This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros, the extrema, and the integrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the format concrete and appealing, the programming environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, a specific section is devoted to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material. From the review: ".... This carefully written textbook, the third English edition, contains substantial new developments on the numerical solution of differential equations. It is typeset in a two-color design and is written in a style suited for readers who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject." Roberto Plato (Siegen), Zentralblatt MATH 1205.65002.

This monograph offers a cultural history of the development of physics in India during the first half of the twentieth century, focusing on Indian physicists Satyendranath Bose (1894-1974), Chandrasekhara Venkata Raman (1888-1970) and Meghnad Saha (1893-1956). The analytical category "bhadralok physics" is introduced to explore how it became possible for a highly successful brand of modern science to develop in a country that was still under colonial domination. The term Bhadralok refers to the then emerging group of native intelligentsia, who were identified by academic pursuits and manners. Exploring the forms of life of this social group allows a better understanding of the specific character of Indian modernity that, as exemplified by the work of bhadralok physicists, combined modern science with indigenous knowledge in an original program of scientific research. The three scientists achieved the most significant scientific successes in the new revolutionary field of quantum physics, with such internationally recognized accomplishments as the Saha ionization equation (1921), the famous Bose-Einstein statistics (1924), and the Raman Effect (1928), the latter discovery having led to the first ever Nobel Prize awarded to a scientist from Asia. This book analyzes the responses by Indian scientists to the radical concept of the light quantum, and their further development of this approach outside the purview of European authorities. The outlook of bhadralok physicists is characterized here as "cosmopolitan nationalism," which allows us to analyze how the group pursued modern science in conjunction with, and as an instrument of Indian national liberation.

Provides a broad introduction to nanophysics and nanotechnologies, and the importance of low-dimensional and surface physics is discussed indepth. Chapters in Volume 1 covers the large range of physical preparation techniques available for the production of nanomaterials and nanostructuring.

The Handbook of Ion Sources delivers the data needed for daily work with ion sources. It also gives information for the selection of a suitable ion source and ion production method for a specific application. The Handbook concentrates on practical aspects and introduces the principle function of ion sources. The basic plasma parameters are defined and discussed. The working principles of various ion sources are explained, and examples of each type of ion source are presented with their operational data. Tables of ion current for various elements and charge states summarize the performance of different ion sources. The problems related to the production of ions of non-gaseous elements are detailed, and data on useful materials for evaporation and ion source construction are summarized. Additional chapters are dedicated to extraction and beam formation, ion beam diagnosis, ion source electronics, and computer codes for extraction, acceleration, and beam transport. Emittance and brilliance are described and space charge effects and neutralization discussed. Various methods for the measurement of current, profile, emittance, and time structure are presented and compared. Intensity limits for these methods are provided for different ion energies. Typical problems related to the operation of ion source plasmas are discussed and practical examples of circuits are given. The influence of high voltage on ion source electronics and possibilities for circuit protection are covered. The generation of microwaves and various microwave equipment are described and special problems related to microwave operation are summarized. The Handbook of Ion Sources is a valuable reference on the subject, of benefit to practitioners and graduate students interested in accelerators, ion implantation, and ion beam techniques.

For courses in calculus-based physics. Guided practice helps students develop into expert problem solvers The new 15th Edition of University Physics with Modern Physics, now in SI Units, draws on insights from several users to help students see patterns and make connections between problem types. Students learn to recognise when to use similar steps in solving the same problem type and develop an understanding for problem solving approaches, rather than simply plugging values into an equation. This edition addresses students' tendency to focus on the objects and situations posed in a problem, rather than recognising the underlying principle or the problem type. New Key Concept statements identify the main idea used in examples to help students recognise the underlying concepts and strategy. New Key Example Variation Problems within new Guided Practice sections group problems by type so students recognise when problems can be solved in similar ways, regardless of wording or numbers.

