This new text surveys a series of fundamental problems in astrophysics, both analytically and computationally, for advanced students in physics and astrophysics. The contents are supported by more than 110 class-tested Mathematica® notebooks, allowing rigorous solutions to be explored in a visually engaging way. Topics covered include many classical and historically interesting problems, enabling students to appreciate the mathematical and scientific challenges that have been overcome in t...

'In order to understand the universe you must know the language in which it is written. And that language is mathematics.'- Galileo (1564-1642)For hundreds of thousands of years, we have sought order in the apparent chaos of the universe. Mathematics has been our most valuable tool in that search, uncovering the patterns and rules that govern our world and beyond. How the World Works: Mathematics serves as a brilliant introduction to the history and...

International bestselling authors Brian Cox and Jeff Forshaw's fascinating, entertaining, and clear introduction to quantum mechanicsIn The Quantum Universe, Brian Cox and Jeff Forshaw approach the world of quantum mechanics in the same way they did in Why Does E=mc2? and make fundamental scientific principles accessible-and fascinating-to everyone.The subatomic realm has a reputation for weirdness, spawning any number of profound misunderstanding...

Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suitable for an introductory course on quantum phase transitions, assuming no prior knowledge of quantum field theory. It also contains several new chapters to cover important recent advances, such ...

Providing an up-to-date and lucid presentation of phenomena across modern advanced-level solid state physics, this new edition builds on an elementary understanding to introduce students to the key research topics with the minimum of mathematics. It covers cutting-edge topics, including electron transport and magnetism in solids. It is the first book to explain topological insulators and strongly correlated electrons. Explaining solid state physics in a clear and detailed way, it also has ...

The book is an overview of the major subfields and concepts in physics, including a brief outline of the history of physics and its subfields.Physics (from Greek from φυσικός (phusikos): natural, from φύσις (fysis): Nature) is the science of Nature in the broadest sense. Physicists study the behaviour and interactions of matter and radiation. Theories of physics are generally expressed as mathematical relations. Well-established theories are often referred to as physical laws or la...

This is a unique book with a different aim from other books on the subject. The idea is to provide readers with the “big picture” first, yet at a level that helps further the study of physical chemistry. The text covers all the important topics in physical chemistry — thermodynamics, statistical thermodynamics, quantum chemistry, and chemical kinetics — staying rigorously close to the basic theory, using appropriate mathematics but avoiding long derivations. Moreover, the book is supplemen...

Quirky Quantum Concepts explains the more important and more difficult concepts in theoretical quantum mechanics, especially those which are consistently neglected or confusing in many common expositions. The emphasis is on physical understanding, which is necessary for the development of new, cutting edge science.In particular, this book explains the basis for many standard quantum methods, which are too often presented without sufficient motivation or interpretation. The...

In this third volume of The Quantum Theory of Fields, available for the first time in paperback, Nobel Laureate Steven Weinberg continues his masterly exposition of quantum field theory. This volume presents a self-contained, up-to-date and comprehensive introduction to supersymmetry, a highly active area of theoretical physics. The text introduces and explains a broad range of topics, including supersymmetric algebras, supersymmetric field theories, extended supersymmetry, supergraphs, no...

Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 30...

The Fundamentals of Atomic and Molecular Physics is intended as an introduction to the field for advanced undergraduates who have taken quantum mechanics. Each chapter builds upon the previous, using the same tools and methods throughout. As the students progress through the book, their ability to use these tools will steadily increase, along with their confidence in their efficacy. The book treats the two-electron atom as the simplest example of the many-electron atom—as opposed ...

This textbook provides advanced undergraduate and graduate students with a complete introduction to modern cosmology. It successfully bridges the gap between undergraduate and advanced graduate texts by discussing topics of current research, starting from first principles. Throughout this authoritative volume, emphasis is given to the simplest, most intuitive explanation for key equations used by researchers. The first third of the book carefully develops the necessary background in genera...