Statistical Mechanics in a Nutshell, Luca Peliti

Автор: Koks, Don
Название: Microstates, entropy and quanta
ISBN: 3030024288 ISBN-13(EAN): 9783030024284
Издательство: Springer
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Цена: 79190.00 T
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Statistical mechanics: the bane of many a physics student, and traditionally viewed as a long parade of ensembles, partition functions, and partial derivatives. But the subject needn't be arcane. When pared back to its underlying concepts and built from the ground up, statistical mechanics takes on a charm of its own, and sheds light on all manner of physical phenomena.

This book presents a straightforward introduction to the key concepts in statistical mechanics, following the popular style of the author's highly successful textbook "Explorations in Mathematical Physics". Offering a clear, conceptual approach to the subject matter, the book presents a treatment that is mathematically complete, while remaining very accessible to undergraduates.

It commences by asking: why does an ink drop spread out in a bathtub of water? This showcases the importance of counting configurations, which leads naturally to ideas of microstates, energy, entropy, thermodynamics, and physical chemistry. With this foundation, the Boltzmann distribution writes itself in its fullest form, and this opens the door to the Maxwell distribution and related areas of thermal conductivity and viscosity. Quantum ideas then appear: bosons via Einstein's and Debye's theories of heat capacity, and fermions via electrical conduction and low-temperature heat capacity of metals. The text ends with a detailed derivation of blackbody radiation, and uses this to discuss the greenhouse effect, lasers, and cosmology.

Suitable for use with core undergraduate courses in statistical mechanics and thermodynamics, this book concentrates on using solid mathematics, while avoiding cumbersome notation. All the necessary mathematical steps are included in the body of the text and in the worked examples.

Reviews of Explorations in Mathematical Physics by Don Koks, 2006

"With enjoyable and sometimes surprising excursions along the way, the journey provides a fresh look at many familiar topics, as it takes us from basic linear mathematics to general relativity... look forward to having your geometric intuition nourished and expanded by the author's intelligent commentaries." (Eugen Merzbacher, University of North Carolina)

"... an interesting supplement to standard texts for teaching mathematical methods in physics, as it will add alternative views that could serve as additional material." (S. Marcelja, Australian Journal of Physics) "... a tour through the main ideas forming the language of modern mathematical physics ...it is a difficult task for the author to decide what is a good balance between the topics and their presentation, but in this case it has been achieved. ...for those physicists who would like to be exposed to clear motivation and careful explanation of the basics of the present-day apparatus of mathematical physics." (Ivailo Mladenov, Mathematical Reviews).

Автор: Mills Melinda C., Barban Nicola, Tropf Felix C.
Название: An Introduction to Statistical Genetic Data Analysis
ISBN: 0262538385 ISBN-13(EAN): 9780262538381
Издательство: MIT Press
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Цена: 45150.00 T
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Описание: A comprehensive introduction to modern applied statistical genetic data analysis, accessible to those without a background in molecular biology or genetics.

Human genetic research is now relevant beyond biology, epidemiology, and the medical sciences, with applications in such fields as psychology, psychiatry, statistics, demography, sociology, and economics. With advances in computing power, the availability of data, and new techniques, it is now possible to integrate large-scale molecular genetic information into research across a broad range of topics. This book offers the first comprehensive introduction to modern applied statistical genetic data analysis that covers theory, data preparation, and analysis of molecular genetic data, with hands-on computer exercises. It is accessible to students and researchers in any empirically oriented medical, biological, or social science discipline; a background in molecular biology or genetics is not required.

The book first provides foundations for statistical genetic data analysis, including a survey of fundamental concepts, primers on statistics and human evolution, and an introduction to polygenic scores. It then covers the practicalities of working with genetic data, discussing such topics as analytical challenges and data management. Finally, the book presents applications and advanced topics, including polygenic score and gene-environment interaction applications, Mendelian Randomization and instrumental variables, and ethical issues. The software and data used in the book are freely available and can be found on the book's website.

Автор: Carolina C. Ilie, Zachariah S. Schrecengost
Название: Electrodynamics: Problems and Solutions
ISBN: 1681749289 ISBN-13(EAN): 9781681749280
Издательство: Mare Nostrum (Eurospan)
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Цена: 61910.00 T
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Описание: This book of problems and solutions is a natural continuation of Ilie and Schrecengost's first book Electromagnetism: Problems and Solutions. As with the first book, this book is written for junior or senior undergraduate students, and for graduate students who may have not studied electrodynamics yet and who may want to work on more problems and have an immediate feedback while studying. This book of problems and solutions is a companion for the student who would like to work independently on more electrodynamics problems in order to deepen their understanding and problem solving skills and perhaps prepare for graduate school. This book discusses main concepts and techniques related to Maxwell's equations, conservation laws, electromagnetic waves, potentials and fields, and radiation.

Автор: Walschaers
Название: Statistical Benchmarks for Quantum Transport in Complex Systems
ISBN: 3319931504 ISBN-13(EAN): 9783319931500
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book introduces a variety of statistical tools for characterising and designing the dynamical features of complex quantum systems. In dynamical quantum systems, complexity typically manifests itself via the interference of a rapidly growing number of paths that connect the initial and final states.

