dover Publications Inc. The Green Function Method in Statistical
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£15.29
Birkhauser Boston Inc Riemannian Geometry
Book SynopsisRiemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics.Trade Review"This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry." -Publicationes Mathematicae "This is a very nice introduction to global Riemannian geometry, which leads the reader quickly to the heart of the topic. Nevertheless, classical results are also discussed on many occasions, and almost 60 pages are devoted to exercises." -Newsletter of the EMS "In the reviewer's opinion, this is a superb book which makes learning a real pleasure." -Revue Romaine de Mathematiques Pures et Appliquees "This mainstream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises." -Monatshefte F. MathematikTable of ContentsPreface to the 1st edition * Preface to the 2nd edition * Preface to the English edition * How to use this book * 0. Differentiable Manifolds * 1. Riemannian Metrics * 2. Affine Connections; Riemannian Connections * 3. Geodesics; Convex Neighborhoods * 4. Curvature * 5. Jacobi Fields * 6. Isometric Immersions * 7. Complete Manifolds; Hopf-Rinow and Hadamard Theorems * 8. Spaces of Constant Curvature * 9. Variations of Energy * 10. The Rauch Comparison Theorem * 11. The Morse Index Theorem * 12. The Fundamental Group of Manifolds of Negative Curvature * 13. The Sphere Theorem * References * Index
£37.99
Cambridge University Press All the Math You Missed
Book SynopsisThe second edition of this bestselling book provides an overview of the key topics in undergraduate mathematics, allowing beginning graduate students to fill in any gaps in their knowledge. With numerous examples, exercises and suggestions for further reading, it is a must-have for anyone looking to learn some serious mathematics quickly.Trade Review'Reading Garrity is like talking with your favorite uncle - he tells you the essential stories, in a clear and colorful way, and you get just what you need to explore further. The topics are well chosen (and there are more in this new edition). His points of view enrich the reader - not only do you learn what to know, but how to know it. I wish I had had this book when I started graduate school.' John McCleary, Vassar College'I admired one of the intentions behind the first edition of Garrity's All the Math You Missed: to give students the tools to appreciate the applications of mathematics without painting a simplistic picture of 'Applied Mathematics'. In this second edition, he takes this idea to the next level by introducing four additional chapters, dealing primarily with number theory and category theory.' Robert Kotiuga, Boston University'I felt like I was terribly underprepared for graduate school, and Garrity's book helped me fill in some of those gaps. But far more importantly, the welcoming tone made me see that I wasn't alone in feeling anxious, and it made grad school feel less intimidating.' Daniel Erman, University of Wisconsin, Madison'Incoming graduate students would find the book most useful … this book is designed to provide some useful guidance … The writing is clear and easy to read.' Bill Satzer, MAA ReviewsTable of ContentsOn the structure of mathematics; Brief summaries of topics; 1. Linear Algebra; 2. ε and δ real analysis; 3. Calculus for vector-valued functions; 4. Point set topology; 5. Classical Stokes' theorems; 6. Diff erential forms and Stokes' theorem; 7. Curvature for curves and surfaces; 8. Geometry; 9. Countability and the Axiom of Choice; 10. Elementary number theory; 11. Algebra; 12. Algebraic number theory; 13. Complex analysis; 14. Analytic number theory; 15. Lebesgue integration; 16. Fourier analysis; 17. Diff erential equations; 18. Combinatorics and probability theory; 19. Algorithms; 20. Category theory; Appendix A. Equivalence relations; References; Index.
£22.79
CRC Press Essential Math for Physics Undergraduates
Book SynopsisEssential Math for Physics Undergraduates: Practical Examples with Python Tools covers basic applied Math and entry-level programming. A gap often exists in the Physics studentâs Math curriculum, between the Math taught by the Math departments and the Math taught either in a âœMath Methodsâ or advanced Physics courses, such as introduction to quantum mechanics, classical mechanics, thermal and statistical physics, and electromagnetic theory. This text plugs that gap and provides the new Physics student with the necessary tools to succeed in their Physics curriculum. The book helps instructors to fill in the gap between what new Physics students learn in high school and introductory college math courses, providing them with what they need to know as they progress through their Physics curriculum.Key Features: Covers Math that is essential in Physics curricula. Offers a more accessible introduction to Math than can be found in typical âœMath Methods for Physicistsâ texts. Introduces Python and shows the reader how to use it for basic math problems.
£29.99
Cambridge University Press Complex Analysis
Book SynopsisThis user-friendly textbook introduces complex analysis at the beginning graduate or advanced undergraduate level. Unlike other textbooks, it follows Weierstrass'' approach, stressing the importance of power series expansions instead of starting with the Cauchy integral formula, an approach that illuminates many important concepts. This view allows readers to quickly obtain and understand many fundamental results of complex analysis, such as the maximum principle, Liouville''s theorem, and Schwarz''s lemma. The book covers all the essential material on complex analysis, and includes several elegant proofs that were recently discovered. It includes the zipper algorithm for computing conformal maps, as well as a constructive proof of the Riemann mapping theorem, and culminates in a complete proof of the uniformization theorem. Aimed at students with some undergraduate background in real analysis, though not Lebesgue integration, this classroom-tested textbook will teach the skills and inTrade Review'Marshall's book covers the basic topics with crystal clarity in a style that is conversational and concrete, and that guides the student into thinking about these topics the way a working mathematician does, especially one with a geometric or computational bent. Moreover, the book includes many results that are vital to modern function theory and its applications to geometry, dynamics and probability, but that are often omitted from introductory texts. I wish I had first learned the subject from this book, and I am delighted that my students can do so.' Christopher Bishop, State University of New York at Stony Brook'This is an original and most welcomed new graduate text in complex analysis. Assuming only undergraduate real analysis and following the power series approach, it quickly and elegantly develops the basic theory through Cauchy's theorem for cycles, normal families, the Riemann mapping theorem, and the Weierstrass and Mittag-Leffler theorems. Unique aspects of the book include its many short, clever, and clear proofs of familiar results, the author's computational point of view about conformal mappings, a concise proof of the uniformization theorem from first principles (using the dipole Green's function for the parabolic case), and an excellent selection of exercises, some very thought provoking but having easy proofs.' John Garnett, University of California, Los Angeles'There are essentially three points of view from which to begin the study of complex analysis, due principally to Cauchy, Weierstrass, and Riemann. These approaches emphasize integral formulas, power series and conformal mapping, respectively. Marshall has chosen to initially adopt the approach of Weierstrass and to emphasize at the outset the notion of a power series. From that point of view, many of the central ideas and theorems of complex analysis arise early in a rather natural way and are quite suggestive of what is true in a much wider context. One of the features of this book that distinguishes it from other texts is its emphasis on conformal mapping, culminating in a beautiful exposition of the Uniformization theorem for simply connected Riemann surfaces. From the outset, the exposition is placed in an historical context, is clear and concise throughout, and includes many new and interesting exercises.' James Brennan, University of Kentucky'Written by a skillful teacher and grand master of complex analysis, this complex analysis graduate level textbook stands out from other texts through the clarity and elegance of the arguments, the efficiency of the presentation, and the selection of advanced topics. Each of the 16 chapters ends with a carefully selected set of exercises ranging from routine to challenging, making it an excellent textbook and ideal for a first-year graduate course. Marshall's choice of beginning with power series (following Weierstrass) has the advantage of a very fast and direct approach to some of the highlights of the theory. The connection to Cauchy's integral calculus, which is the starting point of most texts, is then made through partial fractions and Runge's theorem. This makes the book an invaluable addition to the complex analysis literature.' Steffen Rohde, University of WashingtonTable of ContentsPreface; Prerequisites; Part I: 1. Preliminaries; 2. Analytic functions; 3. The maximum principle; 4. Integration and approximation; 5. Cauchy's theorem; 6. Elementary maps; Part II: 7. Harmonic functions; 8. Conformal maps and harmonic functions; 9. Calculus of residues; 10. Normal families; 11. Series and products; Part III: 12. Conformal maps to Jordan regions; 13. The Dirichlet problem; 14. Riemann surfaces; 15. The uniformization theorem; 16. Meromorphic functions on a Riemann surface; Appendix; Bibliography; Index.
