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A first course in analysis /

Detalles Bibliográficos
Autor principal: Pedrick, George
Formato: Libro
Lenguaje:English
Publicado: New York Berlin : Springer-Verlag, 1994, 1994.
Colección:Undergraduate texts in mathematics
Materias:

MARC

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082 0 0 |a 515  |2 20 
100 1 |a Pedrick, George.  |9 385282 
245 1 2 |a A first course in analysis /  |c George Pedrick. 
260 |a New York   |a Berlin :  |b Springer-Verlag,  |c 1994, 1994. 
300 |a xxi, 278 páginas :  |b ilustraciones ;  |c 24 cm. 
490 0 |a Undergraduate texts in mathematics 
504 |a Incluye bibliografía (páginas 266-267) e índice. 
505 0 |a 4. The elementary functions. 5. Uniformity. The Heine-Borel theorem. 6. Uniform convergence. A nowhere differentiable continuous function. 7. The Weierstrass approximation theorem -- Appendix. A Space-filling continuous curve -- Ch. 4. Differentiation. 1. Differential and derivative. Tangent line. 2. The foundations of differentiation. 3. Curve sketching. The mean-value theorem. 4. Taylor's theorem. 5. Functions defined Implicitly -- Ch. 5. Integration. 1. Definitions. Darboux theorem. 2. Foundations of integral calculus. The fundamental theorem of calculus. 3. The nature of integrability. Lebesgue's theorem. 4. Improper integral. 5. Arclength. Bounded variation -- A word about the Stieltjes integral and measure theory -- Ch. 6. Infinite series. 1. The vibrating string. 2. Convergence: general considerations. 3. Convergence: series of positive terms. 4. Computation with series. 5. Power series. 6. Fourier series. 
650 4 |a Análisis matemático. 
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