Organized around the central concept of a vector space, the book includes numerous physical applications in the body of the text as well as many problems of a physical nature. It is also one of the purposes of this book to introduce the physicist to the language and style of mathematics as well as the content of those particular subjects with contemporary relevance in physics.Chapters 1 and 2 are devoted to the mathematics of classical physics. Chapters 3, 4 and 5 — the backbone of the book — cover the theory of vector spaces. Chapter 6 covers analytic function theory. In chapters 7, 8, and 9 the authors take up several important techniques of theoretical physics — the Green's function method of solving differential and partial differential equations, and the theory of integral equations. Chapter 10 introduces the theory of groups. The authors have included a large selection of problems at the end of each chapter, some illustrating or extending mathematical points, others stressing physical application of techniques developed in the text.Essentially self-contained, the book assumes only the standard undergraduate preparation in physics and mathematics, i.e. intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential equations. The text may be easily adapted for a one-semester course at the graduate or advanced undergraduate level.

    Three themes central to teaching today-- professionalism, diversity, and decision-making-- are woven through the text to give students deeper understanding of the teaching profession and to better prepare them for that profession. Two questions frame the text, "Do I want to be a teacher?" and "What kind of teacher do I want to become?." Case studies at the beginnings of chapters provide a frame of reference for understanding chapter content while numerous teaching vignettes throughout the chapters provide vivid examples that increase reader understanding and interest.

    It combines the essential elements of the theory with the practical applications. Containing many examples and problems with step-by-step solutions, this cleverly structured text assists the reader in mastering the machinery of quantum mechanics. * A comprehensive introduction to the subject * Includes over 65 solved examples integrated throughout the text * Includes over 154 fully solved multipart problems * Offers an indepth treatment of the practical mathematical tools of quantum mechanics * Accessible to teachers as well as students

    

    Before the Fallout is the epic story of the intervening half century, during which an exhilarating quest to unravel the secrets of the material world revealed how to destroy it, and an open, international, scientific adventure transmuted overnight into a wartime sprint for the bomb.Weaving together history, science, and biography, Diana Preston chronicles a human chain reaction of scientists and leaders whose discoveries and decisions forever changed our lives. The early decades of the 20th century brought Einstein's relativity theory, Rutherford's discovery of the atomic nucleus, and Heisenberg's quantum mechanics, and scientists of many nations worked together to tease out the secrets of the atom. Only 12 years before Hiroshima, one leading physicist dismissed the idea of harnessing energy from atoms as "moonshine." Then, on the eve of World War II, the power of atomic fission was revealed, alliances were broken, friendships sundered, and science co-opted by world events.Preston interviewed the surviving scientists, and she offers new insight into the fateful wartime meeting between Heisenberg and Bohr, along with a fascinating conclusion examining what might have happened had any number of events occurred differently. She also provides a rare portrait of Hiroshima before the blast.As Hiroshima's 60th anniversary approaches, Before the Fallout compels us to consider the threats and moral dilemmas we face in our still dangerous world.

    He also looks at philosophical issues in particular sciences, including the problem of classification in biology, and the nature of space and time in physics. The final chapter touches on the conflicts between science and religion, and explores whether science is ultimately a good thing.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    This is such a book. Max Born is a Nobel Laureate (1955) and one of the world's great physicists: in this book he analyzes and interprets the theory of Einsteinian relativity. The result is undoubtedly the most lucid and insightful of all the books that have been written to explain the revolutionary theory that marked the end of the classical and the beginning of the modern era of physics.The author follows a quasi-historical method of presentation. The book begins with a review of the classical physics, covering such topics as origins of space and time measurements, geometric axioms, Ptolemaic and Copernican astronomy, concepts of equilibrium and force, laws of motion, inertia, mass, momentum and energy, Newtonian world system (absolute space and absolute time, gravitation, celestial mechanics, centrifugal forces, and absolute space), laws of optics (the corpuscular and undulatory theories, speed of light, wave theory, Doppler effect, convection of light by matter), electrodynamics (including magnetic induction, electromagnetic theory of light, electromagnetic ether, electromagnetic laws of moving bodies, electromagnetic mass, and the contraction hypothesis). Born then takes up his exposition of Einstein's special and general theories of relativity, discussing the concept of simultaneity, kinematics, Einstein's mechanics and dynamics, relativity of arbitrary motions, the principle of equivalence, the geometry of curved surfaces, and the space-time continuum, among other topics. Born then points out some predictions of the theory of relativity and its implications for cosmology, and indicates what is being sought in the unified field theory.This account steers a middle course between vague popularizations and complex scientific presentations. This is a careful discussion of principles stated in thoroughly acceptable scientific form, yet in a manner that makes it possible for the reader who has no scientific training to understand it. Only high school algebra has been used in explaining the nature of classical physics and relativity, and simple experiments and diagrams are used to illustrate each step. The layman and the beginning student in physics will find this an immensely valuable and usable introduction to relativity. This Dover 1962 edition was greatly revised and enlarged by Dr. Born.

    Even ifyou don't consider yourself a "science" person, this book helpsmake learning key concepts a pleasure, not a chore. Whether youneed help in a course, want to review the basics for an exam, orsimply have always been curious about such physical phenomena asenergy, sound, electricity, light, and color, you've come to theright place! This fully up-to-date edition of Basic Physics: * Has been tested, rewritten, and retested to ensure that you canteach yourself all about physics * Requires no math--mathematical treatments and applications areincluded in optional sections so that you can choose either amathematical or nonmathematical approach * Lets you work at your own pace with a helpful question-and-answerformat * Lists objectives for each chapter--you can skip ahead or findextra help if you need it * Reinforces what you learn with end-of-chapter self-tests