Exceptionally articulate treatment of negative temperatures, relativistic effects, black hole thermodynamics, gravitational collapse, much more. Over 100 problems with worked solutions. Geared toward advanced undergraduates and graduate students.
Outstanding, wide-ranging material on classification and reduction to canonical form of second-order differential equations; hyperbolic, parabolic, elliptic equations, more. Bibliography.
This is an introduction to the theory of non-linear ill-posed problems. It considers applications in linear algebra, vibrational spectroscopy, astrophysics and medicine.
Often many scientific, technological and engineering problems turn out to be ill-pose; meaning they have no solution, no unique solution or an unstable solution. Where searching generalized solutions fails to solve the problem, regularizing algorithms of discrepancy, quasisolutions and smoothing functions are used. Professor A N Tikhonov was the ...
The first international conference "Ill-Posed Problems in Natural Sciences" was held in Moscow, August 1991. This proceedings volume contains selected papers by specialists in the theory and applications of ill-posed and inverse problems. The book covers a wide range of topics, including theoretical mathematical physics, numerical methods in ...
Thorough, rigorous advanced-undergraduate to graduate-level treatment of problems leading to partial differential equations. Hyperbolic, parabolic, elliptic equations; wave propagation in space, heat conduction in space, more. Problems. Appendixes.
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