Описание: One of the most widely used reference books on applied mathematics for a generation, distributed in multiple languages throughout the world, this text is geared toward use with a one-year advanced course in applied mathematics for engineering students. The treatment assumes a solid background in the theory of complex variables and a familiarity with complex numbers, but it includes a brief review. Chapters are as self-contained as possible, offering instructors flexibility in designing their own courses. The first eight chapters explore the analysis of lumped parameter systems. Succeeding topics include distributed parameter systems and important areas of applied mathematics. Each chapter features extensive references for further study as well as challenging problem sets. Answers and hints to select problem sets are included in an Appendix. This edition includes a new Preface by Dr. Lawrence R. Harvill.
Автор: Dennery, Philippe Название: EOU - Mathematics for Physicists ISBN: 0486461556 ISBN-13(EAN): 9780486461557 Издательство: Dover Цена: 2063 р. Наличие на складе: Поставка под заказ.
Автор: Dennery, Philippe Название: Mathematics for Physicists ISBN: 0486691934 ISBN-13(EAN): 9780486691930 Издательство: Dover Рейтинг: Цена: 2293 р. Наличие на складе: Поставка под заказ.
"A fine example of how to present 'classical' physical mathematics." -- American Scientist Written for advanced undergraduate and graduate students, this volume provides a thorough background in the mathematics needed to understand today's more advanced topics in physics and engineering. Without sacrificing rigor, the authors develop the theoretical material at length, in a highly readable, and, wherever possible, in an intuitive manner. Each abstract idea is accompanied by a very simple, concrete example, showing the student that the abstraction is merely a generalization from easily understood specific cases. The notation used is always that of physicists. The more specialized subjects, treated as simply as possible, appear in small print; thus, it is easy to omit them entirely or to assign them to the more ambitious student. Among the topics covered are the theory of analytic functions, linear vector spaces and linear operators, orthogonal expansions (including Fourier series and transforms), theory of distributions, ordinary and partial differential equations and special functions: series solutions, Green's functions, eigenvalue problems, integral representations. "An outstandingly complete collection of mathematical material of wide application in physics . . . invaluable to the reader intent on increasing his knowledge of the mathematical theories and techniques underlying physics." -- Applied Optics
Описание: This text introduces advanced undergraduates and graduate students to symmetry relations by means of group theory. Key relationships are derived in detail from first principles. Rather than matrix theory, the treatment employs algebraic theory in deriving the properties of characters and projection operators. This approach is customarily employed in quantum mechanics courses and makes the connection to group structure clearer. Cayley diagrams illustrate the structure of finite groups. Permutation groups are considered in some detail, and the special methods needed for continuous groups are developed. The treatment's broad range of applications offers students assistance in analyzing the modes of motion of symmetric classical systems; the constitutive relations in crystalline systems; the modes of vibration in molecules; the molecular orbitals of molecules; the electronic structures of atoms; the attendant spectra; and fundamental particle multiplets. Each chapter concludes with a concise review, discussion questions, problems, and references. 1992 edition.
From Galileo's famous experiments in accelerated motion to Einstein's revolutionary theory of relativity, the experiments recorded here trace the evolution of modern physics from its beginnings to the mid-twentieth century. Brought together for the first time in one volume are important source readings on 25 epochal discoveries that changed man's understanding of the physical world. The accounts, written by the physicists who made them, include: Isaac Newton: The Laws of Motion Henry Cavendish: The Law of Gravitation Augustin Fresnel: The Diffraction of Light Hans Christian Oersted: Elecromagnetism Heinrich Hertz: Electromagnetic James Chadwick: The Neutron Niels Bohr: The Hydrogen Atom, and 17 more. Morris H. Shamos, Professor Emeritus of Physics at New York University, has selected and edited the first published accounts of these important experiments and has also added numerous marginal notes that amplify and clarify the original documents. Moreover, the first 19 experiments can be readily re-created by students in a first-year physics course, making the book ideal for classroom and laboratory work as well as individual reference and study. Finally, Dr. Shamos has provided revealing biographical sketches of the scientists and illuminating references to the political and cultural milieu in which the discoveries are made. The result is a superbly readable presentation accessible to lay readers of the crucial theoretical and empirical breakthroughs that altered the course of modern science."