A NEW YORK TIMES BESTSELLER "An informed and entertaining guide to what science can and cannot tell us." -The Wall Street Journal "Stimulating . . . encourage[s] readers to push past well-trod assumptions [...] and have fun doing so." -Science Magazine From renowned physicist and creator of the YouTube series "Science without the Gobbledygook," a book that takes a no-nonsense approach to life's biggest questions, and wrestles with what physics really says about the human condition Not only can we not currently explain the origin of the universe, it is questionable we will ever be able to explain it. The notion that there are universes within particles, or that particles are conscious, is ascientific, as is the hypothesis that our universe is a computer simulation. On the other hand, the idea that the universe itself is conscious is difficult to rule out entirely. According to Sabine Hossenfelder, it is not a coincidence that quantum entanglement and vacuum energy have become the go-to explanations of alternative healers, or that people believe their deceased grandmother is still alive because of quantum mechanics. Science and religion have the same roots, and they still tackle some of the same questions: Where do we come from? Where do we go to? How much can we know? The area of science that is closest to answering these questions is physics. Over the last century, physicists have learned a lot about which spiritual ideas are still compatible with the laws of nature. Not always, though, have they stayed on the scientific side of the debate. In this lively, thought-provoking book, Hossenfelder takes on the biggest questions in physics: Does the past still exist? Do particles think? Was the universe made for us? Has physics ruled out free will? Will we ever have a theory of everything? She lays out how far physicists are on the way to answering these questions, where the current limits are, and what questions might well remain unanswerable forever. Her book offers a no-nonsense yet entertaining take on some of the toughest riddles in existence, and will give the reader a solid grasp on what we know-and what we don't know.

Focus on the fundamentals and help students see connections between problem types Richard Wolfson's Essential University Physics is a concise and progressive calculus-based physics textbook that offers clear writing, great problems, and relevant real-life applications in an affordable and streamlined text. The book teaches sound problem-solving strategies and emphasises conceptual understanding, using features such as annotated figures and step-by-step problem-solving strategies. Realising students have changed a great deal over time while the fundamentals of physics have changed very little, Wolfson makes physics relevant and alive for students by sharing the latest physics applications in a succinct and captivating style. The 4th Edition, Global Edition, incorporates research from instructors, reviewers, and thousands of students to expand the book's problem sets and consistent problem-solving strategy. A new problem type guides students to see patterns, make connections between problems that can be solved using similar steps, and apply those steps when working problems on homework and exams. Volume 1 contains Chapters 1-19 Available for separate purchase is Volume 2 containing Chapters 20-39

The student's companion website and the instructor manual can be accessed here. This textbook provides the knowledge and skills needed for thorough understanding of the most important methods and ways of thinking in experimental physics. The reader learns to design, assemble, and debug apparatus, to use it to take meaningful data, and to think carefully about the story told by the data. Key Features: Efficiently helps students grow into independent experimentalists through a combination of structured yet thought-provoking and challenging exercises, student-designed experiments, and guided but open-ended exploration. Provides solid coverage of fundamental background information, explained clearly for undergraduates, such as ground loops, optical alignment techniques, scientific communication, and data acquisition using LabVIEW, Python, or Arduino. Features carefully designed lab experiences to teach fundamentals, including analog electronics and low noise measurements, digital electronics, microcontrollers, FPGAs, computer interfacing, optics, vacuum techniques, and particle detection methods. Offers a broad range of advanced experiments for each major area of physics, from condensed matter to particle physics. Also provides clear guidance for student development of projects not included here. Provides a detailed Instructor's Manual for every lab, so that the instructor can confidently teach labs outside their own research area. The manual can be accessed here.

Professor Brian Cox is among the best-known physicists in the world. As presenter of hit television series Human Universe, Wonders of the Solar System and Wonders of the Universe, his affable charm and infectious enthusiasm have brought science to a whole new audience. Born in Lancashire in 1968, Cox was a bright but not brilliant pupil at school. He flourished at university, however, gaining a first-class honours degree and an MPhil in Physics from Manchester University before being awarded his PhD in particle physics in 1998. Alongside his studies, he played keyboards in the band D:Ream, who topped the charts in 1994 with 'Things Can Only Get Better', which was famously used by the Labour Party for its 1997 election campaign. Although an award-winning celebrity TV presenter, Brian Cox remains devoted to scientific research. He is a Royal Society University Research Fellow, an advanced fellow at the University of Manchester, and also works on the ATLAS experiment at the Large Hadron Collider at CERN in Switzerland. In 2010 he was awarded the OBE for his services to science. Featuring exclusive interviews and in-depth research, this book delves into the fascinating universe of the man who single-handedly made physics cool.

