Theoretical Physics: Second Edition by A. S. Kompaneyets

This authoritative volume by a renowned Russian scientist offers advanced students a thorough background in theoretical physics. The treatment's review of basic methods takes an approach that's as rigorous and systematic as it is practical.
Chiefly devoted to mechanics, electrodynamics, quantum mechanics, and statistical mechanics, this book stresses atomic, nuclear, and microscopic matters. Subjects include the quantum theories of radiation, dispersal, and scattering and the application of statistical mechanics to electromagnetic fields and crystalline bodies. Particularly strong in its coverage of statistical physics, the text examines Boltzmann statistics, Bose and Fermi distributions, Gibbs statistics, thermodynamic quantities, thermodynamic properties of ideal gases in Boltzmann statistics, fluctuations, phase equilibrium, weak solutions, chemical equilibria, and surface phenomena. Many of the 137 exercises feature complete solutions. Translated by George Yankovsky under the author's supervision.

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Thinking in Physics: The Pleasure of Reasoning and Understanding 2014 by Laurence Viennot

Read this book if you care about students really understanding physics and getting genuine intellectual satisfaction from doing so. Read it too if you fear that this goal is out of reach – you may be surprised! Laurence Viennot here shows ways to deal with the awkward fact that common sense thinking is often not the same as scientific thinking. She analyses examples of frequent and widespread errors and confusions, which provide a real eye-opener for the teacher. More than that, she shows ways to avoid and overcome them. The book argues against over-emphasis on “fun” applications, demonstrating that students also enjoy and value clear thinking.
 The book has three parts: 
 • making sense of special scientific ways of reasoning (words, images, functions)
 • making connections between very different topics, each illuminating the other
 • simplifying, looking for consistency and avoiding incoherent over-simplification
 The book is enhanced with supplementary online materials that will allow readers to further expand their teaching or research interests and think about them more deeply.

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Advanced Modern Physics: Theoretical Foundations by John Dirk Walecka

Our understanding of the physical world was revolutionized in the twentieth century - the era of “modern physics”. This book, aimed at the very best students, extends the coverage of the theoretical groundwork of today's physics presented in the previous volume: Introduction to Modern Physics: Theoretical Foundations (Vol. I). Typically, students have to wade through several courses to see many of these topics. The goal is to give them some idea of where they are going, and how things fit together, as they go along. The present book focuses on the following topics: reformulation of quantum mechanics, angular momentum, scattering theory, lagrangian field theory, symmetries, Feynman rules, quantum electrodynamics, including higher-order contributions, path integrals, and canonical transformations for quantum systems. Many problems are included that enhance and extend the coverage. The book assumes a mastery of the material in Vol. I, and the continued development of mathematical skills, including multivariable calculus and linear algebra. Several appendices provide important details, and any additional required mathematics. The reader should then find the text, together with the appendices and problems, to be self-contained. The aim is to cover the framework of modern theoretical physics in sufficient depth that things “make sense” to students, and, when finished, the reader should have an elementary working knowledge in the principal areas of theoretical physics of the twentieth century.

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The Theoretical Minimum: What You Need to Know to Start Doing Physics 2013 Leonard Susskind, George Hrabovsky

The Theoretical Minimum is a book for anyone who has ever regretted not taking physics in college—or who simply wants to know how to think like a physicist. In this unconventional introduction, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Unlike most popular physics books—which give readers a taste of what physicists know but shy away from equations or math—Susskind and Hrabovsky actually teach the skills you need to do physics, beginning with classical mechanics, yourself. Based on Susskind’s enormously popular Stanford University-based (and YouTube-featured) continuing-education course, the authors cover the minimum—the theoretical minimum of the title—that readers need to master to study more advanced topics.
An alternative to the conventional go-to-college method, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.

