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Designed for nonexpert students and researchers, this text provides an accessible introduction to scientific numerical computation and its applications. It assumes no prior knowledge beyond undergraduate calculus and elementary computer programming. Fundamental and practical issues are discussed in a unified manner with a generous, but not excessive, dose of numerical analysis. The topics are introduced on a need to know basis in order to concisely...
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This book presents a clear, easy-to-understand manner on introduction and the use of numerical methods. It contains nine chapters with materials that are essential for studying the subject. The book starts from introducing the numerical methods and describing their importance for analyzing engineering problems. The methods for finding roots of linear and nonlinear equations are presented with examples. Some of these methods are very effective and...
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Highly respected classic, geared toward intermediate-level meteorology students, discusses a variety of types of analysis, considers aspects of broad-scale analysis and local analysis, and provides a brief survey of analysis in the tropics. Hundreds of detailed graphs and charts. Contents: 1. A Review of the Atmospheric Variables. 2. Meteorological Charts and Diagrams. 3. Hydrostatics and Static Stability. 4. Theory and Practice of Scalar Analysis....
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This book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalculus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still a lively and flourishing part of mathematics. In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical...
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"This is the revised and greatly expanded Second Edition of the hugely popular Numerical Recipes: The Art of Scientific Computing. The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a complete text and reference book on scientific computing. In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines. With over...
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Counter "This is one of the best popular books on mathematics I have ever read. I recommend it to anyone interested in the fascinating problems of mathematics. The author has done a marvelous job explaining difficult mathematical concepts and making them accessible." - Amir D. Aczel, author of Fermat's Last Theorem "No book in recent decades conveys more forcefully and beautifully the excitement of mathematical exploration than Dr. Szpiro's work."...
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Pascal has become the most widely used language for the teaching and illustration of good programming style. In addition, Pascal is being used increasingly as an implmentation language for practical applications on microcomputers and mainframes. An Introduction to Numerical Methods with Pascal takes the unique approach of integrating the despcription of a numerical method with its Pascal implementation, and shows the application of general data structures...
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Computation and its Limits is an innovative cross-disciplinary investigation of the relationship between computing and physical reality. It begins by exploring the mystery of why mathematics is so effective in science and seeks to explain this in terms of the modelling of one part of physical reality by another. Going from the origins of counting to the most blue-skies proposals for novel methods of computation, the authors investigate the extent...
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