Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. A chapter on differential geometry introduces readers to the study of this subject by the methods of vector algebra. The next section explores the many aspects of the theory of mechanics adaptable to the use of vectors, and a full ...

**A master physicist and a self-taught scientist present the ultimate introduction to classical mechanics for people who are serious about learning physicsA New York Times BestsellerA Wall Street Journal Best Book of the Year“Beautifully clear explanations of famously ‘difficult’ things.” ―Wall Street Journal**If you ever regretted not taking physics in college – or simply want to know how to think like a physicist – this is the boo...

'For anyone who is determined to learn physics for real, looking beyond conventional popularizations, this is the ideal place to start. It gets directly to the important points, with nuggets of deep insight scattered along the way' Sean Carroll, physicist and author of The Particle at the End of the UniverseIn this stimulating primer, world-class physicist and father of string theory Leonard Susskind and citizen-scientist George Hrabovsky combine forces to...

Changes and additions to the new edition of this classic textbook include a new chapter on symmetries, new problems and examples, improved explanations, more numerical problems to be worked on a computer, new applications to solid state physics, and consolidated treatment of time-dependent potentials.

A concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. The book begins by applying Lagrange's equations to a number of mechanical systems. It introduces the concepts of generalized coordinates and generalized momentum. Following this the book turns to the calculus of variations to derive the Euler–Lagrange equations. It introduces Hamilton's principle and us...

One of the most important—and beautiful—mathematical solutions ever devised, Noether’s theorem touches on every aspect of physics."In the judgment of the most competent living mathematicians, Fräulein Noether was the most significant creative mathematical genius thus far produced since the higher education of women began."—Albert EinsteinThe year was 1915, and the young mathematician Emmy Noether had just settled into Göttingen University when Albert Einste...

An accessible exploration of a notoriously difficult subject, this "gem of physics pedagogy . . . should be required reading for all courses on thermodynamics" (Robert C. Hilborn, University of Texas at Dallas).Presenting classical thermodynamics as a concise and discrete whole, Mere Thermodynamics is a perfect tool for teaching the theory's central concepts and methods. The book features end-of-chapter practice problems, an appendix of worked problems, a ...

The book, Elements of Vector Algebra, is written for high school and engineering students who wish to gain elementary knowledge of vectors. Algebraic and geometric interpretations of vectors, along with examples and exercises in mathematical and engineering applications, have been provided to help develop a clear understanding of the vector concepts.The book provides thorough treatment of elementary vector operators and their algebra, product of two and three vectors and various en...

This is the fifth edition of a well-established textbook. It is intended to provide a thorough coverage of the fundamental principles and techniques of classical mechanics, an old subject that is at the base of all of physics, but in which there has also in recent years been rapid development. The book is aimed at undergraduate students of physics and applied mathematics. It emphasizes the basic principles, and aims to progress rapidly to the point of being able to handle physically and ma...

Charged Particle Optics Theory: An Introduction identifies the most important concepts of charged particle optics theory, and derives each mathematically from the first principles of physics. Assuming an advanced undergraduate-level understanding of calculus, this book follows a logical progression, with each concept building upon the preceding one. Beginning witha non-mathematical survey of the optical nature of a charged particle beam, the text:Discusses...

Tensor analysis is used in engineering and science fields. Calculations of physical quantities in different systems of coordinates and transformations are required in scientific computations. This requires the use of mathematical concepts and application software. This book is designed to provide the necessary definitions, formulations, and procedures for tensor analysis and transformations to help engineers and scientists to perform their calculations in arbitrary coordinates systems. Com...

Quantum physics and special relativity theory were two of the greatest breakthroughs in physics during the twentieth century and contributed to paradigm shifts in physics. This book combines these two discoveries to provide a complete description of the fundamentals of relativistic quantum physics, guiding the reader effortlessly from relativistic quantum mechanics to basic quantum field theory. The book gives a thorough and detailed treatment of the subject, beginning with the classificat...