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En este libro se presentan los siguientes temas:polinomios simétricos, funciones simétricas, relaciones simétricas y módulos de CauchyGrupo de Galois y teoría de ecuaciones de Galoisecuaciones binomiales y teorema fundamentalProblema inverso de Galois y teorema de Ruffini-Abelresoluciones de ecuaciones de segundo, tercer y cuarto grado y monodromía
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This classic on the general history of functions was written by one of the twentieth century's best-known mathematicians. Hermann Weyl, who worked with Einstein at Princeton, combined function theory and geometry in this high-level landmark work, forming a new branch of mathematics and the basis of the modern approach to analysis, geometry, and topology. The author intended this book not only to develop the basic ideas of Riemann's theory of algebraic...
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A caution to mathematics professors: Complex Variables does not follow conventional outlines of course material. One reviewer noting its originality wrote: "A standard text is often preferred [to a superior text like this] because the professor knows the order of topics and the problems, and doesn't really have to pay attention to the text. He can go to class without preparation." Not so here-Dr. Flanigan treats this most important field of contemporary...
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Analytic function theory is a traditional subject going back to Cauchy and Riemann in the 19th century. Once the exclusive province of advanced mathematics students, its applications have proven vital to today's physicists and engineers. In this highly regarded work, Professor John W. Dettman offers a clear, well-organized overview of the subject and various applications - making the often-perplexing study of analytic functions of complex variables...
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This text for undergraduate and graduate students illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Starting with a definition and explanation of the elements of Fourier series, the text follows with examinations of Legendre polynomials and Bessel functions. Boundary value problems consider Fourier series in conjunction with Laplace's equation in an infinite strip and in a rectangle,...
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Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :polynmes et formes symétriquesModules de Cauchy et monodromieÉquations binomiales, du deuxième, du troisième et du quatrième degré.Des premières indications théoriques sont également présentées pour rendre compréhensible le déroulement des exercices.
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En este libro se realizan ejercicios sobre los siguientes temas matemáticos:polinomios y formas simétricasMódulos de Cauchy y monodromíaEcuaciones binomiales de segundo, tercer y cuarto grado.También se presentan sugerencias teóricas iniciales para hacer comprensible la realización de los ejercicios.
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Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :Espaces de Banach et de Hilbertopérations dans les espaces vectorielsMesure et intégrale de Lebesgue.Des premières indications théoriques sont également présentées pour rendre compréhensible le déroulement des exercices.
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Matemática aplicada a los negocios es un libro que sirve de guía y apoyo a los estudiantes del Programa de Estudios Generales que aspiran a seguir una carrera en la Facultad de Ciencias Empresariales y Económicas de la Universidad de Lima.
Los autores, docentes de amplia trayectoria en las aulas universitarias, presentan, a través de sus siete capítulos, los conceptos del análisis matemático de manera intuitiva y didáctica.
El capítulo 1...
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This advanced monograph of semigroup theory explores semigroups of linear operators and linear Cauchy problems. Suitable for graduate students in mathematics as well as professionals in science and engineering, the treatment begins with an introductory survey of the theory and applications of semigroups of operators. Two main sections follow, one dedicated to semigroups of linear operators, and the other to linear Cauchy problems. Author Jerome A....
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The Schwarz lemma is among the simplest results in complex analysis that capture the rigidity of holomorphic functions. This self-contained volume provides a thorough overview of the subject; it assumes no knowledge of intrinsic metrics and aims for the main results, introducing notation, secondary concepts, and techniques as necessary. Suitable for advanced undergraduates and graduate students of mathematics, the two-part treatment covers basic theory...
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This well-known book provides a clear and concise review of general function theory via complex variables. Suitable for undergraduate math majors, the treatment explores only those topics that are simplest but are also most important for the development of the theory. Prerequisites include a knowledge of the foundations of real analysis and of the elements of analytic geometry. The text begins with an introduction to the system of complex numbers...
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This original volume offers a concise, highly focused review of what high school and beginning college students need to know in order to solve problems in logarithms and exponential functions. Numerous rigorously tested examples and coherent to-the-point explanations, presented in an easy-to-follow format, provide valuable tools for conquering this challenging subject. The treatment is organized in a way that permits readers to advance sequentially...
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The plane strain and generalized plane stress boundary value problems of linear elasticity are the focus of this graduate-level text, which formulates and solves these problems by employing complex variable theory. The text presents detailed descriptions of the three basic methods that rely on series representation, Cauchy integral representation, and the solution via continuation. Its five-part treatment covers functions of a complex variable, the...
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This handy guide will take abacus users from beginner to master level in a very short time. Though the Japanese abacus may appear mysterious or even primitive, this intriguing tool is capable of amazing speed and accuracy. it is still widely used throughout the shop and markets of Asia and its popularity shows no sign of decline. This volume is designed for the student desiring a greater understanding of the abacus and its calculative functions. The...
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Rajendra Bhatia is Professor of Mathematics at the Indian Statistical Institute in New Delhi. He is the author of five books, including Matrix Analysis.
This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum...
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"Honorable Mention for the 2016 PROSE Award in Mathematics, Association of American Publishers" Frank A. Farris teaches mathematics at Santa Clara University. He is a former editor of Mathematics Magazine, a publication of the Mathematical Association of America. He lives in San Jose, California.
A step-by-step illustrated introduction to the astounding mathematics of symmetry
This lavishly illustrated book provides a hands-on, step-by-step introduction...
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