Автор: Fermi Laura Название: Galileo and the Scientific Revolution ISBN: 0486432262 ISBN-13(EAN): 9780486432267 Издательство: Dover Рейтинг: Цена: 1489 р. Наличие на складе: Поставка под заказ.
"As fresh and invigorating a work in the field of science biography as was its hero in his day." -- Science "A clear exposition of his discoveries, methods, and experiments...Recommended." -- Library Journal An absorbing account of the origins of modern science as well as a biography of the revolutionary thinker, this inspiring book was co-written by a former director of the Italian Institute for Nuclear Physics and a historian of science (who was also the wife of physicist Enrico Fermi). It begins in Galileo's youth, with his return to his native city of Pisa to train as a physician. Instead, the student became captivated by the power of mathematical reasoning -- an interest that led him to apply mathematical logic to natural events and, ultimately, to invent the concept of experimentation. Galileo's progress from student to teacher to scientific innovator is traced, with particular emphasis on his experiments with building and refining telescopes and his unprecedented observations of the moon and planets. The dramatic results of his findings, including his refutation of Aristotelian theory and his support of Copernican doctrine, are related in full, along with his clash with the papal inquisition and his tragic demise under house arrest. Written with a warm appreciation for the wonders of Galileo's achievements and with impeccable scholarship, this book concludes with a survey of the scientist's remarkable legacy. 12 figures. Appendix. Bibliography. Index.
Автор: Hall, A. Rupert Название: From Galileo to Newton ISBN: 0486242277 ISBN-13(EAN): 9780486242279 Издательство: Dover Рейтинг: Цена: 1948 р. Наличие на складе: Поставка под заказ.
Автор: Galilei, Galileo Название: Dialogues Concerning Two New Sciences ISBN: 0486600998 ISBN-13(EAN): 9780486600994 Издательство: Dover Рейтинг: Цена: 1948 р. Наличие на складе: Невозможна поставка.
Описание: This is the standard translation of one of the greatest single works by one of Western sciences' greatest single men, the Renaissance physicist Galileo Galilei. Written near the end of his life, the book had to be published abroad and led to Galileo's condemnation. But he nevertheless considered it to be "superior to everything else of mine published."Despite the fact that the book encompasses thirty years of highly original experimentation and theorizing on the part of this singular man, it is eminently readable. Written as a discussion between a master and two students, it sets forth its hundreds of experiments and summarizes the conclusions Galileo drew from those experiments in a brisk, direct style. Using helpful geometric demonstrations, Galileo discusses aspects of fracture of solid bodies, cohesion, leverage, the speed of light, sound, pendulums, falling bodies, projectiles, uniform motion, accelerated motion, and the strength of wires, rods, and beams under different loadings and placements. Not only does the book display the genius of one of the makers of our civilization, but it also presents, for the historian of science, considerable information about Renaissance misapprehensions that Galileo refuted. "The publishers are to be congratulated for making this celebrated book once more readily available." -- Quarterly of Applied Physics.
Описание: Meet a diverse group of highly original thinkers and learn about their lives and achievements: Galileo, a founding father of astronomy and physics; Christiaan Huygens, a seventeenth-century pioneer of wave-particle duality; and Isaac Newton, the English mathematician and physicist who laid the groundwork for a scientific revolution and promoted radical investigation as the means to reveal nature's hidden workings. This chronicle of physics and physicists traces the development of scientific thought from these originators to their successors, among them Faraday, Watts, Helmholtz, Maxwell, Boltzmann, and Gibbs. Combining his own engaging style with the physicists' original writings, the author illustrates the evolution of individual physical ideas, as well as their roles in the wider field. A student and colleague of Enrico Fermi, Emilio Segre (1905-89) made numerous important contributions to nuclear physics, including his participation in the Manhattan Project. A Nobel laureate, Segre is further renowned for his narrative skills as an historian. Hailed by the Journal of the History of Astronomy as "charming and witty," this book is a companion to the author's From X-Rays to Quarks: Modern Physicists and Their Discoveries, also available from Dover Publications.
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