Download or read book A Half century of Physical Asymptotics and Other Diversions written by Michael V. Berry and published by . This book was released on 2017 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Michael Berry is a theoretical physicist who has contributed to a wide variety of areas in quantum mechanics, optics and related mathematics, linked by the geometrical aspects of waves, especially phase. This collection of his selected published and unpublished papers, reviews, tributes to other scientists, speeches and other works ranges from the technical to the popular. It is organized by the themes of his significant scientific contributions. Detailed introductions emphasize the rich connections between the different themes. An essential read for physicists, mathematicians, students and philosophers of science"--Publisher's website.
Download or read book A Half Century of Physical Asymptotics and Other Diversions written by Michael Berry and published by World Scientific. This book was released on 2017-07-19 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Michael Berry is a theoretical physicist who has contributed to a wide variety of areas in quantum mechanics, optics and related mathematics, linked by the geometrical aspects of waves, especially phase. This collection of his selected published and unpublished papers, reviews, tributes to other scientists, speeches and other works ranges from the technical to the popular. It is organized by the themes of his significant scientific contributions. Detailed introductions emphasize the rich connections between the different themes. An essential read for physicists, mathematicians, students and philosophers of science.
Download or read book Mathematical Mechanics From Particle To Muscle written by Ellis D Cooper and published by World Scientific. This book was released on 2011-03-28 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unprecedented book offers all the details of the mathematical mechanics underlying modern modeling of skeletal muscle contraction. The aim is to provide an integrated vision of mathematics, physics, chemistry and biology for this one understanding. The method is to take advantage of latest mathematical technologies — Eilenberg-Mac Lane category theory, Robinson infinitesimal calculus and Kolmogorov probability theory — to explicate Particle Mechanics, The Theory of Substances (categorical thermodynamics), and computer simulation using a diagram-based parallel programming language (stochastic timing machinery). Proofs rely almost entirely on algebraic calculations without set theory. Metaphors and analogies, and distinctions between representational pictures, mental model drawings, and mathematical diagrams are offered.AP level high school calculus students, high school science teachers, undergraduates and graduate college students, and researchers in mathematics, physics, chemistry, and biology may use this integrated publication to broaden their perspective on science, and to experience the precision that mathematical mechanics brings to understanding the molecular mechanism vital for nearly all animal behavior.
Download or read book Caustic Light in Nonlinear Photonic Media written by Alessandro Zannotti and published by Springer Nature. This book was released on 2020-09-26 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Caustics are natural phenomena, forming light patterns in rainbows or through drinking glasses, and creating light networks at the bottom of swimming pools. Only in recent years have scientists started to artificially create simple caustics with laser light. However, these realizations have already contributed to progress in advanced imaging, lithography, and micro-manipulation. In this book, Alessandro Zannotti pioneers caustics in many ways, establishing the field of artificial caustic optics. He employs caustic design to customize high-intensity laser light. This is of great relevance for laser-based machining, sensing, microscopy, and secure communication. The author also solves a long standing problem concerning the origin of rogue waves which appear naturally in the sea and can have disastrous consequences. By means of a far-reaching optical analogy, he identifies scattering of caustics in random media as the origin of rogue waves, and shows how nonlinear light-matter interaction increases their probability.
Download or read book Progress in Optics written by and published by Elsevier. This book was released on 2024-04-26 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in Optics, Volume 69 is the latest release in a yearly publication that provides in-depth reviews on topics in experimental theoretical optics, as well as on optical engineering. The book's intended audience are researchers and graduate students. Chapters in this new release include Radiative Transport in Rotated Reference Frames, Consistent scalar imaging theory, Single photon detection with superconducting detectors and their applications, Phased-array lidar, Pearcey beams and autofocusing waves, Meta-surfaces, and Holographic metasurfaces. Provides state-of-the-art reviews written by experts Covers all aspects of optics Keeps researchers abreast of new developments in the field
Download or read book Visual Differential Geometry and Forms written by Tristan Needham and published by Princeton University Press. This book was released on 2021-07-13 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: An inviting, intuitive, and visual exploration of differential geometry and forms Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner. Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.