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Quantum Mechanics: The Theoretical Minimum 2014 by Leonard Susskind, Art Friedman

From the bestselling author of The Theoretical Minimum, an accessible introduction to the math and science of quantum mechanics
 Quantum Mechanics is a (second) book for anyone who wants to learn how to think like a physicist. In this follow-up to the bestselling The Theoretical Minimum, physicist Leonard Susskind and data engineer Art Friedman offer a first course in the theory and associated mathematics of the strange world of quantum mechanics. Quantum Mechanics presents Susskind and Friedman’s crystal-clear explanations of the principles of quantum states, uncertainty and time dependence, entanglement, and particle and wave states, among other topics. An accessible but rigorous introduction to a famously difficult topic, Quantum Mechanics provides a tool kit for amateur scientists to learn physics at their own pace.

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Relativity and the Nature of Spacetime by Vesselin Petkov

The most important question addressed in this book is 'what is the nature (the ontological status) of spacetime?' or, equivalently, 'what is the dimensionality of the world at the macroscopic level?' The answer to this question is developed via a thorough analysis of relativistic effects and explicitly asking whether the objects involved in those effects are three-dimensional or four-dimensional. This analysis clearly shows that if the world and the physical objects were three-dimensional, none of the kinematic relativistic effects and the experimental evidence supporting them would be possible. The implications of this result for physics, philosophy, and our entire world view are discussed.

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Mathematics in the Real World by W.D. Wallis

Mathematics in the Real World  is a self-contained, accessible introduction to the world of mathematics for non-technical majors. With a focus on everyday applications and context, the topics in this textbook build in difficulty and are presented sequentially, starting with a brief review of sets and numbers followed by an introduction to elementary statistics, models, and graph theory. Data and identification numbers are then covered, providing the pathway to voting and finance. Each subject is covered in a concise and clear fashion through the use of real-world applications and the introduction of relevant terminology. Many sample problems – both writing exercises and multiple-choice questions – are included to help develop students’ level of understanding and to offer a variety of options to instructors.

Covering six major units and outlining a one-semester course, Mathematics in the Real World  is aimed at undergraduate liberal art students fulfilling the mathematics requirement in their degree program. This introductory text will be an excellent resource for such courses, and will show students where mathematics arises in their everyday lives.

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Relativity, Gravitation and Cosmology by Robert J. A. Lambourne

Aimed at advanced undergraduates, this self-contained textbook covers the key ideas of special and general relativity together with their applications. The textbook introduces students to basic geometric concepts, such as metrics, connections and curvature, before examining general relativity in more detail. It shows the observational evidence supporting the theory, and the description general relativity provides of black holes and cosmological space-times. The textbook is in full colour, with numerous worked examples and exercises with solutions. Key points and equations are highlighted for easy identification, and each chapter ends with a summary list of important concepts and results. This textbook provides the essential background for an up-to-date discussion of modern observational cosmology. Each chapter builds on the previous one as concepts are developed, making it ideal for self-study

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Mathematica for Theoretical Physics: Electrodynamics, Quantum Mechanics, General Relativity, and Fractals 2nd (second) Edition by Baumann

Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica to derive numeric and symbolic solutions.

Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the users purposes.

New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.

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How to Study as a Mathematics Major 2013 by Lara Alcock

Every year, thousands of students declare mathematics as their major. Many are extremely intelligent and hardworking. However, even the best will encounter challenges, because upper-level mathematics involves not only independent study and learning from lectures, but also a fundamental shift from calculation to proof. 
This shift is demanding but it need not be mysterious -- research has revealed many insights into the mathematical thinking required, and this book translates these into practical advice for a student audience. It covers every aspect of studying as a mathematics major, from tackling abstract intellectual challenges to interacting with professors and making good use of study time. Part 1 discusses the nature of upper-level mathematics, and explains how students can adapt and extend their existing skills in order to develop good understanding. Part 2 covers study skills as these relate to mathematics, and suggests practical approaches to learning effectively while enjoying undergraduate life.
As the first mathematics-specific study guide, this friendly, practical text is essential reading for any mathematics major.

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Exact Space-Times in Einstein's General Relativity by Jerry B. Griffiths, Jiří Podolský

Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learned about the character of gravitation and its effects by investigating particular idealized examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. New concepts, such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analyzed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.

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