Written by three celebrated astronomers renowned for their excellence in both research and teaching, the central theme is approached in three complementary ways: the smooth evolution of the universe from the Big Bang to the present structures of matter; as a meandering road paved by our observations of stars, galaxies, and clusters; and how these approaches have been gradually developed and intertwined in the historical process leading to modern-day cosmology.
Written by three celebrated astronomers renowned for their excellence in both research and teaching, the central theme is approached in three complementary ways: the smooth evolution of the universe from the Big Bang to the present structures of matter; as a meandering road paved by our observations of stars, galaxies, and clusters; and how these approaches have been gradually developed and intertwined in the historical process leading to modern-day cosmology.
This book takes readers on a thrilling tour of some of the most important and powerful areas of contemporary numerical mathematics. The tour is organized along the 10 problems of the SIAM 100-Digit Challenge, a contest posed by Nick Trefethen of Oxford University in the January/February 2002 issue of SIAM News. The complete story of the contest as well as a lively interview with Nick Trefethen are also included. The authors, members of teams that solved all 10 problems, show in detail multiple approaches for solving each problem, ranging from elementary to sophisticated, from brute-force to schemes that can be scaled to provide thousands of digits of accuracy and that can solve even larger related problems. The authors touch on virtually every major technique of modern numerical analysis: matrix computation, iterative linear methods, limit extrapolation and convergence acceleration, numerical quadrature, contour integration, discretization of PDEs, global optimization, Monte Carlo and evolutionary algorithms, error control, interval and high-precision arithmetic, and many more.
Reprint of the original, first published in 1872. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.
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