Download or read book A Mind Over Matter written by Andrew Zangwill and published by Oxford University Press, USA. This book was released on 2021-01-08 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Mind Over Matter is a biography of the Nobel-prize winner Philip W. Anderson, a person widely regarded as one of the most accomplished and influential physicists of the second half of the twentieth century. Anderson (1923-2020) was a theoretician who specialized in the physics of matter, including window glass and metals, magnets and semiconductors, liquid crystals and superconductors. More than any other single person, Anderson transformed the patchwork subject of solid-state physics into the deep, subtle, and coherent discipline known today as condensed matter physics. Among his many world-class research achievements, Anderson discovered an aspect of wave physics that had been missed by all previous scientists going back to Isaac Newton. He became a public figure when he testified before Congress to oppose its funding of an expensive project intended exclusively for particle physics research. Over the years, he published many articles designed to influence a broad audience about issues where science impacted public policy and culture. Anderson grew up in the American mid-west, was educated at Harvard, and rose to the pinnacle of his profession during the first decade of his thirty-five career as a theoretical physicist at Bell Telephone Laboratories. Almost uniquely, he spent many years working half-time as a professor at the University of Cambridge and at Princeton University. The outspoken Anderson enjoyed broad influence outside of physics when he helped develop and champion the concepts of emergence and complexity as organizing principles to help attack very difficult problems in technically challenging disciplines.
Download or read book Advancement Opportunities and Practices in Telehealth Technology written by Kumar, S.N. and published by IGI Global. This book was released on 2022-05-27 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent advancements in medical technology, such as telehealth services, have influenced the healthcare sector tremendously. While telehealth technology and its application are not new, it has not been widely utilized despite the numerous benefits and opportunities it provides. However, recent policy changes have lowered obstacles to telehealth access and pushed the use of telemedicine to deliver acute, chronic, primary, and specialist care. In order to successfully integrate this technology in all areas of healthcare, further study is required to fully understand the best practices and challenges of adoption. Advancement, Opportunities, and Practices in Telehealth Technology discusses advances in the digital health technology and telemedicine domains as well as key challenges, solutions, and opportunities regarding their use in healthcare. The book also introduces critical communication protocols, interconnections, system designs, and developments that are extensively used in the present-day telehealth process. Covering a wide range of topics such as digital twins, big data analytics, and robotics, this reference work is an ideal resource for engineers, industry professionals, hospital administration, policymakers, researchers, scholars, academicians, practitioners, instructors, and students.
Download or read book The Tower of Hanoi Myths and Maths written by Andreas M. Hinz and published by Springer Science & Business Media. This book was released on 2013-01-31 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive monograph on the mathematical theory of the solitaire game “The Tower of Hanoi” which was invented in the 19th century by the French number theorist Édouard Lucas. The book comprises a survey of the historical development from the game’s predecessors up to recent research in mathematics and applications in computer science and psychology. Apart from long-standing myths it contains a thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material. The main objects of research today are the so-called Hanoi graphs and the related Sierpiński graphs. Acknowledging the great popularity of the topic in computer science, algorithms and their correctness proofs form an essential part of the book. In view of the most important practical applications of the Tower of Hanoi and its variants, namely in physics, network theory, and cognitive (neuro)psychology, other related structures and puzzles like, e.g., the “Tower of London”, are addressed. Numerous captivating integer sequences arise along the way, but also many open questions impose themselves. Central among these is the famed Frame-Stewart conjecture. Despite many attempts to decide it and large-scale numerical experiments supporting its truth, it remains unsettled after more than 70 years and thus demonstrates the timeliness of the topic. Enriched with elaborate illustrations, connections to other puzzles and challenges for the reader in the form of (solved) exercises as well as problems for further exploration, this book is enjoyable reading for students, educators, game enthusiasts and researchers alike.
Download or read book Teaching Statistics written by Andrew Gelman and published by OUP Oxford. This book was released on 2002-08-08 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students in the sciences, economics, psychology, social sciences, and medicine take introductory statistics. Statistics is increasingly offered at the high school level as well. However, statistics can be notoriously difficult to teach as it is seen by many students as difficult and boring, if not irrelevant to their subject of choice. To help dispel these misconceptions, Gelman and Nolan have put together this fascinating and thought-provoking book. Based on years of teaching experience the book provides a wealth of demonstrations, examples and projects that involve active student participation. Part I of the book presents a large selection of activities for introductory statistics courses and combines chapters such as, 'First week of class', with exercises to break the ice and get students talking; then 'Descriptive statistics' , collecting and displaying data; then follows the traditional topics - linear regression, data collection, probability and inference. Part II gives tips on what does and what doesn't work in class: how to set up effective demonstrations and examples, how to encourage students to participate in class and work effectively in group projects. A sample course plan is provided. Part III presents material for more advanced courses on topics such as decision theory, Bayesian statistics and sampling.