Автор: Pardos-gotor, Jose M.
Название: Screw theory in robotics
ISBN: 1032107367 ISBN-13(EAN): 9781032107363
Издательство: Taylor&Francis
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Цена: 117390.00 T
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Описание: Screw theory is an effective and efficient method used in robotics applications. This book demonstrates how to implement screw theory, explaining the key fundamentals and real-world applications using a practical and visual approach. An essential tool for those involved in the development of robotics implementations, the book uses case studies to analyze mechatronics. Screw theory offers a significant opportunity to interpret mechanics at a high level, facilitating contemporary geometric techniques in solving common robotics issues. Using these solutions results in an optimized performance in comparison to algebraic and numerical options. Demonstrating techniques such as six-dimensional (6D) vector notation and the Product of Exponentials (POE), the use of screw theory notation reduces the need for complex algebra, which results in simpler code, which is easier to write, comprehend, and debug. The book provides exercises and simulations to demonstrate this with new formulas and algorithms presented to aid the reader in accelerating their learning. By walking the user through the fundamentals of screw theory, and by providing a complete set of examples for the most common robot manipulator architecture, the book delivers an excellent foundation through which to comprehend screw theory developments. The visual approach of the book means it can be used as a self-learning tool for professionals alongside students. It will be of interest to those studying robotics, mechanics, mechanical engineering, and electrical engineering.

Автор: E. J. Hinch
Название: Think Before You Compute: A Prelude to Computational Fluid Dynamics
ISBN: 1108479545 ISBN-13(EAN): 9781108479547
Издательство: Cambridge Academ
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Цена: 122460.00 T
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Описание: This guide to computational fluid mechanics is for any beginning graduate student who is thinking of computing a flow. The text starts with a quick introduction to enable students to solve numerically a simple problem by a simple method, before detailing all the key essentials and discussing optional advanced topics.

Автор: Saxena, A.
Название: Advanced Fracture Mechanics and Structural Integrity
ISBN: 1138544264 ISBN-13(EAN): 9781138544260
Издательство: Taylor&Francis
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Цена: 148010.00 T
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Описание: Advanced Fracture Mechanics and Structural Integrity is organized to cover quantitative descriptions of crack growth and fracture phenomena. The mechanics of fracture are explained, emphasizing elastic-plastic and time-dependent fracture. Applications are presented, using examples from power-generation, aerospace, marine, and chemical industries.

Автор: Love
Название: Theoretical Mechanics
ISBN: 110759345X ISBN-13(EAN): 9781107593459
Издательство: Cambridge Academ
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Цена: 39070.00 T
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Описание: Originally published in 1921, this book was intended as a textbook of dynamics for the use of students who have some acquaintance with the methods of the differential and integral calculus. The chapters cover a vast range of topics and include the existing well-known key theorems of the day.

Автор: Joaquim A. Batlle, Ana Barjau Condomines
Название: Rigid Body Kinematics
ISBN: 1108479073 ISBN-13(EAN): 9781108479073
Издательство: Cambridge Academ
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Цена: 86590.00 T
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Описание: A rigorous analysis and description of general motion in mechanical systems, which includes over 400 figures illustrating every concept, and a large collection of useful exercises. Ideal for students studying mechanical engineering, and as a reference for graduate students and researchers.

Автор: Ebrahimi, Farzad Dabbagh, Ali
Название: Mechanics of Nanocomposites
ISBN: 1032235756 ISBN-13(EAN): 9781032235752
Издательство: Taylor&Francis
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Цена: 78590.00 T
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Описание: The book investigates static and dynamic behavior of nanocomposites using various reinforcements. It discusses matrices strengthened via various nanofillers like carbon nanotubes, graphene platelets and oxide powders. Equivalent properties of nanocomposites are obtained via homogenization techniques based on micromechanics approaches.

Автор: Haym Benaroya, Mark L. Nagurka, Seon Mi Han
Название: Mechanical Vibration: Theory and Application
ISBN: 1978831064 ISBN-13(EAN): 9781978831063
Издательство: Mare Nostrum (Eurospan)
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Цена: 125400.00 T
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Описание: The Fifth edition of this classic textbook includes a solutions manual.  Extensive supplemental instructor resources are forthcoming in the Fall of 2022.Mechanical Vibration: Theory and Application presents comprehensive coverage of the fundamental principles of mechanical vibration, including the theory of vibration, as well as discussions and examples of the applications of these principles to practical engineering problems. The book also addresses the effects of uncertainties in vibration analysis and design and develops passive and active methods for the control of vibration. Many example problems with solutions are provided. These examples as well as compelling case studies and stories of real-world applications of mechanical vibration have been carefully chosen and presented to help the reader gain a thorough understanding of the subject. There is a solutions manual for instructors who adopt this book. Request a solutions manual here (https://www.rutgersuniversitypress.org/mechanical-vibration).

Автор: Oleg N. Kirillov
Название: Nonconservative Stability Problems of Modern Physics
ISBN: 311065377X ISBN-13(EAN): 9783110653779
Издательство: Walter de Gruyter
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Цена: 204490.00 T
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This updated revision gives a complete and topical overview on Nonconservative Stability which is essential for many areas of science and technology ranging from particles trapping in optical tweezers and dynamics of subcellular structures to dissipative and radiative instabilities in fluid mechanics, astrophysics and celestial mechanics. The author presents relevant mathematical concepts as well as rigorous stability results and numerous classical and contemporary examples from non-conservative mechanics and non-Hermitian physics.