£41.79
Cambridge University Press Foundations of Modern Physics
Book SynopsisIn addition to his ground-breaking research, Nobel Laureate Steven Weinberg is known for a series of highly praised texts on various aspects of physics, combining exceptional physical insight with his gift for clear exposition. Describing the foundations of modern physics in their historical context and with some new derivations, Weinberg introduces topics ranging from early applications of atomic theory through thermodynamics, statistical mechanics, transport theory, special relativity, quantum mechanics, nuclear physics, and quantum field theory. This volume provides the basis for advanced undergraduate and graduate physics courses as well as being a handy introduction to aspects of modern physics for working scientists.Trade Review'By using the notion of fundamental constituents as the guiding historical and theoretical principle, Weinberg manages to lay the foundations of diverse disciplines (hydrodynamics, statistical mechanics, kinetic theory, thermodynamics, special relativity, quantum mechanics and even field theory) in less than 300 pages.' CERN Courier, Opinion Reviews'Whereas many textbooks forgo historical notes, Weinberg delights the reader by adding terse yet apt context to the physical concepts he introduces … It is as if he is imagining what students might be puzzled by and then solves those problems … everyone will want to have Foundations of Modern Physics on their bookshelf. There is always something new to be found in it, and - similar to having a conversation about physics with Weinberg - there is never a dull moment when reading it.' Melissa Franklin, Physics TodayTable of ContentsPreface; 1. Early atomic theory; 2. Thermodynamics and kinetic theory; 3. Early quantum theory; 4. Relativity; 5. Quantum mechanics; 6. Nuclear physics; 7. Quantum field theory: assorted problems; Bibliography; Author index; Subject index.
£36.99
Pearson Education Limited University Physics Volume 1 Chapters 120 Global
Book Synopsis Hugh D. Young was Emeritus Professor of Physics at Carnegie Mellon University. He earned both his undergraduate and graduate degrees from that university. He earned his Ph.D. in fundamental particle theory under the direction of the late Richard Cutkosky. Dr. Young joined the faculty of Carnegie Mellon in 1956 and retired in 2004. He also had two visiting professorships at the University of California, Berkeley. Dr. Young's career was centred entirely on undergraduate education. He wrote several undergraduate-level textbooks, and in 1973 he became a coauthor with Francis Sears and Mark Zemansky for their well-known introductory textbooks. In addition to his role on Sears and Zemansky's University Physics, he was the author of Sears and Zemansky's College Physics. Dr. Young earned a bachelor's degree in organ performance from Carnegie Mellon in 1972 and spent several years as Associate Organist at St. Paul's Cathedral in Pittsburgh. RTable of ContentsMECHANICS 1. Units, Physical Quantities, and Vectors 2. Motion Along a Straight Line 3. Motion in Two or Three Dimensions 4. Newton’s Laws of Motion 5. Applying Newton’s Laws 6. Work and Kinetic Energy 7. Potential Energy and Energy Conservation 8. Momentum, Impulse, and Collisions 9. Rotation of Rigid Bodies 10. Dynamics of Rotational Motion 11. Equilibrium and Elasticity 12. Fluid Mechanics 13. Gravitation 14. Periodic Motion WAVES/ACOUSTICS 15. Mechanical Waves 16. Sound and Hearing THERMODYNAMICS 17. Temperature and Heat 18. Thermal Properties of Matter 19. The First Law of Thermodynamics 20. The Second Law of Thermodynamics ELECTROMAGNETISM 21. Electric Charge and Electric Field 22. Gauss’s Law 23. Electric Potential 24. Capacitance and Dielectrics 25. Current, Resistance, and Electromotive Force 26. Direct-Current Circuits 27. Magnetic Field and Magnetic Forces 28. Sources of Magnetic Field 29. Electromagnetic Induction 30. Inductance 31. Alternating Current 32. Electromagnetic Waves OPTICS 33. The Nature and Propagation of Light 34. Geometric Optics 35. Interference 36. Diffraction MODERN PHYSICS 37. Relativity 38. Photons: Light Waves Behaving as Particles 39. Particles Behaving as Waves 40. Quantum Mechanics I: Wave Functions 41. Quantum Mechanics II: Atomic Structure 42. Molecules and Condensed Matter 43. Nuclear Physics 44. Particle Physics and Cosmology
£68.99
Wolfram Media Inc A Project To Find The Fundamental Theory Of
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£35.19
Flame Tree Publishing The Principia. Mathematical Principles of Natural
Book SynopsisNew concise edition with a new introduction, abridged for the modern reader. The Principia. Mathematical Principles of Natural Philosophy is one of the most important scientific works ever to have been written and has had a profound impact on modern science. Consisting of three separate books, the Principia states Newton’s laws of motion and Newton’s law of universal gravitation. Understanding and acceptance of these theories was not immediate, however by the end of the seventeenth century no one could deny that Newton had far exceeded all previous works and revolutionised scientific thinking. The FLAME TREE Foundations series features core publications which together have shaped the cultural landscape of the modern world, with cutting-edge research distilled into pocket guides designed to be both accessible and informative.
£9.49
Springer Nature Switzerland AG Powers of Two: The Information Universe —
Book SynopsisIs everything Information? This is a tantalizing question which emerges in modern physics, life sciences, astronomy and in today’s information and technology-driven society. In Powers of Two expert authors undertake a unique expedition - in words and images - throughout the world (and scales) of information. The story resembles, in a way, the classic Powers of Ten journeys through space: from us to the macro and the micro worlds . However, by following Powers of Two through the world of information, a completely different and timely paradigm unfolds. Every power of two, 1, 2, 4, 8…. tells us a different story: starting from the creation of the very first bit at the Big Bang and the evolution of life, through 50 years of computational science, and finally into deep space, describing the information in black holes and even in the entire universe and beyond…. All this to address one question: Is our universe made of information? In this book, we experience the Information Universe in nature and in our society and how information lies at the very foundation of our understanding of the Universe.From the Foreword by Robbert Dijkgraaf: This book is in many ways a vastly extended version of Shannon’s one-page blueprint. It carries us all the way to the total information content of the Universe. And it bears testimony of how widespread the use of data has become in all aspects of life. Information is the connective tissue of the modern sciences. […] Undoubtedly, future generations will look back at this time, so much enthralled by Big Data and quantum computers, as beholden to the information metaphor. But that is exactly the value of this book. With its crisp descriptions and evocative illustrations, it brings the reader into the here and now, at the very frontier of scientific research, including the excitement and promise of all the outstanding questions and future discoveries.Message for the e-reader of the book Powers of Two The book has been designed to be read in two-page spreads in full screen mode. For optimal reader experience in a downloaded .pdf file we strongly recommend you use the following settings in Adobe Acrobat Reader: - Taskbar: View > Page Display > two page view - Taskbar: View > Page Display > Show Cover Page in Two Page View - Taskbar: ^ Preferences > Full Screen > deselect " Fill screen with one page at a time" - Taskbar: View > Full screen mode or ctrl L (cmd L on a Mac) ***** Note: for reading the previews on Spinger link (and on-line reading in a browser), the full screen two-page view only works with these browsers: Firefox - Taskbar: on top of the text, at the uppermost right you will see then >> (which is a drop-down menu) >> even double pages - Fullscreen: F11 or Control+Cmd+F with Mac Edge - Taskbar middle: Two-page view and select show cover page separatelyTrade Review“The book … a very unusual collection of some facts about the relationship between the immaterial world represented by bits and the real physical world described by fundamental physical equations. This book continues the very categorical point of view of J. A. Wheeler … . The book presents short articles on various areas of modern science … in which it is shown that in these areas in some mysterious way there is a connection with the theory of information.” (Vladimir Dzhunushaliev, zbMATH 1479.83004, 2022)Table of ContentsForeword by Robbert DijkgraafChapter 0: IntroductionJoy-riding the Universe – by the authorWorking as an astronomer, data scientist and professor of astro-informatics for nearly fifty years, Edwin Valentijn has witnessed and first-hand engineered the dawn of the era of Big Data in science and society. Throughout his career, he became increasingly aware of the role of information in our world: in computers, in our society, and even in nature and in the Universe itself.The Information UniverseFollowing the increasing powers of two, the story paints a journey through the whole world of information, both in society and in nature. Each step opens a door into a new world: from the first bits with the Big Bang and the dawn of life, going through fifty years of human technology, all the way up to the information content of the whole Universe.What is Information? - Item pageThe basics of information are introduced.Chapter 1: The beginningSpace-time foam – Ti (0 bit: 20 =1)The very first power of two: 20, corresponds to the value one. This identifies the single, eternal, indistinguishable state: the primordial sea from which our Universe emerged – sometimes called the Space-time foam. I call this Ti, the reverse of It. This is one of the miraculous new notions in the story of the Powers of Two.Multiverse: Anthropic principle (Item page)From Ti, the primordial space-time foam, countless universes arise with widely different characteristics: the Multiverse. The Anthropic Principle is a philosophical consideration which states that we, people, will find ourselves in a universe that is suitable for intelligent life to emerge. Therefore, this Principle demonstrates that conditions in our Universe are not “fine-tuned” to the existence of human life and a “creator” doesn’t exist.Big bang (1 bit: 21 =2 states)At the Big Bang the first bit is created. From the indistinguishable unity of the primordial foam Ti, “the zeros were separated from the 1’s”: the first bit corresponds to two possible states. This bit is the first step on our journey to capture the ever-increasing