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En este libro se realizan ejercicios sobre los siguientes temas matemáticos:derivadas y calculo diferencialaplicaciones geométricas y físicas de las derivadasteoremas notables de cálculo diferencialTambién se presentan indicaciones teóricas iniciales para que se entienda la realización de los ejercicios.
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Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, other topics in lucid presentation. Includes 150 additional problems in this edition. Bibliography.
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Students learn how to read and write proofs by actually reading and writing them, asserts author Joseph J. Rotman, adding that merely reading about mathematics is no substitute for doing mathematics. In addition to teaching how to interpret and construct proofs, Professor Rotman's introductory text imparts other valuable mathematical tools and illustrates the intrinsic beauty and interest of mathematics. Journey into Mathematics offers a coherent...
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English
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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.
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Olivier Druet is Researcher at CNRS, Ecole Normale Supérieure de Lyon. Emmanuel Hebey is Professor at Université de Cergy-Pontoise. Frédéric Robert is Associate Professor at Université de Nice Sophia-Antipolis.
Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis, geometry, and physics. The equations studied here are of the well-known Yamabe...
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En este libro se realizan ejercicios sobre los siguientes temas matemáticos:
Transformada de Fourier
Transformada de Laplace
transformada zeta y transformada discreta
También se presentan indicaciones teóricas iniciales para que se comprenda la realización de los ejercicios.
Author
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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.
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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...
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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.
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English
Description
In this book exercises are carried out regarding the following mathematical topics:exact differential forms and primitivesconservative fields and potentialsremarkable theorems of differential analysisInitial theoretical hints are also presented to make the performance of the exercises understood.
32) Real Analysis
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This text offers upper-level undergraduates and graduate students a survey of practical elements of real function theory, general topology, and functional analysis. Beginning with a brief discussion of proof and definition by mathematical induction, it freely uses these notions and techniques. The maximality principle is introduced early but used sparingly; an appendix provides a more thorough treatment. The notion of convergence is stated in basic...
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English
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Geared toward undergraduate mathematics majors, engineering students, and future high school mathematics teachers, this text offers an understanding of the principles involved in numerical analysis. Its main theme is interpolation from the standpoint of finite differences, least squares theory, and harmonic analysis. Additional considerations include the numerical solutions of ordinary differential equations and approximations through Fourier series....
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A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. The material is largely classical, with particular emphasis on the geometry of complex mappings. Author William A. Veech, the Edgar Odell Lovett Professor of Mathematics at Rice University, presents the Riemann mapping theorem as a special case of an existence theorem for universal covering surfaces....
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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,...
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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
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English
Description
Designed for students familiar with abstract mathematical concepts but possessing little knowledge of physics, this text focuses on generality and careful formulation rather than problem-solving. Its author, a member of the distinguished National Academy of Science, based this graduate-level text on the course he taught at Harvard University. Opening chapters on classical mechanics examine the laws of particle mechanics; generalized coordinates and...
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Français
Description
Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :intégrales de ligne des première et deuxième espècesintégrales de surface et de volumeDes premières indications théoriques sont également présentées pour faire comprendre l'exécution des exercices.
Author
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English
Description
An original, effective approach teaches by explaining worked examples in detail. "Every step in the mathematical process is explained, its purpose and necessity made clear . . . the reader not only has no difficulty in following the rigorous proofs, but even turns to them with eager expectation." - Nuclear Physics. 1981 edition.
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English
Description
Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. Rigorous and carefully presented, the text assumes a year of calculus and features problems at the end of each chapter. 1968 edition.
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