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This invaluable book offers engineers and physicists working knowledge of a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, but nevertheless extremely useful when applied to typical problems in many different fields. It deals principally with linear algebraic equations, quadratic and Hermitian forms, operations with vectors and matrices, the calculus of variations, and the formulations and theory of linear integral equations. Annotated problems and exercises accompany each chapter.
Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, more. Includes 150 additional problems in this edition.
The text provides advanced undergraduates with the necessary background in advanced calculus topics, providing the foundation for partial differential equations and analysis. Readers of this text should be well-prepared to study from graduate-level texts and publications of similar level. KEY TOPICS: Ordinary Differential Equations; The Laplace Transform; Numerical Methods for Solving Ordinary Differential Equations; Series Solutions of Differential Equations: Special Functions; Boundary-Value Problems and Characteristic-Function Representations; Vector Analysis; Topics in Higher-Dimensional Calculus; Partial Differential Equations; Solutions of Partial Differential Equations of Mathematical Physics; Functions of a Complex Variable; Applications of Analytic Function Theory MARKET: For all readers interested in advanced calculus.
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2013 Reprint of 1949 Edition. Exact facsimile of the original edition, not reproduced with Optical Recognition Software. Francis Begnaud Hildebrand (1915-2002) was an American mathematician. He was a Professor of mathematics at the Massachusetts Institute of Technology (MIT) from 1940 until 1984. Hildebrand was known for his many influential textbooks in mathematics and numerical analysis. The big green textbook from these classes (originally "Advanced Calculus for Engineers," later "Advanced Calculus for Applications") was a fixture in engineers' offices for decades.
"\berall's work in acoustic and electromagnetic scattering has evoked much interest, in the US as well as abroad, because of its possible practical applications, as well as the theoretical understanding. Many collaborators have been inspired by it, and have now contributed to this volume. The book is an excellent contribution to the literature of Acoustics and Wave Propagation. Professor Guran is to be congratulated for organizing and editing this volume." Prof. Hans A Bethe Noble Laureate Cornell University, 1996
With the conclusion of the Civil War, the beginnings of Reconstruction, and the realities of emancipation, former slaves were confronted with the possibility of freedom and, with it, a new way of life. In The Times Were Strange and Stirring, Reginald F. Hildebrand examines the role of the Methodist Church in the process of emancipation—and in shaping a new world at a unique moment in American, African American, and Methodist history. Hildebrand explores the ideas and ideals of missionaries from several branches of Methodism—the African Methodist Episcopal Church, the Colored Methodist Episcopal Church, and the northern-based Methodist Episcopal Church—and the significant and highly cha...
Collects mathematical games that entertain and provide an introduction to advanced study