Introduction to Calculus and Classical Analysis [recurso electrónico] / by Omar Hijab.

Por: Hijab, Omar [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: TextoTextoSeries Undergraduate Texts in MathematicsEditor: New York, NY : Springer New York, 2011Edición: 3Descripción: XII, 364 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9781441994882Tema(s): Mathematics | Sequences (Mathematics) | Functions, special | Combinatorics | Mathematics | Approximations and Expansions | Sequences, Series, Summability | Special Functions | CombinatoricsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 511.4 Clasificación LoC:QA401-425Recursos en línea: Libro electrónicoTexto
Contenidos:
Preface -- 1 The Set of Real Numbers -- 2 Continuity -- 3 Differentiation -- 4 Integration -- 5 Applications -- A Solutions -- References -- Index.
En: Springer eBooksResumen: This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third edition includes corrections as well as some additional material. Some features of the text: * The text is completely self-contained and starts with the real number axioms; * The integral is defined as the area under the graph, while the area is defined for every subset of the plane; * There is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero; * There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more; * Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals; * There are 385 problems with all the solutions at the back of the text. Review from the first edition: "This is a very intriguing, decidedly unusual, and very satisfying treatment of calculus and introductory analysis. It's full of quirky little approaches to standard topics that make one wonder over and over again, 'Why is it never done like this?'" -John Allen Paulos, author of Innumeracy and A Mathematician Reads the Newspaper
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Existencias
Tipo de ítem Biblioteca actual Colección Signatura Copia número Estado Fecha de vencimiento Código de barras
Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos QA401 -425 (Browse shelf(Abre debajo)) 1 No para préstamo 372239-2001

Preface -- 1 The Set of Real Numbers -- 2 Continuity -- 3 Differentiation -- 4 Integration -- 5 Applications -- A Solutions -- References -- Index.

This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third edition includes corrections as well as some additional material. Some features of the text: * The text is completely self-contained and starts with the real number axioms; * The integral is defined as the area under the graph, while the area is defined for every subset of the plane; * There is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero; * There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more; * Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals; * There are 385 problems with all the solutions at the back of the text. Review from the first edition: "This is a very intriguing, decidedly unusual, and very satisfying treatment of calculus and introductory analysis. It's full of quirky little approaches to standard topics that make one wonder over and over again, 'Why is it never done like this?'" -John Allen Paulos, author of Innumeracy and A Mathematician Reads the Newspaper

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