complexity of our expanding Universe in terms of information, through the increasing powers of two.What is a bit? (Item page)The bit is at the core of the concept of information. A bit is any system that can have two states. Humans assign meanings to these states, which are illustrated with the concept of the traffic light: red or green, stop or go. The combination of multiple bits creates an exponentially increasing number of possible states, and hence meanings.Multicellular life (2 bit: 22 =4 states) / (4 bit: 24 =16 states)?Life started with exchanging information between cells. This is fundamental for the evolution of any kind of life. It took at least two billion years for uni-cellular to evolve into multi-cellular organisms around 600 million years ago, and to start the exchange of information between their different cells. By exchanging information, cells collaborate and act as a unified whole: life.The game of life (Item page)The characteristic features of life (or any complex system in the Universe) can be created from information. A simple computer game is all you need to demonstrate this concept. A famous example is Conway's Game of Life, which is full of visuals of living, growing, moving and dying objects. This game was already made on the computers of the early 70's with just a few lines of code.Chapter 2: People's Information UniverseASCII (7 bit: 27 =128 states)There is currently no physical theory how the digital world connects to the human consciousness. In the world of Information Technology (IT) all information exchange is based on agreements between people. For instance, ASCII, a simple list relating each letter of the alphabet to a 7-bit string, connects the digital world to the human consciousness. Machu Picchu (8 bit: 28 =256, 1 byte)The Intiwatana stone, a giant rock carved by the Inca's of ancient Machu Picchu in Peru, can be considered as a first 8-bit hard disk. Why so? As the sunrays lit the different surfaces of this huge rock throughout the year, it triggered the Inca's activities: sowing, harvesting, celebrating and praying.This ancient stone dissolves both the boundaries between heaven and earth, and those between the digital and natural Information Universe. In fact, the stone represents an ultimate picture of the cross-over between the in vivo and the in vitro Information Universe - a main theme of the book. In vitro being the man made technology to handle information and in vivo being the information built in nature, in this case the orbit and the light rays of the sun.First computers (16 bit: 216 =65.536, 2 byte)When computers emerged in the 1970's, astronomers first adopted them to steer their telescopes. Back then, a maximal effort to understand the mathematics of the problem was needed to squeeze the solution into the small computer memory. Nowadays, with large amounts of computing power and machine learning at their disposal, scientists and computer programmers often do the reverse.Star Peace vs. Star Wars (Item page)King Juan Carlos adored the harmony of galaxies as a source of inspiration for people on earth, in those days when Ronald Reagan was promoting his Star-wars programme. With this adoration in mind, in 1985, he gave an inspiring speech at the Royal inauguration of the international astronomical observatory on La Palma, Canary Islands. The inauguration was attended by, for those days, an unprecedented large crowd of European royals and government officials despite the great threat of terrorist attacks by the ETA. (the next and later spreads on facts vs fakes elucidate the relevance of this spread in the story line).Pre-internet Facts and Fakes (Item page)“Edwin Valentijn saved the life of the Dutch Queen Beatrix by catching her just before falling off a cliff at the inauguration on La Palma”, according to the headlines in Dutch newspapers. Fake news-stories are at all times alike and can only be dispelled by tracing links of information to their source, links or associations being a fundamental property of the Information Universe. Later, I discuss the less innocent case of overdrawing attention to terrorist attacks in the past decade.Hard disk (24 bit: 224 =1.6*107, 2 Mb)Only sixty years ago, a 5 MB hard disk weighed over five tons, and had to be loaded onto an aeroplane by using a truck. Now, we carry a thousand times more information in our trouser pocket. This demonstrates the amazing advance of information technology over the past decades. (Picture: first IBM hard disk loaded onto a plane).The telephone (Item page) As a precursor of the Internet, the telephone offered many of the same advantages and dangers, and was heavily discussed at its introduction. Whether telephone or the Internet, it all revolves around communication or copying of information. The telephone, as example of it, is one of the major discoveries of the 20th century. DNA (32 bit: 232 = 4*109, 500 Mb) – Guest author: Charley Lineweaver The information in the DNA creates life. All base pairs of the human DNA can be stored on a 500 Mb drive. How is this information communicated? How does a cell know it has to build part of a liver and not an eye, while they all have the same DNA? Apoptosis and the role of information exchange.Where does biological Information come from? (Item page) – Guest author: Charley Lineweaver Charley Lineweaver, expert on evolutionary biology, exoplanetology and astrobiology, will expand on the role of information in the evolution of life.Lifelines (Item page) – Guest author: Morris SwertzWhat is the role of nature versus that of nurture? A key question in modern health research. In Lifesciences, this question is addressed now using Big Data, like the astronomers who acquire huge data volumes to address the same question on the nature of galaxies. In Lifelines, a cohort of 165.000 people is studied over a period of 30 years using hospital data, blood samples and DNA scans.DVD (33 bit: 233 =9*109, 1 Gb)It’ s amazing how fast the digital image revolution went since 1989.30 years ago, Philips lab approached me since they had made a big discovery: it was possible to store many digital images on a CD. They were chasing me for digital images. While NASA had less than a thousand, I had 32.000 galaxy images obtained by scanning photographic plates from the European Southern Observatory – the first large digital image collection.Human Brain (36 bit: 236 =7*1010, 9 Gb) – Guest author: Katrin Amunts- JulichIn the large EU human brain project, the activities of the human brain are simulated in computers. This is a very difficult mission since the transistors in computers consume 100.000 billion times more energy than the synapsis of neurons. Our brains consist of 1011 neurons, corresponding to 9 Gb of data.Thinking of Karlheinz Meier, coordinator of the Human Brain Project in Heidelberg, Katrin Amunts will author two spreads on the role of information in the human brain.Neuromorphic computing – Guest author: Katrin AmuntsCurrently, it takes a hundred years of a supercomputer’s time to compete with the learning power of only a single day of the human brain. “Neuromorphic computing” researchers design electronic systems inspired by the human brain, in order to make computers many times faster and more energy efficient.CT scan (38 bit: 238 =3*1011, 34 Gb) – Guest author: Anders YnnermanNow it is possible to look inside animal and human bodies on touchscreens. Forensic investigations on, for instance, corpses of victims can be done with touch-screen tables. You can look inside, rotate, scroll and zoom animal and human bodies using tens of gigabytes of CT scan data. Prof. Anders Ynnerman explains how he does it.Terabytes (45 bit: 245 =4.4*1012, 1 Tb) - The largest (astronomical) datasetsDark energy and dark matter: two mysterious constituents of our Universe. How do astronomers get and handle the data from the VLT Survey Telescope on a high mountain top in Chile to shed lights on these ‘still too dark’ topics. This Telescope surveys the sky every hour at night generating Terabytes of astronomical data.Gravity as a lens (Item page) – Guest author: Margot BrouwerWhen light rays are bent by the gravity of a heavy object, this object acts as a lens. This effect can be used to map dark matter, which is invisible but constitutes 80% of the matter in our visible Universe. In 1915, Albert Einstein posed that gravity is equivalent to the curvature of the fabric of space and time itself, leading to the lensing effect.Weak gravitational lensing surveys – Guest author: Margot BrouwerTerabytes of astronomical data are reduced to a few numbers, describing how dark matter behaves and what is its true nature. https://www.youtube.com/watch?v=ZCyYGWqCmFw&t=23sEntering the Petabyte regime (53 bit: 253 =1*1015, 1 Pb)How do we technically acquire and deal with Petabytes of data?Dark Matter maps (Item page)A first dark matter map projected on the night sky. An ultimate encounter between the digital world of modern astronomical observations, and nature: the mysterious dark matter mapped on top of the everyday “night” stellar sky. A visualization that condenses Terabytes of astronomical data to a simple map.Metadata for Peta-data (62 bit: 262 =6*1017, 600 Pb)With pointers, one can connect everything in the Information Universe. Pointers are often inserted in Metadata (data about data) - an ultimate tool for dealing with Big Data. It is possible to create unique pointers to hundreds of Petabytes of data, using a string of less than 64 bits. This is what makes pointers so powerful and indispensable in current and future stages of the big data era; not only for astronomical research, but also for companies like Google, Amazon and Facebook.Downloading the Universe (Item page)The universe can be seen as a spreadsheet, certainly in the way we map it on our computers (in vitro), but also in nature (in vivo). Perceiving the Universe as a spreadsheet links bit to It.Meta data (Item page)A visualisation of the enormous complexity of data models which trace all pointers between data items. (picture: thrilling still from a full dome animation of a data model)Future (astronomical) datasets (item page)While current telescopes collect astronomical datasets of Terabytes, future telescopes such as the LSST and the Euclid satellite, instead, will collect Petabytes. These enormous amounts of data need a whole new approach to data management. For the Euclid satellite my “Universe as a spreadsheet” approach has been adopted.The Euclid satellite (Item page) – Guest author: Margot BrouwerEuclid is ESA’s new space mission to map the Dark Universe. At a distance of 1.5 million kilometres from Earth, this telescope will observe billions of galaxies. Its goal: to shed light on the nature of Dark Matter and Dark Energy, which make up 95% of our Universe. Dr. Margot Brouwer, Dutch scientific communication officer for Euclid, will explain more.The Information Universe (Item page)The resemblance of the overall structure