SIX IDEAS THAT SHAPED PHYSICS is the 21st century's alternative to traditional, encyclopedic textbooks. Thomas Moore designed SIX IDEAS to teach students: --to apply basic physical principles to realistic situations --to solve realistic problems --to resolve contradictions between their preconceptions and the laws of physics --to organize the ideas of physics into an integrated hierarchy

This volume explores the scientific view of the world as it has developed from the earliest theories of Aristotle and Newton to modern thoughts from Einstein.

A unique presentation of our current understanding of particle physics for researchers, advanced undergraduate and graduate students.

This book is a substantially revised and expanded edition reflecting major developments in stochastic numerics since the first edition was published in 2004. The new topics, in particular, include mean-square and weak approximations in the case of nonglobally Lipschitz coefficients of Stochastic Differential Equations (SDEs) including the concept of rejecting trajectories; conditional probabilistic representations and their application to practical variance reduction using regression methods; multi-level Monte Carlo method; computing ergodic limits and additional classes of geometric integrators used in molecular dynamics; numerical methods for FBSDEs; approximation of parabolic SPDEs and nonlinear filtering problem based on the method of characteristics. SDEs have many applications in the natural sciences and in finance. Besides, the employment of probabilistic representations together with the Monte Carlo technique allows us to reduce the solution of multi-dimensional problems for partial differential equations to the integration of stochastic equations. This approach leads to powerful computational mathematics that is presented in the treatise. Many special schemes for SDEs are presented. In the second part of the book numerical methods for solving complicated problems for partial differential equations occurring in practical applications, both linear and nonlinear, are constructed. All the methods are presented with proofs and hence founded on rigorous reasoning, thus giving the book textbook potential. An overwhelming majority of the methods are accompanied by the corresponding numerical algorithms which are ready for implementation in practice. The book addresses researchers and graduate students in numerical analysis, applied probability, physics, chemistry, and engineering as well as mathematical biology and financial mathematics.

Force is one of the most elementary concepts that must be understood in order to understand modern science; it is discussed extensively in textbooks at all levels and is a requirement in most science guidelines. It is also one of the most challenging - how could one idea be involved in such disparate physical phenomena as gravity and radioactivity? Forces in Physics helps the science student by explaining how these ideas originally were developed and provides context to the stunning conclusions that scientists over the centuries have arrived at. It covers the history of all of the four traditional fundamental forces - gravity, electromagnetism, weak nuclear force, and the strong nuclear force - and shows how these forces have, over the years, allowed physicists to better understand the nature of the physical world. Forces in Physics: A Historical Perspective traces the evolution of the concept from the earliest days of the Ancient Greeks to the contemporary attempt to form a GUT (Grand Unified Theory): Aristotle and others in Ancient Greece who developed ideas about physical laws and the introduction of forces into nature; Newton and others in the Scientific Revolution who discovered that forces like gravity applied throughout the universe; the 19th century examinations of thermodynamics and the forces of the very small; and 20th century developments—relativity, quantum mechanics, and more advanced physics—that revolutionized the way we understand force. The volume includes a glossary of terms, a timeline of important events, and a bibliography of resources useful for further research.

Black & white print. University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity, and magnetism. Volume 3 covers optics and modern physics. This textbook emphasizes connections between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result.