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## The Variational Principles of Mechanics Leia online

- Autor: Cornelius Lanczos
- Editor: Dover Publications
- Data de publicação: 1986-03-01
- ISBN: 9780486650678
- Número de páginas: 418 pages
- Tag: variational, principles, mechanics

Analytical mechanics is, of course, a topic of perennial interest and usefulness in physics and engineering, a discipline that boasts not only many practical applications, but much inherent mathematical beauty. Unlike many standard textbooks on advanced mechanics, however, this present text eschews a primarily technical and formalistic treatment in favor of a fundamental, historical, philosophical approach. As the author remarks, there is a tremendous treasure of philosophical meaning" behind the great theories of Euler and Lagrange, Hamilton, Jacobi, and other mathematical thinkers.

Well-written, authoritative, and scholarly, this classic treatise begins with an introduction to the variational principles of mechanics including the procedures of Euler, Lagrange, and Hamilton.

Ideal for a two-semester graduate course, the book includes a variety of problems, carefully chosen to familiarize the student with new concepts and to illuminate the general principles involved. Moreover, it offers excellent grounding for the student of mathematics, engineering, or physics who does not intend to specialize in mechanics, but wants a thorough grasp of the underlying principles.

The late Professor Lanczos (Dublin Institute of Advanced Studies) was a well-known physicist and educator who brought a superb pedagogical sense and profound grasp of the principles of mechanics to this work, now available for the first time in an inexpensive Dover paperback edition. His book will be welcomed by students, physicists, engineers, mathematicians, and anyone interested in a clear masterly exposition of this all-important discipline.

## The Gamma Function Leia online

- Autor: Emil Artin
- Editor: Dover Publications Inc.
- Data de publicação: 2015-04-24
- ISBN: 0486789780
- Número de páginas: 48 pages
- Tag: gamma, function

This brief monograph on the gamma function by a major 20th century mathematician was designed to bridge a gap in the literature of mathematics between incomplete and over-complicated treatments. Topics include functions, the Euler integrals and the Gauss formula, large values of x and the multiplication formula, the connection with sin x, applications to definite integrals, and other subjects.

## Theoretical Physics Leia online

- Autor: George Joos
- Editor: Dover Publications
- Data de publicação: 1987-03-01
- ISBN: 0486652270
- Número de páginas: 885 pages
- Tag: theoretical, physics

Classic one-volume treatise covers mathematical topics needed by theoretical and experimental physicists (vector analysis, calculus of variations, etc.), followed by extensive coverage of mechanics, electromagnetic theory, thermodynamics, quantum mechanics, and nuclear physics. Indispensable reference for graduates and undergraduates.

## The Dore Illustrations for Dante's Divine Comedy Leia online

- Autor: Gustave Dore
- Editor: Dover Publications
- Data de publicação: 1976-06-01
- ISBN: 048623231X
- Número de páginas: 144 pages
- Tag: illustrations, dantes, divine, comedy

These 135 fantastic and grotesque scenes depict the passion and grandeur of Dante's masterpiece ― from the depths of Hell onto the mountain of Purgatory and up to the empyrean realms of Paradise. Includes plates produced for The Inferno, Purgatory, and Paradise. Illustrations accompanied by appropriate lines from the Longfellow translation.

## Famous Problems of Geometry and How to Solve Them Leia online

- Autor: Benjamin Bold
- Editor: Dover Publications
- Data de publicação: 1982-03-01
- ISBN: 0486242978
- Número de páginas: 112 pages
- Tag: famous, problems, geometry, solve

Amateur puzzlists as well as students of mathematics and geometry will relish this rare opportunity to match wits with Archimedes, Euclid, Newton, Descartes, and other great mathematicians. Each chapter explores an individual type of geometric challenge, with commentary and practice problems, and reveals a milestone in the development of mathematics. Solutions.

## Physics and Music: The Science of Musical Sound Leia online

- Autor: Harvey E. White
- Editor: Dover Publications
- Data de publicação: 2014-06-18
- ISBN: 0486779343
- Número de páginas: 422 pages
- Tag: physics, music, science, musical, sound

This foundational text is written for students who want to go beyond the perceptual stage of music to learn how musical sound is created and perceived. It surveys a wide range of topics related to acoustics, beginning with a brief history of the art and science of music. Succeeding chapters explore the general principles of sound, musical scales, the primary ways in which sound can be generated, the characteristics of instruments, the use of mechanical and electronic recording devices, hi-fi stereophonic and quadraphonic sound, the design of electronic musical instruments, and architectural acoustics.

Comprehensive yet accessible, Physics and Music includes over 300 diagrams, photographs, and tables. Each chapter concludes with questions, problems, and projects, in addition to references for further study. 1980 edition.

Comprehensive yet accessible, Physics and Music includes over 300 diagrams, photographs, and tables. Each chapter concludes with questions, problems, and projects, in addition to references for further study. 1980 edition.