of the real observed Universe (in vivo) with the simulated universe (in vitro), based on the concurrent cosmological model, gave a lot of credit to the latter. When we zoom out the Universe, we see billions of galaxies forming a web-like structure. Amazingly, astronomers can now compute and simulate these structures with very large supercomputers.The lost boy (Item page)Information is timeless, and knows no boundaries. It crosses over the in vivo and the in vitro Information Universe. This concept is well illustrated through daily life stories involving time. At the age of five, a boy loses sight of his older brother on a train in India, and eventually gets lost on the streets of Mumbai. Twenty years later, after being adopted by a family in Australia, he is able to find his natural mother (in vivo) through only searching on Google maps (in vitro).Qbits (50 qbit: 250 =1.1*1015 qbit, 1 Pbit) – Guest author: Lieven VandersypenUsing fundamental particles (quanta, such as electrons) to perform calculations and build computers, is one of the most exciting cross-overs between the in vivo and the in vitro Information Universe. Prof. Lieven Vandersypen, who leads a Quantum Computing group at TU Delft in the Netherlands, will explain how this technology will change the way we compute.Quantum entanglement (Item page) – Guest author: Lieven VandersypenThe states of two particles can be intimately linked (entangled), no matter how far they are separated. What Einstein famously dismissed as “spooky action at a distance”, can now be established on demand at TU Delft in the Netherlands. Prof. Vandersypen will explain how his research group, for the first time ever, both create and apply this entanglement in laboratory.Entanglement (item page) - EVThe Square Kilometre Array (64 bit: 264 =1.3*1018, 1 Eb) – Guest author: TBAThe Square Kilometre Telescope will collect data at the rate of the global internet traffic of 2013, in its endeavour to answer fundamental questions about the origin and evolution of the Universe, and its search for extra-terrestrial life.Cryptography (128 bit: 2128 =3.4*1038) – Guest author Tanja LangeEncrypted messages should not be decoded by adversaries, be they criminals or hostile countries. Cryptography enables secure communications and is one of the few applications which require 128-bit numbers. A guest author will explain more.Chapter 3: Deep spaceThe Desert (128-256 bit) Theoretical physics is not progressing much in the last decennia – some call it a crisis. Likely, an observational breakthrough is out of reach: the highest man-made information density on earth is produced by the high energy accelerators at CERN. But these accelerators have to be 1013 -1015 more powerful to reach the fundamental unit of information, which is probably at the same level of the Planck length. Unfortunately, there is no way to reach this unit of information with these instruments. This enormous gap in reaching all the domains in the Information Universe is illustrated in a figure and in a very sobering, but instructive table in the Appendix.Black holes (128-256 bit?) – Guest author: Manus VisserCan information disappear into a black hole? The Information paradox. Stephen Hawking wondered it and started a field in which space and time are described in terms of information. Dr. Manus Visser, expert on gravity and space-time, will explain more.Observing a Black Hole: Event Horizon Telescope – Guest author: Heino FalckeThe first image of a black hole. Prof. Heino Falcke, chair of the Event Horizon Telescope Science Council, will explain how information from a world-wide network of telescopes was combined using atomic clocks, to create the first ever image of a black hole. (Picture: first image of a black hole)Cogwheels: a deeper level – Guest author: Gerard 't HooftNobel laureate ‘t Hooft explains his views on cogwheels, carrying the fundamental information in the Universe.Gravitational waves – Guest author: Chris van den BroeckLinks: The Universe as a spreadsheetLinks, joins, references, URLs, blockchain, associations and even entanglement in physics are all different words for the same building block, forming the connections in the Information Universe.Cosmic Microwave Background – Guest author: Margot BrouwerParticles of light created in the hot and dense state of the Universe after the Big Bang are still flying through the Universe today. Together, these 1077 photons contain the largest amount of information known in the Universe. This information can still be accessed through telescopes, and brings us invaluable information about the dawn of our Universe.Emergent Gravity – Guest author: Erik VerlindeProf. Erik Verlinde, professor of theoretical physics at the University of Amsterdam, won the Spinoza prize for his new theory explaining gravity. In his theory, all matter, space and time consist of information and are all connected by entanglement. If this theory is correct, the information content of the entire Universe is 2399. This is the highest power described in this book, and actually, in physics.Chapter 4: It from BitOne big information processing machine – Guest author: Gerard 't Hooft (TBC)t Hooftt Hooft: : ““there is something happening at a different level of nature”there is something happening at a different level of nature”..On the origin of physical information. – Guest author: Stefano GottardiThe ear In the ear information is copied a dozen times!The eye – on the visual perception of data- climate change. Links to - facts and fakes- the system of ScienceThe System of ScienceHow does this system work? Discussing Hegel’s system of science, logic, technology, Nature, life, physics, consciousness.Artificial IntelligenceThe machine learning and the data-base oriented communities are still living on different planets. I discuss and revisit Tegmark’s recent book Life 3.0 by comparing 3 crosscuts through the Information Universe: i) the classical computer centric view ii) the data centric view iii) the artificial intelligence view.Information densityThe average information density of the universe can be compared to that of written text.Black Body radiation On the information aspects of the third big physical breakthrough of the 20th century (next to General relativity and quantum mechanics).EntropyDiscussing Shannon’s work and identifying that “Information only exists in relation to its environment”. Examples will be given.Cosmic information, cosmogenesis and dark energy by PadmanabhanCosmic information connects the cosmological constant to cosmogenesisIt from BitIs the Universe one big information processing machine?ConsciousnessVery little is known about the consciousness and I refrain from addressing the consciousness per se. A relevant list of about 5 facts we do know are listed. Any view on the relation between the consciousness and the Information Universe should at least deal with this list.Somnium – Musician Jacco Gardner performing at DOTLiveplanetarium at Eurosonic 2019 show case music festival- Inspired by Kepler’s Somnium – directed by EV The Information UniverseAn overview.Facts and fakesHow is all this related to the current facts and fakes issues on the Internet? How do you make sure that what you are reading is accurate and comes from a reliable source?The link between Open Science, FAIR and reliability of data.
£42.74
Princeton University Press Fly by Night Physics
Book Synopsis
£45.00
Oxford University Press Exploring Quantum Mechanics A Collection of 700
Book SynopsisA series of seminal technological revolutions has led to a new generation of electronic devices miniaturized to such tiny scales where the strange laws of quantum physics come into play. There is no doubt that, unlike scientists and engineers of the past, technology leaders of the future will have to rely on quantum mechanics in their everyday work. This makes teaching and learning the subject of paramount importance for further progress. Mastering quantum physics is a very non-trivial task and its deep understanding can only be achieved through working out real-life problems and examples. It is notoriously difficult to come up with new quantum-mechanical problems that would be solvable with a pencil and paper, and within a finite amount of time. This book remarkably presents some 700+ original problems in quantum mechanics together with detailed solutions covering nearly 1000 pages on all aspects of quantum science. The material is largely new to the English-speaking audience. The proTrade ReviewIn his Preface, Victor Galitski, Jr. offers something of an apology for preserving an old-school style to the contents. Nice as it is no such apology is called for with such an excellent book. The publisher, OUP, is to be congratulated on the investment of a professional indexer, who has done a good job. * S.W. Lovesey, Contemporary Physics, *An excellent resource for students and teachers seeking a deep understanding of quantum mechanics * Dr David Bowler, UCL *Finally, the reader receives the English translation of this magnificent book, arguably, the best collection of working problems in Quantum Mechanics. My congratulations are going to thousands of students and working physicists who will definitely find here the material for exercises as well as an inspiration in original research. * David Khmelnitskii, Cavendish Laboratory, Cambridge *Most physicists and physics students will affirm that they learned the subject by working the problems. Here is a treasure trove of quantum problems and solutions - a splendid resource for teachers trying to expand the repertoire of their problem sets and for students of all ages trying to deepen their understanding of the heart of modern physics. * William D. Phillips, NIST, Nobel Laureate Physics 1997 *Provides a wide range of opportunities to learn what quantum mechanics does through an impressive collection of solved problems. [...] The result is a gem of old-world craftsmanship, well worth a place alongside the other classic texts of quantum mechanics in any physicist's library. * Physics Today, *This is a must-have book for anybody who wants to gain working knowledge of quantum mechanics. It gives both fundamental physical understanding and concrete knowledge of specific technical methods and approaches. * Eugene Demler, Harvard University *A treasure-trove of insightful problems and solutions, 'Exploring Quantum Mechanics' provides a unique and rare perspective on quantum physics. Spanning a broad range of subfields, it is a testament to the mastery of the original authors, Galitski Sr. et al., and the translator, Galitski Jr. Students and specialists of quantum mechanics in the English speaking science world will greatly benefit from this invaluable collection. * Gil Refael, CalTech *This collection of problems in quantum physics, probably the largest of its kind in the world, gives the reader the unique possibility to learn to feel at home in the world of quantum mechanics. It includes more than seven hundred problems of various difficulty accompanied by detailed solutions, ranging from elementary single-particle quantum mechanics in one dimension to relativistic field theory and advanced aspects of nuclear physics. * Andrey Varlamov, Italian National Research Council *Table of ContentsPreface ; 1. Operators in Quantum Mechanics ; 2. One-Dimensional Motion ; 3. Orbital Angular Momentum ; 4. Motion in a Spherically-symmetric Potential ; 5. Spin ; 6. Time-Dependent Quantum Mechanics ; 7. Motion in a Magnetic Field ; 8. Perturbation Theory; Variational Method; Sudden and Adiabatic Theory ; 9. Quasi-Classical Approximation; 1/N-Expansion in Quantum Mechanics ; 10. Identical particles; Second quantization ; 11. Atoms and Molecules ; 12. Atomic Nucleus ; 13. Particle Collisions ; 14. Quantum Radiation Theory ; 15. Relativistic Wave Equations ; 16. Appendix
