 Calculus of Variations
by I. M. Gelfand, S. V. Fomin
Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.
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| |  Classical Mechanics: 2nd Edition
by H.C. Corben, Philip Stehle
Applications not usually taught in physics courses include theory of space-charge limited currents, atmospheric drag, motion of meteoritic dust, variational principles in rocket motion, transfer functions, much more. 1960 edition.
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 The Principles of Statistical Mechanics
by Richard C. Tolman
Definitive treatise offers a concise exposition of classical statistical mechanics and a thorough elucidation of quantum statistical mechanics, plus applications of statistical mechanics to thermodynamic behavior. 1930 edition.
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| |  Introduction to Continuum Mechanics for Engineers: Revised Edition
by Ray M. Bowen
This self-contained text introduces classical continuum models within a modern framework. Its numerous exercises illustrate the governing principles, linearizations, and other approximations that constitute classical continuum models. 2007 edition.
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 Engineering Mechanics for Structures
by Louis L. Bucciarelli
This text explores the mechanics of solids and statics as well as the strength of materials and elasticity theory. Its many design exercises encourage creative initiative and systems thinking. 2009 edition.
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| |  Splines and Variational Methods
by P. M. Prenter
This introductory treatment explains the application of theoretic notions to physical problems that engineers regularly encounter. Only a minimal background in linear algebra and analysis is required. 1975 edition.
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| |  Classical Field Theory
by Davison E. Soper
Geared toward advanced undergraduates and graduate students, this text offers an accessible approach to continuum mechanics, electrodynamics and the mechanics of electrically polarized media, and gravity. 1976 edition.
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 Exactly Solved Models in Statistical Mechanics
by Rodney J. Baxter
Exploration of two-dimensional lattice models examines basic statistical mechanics, Ising models, spherical models, ice-type models, corner transfer matrices, and elliptic functions. 1982 edition, with author's 2007 update on subsequent developments.
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| |  Introductory Statistical Mechanics for Physicists
by D. K. C. MacDonald
This concise introduction is geared toward those concerned with solid state or low temperature physics. It presents the principles with simplicity and clarity, reviewing issues of critical interest. 1963 edition.
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| |  Gauge Theory and Variational Principles
by David Bleecker
Covers principal fiber bundles and connections; curvature; particle fields, Lagrangians, and gauge invariance; inhomogeneous field equations; free Dirac electron fields; calculus on frame bundle; and unification of gauge fields and gravitation. 1981 edition
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 Principles of Thermodynamics and Statistical Mechanics
by D. F. Lawden
A thorough exploration of the universal principles of thermodynamics and statistical mechanics, this volume takes an applications-oriented approach to a multitude of situations arising in physics and engineering. 1987 edition.
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| |  Variational Principles
by B. L. Moiseiwitsch
This text shows how variational principles are used to determine the discrete eigenvalues for stationary state problems and to illustrate how to find the values of quantities that arise in the theory of scattering. 1966 edition.
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| |  Theoretical Mechanics of Particles and Continua
by Alexander L. Fetter, John Dirk Walecka
Lucid, self-contained account provides natural framework for the introduction of advanced mathematical concepts in physics. Topics include Lagrangian dynamics, Hamiltonian dynamics, fluids and sound and surface waves, more. 1980 edition.
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 Statistical Mechanics
by Norman Davidson
Sufficiently rigorous for introductory or intermediate graduate courses, this text offers a comprehensive treatment of the techniques and limitations of statistical mechanics. 82 figures. 15 tables. 1962 edition.
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| |  States of Matter
by David L. Goodstein
Overview covers thermodynamics and statistical mechanics; gases, solids, and liquids; perfect gases; electronics in metals; the Bose condensation; and numerous pertinent aspects of phase transitions. 1975 edition.
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 Dynamics
by Lawrence E. Goodman, William H. Warner
Beginning engineering text introduces calculus of vectors, particle motion, dynamics of particle systems and plane rigid bodies, technical applications in plane motions, and more. Exercises and answers in every chapter.
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 Variational Methods in Optimization
by Donald R. Smith
Highly readable text elucidates applications of the chain rule of differentiation, integration by parts, parametric curves, line integrals, double integrals, and elementary differential equations. 1974 edition.
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| |  Non-Linear Elastic Deformations
by R. W. Ogden
Classic in the field covers application of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems. References.
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 Statistical Mechanics: Principles and Selected Applications
by Terrell L. Hill
Standard text covers classical statistical mechanics, quantum statistical mechanics, relation of statistical mechanics to thermodynamics, plus fluctuations, theory of imperfect gases and condensation, distribution functions and the liquid state, more.
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| |  Mathematical Physics
by Donald H. Menzel
Useful treatment of classical mechanics, electromagnetic theory, and relativity includes explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, other advanced mathematical techniques. Nearly 200 problems with answers.
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 Mechanics
by J. P. Den Hartog
This classic introductory text features hundreds of applications and design problems that illuminate fundamentals of trusses, loaded beams and cables, and related areas. Includes 334 answered problems.
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| |  Mathematical Foundations of Statistical Mechanics
by A. Ya. Khinchin
Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Reduction to the Problem of the Theory of Probability; and more.
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