Elements of Classical Physics tackles the different areas of general physics in a way that the authors believe to be more effective. The book contains material easily understood with a minimal mathematical framework and introduces the necessary mathematical concepts when they have been presented in a typical concurrent mathematical course. The book also provides a quantitative understanding of the different concepts in a wide variety of specific situations. The topics covered, which are arranged according to increasing difficulty in a uniformly progressive pace, are temperature and heat; light and wavelength; particle motion on and special relativity; dynamics, laws of motion, momentum, work, and mechanical energy; electromagnetism; and thermodynamics. The material is recommended as a textbook for beginning physics students, as it aims to give its readers a smooth transition from high school to a college level of understanding on the subject.

Integrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion. Nowadays it is well recognised that integrable systems play a ubiquitous role in many research areas ranging from quantum field theory, string theory, solvable models of statistical mechanics, black hole physics, quantum chaos and the AdS/CFT correspondence, to pure mathematics, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite-dimensional integrable models, this book covers the basic concepts of integrability including elements of the modern geometric approach based on Poisson reduction, classical and quantum factorised scattering and various incarnations of the Bethe Ansatz. Applications of integrability methods are illustrated in vast detail on the concrete examples of the Calogero-Moser-Sutherland and Ruijsenaars-Schneider models, the Heisenberg spin chain and the one-dimensional Bose gas interacting via a delta-function potential. This book has intermediate and advanced topics with details to make them clearly comprehensible.

This book presents the basic elements of theoretical physics in a highly accessible, captivating way for university students in the third year of a degree in physics. It covers analytical mechanics, thermodynamics and statistical physics, special and general relativity and non-relativistic quantum theory, fully developing the necessary mathematical methods beyond standard calculus. The central theme is scientific curiosity and the main focus is on the experimental meaning of all quantities and equations. Several recent verifications of General Relativity are presented, with emphasis on the physical effects – why they were predicted to exist and what signals they were seen to produce. Similarly, the basic reasons why superconductors have zero resistance and are perfect diamagnets are pinpointed. Quantum Eraser Experiments and Delayed Choice Experiments are described. Many statements of Quantum Theory are a challenge to common sense and some crucial predictions have often been considered hard to believe and have been tested experimentally. The book examines the EPR paradox, Bell states and teleportation. To show the beauty and richness of the subject, various topics from different areas of Physics are covered. These include: discrete quantum models and lattices (periodic and not), Casimir effect, Anyons, Fano Resonances, the Hanbury Brown and Twiss effect, the Aharonov-Bohm effect, the Meitner-Auger effect, Squeezed Light, the Rabi model, neutrino oscillations, aspects of Quantum Transport, Quantum Pumping, and Berry phases, black holes and cosmological problems.

The laws of thermodynamics are amongst the most assured and wide-ranging of all scientific laws. They do not pretend to explain any observation in molecular terms but, by showing the necessary relationships between different physical properties, they reduce otherwise disconnected results to compact order, and predict new effects. This classic title, first published in 1957, is a systematic exposition of principles, with examples of applications, especially to changes of places and the conditions for stability. In all this entropy is a key concept.

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