## Lectures on Quantum Mechanics Leia online

- Autor: Paul Adrien Maurice Dirac
- Editor: Dover Publications
- Data de publicação: 2001-03-22
- ISBN: 0486417131
- Número de páginas: 87 pages
- Tag: lectures, quantum, mechanics

The author of this concise, brilliant series of lectures on mathematical methods in quantum mechanics was one of the shining intellects in the field, winning a Nobel prize in 1933 for his pioneering work in the quantum mechanics of the atom. Beyond that, he developed the transformation theory of quantum mechanics (which made it possible to calculate the statistical distribution of certain variables), was one of the major authors of the quantum theory of radiation, codiscovered the Fermi-Dirac statistics, and predicted the existence of the positron. The four lectures in this book were delivered at Yeshiva University, New York, in 1964. The first, "The Hamiltonian Method," is an introduction to visualizing quantum theory through the use of classical mechanics. The remaining lectures build on that idea. "The Problem of Quantization" shows how one can start with a classical field theory and end up with a quantum field theory. In "Quantization on Curved Surfaces," Dirac examines the possibility of building a relativistic quantum theory on curved surfaces. He deduces that it is not possible, but it should be possible on flat surfaces. In the final lecture, "Quantization on Flat Surfaces," he concludes that "we can set up the basic equations for a quantum theory of the Born-Infeld electrodynamics agreeing with special relativity, but [not] with general relativity." Physics and chemistry students will find this book an invaluable addition to their libraries.

## Thermodynamics Leia online

- Autor: Enrico Fermi
- Editor: Dover Publications
- Data de publicação: 1956-06-01
- ISBN: 048660361X
- Número de páginas: 160 pages
- Tag: thermodynamics

Indisputably, this is a modern classic of science. Based on a course of lectures delivered by the author at Columbia University, the text is elementary in treatment and remarkable for its clarity and organization. Although it is assumed that the reader is familiar with the fundamental facts of thermometry and calorimetry, no advanced mathematics beyond calculus is assumed.

Partial contents: thermodynamic systems, the first law of thermodynamics (application, adiabatic transformations), the second law of thermodynamics (Carnot cycle, absolute thermodynamic temperature, thermal engines), the entropy (properties of cycles, entropy of a system whose states can be represented on a (V, p) diagram, Clapeyron and Van der Waals equations), thermodynamic potentials (free energy, thermodynamic potential at constant pressure, the phase rule, thermodynamics of the reversible electric cell), gaseous reactions (chemical equilibria in gases, Van't Hoff reaction box, another proof of the equation of gaseous equilibria, principle of Le Chatelier), the thermodynamics of dilute solutions (osmotic pressure, chemical equilibria in solutions, the distribution of a solute between 2 phases vapor pressure, boiling and freezing points), the entropy constant (Nernst's theorem, thermal ionization of a gas, thermionic effect, etc.).

Partial contents: thermodynamic systems, the first law of thermodynamics (application, adiabatic transformations), the second law of thermodynamics (Carnot cycle, absolute thermodynamic temperature, thermal engines), the entropy (properties of cycles, entropy of a system whose states can be represented on a (V, p) diagram, Clapeyron and Van der Waals equations), thermodynamic potentials (free energy, thermodynamic potential at constant pressure, the phase rule, thermodynamics of the reversible electric cell), gaseous reactions (chemical equilibria in gases, Van't Hoff reaction box, another proof of the equation of gaseous equilibria, principle of Le Chatelier), the thermodynamics of dilute solutions (osmotic pressure, chemical equilibria in solutions, the distribution of a solute between 2 phases vapor pressure, boiling and freezing points), the entropy constant (Nernst's theorem, thermal ionization of a gas, thermionic effect, etc.).

## Vectors, Tensors and the Basic Equations of Fluid Mechanics Leia online

- Autor: Rutherford Aris
- Editor: Dover Publications
- Data de publicação: 1990-01-01
- ISBN: 0486661105
- Número de páginas: 320 pages
- Tag: vectors, tensors, basic, equations, fluid, mechanics

This introductory text is geared toward engineers, physicists, and applied mathematicians at the advanced undergraduate and graduate levels. It applies the mathematics of Cartesian and general tensors to physical field theories and demonstrates them chiefly in terms of the theory of fluid mechanics. Numerous exercises appear throughout the text. 1962 edition.

## The Number Theory Leia online

- Autor: George E. Andrews
- Editor: Dover Publications
- Data de publicação: 1994-10-12
- ISBN: 0486682528
- Número de páginas: 259 pages
- Tag: number, theory

Written by a distinguished mathematician and teacher, this undergraduate text uses a combinatorial approach to accommodate both math majors and liberal arts students. In addition to covering the basics of number theory, it offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more.