Environmental protection and sustainability are major concerns in today's world, and a reduction in CO2 emission and the implementation of clean energy are inevitable challenges for scientists and engineers today. The development of electrochemical devices, such as fuel cells, Li-ion batteries, and artificial photosynthesis, is vital for solving environmental problems. A practical device requires designing of materials and operational systems; however, a multidisciplinary subject covering microscopic physics and chemistry as well as macroscopic device properties is absent. In this situation, multiscale simulations play an important role. This book compiles and details cutting-edge research and development of atomistic, nanoscale, microscale, and macroscale computational modeling for various electrochemical devices, including hydrogen storage, Li-ion batteries, fuel cells, and artificial photocatalysis. The authors have been involved in the development of energy materials and devices for many years. In each chapter, after reviewing the calculation methods commonly used in the field, the authors focus on a specific computational approach that is applied to a realistic problem crucial for device improvement. They introduce the simulation technique not only as an analysis tool to explain experimental results but also as a design tool in the scale of interest. At the end of each chapter, a future perspective is added as a guide for the extension of research. Therefore, this book is suitable as a textbook or a reference on multiscale simulations and will appeal to anyone interested in learning practical simulations and applying them to problems in the development of frontier and futuristic electrochemical devices.

Designed for hassle-free classroom and independent study, our Revision Guides are designed to complement the Student Books with a range of specially designed features such as the one-topic-per-page format, practice questions, knowledge checks and skills checks. ActiveBook included with every Student Book : An ActiveBook gives your students easy online access to the content in the Student Book. They can make it their own with notes, highlights and links to their wider reading. Perfect for supporting their course work and revision activities.

One of the main, ongoing challenges for any engineering enterprise is that systems are built of materials subject to environmental degradation. Whether working with an airframe, integrated circuit, bridge, prosthetic device, or implantable drug-delivery system, understanding the chemical stability of materials remains a key element in determining their useful life. Environmental Degradation of Advanced and Traditional Engineering Materials is a monumental work for the field, providing comprehensive coverage of the environmental impacts on the full breadth of materials used for engineering infrastructure, buildings, machines, and components. The book discusses fundamental degradation processes and presents examples of degradation under various environmental conditions. Each chapter presents the basic properties of the class of material, followed by detailed characteristics of degradation, guidelines on how to protect against corrosion, and a description of testing procedures. A complete, self-contained industrial reference guide, this valuable resource is designed for students and professionals interested in the development of deterioration-resistant technological systems constructed with metallurgical, polymeric, ceramic, and natural materials.

Rare-earth intermetallics, also known as lanthanide elements, play an important role in the study of magnetic materials and the development of semi- and super-conducting materials. This handbook provides an up-to-date compilation of crystallographic, physical, and magnetic data on rare-earth intermetallic compounds. Over 20 different structure types are described in detail with an emphasis on how crystal structure can affect magnetic properties. Theoretical models for magnetic interactions are described as well as the impact of crystal electric fields on transport properties, magneto crystalline anistropy and hyperfine interactions. This book provides materials scientists, engineers and physicists with all the critical information needed to use rare-earth intermetallics effectively in the development of new materials.

Power System Relaying An updated edition of the gold standard in power system relaying texts In the newly revised fifth edition of Power System Relaying, a distinguished team of engineers delivers a thorough update to an essential text used by countless univer sities and industry courses around the world. The book explores the fundamentals of relaying and power system phenomena, including stability, protection, and reliability. The latest edition provides readers with substantial updates to transformer protection, rotating machinery protection, nonpilot distance protection of transmission and distribution lines, power system phenomena, and bus, reactor, and capacitor protection. It also includes an expanded introduction to the elements of protection systems. Problems and solutions round out the new material and offer an indispensable self-contained study environment. Readers will also find: A thorough introduction to protective relaying, including discussions of effective grounding and power system bus configurations In-depth explorations of relay operating principles and current and voltage transformers Fulsome discussions of nonpilot overcurrent and distance protection of transmission and distribution lines, as well as pilot protection of transmission lines Comprehensive treatments of rotating machinery protection and bus, reactor, and capacitor protection Perfect for undergraduate and graduate students studying power system engineering, Power System Relaying is an ideal resource for practicing engineers involved with power systems and academic researchers studying power system protection.