£65.55
Oxford University Press Measurements and Their Uncertainties
Book SynopsisThis short guide to modern error analysis is primarily intended to be used in undergraduate laboratories in the physical sciences. No prior knowledge of statistics is assumed. The necessary concepts are introduced where needed and illustrated graphically. The book emphasises the use of computers for error calculations and data fitting.Trade ReviewWith the shift from analytic methods to spreadsheet-based techniques, this book will enable students simultaneously to (a) become fluent in the choice and application of appropriate methods (b) understand the underlying principles. * David Saxon, University of Glasgow *This is a rather beautiful little book. * David J. Hand, International Statistical Review *Table of Contents1. Errors in the physical sciences ; 2. Random errors in measurement ; 3. Uncertainties as probabilities ; 4. Error propagation ; 5. Data visualisation and reduction ; 6. Least-squares fitting of complex functions ; 7. Computer minimisation and the error matrix ; 8. Hypothesis testing - how good are our models ; 9. Topics for further summary
£26.49
Oxford University Press The Nature of Complex Networks
Book SynopsisThe Nature of Complex Networks provides a systematic introduction to the statistical mechanics of complex networks and the different theoretical achievements in the field that are now finding strands in common.The book presents a wide range of networks and the processes taking place on them, including recently developed directions, methods, and techniques. It assumes a statistical mechanics view of random networks based on the concept of statistical ensembles but also features the approaches and methods of modern random graph theory and their overlaps with statistical physics.This book will appeal to graduate students and researchers in the fields of statistical physics, complex systems, graph theory, applied mathematics, and theoretical epidemiology.Trade ReviewThe current volume by Dorogovtsev and Mendes takes quite a broad view of complex networks to include the analysis of finite and infinite graphs, directed and undirected graphs, multigraphs, hypergraphs, and even simplicial complexes, as networks scale according to increasing N or in some other fashion. The writing style is that of physics and especially statistical mechanics with frequent connections made to physical concepts such as Bose-Einstein condensation...The current volume can especially serve as a useful reference on complex networks from a physics perspective. * Lenwood S. Heath, MathSciNet *Table of ContentsPreface 1: First insight 2: Graphs 3: Classical random graphs 4: Equilibrium networks 5: Evolving networks 6: Connected components 7: Epidemics and spreading phenomena 8: Networks of networks 9: Spectra and communities 10: Walks and search 11: Temporal networks 12: Cooperative systems on networks 13: Inference and reconstruction 14: What's next? Further Reading Appendices A-G References
£89.00
Taylor & Francis Ltd A First Course in Functional Analysis
Book SynopsisWritten as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The aim of this book is to introduce the basic notions of functional analysis and operator theory without requiring the student to have taken a course in measure theory as a prerequisite. It is written and structured the way a course would be designed, with an emphasis on clarity and logical development alongside real applications in analysis. The background required for a student taking this course is minimal; basic linear algebra, calculus up to Riemann integration, and some acquaintance with topological and metric spaces.Trade ReviewA First Course in Functional Analysis by Orr Moshe Shalit is an excellent introduction to linear analysis. Its straightforward approach to the key ideas of the field, with special emphasis on Hilbert spaces, will be very much appreciated both by students and instructors. The book is suitable for advanced undergraduates and beginning graduate students who have had prior exposure to advanced calculus and linear algebra. I highly recommend this book to anyone teaching a first course in abstract analysis.—Jens Harlander, Boise State UniversityTable of ContentsIntroduction and the Stone-Weierstrass theorem. Hilbert spaces. Orthogonality, projections, and bases. Fourier series. Bounded linear operators on Hilbert space. Hilbert function spaces. Banach spaces. The algebra of bounded operators on a Banach space. Compact operators. Compact operators on Hilbert space. Applications of compact operators. The Fourier transform. *The Hahn-Banach Theorems. Metric and topological spaces.
£47.99
Elsevier Science & Technology Analysis Manifolds and Physics Part II Revised
Book SynopsisIncludes twelve more problems.Table of ContentsContents. Preface. Preface to the second edition. Preface. Contents. Conventions.I. Review of fundamental notions of analysis.II. Differential calculus on banach spaces.III. Differentiable manifolds.IV. Integration on manifolds.V. Riemannian manifolds, Kählerian manifolds.V bis. Connections on a principle fibre bundle.VI. Distributions.Supplements and additional problems.Subject Index.Errata to Part I.
£108.90
Cambridge University Press The Standard Model
£47.49
Cambridge University Press Quantum Cosmology
a huge range and FREE tracked UK delivery on ALL orders.
£56.99
Cambridge University Press Half a Century of Supergravity
£71.25
Taylor & Francis Ltd Quantum Continuous Variables
Book SynopsisQuantum Continuous Variables introduces the theory of continuous variable quantum systems, from its foundations based on the framework of Gaussian states to modern developments, including its applications to quantum information and forthcoming quantum technologies. This book addresses the theory of Gaussian states, operations, and dynamics in great depth and breadth, through a novel approach that embraces both the Hilbert space and phase descriptions.The second edition of this book has been revised throughout, and updated to include new topics, such as boson sampling, coherent feedback, nonlinear control, as well as several new solved problems.The volume includes coverage of entanglement theory and quantum information protocols, and their connection with relevant experimental set-ups. General techniques for non-Gaussian manipulations also emerge as the treatment unfolds and are demonstrated with specific case studies.This book willTable of ContentsChapter 1: Introduction. Chapter 2: Quantum Mechanics: Instructions for Use. Chapter 3: Gaussian States of Continuous Variable Systems. Chapter 4: Phase Space Methods. Chapter 5: Gaussian Operations. Chapter 6: Diffusive Dynamics and Continuous Monitoring. Chapter 7: Entanglement of Continuous Variable Systems. Chapter 8: Quantum Information Protocols with Continuous Variables. Chapter 9: A Grand Tour of Continuous Variable Platforms. Appendix A: A Note on Fermions. Appendix B: Some Notable Facts About the Symplectic Group. Appendix C: The Wiener Process. Appendix D: Selected Mathematical Lore on Quantum Channels. Appendix E: Classical and Quantum Estimation Bounds. References. Index.
£86.99
Cambridge University Press Essential Statistical Physics
Book SynopsisThis clear and pedagogical text delivers a concise overview of classical and quantum statistical physics. Essential Statistical Physics shows students how to relate the macroscopic properties of physical systems to their microscopic degrees of freedom, preparing them for graduate courses in areas such as biophysics, condensed matter physics, atomic physics and statistical mechanics. Topics covered include the microcanonical, canonical, and grand canonical ensembles, Liouville''s Theorem, Kinetic Theory, non-interacting Fermi and Bose systems and phase transitions, and the Ising model. Detailed steps are given in mathematical derivations, allowing students to quickly develop a deep understanding of statistical techniques. End-of-chapter problems reinforce key concepts and introduce more advanced applications, and appendices provide a detailed review of thermodynamics and related mathematical results. This succinct book offers a fresh and intuitive approach to one of the most challengingTrade Review'At last a textbook that contains all the required elements for a modern advanced undergraduate course on statistical physics: foundations, quantum statistical mechanics, phase transitions and dynamics. I particularly like the derivation of ensembles through maximization of Gibbs entropy and the Langevin description of Brownian motion. Plenty of instructive problems within ten digestible chapters make this a text I can recommend to my students.' Martin Evans, University of Edinburgh'Statistical mechanics is a vast and fascinating topic, sometimes intimidating beginning students. Kennett succeeds in delivering an agile, fresh and modern exposition of the essential ideas and methods, in addition to a well-thought selection of examples and applications borrowed from all branches of physics. Students and teachers alike will enjoy the carefully organized table of contents for self-study and lecture preparation.' Roberto Raimondi, Roma Tre University'This book incorporates, into a single course, ideas and theoretical techniques in statistical physics and quantum mechanics that are connected by the physical phenomena they are meant to describe. Yet they are rarely all found in the same text. Professor Kennett offers students of theoretical physics a rare opportunity to acquire a mature understanding of their impact and meaning.' Herbert Fertig, Indiana University, BloomingtonTable of ContentsPreface; 1. Introduction; 2. The microcanonical ensemble; 3. Liouville's theorem; 4. The canonical ensemble; 5. Kinetic theory; 6. The grand canonical ensemble; 7. Quantum statistical mechanics; 8. Fermions; 9. Bosons; 10. Phase transitions and order; Appendix A Gaussian integrals and stirling's formula; Appendix B Primer on thermal physics; Appendix C Heat capacity cusp in Bose systems; References; Index.
