Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated functi... read more
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Classical Dynamics by Donald T. Greenwood Graduate-level text provides strong background in more abstract areas of dynamical theory. Hamilton's equations, d'Alembert's principle, Hamilton-Jacobi theory, other topics. Problems and references. 1977 edition.
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.
Dynamics of Physical Systems by Dr. Robert H., Jr. Cannon Comprehensive text and reference covers modeling of physical systems in several media, derivation of differential equations of motion and related physical behavior, dynamic stability and natural behavior, more. 1967 edition.
Methods of Analytical Dynamics by Leonard Meirovitch Encompassing formalism and structure in analytical dynamics, this graduate-level text discusses fundamentals of Newtonian and analytical mechanics, rigid body dynamics, problems in celestial mechanics and spacecraft dynamics, more. 1970 edition.
Problems of Atomic Dynamics by Max Born The Nobel Laureate discusses the foundations of quantum theory in two lectures, one on the structure of the atom, the other on the lattice theory of rigid bodies.
Variational Principles in Dynamics and Quantum Theory by Wolfgang Yourgrau, Stanley Mandelstam Appropriate for advanced undergraduates and graduate students, this historical and theoretical survey focuses on applications relevant to modern physics, offering valuable insights into the development of quantum mechanics. 1968 edition.
Finite Markov Processes and Their Applications by Marius Iosifescu Self-contained treatment covers both theory and applications. Topics include the fundamental role of homogeneous infinite Markov chains in the mathematical modeling of psychology and genetics. 1980 edition.
Markov Processes and Potential Theory by Robert M. Blumenthal, Ronald K. Getoor This graduate-level text explores the relationship between Markov processes and potential theory in terms of excessive functions, multiplicative functionals and subprocesses, additive functionals and their potentials, and dual processes. 1968 edition.
Theory of Markov Processes by E. B. Dynkin, D. E. Brown, T. Kovary An investigation of the logical foundations of the theory behind Markov random processes, this text explores subprocesses, transition functions, and conditions for boundedness and continuity. 1961 edition.
Mathematics of Classical and Quantum Physics by Frederick W. Byron, Jr., Robert W. Fuller Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, more. Many problems. Bibliography.
Mathematics for Physicists by Philippe Dennery, André Krzywicki Superb text provides math needed to understand today's more advanced topics in physics and engineering. Theory of functions of a complex variable, linear vector spaces, much more. Problems. 1967 edition.
Mathematics for the Physical Sciences by Laurent Schwartz Concise treatment of mathematical entities employs examples from the physical sciences. Topics include distribution theory, Fourier series, Laplace transforms, wave and heat conduction equations, and gamma and Bessel functions. 1966 edition.
Mathematics for the Physical Sciences by Herbert S Wilf Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems. Includes exercises and solutions. 1962 edition.
Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials offer a variety of online components, including PowerPoint lecture slides for professors and MATLAB exercises. "Even though there are many dynamical systems books on the market, this book is bound to become a classic. The theory is explained with attractive stories illustrating the theory of dynamical systems, such as the Newton method, the Feigenbaum renormalization picture, fractal geometry, the Perron-Frobenius mechanism, and Google PageRank." — Oliver Knill, PhD, Preceptor of Mathematics, Harvard University.
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