Introduction to Mathematical Analysis

The book begins at an undergraduate student level, assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, the Lebesgue integral, vector calculus and differential equations. After having created a solid foundation of topolog...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Kriz, Igor (Autor), Pultr, Aleš (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
Edición:1st ed. 2013.
Temas:
Functions of real variables.
Algebras, Linear.
Measure theory.
Functions of complex variables.
Differential equations.
Sequences (Mathematics).
Real Functions.
Linear Algebra.
Measure and Integration.
Functions of a Complex Variable.
Differential Equations.
Sequences, Series, Summability.
Acceso en línea:Texto Completo
Descripción
Sumario:The book begins at an undergraduate student level, assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, the Lebesgue integral, vector calculus and differential equations. After having created a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differential geometry and even functional analysis. Overall, this text provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis as understood by mathematicians today.
Descripción Física:XX, 510 p. 1 illus. in color. online resource.
ISBN:9783034806367

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