Download or read book Advanced Technology for Design and Fabrication of Composite Materials and Structures written by George C. Sih and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last decade has seen a significant growth in the processing and fabrication of advanced composite materials. This volume contains the up-to-date contributions of those with working experience in the automotive, marine, aerospace and construction field. Starting with modern technologies concerned with assessing the change in material microstructure in terms of the processing parameters, methodologies are offered to account for tradeoffs between the fundamental variables such as temperature and pressure that control the product quality. The book contains new ideas and data, not available in the open literature.
Download or read book Hydrological Models for Environmental Management written by Mikhail V. Bolgov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a selection of papers from a NATO Advanced Research Workshop entitled "Stochastic models of hydrological processes and their applications to problems of environmental preservation" convened in Moscow over the period 23-27 November 1998. The Workshop was unique in providing the first opportunity for over a decade for countries of the Russian Federation to interact with other countries across the world to discuss hydrological science issues relevant to environmental management. The contrasting schools of thought within the Russian Federation and with other countries proved a fascinating and valuable experience for those fortunate enough to attend. The scientific content of the Workshop was motivated by a number of concerns. Water is a key natural resource whose modelling and management is made complex by its inherent spatial unevenness and time variability. Traditional methods for investigating hydrological processes in nature employ stochastic modelling and forecasting. However these are not well developed with regard to (i) representing the characteristics of hydrological regimes, and (ii) investigating the influence of water factors on processes which arise in biological systems and those involving hydrochemical, geophysical and other processes.
Download or read book Duality Symmetry written by Ivan Fernandez-Corbaton and published by MDPI. This book was released on 2020-12-10 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is one of the most general concepts in physics. Symmetry arguments are used to explain and predict observations at all length scales, from elementary particles to cosmology. The generality of symmetry arguments, combined with their simplicity, makes them a powerful tool for both fundamental and applied investigations. In electrodynamics, one of the symmetries is the invariance of the equations under exchange of electric and magnetic quantities. The continuous version of this symmetry is most commonly known as electromagnetic duality symmetry. This concept has been accepted for more than a century, and, throughout this time, has influenced other areas of physics, like high energy physics and gravitation. This Special Issue is devoted to electromagnetic duality symmetry and other vareities of dualities in physics. It contains four Articles, one Review and one Perspective. The context of the contributions ranges from string theory to applied nanophotonics, which, as anticipated, shows that duality symmetries in general and electromagnetic duality symmetry in particular are useful in a wide variety of physics fields, both theoretical and applied. Moreover, a number of the contributions show how the use of symmetry arguments and the quantification of symmetry breaking can successfully guide our theoretical understanding and provide us with guidelines for system design.
Download or read book Beautiful Geometry written by Eli Maor and published by Princeton University Press. This book was released on 2017-04-11 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exquisite visual celebration of the 2,500-year history of geometry If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.
Download or read book Smoothing and Decay Estimates for Nonlinear Diffusion Equations written by Juan Luis Vázquez and published by Oxford University Press, USA. This book was released on 2006-08-03 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is concerned with quantitative aspects of the theory of nonlinear diffusion equations, whichappear as mathematical models in different branches of Physics, Chemistry, Biology and Engineering.
Download or read book Imagine Math 6 written by Michele Emmer and published by Springer. This book was released on 2018-11-06 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. Imagine building mathematical models that make it possible to manage our world better, imagine combining music, art, poetry, literature, architecture and cinema with mathematics. Imagine the unpredictable and sometimes counterintuitive applications of mathematics in all areas of human endeavour. Imagination and mathematics, imagination and culture, culture and mathematics. This sixth volume in the series begins with a homage to the architect Zaha Hadid, who died on March 31st, 2016, a few weeks before the opening of a large exhibition of her works in Palazzo Franchetti in Venice, where all the Mathematics and Culture conferences have taken place in the last years. A large section of the book is dedicated to literature, narrative and mathematics including a contribution from Simon Singh. It discusses the role of media in mathematics, including museums of science, journals and movies. Mathematics and applications, including blood circulation and preventing crimes using earthquakes, is also addressed, while a section on mathematics and art examines the role of math in design. A large selection presents photos of mathematicians and mathematical objects by Vincent Moncorge. Discussing all topics in a way that is rigorous but captivating, detailed but full of evocations, it offers an all-embracing look at the world of mathematics and culture.
Download or read book Speaking in Images written by Michael Berry and published by Columbia University Press. This book was released on 2005 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interviews with Ang Lee (Crouching Tiger, Hidden Dragon) and other Chinese directors about their work & the ways it has impacted both on the film industry in China as well as on the world scene.