Image Analysis of Food Microstructure offers a condensed guide to the most common procedures and techniques by which quantitative microstructural information about food can be obtained from images. The images are selected from a broad range of food items, including macroscopic images of meat and finished products such as pizza, and the microstructures of cheeses, dough and baked goods, ice cream, fruits and vegetables, emulsions, foams, and gels. The book informs food scientists about the image processing and measurement tools used to characterize a variety of microstructures in foods, using high-quality image techniques to illustrate chemical composition, thermo-mechanical processing, and genetic and structural properties. These different types of images used to measure various aspects of structure include: macroscopic light photography, confocal light microscopy, electron microscopy, atomic force microscope images, magnetic resonance, and computed tomography. Then the text explains how to interpret images to produce data, plot the results in different graphs, and identify trends. Examples using these image analysis techniques show typical results that researchers can expect and recreate. Image Analysis of Food Microstructure summarizes the basic procedures that can be useful in various aspects of food research, from nutraceuticals to cooking and food processing. It presents the processing of images and mathematical principles needed for image analyses in a step-by-step approach to extract key information from the images obtained.

Beyond the world of atoms, at scales smaller than the smallest nuclei, a new world comes into view, populated by an array of colorful elementary particles: strange and charmed quarks, muons and neutrinos, gluons and photons, and many others, all interacting in beautifully intricate patterns. Beyond the Nanoworld tells the story of how this new realm was discovered. From the first discoveries of subatomic structure to the present-day hunt for the Higgs particle, the reader is invited to follow the twin branches of experimental and theoretical research as they wind through the twentieth century, culminating in the most successful physical theory of all time: the standard model of particle physics.

Separation of Variables for Partial Differential Equations: An Eigenfunction Approach includes many realistic applications beyond the usual model problems. The book concentrates on the method of separation of variables for partial differential equations, which remains an integral part of the training in applied mathematics. Beyond the usual model problems, the presentation includes a number of realistic applications that illustrate the power and usefulness of the ideas behind these techniques. This complete, self-contained book includes numerous exercises and error estimates, as well as a rigorous approximation and computational tool.

This new book contains the most up-to-date and focused description of the applications of Clifford algebras in analysis, particularly classical harmonic analysis. It is the first single volume devoted to applications of Clifford analysis to other aspects of analysis. All chapters are written by world authorities in the area. Of particular interest is the contribution of Professor Alan McIntosh. He gives a detailed account of the links between Clifford algebras, monogenic and harmonic functions and the correspondence between monogenic functions and holomorphic functions of several complex variables under Fourier transforms. He describes the correspondence between algebras of singular integrals on Lipschitz surfaces and functional calculi of Dirac operators on these surfaces. He also discusses links with boundary value problems over Lipschitz domains. Other specific topics include Hardy spaces and compensated compactness in Euclidean space; applications to acoustic scattering and Galerkin estimates; scattering theory for orthogonal wavelets; applications of the conformal group and Vahalen matrices; Newmann type problems for the Dirac operator; plus much, much more! Clifford Algebras in Analysis and Related Topics also contains the most comprehensive section on open problems available. The book presents the most detailed link between Clifford analysis and classical harmonic analysis. It is a refreshing break from the many expensive and lengthy volumes currently found on the subject.

Over the last few decades, research in elastic-plastic torsion theory, electrostatic screening, and rubber-like nonlinear elastomers has pointed the way to some interesting new classes of minimum problems for energy functionals of the calculus of variations. This advanced-level monograph addresses these issues by developing the framework of a general theory of integral representation, relaxation, and homogenization for unbounded functionals. The first part of the book builds the foundation for the general theory with concepts and tools from convex analysis, measure theory, and the theory of variational convergences. The authors then introduce some function spaces and explore some lower semicontinuity and minimization problems for energy functionals. Next, they survey some specific aspects the theory of standard functionals. The second half of the book carefully develops a theory of unbounded, translation invariant functionals that leads to results deeper than those already known, including unique extension properties, representation as integrals of the calculus of variations, relaxation theory, and homogenization processes. In this study, some new phenomena are pointed out. The authors' approach is unified and elegant, the text well written, and the results intriguing and useful, not just in various fields of mathematics, but also in a range of applied mathematics, physics, and material science disciplines.

