Language : English
Published : 2018-01-25
Pages : 395
Fractional Diffusion Equations and Anomalous Diffusion
Anomalous diffusion has been detected in a wide variety of scenarios, from fractal media, systems with memory, transport processes in porous media, to fluctuations of financial markets, tumour growth, and complex fluids. Providing a contemporary treatment of this process, this book examines the recent literature on anomalous diffusion and covers a rich class of problems in which surface effects are important, offering detailed mathematical tools of usual and fractional calculus for a wide audience of scientists and graduate students in physics, mathematics, chemistry and engineering. Including the basic mathematical tools needed to understand the rules for operating with the fractional derivatives and fractional differential equations, this self-contained text presents the possibility of using fractional diffusion equations with anomalous diffusion phenomena to propose powerful mathematical models for a large variety of fundamental and practical problems in a fast-growing field of research.
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Cutnell and Johnson has been the #1 text in the algebra-based physics market for almost 20 years. PHYSICS 9e continues that tradition by providing superior support students need to facilitate a deeper level of conceptual understanding, improve their reasoning skills and see the relevance of physics to their lives and future careers. Research studies have shown that there is a strong correlation between time on task and student learning gains. PHYSICS 9e with WileyPLUS offers instructors innovative new tools for engaging students. Through the use of a proven pedagogy that includes integrated reading activities, instructors are able to much more effectively monitor student reading and progress, resulting in a higher level of student engagement with the course content. Success in physics is also based on practice. Working high quality problem sets is one of the best ways for students to learn physics. However, to get the greatest benefit from working problems students need immediate feedback and expert coaching. PHYSICS 9e with WileyPLUS offers an extensive and tested set of assessment questions and sophisticated wrong answer feedback. Access to WileyPLUS not included with this textbook. This text features: • Tools that help students develop a conceptual understanding of physics: Conceptual Examples, Concepts & Calculations, Focus on Concepts homework material, Check Your Understanding questions, Concept Simulations (an online feature), Concepts at a Glance (available on the instructor companion site). • Features that help students improve their ability to reason in an organized and mathematically correct manner: Explicit reasoning steps in all examples, Reasoning Strategies for solving certain classes of problems, Analyzing Multiple-Concept Problems, homework problems with associated Guided Online (GO) Tutorials, Interactive LearningWare (an online feature), Interactive Solutions (an online features) • Examples that show students the relevance of physics to their lives: a wide range of applications from everyday physics to modern technology to biomedical applications. There is extensive support for premed and biomedical students including biomedical applications in the text and end of chapter problems marked with a caduceus, practice MCAT exams, and a supplemental book of biomedical applications.
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The second edition of this popular textbook maintains the structure and lively style of the first edition but extends its coverage of thermodynamics and statistical mechanics to include several new topics, including osmosis, diffusion problems, Bayes theorem, radiative transfer, the Ising model and Monte Carlo methods. New examples and exercises have been added throughout.
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Spacetime and Geometry: An Introduction to General Relativity provides a lucid and thoroughly modern introduction to general relativity for advanced undergraduates and graduate students. It introduces modern techniques and an accessible and lively writing style to what can often be a formal and intimidating subject. Readers are led from physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein’s equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology. Subtle points are illuminated throughout the text by careful and entertaining exposition. A straightforward and lucid approach, balancing mathematical rigor and physical insight, are hallmarks of this important text.
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About the Author
Philip T. Krein is Associate Professor in the Electrical and Computer Engineering Department and the Mechanical and Industrial Engineering Department at the University of Illinois, Urbana, where he has introduced lecture and laboratory courses in power electronics and electric drives. His research involves large-signal analysis, design, and control of switching converters. He has published extensively, describing research and educational efforts in power electronics, electrostatics, electric machines, and electric and hybrid vehicle systems. He holds several U.S. and international patents.