£32.99
John Wiley & Sons Inc Physics I 501 Practice Problems For Dummies Free
Book SynopsisOvercome your study inertia and polish your knowledge of physics Physics I: 501 Practice Problems For Dummies gives you 501 opportunities to practice solving problems from all the major topics covered you Physics I classin the book and online! Get extra help with tricky subjects, solidify what you've already learned, and get in-depth walk-throughs for every problem with this useful book. These practice problems and detailed answer explanations will help you succeed in this tough-but-required class, no matter what your skill level. Thanks to Dummies, you have a resource to help you put key concepts into practice. Work through practice problems on all Physics I topics covered in school classesStep through detailed solutions to build your understandingAccess practice questions online to study anywhere, any timeImprove your grade and up your study game with practice, practice, practiceThe material presented in Physics I: 501 Practice Problems For Dummies is an excellent resource for students, as well as parents and tutors looking to help supplement Physics I instruction. Physics I: 501 Practice Problems For Dummies (9781119883715) was previously published as Physics I Practice Problems For Dummies (9781118853153). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.Table of ContentsPart 1: The Questions 5 Chapter 1: Reviewing Math Fundamentals and Physics Measurements 7 Chapter 2: Moving along with Kinematics 11 Chapter 3: Moving in a Two-Dimensional World 17 Chapter 4: Pushing and Pulling: The Forces around You 23 Chapter 5: Slipping and Sliding: Motion and Forces 31 Chapter 6: Describing Rotational Motion 39 Chapter 7: Rotating Around in Different Loops 45 Chapter 8: Going with the Flow: Fluids 51 Chapter 9: Getting Some Work Done 57 Chapter 10: Picking Up Some Momentum with Impulse 65 Chapter 11: Rolling Around with Rotational Kinetics and Dynamics 73 Chapter 12: Bouncing with a Spring: Simple Harmonic Motion 87 Chapter 13: Heating Up with Thermodynamics and Heat Transfer 93 Chapter 14: Living in an Ideal World with the Ideal Gas Law 99 Chapter 15: Experiencing the Laws of Thermodynamics 103 Part 2: The Answers 109 Chapter 16: Answers 111 Index 413
£18.69
World Scientific Europe Ltd Mathematical Models In Science
Book SynopsisMathematical Models in Science treats General Relativity and Quantum Mechanics in a non-commutative Algebraic Geometric framework.Based on ideas first published in Geometry of Time-Spaces: Non-commutative Algebraic Geometry Applied to Quantum Theory (World Scientific, 2011), Olav Arnfinn Laudal proposes a Toy Model as a Theory of Everything, starting with the notion of the Big Bang in Cosmology, modeled as the non-commutative deformation of a thick point. From this point, the author shows how to extract reasonable models for both General Relativity and Quantum Theory. This book concludes that the universe turns out to be the 6-dimensional Hilbert scheme of pairs of points in affine 3-space. With this in place, one may develop within the model much of the physics known to the reader. In particular, this theory is applicable to the concept of Dark Matter and its effects on our visual universe.Hence, Mathematical Models in Science proves the dependency of deformation theory in Mathematical Physics and summarizes the development of physical applications of pure mathematics developed in the twentieth century.
£81.00
Springer Nature Switzerland AG Computer Meets Theoretical Physics: The New
Book SynopsisThis book provides a vivid account of the early history of molecular simulation, a new frontier for our understanding of matter that was opened when the demands of theoretical physicists were met by the availability of the modern computers. Since their inception, electronic computers have enormously increased their performance, thus making possible the unprecedented technological revolution that characterizes our present times. This obvious technological advancement has brought with it a silent scientific revolution in the practice of theoretical physics. In particular, in the physics of matter it has opened up a direct route from the microscopic physical laws to observable phenomena. One can now study the time evolution of systems composed of millions of molecules, and simulate the behaviour of macroscopic materials and actually predict their properties. Molecular simulation has provided a new theoretical and conceptual tool that physicists could only dream of when the foundations of statistical mechanics were laid. Molecular simulation has undergone impressive development, both in the size of the scientific community involved and in the range and scope of its applications. It has become the ubiquitous workhorse for investigating the nature of complex condensed matter systems in physics, chemistry, materials and the life sciences. Yet these developments remain largely unknown outside the inner circles of practitioners, and they have so far never been described for a wider public. The main objective of this book is therefore to offer a reasonably comprehensive reconstruction of the early history of molecular simulation addressed to an audience of both scientists and interested non-scientists, describing the scientific and personal trajectories of the main protagonists and discussing the deep conceptual innovations that their work produced.Trade Review“The authors focus mainly on the development of molecular dynamics, in which the motions of many atoms are simultaneously advanced and tracked in small time steps. They explain the scientific evolution of the field; provide biographies— and numerous photographs— of leading characters … . Computer Meets Theoretical Physics should be on the bookshelf of anyone interested in the history of science.” (Christoph Dellago, Physics Today, October, 2021)Table of ContentsA new science.- The origins of simulation.- The growth of molecular dynamics.- Molecular simulation lands in Europe.- CECAM and the development of molecular simulation.- Simulation comes of age.- Quantum systems and critical phenomena.- A first finishing line and some provisional conclusions.
£31.99
Springer International Publishing AG Mathematical Physics: A Modern Introduction to
Book SynopsisThe goal of this book is to expose the reader to the indispensable role that mathematics plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fibre bundles and their applications to differential geometry and gauge theories.This second edition is a substantial revision with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras, fibre bundles, and gauge theories. The spirit of the first edition, namely the balance between rigour and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the "unreasonable effectiveness of mathematics" in modern physics.Trade ReviewFrom the book reviews:“Mathematical Physics: A Modern Introduction to Its Foundations is intended for adoption in a course or a sequence of ‘methods of mathematical physics’ at the advanced undergraduate or beginning graduate level. … this is a textbook that every library must have (with a large number of copies in reserve), and it will be a valuable aid for committed students, researchers, and instructors of science and applied mathematics.” (Eleftherios Kirkinis, SIAM Review, Vol. 56 (3), September, 2014)“Hassani uses the concept of a vector space to build all of the discussions for the basic ideas about the subject. … Hassani writes well and does a very good job of connecting the various topics presented. Each of the 30 chapters contains clear, worked-out examples and problems at the end. Summing Up: Recommended. Upper-division undergraduates and graduate students.” (E. Kincanon, Choice, Vol. 51 (11), July, 2014)Some praise for the previous edition: PAGEOPH [Pure and Applied Geophysics]Review by Daniel Wojcik, University of Maryland"This volume should be a welcome addition to any collection. The book is well written and explanations are usually clear. Lives of famous mathematicians and physicists are scattered within the book. They are quite extended, often amusing, making nice interludes. Numerous exercises help the student practice the methods introduced. … I have recently been using this book for an extended time and acquired a liking for it. Among all the available books treating mathematical methods of physics this one certainly stands out and assuredly it would suit the needs of many physics readers."ZENTRALBLATT MATHReview by G.Roepstorff, University of Aachen, Germany"… Unlike most existing texts with the same emphasis and audience, which are merely collections of facts and formulas, the present book is more systematic, self-contained, with a level of presentation that tends to be more formal and abstract. This entails proving a large number of theorems, lemmas, and corollaries, deferring most of the applications that physics students might be interested in to the example sections in small print. Indeed, there are 350 worked-out examples and about 850 problems. … A very nice feature is the way the author intertwines the formalism with the life stories and anecdotes of some mathematicians and physicists, leading at their times. As is often the case, the historical view point helps to understand and appreciate the ideas presented in the text. … For the physics student in the middle of his training, it will certainly prove to be extremely useful."THE PHYSICISTReview by Paul Davies, Orion Productions, Adelaide, Australia"I am pleased to have so many topics collected in a single volume. All the tricks are there of course, but supported by sufficient rigour and substantiation to make the dedicated mathematical physicist sigh with delight."EMS [EUROPEAN MATHEMATICAL SOCIETY] NEWSLETTER"This book is a condensed exposition of the mathematics that is met in most parts of physics. The presentation attains a very good balance between the formal introduction of concepts, theorems and proofs on one hand, and the applied approach on the other, with many examples, fully or partially solved problems, and historical remarks. An impressive amount of mathematics is covered. … This book can be warmly recommended as a basic source for the study of mathematics for advanced undergraduates or beginning graduate students in physics and applied mathematics, and also as a reference book for all working mathematicians and physicists."Table of ContentsMathematical Preliminaries.