This book provides a comprehensive selection of Michael Faraday's writings, taken from all aspects of his life, intimate and public. It is designed to show the relationships between his many activities, especially with the Royal Institution, for whose bicentenary this collection is published.

Uses the FPT to Solve the Quantification Problem in MRS An invaluable tool in non-invasive clinical oncology diagnostics Addressing the critical need in clinical oncology for robust and stable signal processing in magnetic resonance spectroscopy (MRS), Signal Processing in Magnetic Resonance Spectroscopy with Biomedical Applications explores cutting-edge theory-based innovations for obtaining reliable quantitative information from MR signals for cancer diagnostics. By defining the natural framework of signal processing using the well-established theory of quantum physics, the book illustrates how advances in signal processing can optimize MRS. The authors employ the fast Pade transform (FPT) as the unique polynomial quotient for the spectral analysis of MR time signals. They prove that residual spectra are necessary but not sufficient criteria to estimate the error invoked in quantification. Instead, they provide a more comprehensive strategy that monitors constancy of spectral parameters as one of the most reliable signatures of stability and robustness of quantification. The authors also use Froissart doublets to unequivocally distinguish between genuine and spurious resonances in both noise-free and noise-corrupted time signals, enabling the exact reconstruction of all the genuine spectral parameters. They show how the FPT resolves and quantifies tightly overlapped resonances that are abundantly seen in MR spectra generated using data from encoded time signals from the brain, breast, ovary, and prostate. Written by a mathematical physicist and a clinical scientist, this book captures the multidisciplinary nature of biomedicine. It examines the remarkable ability of the FPT to unambiguously quantify isolated, tightly overlapped, and nearly confluent resonances.

As a relatively new area in mathematics, stochastic partial differential equations (PDEs) are still at a tender age and have not yet received much attention in the mathematical community. Filling the void of an introductory text in the field, Stochastic Partial Differential Equations introduces PDEs to students familiar with basic probability theory and Ito's equations, highlighting several computational and analytical techniques. Without assuming specific knowledge of PDEs, the text includes many challenging problems in stochastic analysis and treats stochastic PDEs in a practical way. The author first brings the subject back to its root in classical concrete problems. He then discusses a unified theory of stochastic evolution equations and describes a few applied problems, including the random vibration of a nonlinear elastic beam and invariant measures for stochastic Navier-Stokes equations. The book concludes by pointing out the connection of stochastic PDEs to infinite-dimensional stochastic analysis. By thoroughly covering the concepts and applications of stochastic PDEs at an introductory level, this text provides a guide to current research topics and lays the groundwork for further study.

Did you know your irises are lying to you and all human eyes are actually brown? Want to know the absolute worst way to die, according to science? Did you know that a smoking psychedelic toad milk could alleviate depression for up to four weeks? 117 Things You Should F*#king Know About Your World tells you the answers to these questions and many more weird and wonderful facts about the universe. Split into the site's different subject areas of environment, technology, space, health and medicine, plants and animals, physics and chemistry, this is the ultimate science book. With 25 million social media followers, I F*#king Love Science is the world's favourite source of science on the web. From missing nuclear weapons and Facebook secret files to the world's smallest computer and why you should wrap your car keys in tinfoil, this is the book that only the world's leading source of crazy-but-true stories could produce.

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

Radioembolization is a widely used treatment for non-resectable primary and secondary liver cancer. This handbook addresses the radiation biology, physics, nuclear medicine, and imaging for radioembolization using Yttrium-90 (90Y) microspheres, in addition to discussing aspects related to interventional radiology. The contents reflect on and off-label treatment indications, dose-response relationships, treatment-planning, therapy optimization, radiation safety, imaging follow-up and many other facets of this therapy necessary for both novice and advanced users alike.