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Computational Physics : Simulation of Classical and Quantum Systems / Philipp O.J. Scherer
New York : Springer, 2013
456 p. ; cm.
Ký hiệu phân loại (DDC): 530.15
This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics. Many clear mathematical descriptions of important techniques in computational physics are given. The first part of the book discusses the basic numerical methods. A large number of exercises and computer experiments allows to study the properties of these methods. The second part concentrates on simulation of classical and quantum systems. It uses a rather general concept for the equation of motion which can be applied to ordinary and partial differential equations. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multistep methods and the class of Verlet methods which is introduced by studying the motion in Liouville space. Besides the classical methods, inverse interpolation is discussed, together with the popular combined methods by Dekker and Brent and a not so well known improvement by Chandrupatla. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. A comparison of several methods for quantum systems is performed, containing pseudo-spectral methods, finite differences methods, rational approximation to the time evolution operator, second order differencing and split operator methods.....
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Essential astrophysics / Kenneth R Lang
New York : Springer, 2013
635 p.
Ký hiệu phân loại (DDC): 523.01
Essential Astrophysics is a book to learn or teach from, as well as a fundamental reference volume for anyone interested in astronomy and astrophysics. It presents astrophysics from basic principles without requiring any previous study of astronomy or astrophysics. It serves as a comprehensive introductory text, which takes the student through the field of astrophysics in lecture-sized chapters of basic physical principles applied to the cosmos. This one-semester overview will be enjoyed by undergraduate students with an interest in the physical sciences, such as astronomy, chemistry, engineeri.
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Group theory : application to the physics of condensed matter / M S Dresselhaus, G Dresselhaus, A Jorio
Berlin : pringer-Verlag, 2008
582 p.
Ký hiệu phân loại (DDC): 530.1522
"Every process in physics is governed by selection rules that are the consequence of symmetry requirements. The beauty and strength of group theory resides in the transformation of many complex symmetry operations into a very simple linear algebra, this concise and class-tested-book has been pedagogically tailored over 30 years at MIT and 2 years at the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory in close connection with applications helps students to learn; understand and use it for their own needs. For this reason, the theoretical background is confined to the first 4 introductory chapters (6-8 classroom hours)." "From there, each: chapter develops new theory while introducing applications so that the students can best retain new concepts, build on concepts learned the previous week, and see interrelations between topics as presented. Essential problem sets between the chapters also aid the retention of the new material and for the consolidation of material learned in previous chapters. The text and problem sets have proved a, useful springboard for the application of the basic material presented here to topics in semiconductor physics and the physics of carbon-based nanostructures."
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Halliday & Resnick principles of physics / Jearl Walker
Hoboken, NJ : Wiley, 2023
xxvi, 1370 pages. : colour illustrations ; 28 cm.
Ký hiệu phân loại (DDC): 530
Renowned for its interactive focus on conceptual understanding, Halliday and Resnick's Principles of Physics, 12th edition, is an industry-leading resource in physics teaching with expansive, insightful, and accessible treatments of a wide variety of subjects. Focusing on several contemporary areas of research and a wide array of tools that support students' active learning, this book guides students through the process of learning how to effectively read scientific material, identify fundamental concepts, reason through scientific questions, and solve quantitative problems. This International Adaptation of the twelfth edition is built to be a learning center with practice opportunities, simulations, and videos. Numerous practice and assessment questions are available to ensure that students understand the problem-solving processes behind key concepts and understand their mistakes while working through problems."
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