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Français
Description
Dans ce livre, des exercices sont effectués sur les sujets mathématiques suivants :Systèmes différentiels linéaires 2x2 et 3x3Problèmes de Cauchy liés aux systèmes linéaires à coefficients constantsrecherche et détermination des valeurs propres liées aux systèmes linéairesDes indications théoriques initiales concernant la théorie des matrices sont également présentées pour rendre compréhensible la réalisation des exercices.
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Series
Language
English
Description
Intended to facilitate the use and calculation of spheroidal wave functions, this applications-oriented text features a detailed and unified account of the properties of these functions. Addressed to applied mathematicians, mathematical physicists, and mathematical engineers, it presents tables that provide a convenient means for handling wave problems in spheroidal coordinates. Topics include separation of the scalar wave equation in spheroidal coordinates,...
Author
Language
Español
Description
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.
Author
Language
Español
Description
En este libro se realizan ejercicios sobre los siguientes temas matemáticos:
funciones reales con varias variables
búsqueda de máximos y mínimos restringidos
teoremas notables
También se presentan sugerencias teóricas iniciales para hacer comprensible la realización de los ejercicios.
Author
Series
Language
English
Description
Richard Silverman's new translation makes available to English readers the work of the famous contemporary Russian mathematician N. N. Lebedev. Though extensive treatises on special functions are available, these do not serve the student or the applied mathematician as well as Lebedev's introductory and practically oriented approach. His systematic treatment of the basic theory of the more important special functions and the applications of this theory...
Author
Series
Language
English
Description
Two volumes of a classic 5-volume work in one handy edition. Part I considers general foundations of the theory of functions; Part II stresses special functions and characteristic, important types of functions, selected from single-valued and multiple-valued classes. Demonstrations are full and proofs given in detail. Introduction. Bibliographies.
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Series
Language
English
Description
Mathematician Harald Bohr, motivated by questions about which functions could be represented by a Dirichlet series, devised the theory of almost periodic functions during the 1920s. His groundbreaking work influenced many later mathematicians, who extended the theory in new and diverse directions. In this volume, Bohr focuses on an essential aspect of the theory - the functions of a real variable - in full detail and with complete proofs.The treatment,...
Author
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English
Description
A balanced treatment, this text covers all of the fundamentals, from the real number system and point sets to set theory and metric spaces. Starting with a brief exposition of the ideas and methods of deductive logic, the text proceeds to the postulates of Peano for the natural numbers and outlines a method for constructing the real number system. Subsequent chapters explore functions and their limits, the properties of continuous functions, fundamental...
Author
Language
English
Description
This introduction to functional analysis is based on the lecture notes of Martin Davis, a distinguished professor of mathematics. The treatment demonstrates the essential unity of mathematics without assuming more background than can be expected of advanced undergraduates and graduate students majoring in mathematics. A self-contained exposition of Gelfand's proof of Wiener's theorem, this volume explores set theoretic preliminaries, normed linear...
Author
Language
English
Description
A coherent introduction to the techniques for modeling dynamic stochastic systems, this volume also offers a guide to the mathematical, numerical, and simulation tools of systems analysis. Suitable for advanced undergraduates and graduate-level industrial engineers and management science majors, it proposes modeling systems in terms of their simulation, regardless of whether simulation is employed for analysis. Beginning with a view of the conditions...
Author
Series
Language
English
Description
This volume offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It offers extensive commentary and many examples in addition to an abundance of interesting, challenging exercises. Starting with coverage of the development of the Brower degree and its applications, the text proceeds to examinations of degree mappings for infinite dimensional spaces and surveys of monotone and accretive mappings. Subsequent...
Author
Language
Español
Description
En este libro se presentan los siguientes temas matemáticos:funciones reales con varias variablesfunciones implícitascálculo integral para funciones de varias variablesdesarrollos en series de potencias, series de Taylor y series de Fourieranálisis en el campo complejo
Author
Series
Language
English
Description
This concise volume presents an expository account of the theory of modular forms and its application to number theory and analysis. Suitable for advanced undergraduates and graduate students in mathematics, the treatment starts with classical material and leads gradually to modern developments. Prerequisites include a grasp of the elements of complex variable theory, group theory, and number theory. The opening chapters define modular forms, develop...
Author
Language
English
Description
In this book, exercises are carried out regarding the following mathematical topics:
solving integral equations
solving integral-differential equations
calculus of variations
Initial theoretical hints are also presented to make the conduct of the exercises understandable.
Author
Language
Français
Description
Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants:
Transformée de Fourier
transformation de Laplace
transformée zêta et transformées discrètes
Des premières indications théoriques sont également présentées pour faire comprendre l'exécution des exercices.
Author
Language
English
Description
Hundreds of solved examples, exercises, and applications help students gain a firm understanding of the most important topics in the theory and applications of complex variables. Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, and transform methods. Perfect for undergrads/grad students in science, mathematics, engineering. A three-semester course...
Author
Language
English
Description
Geared toward upper-level undergraduates and graduate students, this text explores the applications of nonstandard analysis without assuming any knowledge of mathematical logic. It develops the key techniques of nonstandard analysis at the outset from a single, powerful construction; then, beginning with a nonstandard construction of the real number system, it leads students through a nonstandard treatment of the basic topics of elementary real analysis,...
Author
Language
English
Description
Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. A chapter on differential geometry introduces readers to the study of this subject by the methods of vector algebra. The next section explores the many aspects of the theory of mechanics adaptable...
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