- I Finite-Dimensional Vector Spaces.- 1 Vectors and Linear Maps.- 2 Algebras.- 3 Operator Algebra.- 4 Matrices.- 5 Spectral Decomposition.- II Infinite-Dimensional Vector Spaces.- 6 Hilbert Spaces.- 7 Classical Orthogonal Polynomials.- 8 Fourier Analysis.- III Complex Analysis.- 9 Complex Calculus.- 10 Calculus of Residues.- 11 Advanced Topics.- IV Differential Equations.- 12 Separation of Variables in Spherical Coordinates.- 13 Second-Order Linear Differential Equations.- 14 Complex Analysis of SOLDEs.- 15 Integral Transforms and Differential Equations.- V Operators on Hilbert Spaces.- 16 Introductory Operator Theory.- 17 Integral Equations.- 18 Sturm-Liouville Systems.- VI Green's Functions.- 19 Green's Functions in One Dimension.- 20 Multidimensional Green's Functions: Formalism.- 21 Multidimensional Green's Functions: Applications.- VII Groups and Their Representations.- 22 Group Theory.- 23 Representation of Groups.- 24 Representations of the Symmetric Group.- VIII Tensors and Manifolds.- 25 Tensors.- 26 Clifford Algebras.- 27 Analysis of Tensors.- IX Lie Groups and Their Applications.- 28 Lie Groups and Lie Algebras.- 28.2 An Outline of Lie Algebra Theory.- 29 Representation of Lie Groups and Lie Algebras.- 30 Representation of Clifford Algebras.- 31 Lie Groups and Differential Equations.- 32 Calculus of Variations, Symmetries, and Conservation Laws.- X Fiber Bundles.- 33 Fiber Bundles and Connections.- 34 Gauge Theories.- 35 Differential Geometry.- 36 Riemannian Geometry
£999.99
Springer International Publishing AG Non-Newtonian Fluid Mechanics and Complex Flows:
Book SynopsisThis book presents a series of challenging mathematical problems which arise in the modeling of Non-Newtonian fluid dynamics. It focuses in particular on the mathematical and physical modeling of a variety of contemporary problems, and provides some results. The flow properties of Non-Newtonian fluids differ in many ways from those of Newtonian fluids. Many biological fluids (blood, for instance) exhibit a non-Newtonian behavior, as do many naturally occurring or technologically relevant fluids such as molten polymers, oil, mud, lava, salt solutions, paint, and so on. The term "complex flows" usually refers to those fluids presenting an "internal structure" (fluid mixtures, solutions, multiphase flows, and so on). Modern research on complex flows has increased considerably in recent years due to the many biological and industrial applications.Table of Contents1. Viscoplastic Fluids: Mathematical Modeling and Applications.- 2. An Introduction to the Homogenization Modeling of Non-Newtonian and Electrokinetic Flows in Porous Media.- 3. Old Problems Revisited From New Perspectives in Implicit Theories of Fluids.- 4. Hemorheology: Non-Newtonian Constitutive Models for Blood Flow Simulations.- 5. Lectures on Hyperbolic Equations and their Numerical Approximation.
£40.49
World Scientific Publishing Co Pte Ltd Mathematical Methods For Physicists
Book SynopsisThe book covers different aspects of mathematical methods for Physics. It is designed for graduate courses but a part of it can also be used by undergraduate students. The leitmotiv of the book is the search for a common mathematical framework for a wide class of apparently disparate physical phenomena. An important role, within this respect, is provided by a nonconventional formulation of special functions and polynomials. The proposed methods simplify the understanding of the relevant technicalities and yield a unifying view to their applications in Physics as well as other branches of science.The chapters are not organized through the mathematical study of specific problems in Physics, rather they are suggested by the formalism itself. For example, it is shown how the matrix formalism is useful to treat ray Optics, atomic systems evolution, QED, QCD and Feynman diagrams. The methods presented here are simple but rigorous. They allow a fairly substantive tool of analysis for a variety of topics and are useful for beginners as well as the more experienced researchers.
£49.50
World Scientific Publishing Co Pte Ltd Lectures On Quantum Mechanics And Attractors
Book SynopsisThis book gives a concise introduction to Quantum Mechanics with a systematic, coherent, and in-depth explanation of related mathematical methods from the scattering theory and the theory of Partial Differential Equations.The book is aimed at graduate and advanced undergraduate students in mathematics, physics, and chemistry, as well as at the readers specializing in quantum mechanics, theoretical physics and quantum chemistry, and applications to solid state physics, optics, superconductivity, and quantum and high-frequency electronic devices.The book utilizes elementary mathematical derivations. The presentation assumes only basic knowledge of the origin of Hamiltonian mechanics, Maxwell equations, calculus, Ordinary Differential Equations and basic PDEs. Key topics include the Schrödinger, Pauli, and Dirac equations, the corresponding conservation laws, spin, the hydrogen spectrum, and the Zeeman effect, scattering of light and particles, photoelectric effect, electron diffraction, and relations of quantum postulates with attractors of nonlinear Hamiltonian PDEs. Featuring problem sets and accompanied by extensive contemporary and historical references, this book could be used for the course on Quantum Mechanics and is also suitable for individual study.
£72.00
World Scientific Publishing Co Pte Ltd Memorial Volume for Ludwig Faddeev
Book SynopsisBoth a theoretical physicist and mathematician, Ludwig Faddeev is best known for "the Faddeev equations", the first mathematically well-posed formulation of the quantum-mechanical three-body problem, which are foundational in few-body physics. Having made multiple seminal contributions to theoretical physics (Faddeev–Popov ghosts, Faddeev–Senjanovic quantization, Faddeev–Jackiw quantization among others), he was conferred numerous prizes and memberships of prestigious institutions in recognition of the importance of his work. These include the Dannie Heineman Prize, the Dirac Prize, 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 physics and mathematics, this volume serves as a tribute to this legendary figure in mathematical physics. Volume contributors include: Fields medallist Sir Michael Atiyah, Jürg Fröhlich, Roman Jackiw, Louis Nirenberg, Samson Shatashvili, Vladimir Korepin as well as Nobel laureates Frank Wilczek, C N Yang and Gerard 't Hooft.
£189.00
Oxford University Press Quantum Computing From Alice to Bob
Book SynopsisQuantum Computing: From Alice to Bob provides a distinctive and accessible introduction to the rapidly growing fields of quantum information science and quantum computing. The textbook is designed for undergraduate students and upper-level secondary school students with little or no background in physics, computer science, or mathematics beyond secondary school algebra and a bit of trigonometry. Higher education faculty members and secondary school mathematics, physics, and computer science educators who want to learn about quantum computing and perhaps teach a course accessible to students with wide ranging backgrounds will also find the book useful and enjoyable. While broadly accessible, the textbook does not dodge providing a solid conceptual and formal understanding of quantum states and entanglement - the key ingredients in quantum computing. The authors dish up a hearty meal for the readers, disentangling and explaining many of the classic quantum algorithms that demonstrate how and when QC has an advantage over classical computers. The book is spiced with Try Its, brief exercises that engage the readers in problem solving (both with and without mathematics) and help them digest the many counter-intuitive quantum information science and quantum computing concepts.Trade ReviewWhile broadly accessible, the textbook does not dodge providing a solid conceptual and formal understanding of quantum states and entanglement - the key ingredients in quantum computing. The authors dish up a hearty meal for the readers, disentangling and explaining many of the classic quantum algorithms that demonstrate how and when QC has an advantage over classical computers. The book is spiced with Try Its, brief exercises that engage the readers in problem solving (both with and without mathematics) and help them digest the many counter-intuitive quantum information science and quantum computing concepts. * zb Math Open *This is a refreshing, pedagogical, and timely overview of quantum computing for non-experts, by two well-qualified authors. * Shimon Kolkowitz, University of Wisconsin-Madison *This is a much needed bridge between popular and technical texts that provides easy access to the topic of quantum computing for curious readers who aim to go further and deeper in their understanding. * Dieter Jaksch, University of Oxford *The reader gets to avoid the complexity of technical quantum-computing books, yet gets more depth and rigor than in the popular writing on the topic...the book is written in a very conversational rather than academic tone. * Bogdan Hoanca, University of Alaska Anchorage *Table of Contents1: Introduction 2: Traditional Computing 3: Traditional Bits in New Clothes 4: Qubits and Quantum States 5: Quantum Measurements 6: Quantum Gates 7: Putting a Spin on Spin 8: My Basis, Your Basis 9: Multi-qubit Systems, Entanglement, and Quantum Weirdness 10: Quantum Circuits and Multi-qubit Applications 11: Quantum Computing Algorithms 12: More Quantum Algorithms 13: RSA Encryption and the Shor Factoring Algorithm 14: Fundamental Quantum Issues 15: Complexifying Quantum States 16: Present and Future QIS and QC
£35.49
Oxford University Press Mathematical Physics with Differential Equations
Book SynopsisThis textbook uses insight from differential equations to analyse fundamental subjects of modern theoretical physics, including classical and quantum mechanics, thermodynamics, electromagnetism, superconductivity, gravitational physics, and quantum field theories.Table of ContentsPreface Notation and Convention 1: Hamiltonian Systems and Applications 2: Schrödinger Equation and Quantum Mechanics 3: Maxwell Equations, Dirac Monopole, and Gauge Fields 4: Special Relativity 5: Abelian Gauge Field Equations 6: Dirac Equations 7: GinzburgDSLandau Equations for Superconductivity 8: Magnetic Vortices in Abelian Higgs Theory 9: Non-Abelian Gauge Field Equations 10: Einstein Equations and Related Topics 11: Charged Vortices and ChernDSSimons Equations 12: Skyrme Model and Related Topics 13: Strings and Branes 14: BornDSInfeld Theory of Electromagnetism 15: Canonical Quantization of Fields Appendices Bibliography Index
£40.00
Oxford University Press The Physics of Quantum Mechanics
Book SynopsisThe Physics of Quantum Mechanics aims to give students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.Trade ReviewThis book is a deep, well-explained and beautiful text on the foundations and applications of quantum mechanics. It is eminently suitable for advanced undergraduates and graduates who wish to study the subject. Some precious jewels can be found within after building up the Dirac representation of quantum mechanics: scattering theory and condensed matter applications, for example. * Ben Allanach, Department of Applied Mathematics and Theoretical Physics, University of Cambridge *The extensive discussion of the physics behind the mathematical manipulations of the theory, coupled with the smooth, colloquial writing style and delightful historical footnotes makes this book somewhat unique in the field. It devotes large sections to the more modern topics of quantum computing and quantum measurement theory, which are active areas of current research. In addition, there is a copious selection of problems, at all levels of difficulty, which should prove extremely useful to anyone teaching the course. * Harold S. Zapolsky, Rutgers University *Binney and Skinners introductory book on quantum mechanics approaches the subject in a unique way ... The text is very well written for the target audience of second or third year University students in Physics, Chemistry, or certain Engineering specialties and I would highly recommend it for anyone who might be considering teaching or tutoring such a course. * Brian Todd Huffman, University of Oxford *Table of Contents1. Introduction ; 2. Operators, measurement and time evolution ; 3. Oscillators ; 4. Transformations & Observables ; 5. Motion in step potentials ; 6. Composite systems ; 7. Angular Momentum ; 8. Hydrogen ; 9. Motion in a magnetic field ; 10. Perturbation theory ; 11. Helium and the periodic table ; 12. Adiabatic principle ; 13. Scattering Theory ; Appendices
£35.14
Springer Science+Business Media Basic Training in Mathematics A Fitness Program
Book SynopsisBased on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students.Trade Review`Shankar obviously enjoys his mathematics, and his attitude toward mathematics is simultaneously refreshing and contagious....Dirac notation is intriguingly introduced in the discussion of vector spaces. Finally, the book is richly endowed with well-chosen problems.' American Journal of Physics `Consistent with the needs of science students...a sound mathematical reference for anyone studying or practicing in the physical sciences.' Choice Table of ContentsDifferential Calculus of One Variable. Integral Calculus. Calculus of Many Variables. Infinite Series. Complex Numbers. Functions of a Complex Variable. Vector Calculus. Matrices and Determinants. Linear Vector Spaces. Differential Equations. Answers. Index.
£49.49
CRC Press Knot Theory
Book SynopsisOver the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer homology), the A-polynomial which give rise to strong invariants of knots and 3-manifolds, in particular, many new unknot detectors. New to this Edition is a discussion of Heegaard-Floer homology theory and A-polynomial of classical links, as well as updates throughout the text.Knot Theory, Second Edition is notable not only for its expert presentation of knot theory's state of the art but also for its accessibility. It is valuable as a profes-sional reference and will serve equally well as a text for a course on knot theory.Trade ReviewPraise for the first editionThis book is highly recommended for all students and researchers in knot theory, and to those in the sciences and mathematics who would like to get a flavor of this very active field.”-Professor Louis H. Kauffman, Department of Mathematics, Statistics and Com-puter Science, University of Illinois at ChicagoTable of ContentsKnots, links, and invariant polynomials. Introduction. Reidemeister moves. Knot arithmetics. Links in 2-surfaces in R3.Fundamental group; the knot group. The knot quandle and the Conway algebra. Kauffman's approach to Jones polynomial. Properties of Jones polynomials. Khovanov's complex. Theory of braids. Braids, links and representations of braid groups. Braids and links. Braid construction algorithms. Algorithms of braid recognition. Markov's theorem; the Yang-Baxter equation. Vassiliev's invariants. Definition and Basic notions of Vassiliev invariant theory. The chord diagram algebra. The Kontsevich integral and formulae for the Vassiliev invariants. Atoms and d-diagrams. Atoms, height atoms and knots. The bracket semigroup of knots. Virtual knots. Basic definitions and motivation. Invariant polynomials of virtual links. Generalised Jones-Kauffman polynomial. Long virtual knots and their invariants. Virtual braids. Other theories. 3-manifolds and knots in 3-manifolds. Legendrian knots and their invariants. Independence of Reidemeister moves.
£47.99
Springer-Verlag New York Inc. Conformal Field Theory Graduate Texts in
Book SynopsisIntended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics.Table of Contents1. Introduction; 2. Quantum Field Theory; 3. Statistical Mechanics; 4. Global Conformal Invariance; 5. Conformal Invariance in Two Dimensions; 6. The Operator Formalism I; 7. The Operator Formalism II; 8. Minimal Models; 9. The Coulomb Gas Formalism; 10. Modular Invariance; 11. Finite Size Scaling; 12. The Two-Dimensional Ising Model; 13. Simple Lie Algebras; 14. Affine Lie Algebras; 15. The WZNW Model; 16. Fusion Rules; 17. Modular Invariants; 18. The Coset Construction
£125.99
Springer-Verlag New York Inc. Mathematical Methods of Classical Mechanics
Book SynopsisI Newtonian Mechanics.- 1 Experimental facts.- 2 Investigation of the equations of motion.- II Lagrangian Mechanics.- 3 Variational principles.- 4 Lagrangian mechanics on manifolds.- 5 Oscillations.- 6 Rigid bodies.- III Hamiltonian Mechanics.- 7 Differential forms.- 8 Symplectic manifolds.- 9 Canonical formalism.- 10 Introduction to perturbation theory.- Appendix 1 Riemannian curvature.- Appendix 2 Geodesics of left-invariant metrics on Lie groups and the hydrodynamics of ideal fluids.- Appendix 3 Symplectic structures on algebraic manifolds.- Appendix 4 Contact structures.- Appendix 5 Dynamical systems with symmetries.- Appendix 6 Normal forms of quadratic hamiltonians.- Appendix 7 Normal forms of hamiltonian systems near stationary points and closed trajectories.- Appendix 8 Theory of perturbations of conditionally periodic motion, and Kolmogorov's theorem.- Appendix 9 Poincaré's geometric theorem, its generalizations and applications.- Appendix 10 Multiplicities of characteristic frequencies, and ellipsoids depending on parameters.- Appendix 11 Short wave asymptotics.- Appendix 12 Lagrangian singularities.- Appendix 13 The Korteweg-de Vries equation.- Appendix 14 Poisson structures.- Appendix 15 On elliptic coordinates.- Appendix 16 Singularities of ray systems.Trade ReviewSecond Edition V.I. Arnol’d Mathematical Methods of Classical Mechanics "The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising . . . The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview." —AMERICAN MATHEMATICAL MONTHLYTable of ContentsI Newtonian Mechanics.- 1 Experimental facts.- 2 Investigation of the equations of motion.- II Lagrangian Mechanics.- 3 Variational principles.- 4 Lagrangian mechanics on manifolds.- 5 Oscillations.- 6 Rigid bodies.- III Hamiltonian Mechanics.- 7 Differential forms.- 8 Symplectic manifolds.- 9 Canonical formalism.- 10 Introduction to perturbation theory.- Appendix 1 Riemannian curvature.- Appendix 2 Geodesics of left-invariant metrics on Lie groups and the hydrodynamics of ideal fluids.- Appendix 3 Symplectic structures on algebraic manifolds.- Appendix 4 Contact structures.- Appendix 5 Dynamical systems with symmetries.- Appendix 6 Normal forms of quadratic hamiltonians.- Appendix 7 Normal forms of hamiltonian systems near stationary points and closed trajectories.- Appendix 8 Theory of perturbations of conditionally periodic motion, and Kolmogorov’s theorem.- Appendix 9 Poincaré’s geometric theorem, its generalizations and applications.- Appendix 10 Multiplicities of characteristic frequencies, and ellipsoids depending on parameters.- Appendix 11 Short wave asymptotics.- Appendix 12 Lagrangian singularities.- Appendix 13 The Korteweg-de Vries equation.- Appendix 14 Poisson structures.- Appendix 15 On elliptic coordinates.- Appendix 16 Singularities of ray systems.
£45.89
