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Problems in Real Analysis Advanced Calculus on the Real Axis /

Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategi...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Radulescu, Teodora-Liliana (Autor), Radulescu, Vicentiu D. (Autor), Andreescu, Titu (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Temas:
Acceso en línea:Texto Completo

MARC

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100 1 |a Radulescu, Teodora-Liliana.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Problems in Real Analysis  |h [electronic resource] :  |b Advanced Calculus on the Real Axis /  |c by Teodora-Liliana Radulescu, Vicentiu D. Radulescu, Titu Andreescu. 
250 |a 1st ed. 2009. 
264 1 |a New York, NY :  |b Springer New York :  |b Imprint: Springer,  |c 2009. 
300 |a XX, 452 p. 10 illus.  |b online resource. 
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505 0 |a Sequences, Series, and Limits -- Sequences -- Series -- Limits of Functions -- Qualitative Properties of Continuous and Differentiable Functions -- Continuity -- Differentiability -- Applications to Convex Functions and Optimization -- Convex Functions -- Inequalities and Extremum Problems -- Antiderivatives, Riemann Integrability, and Applications -- Antiderivatives -- Riemann Integrability -- Applications of the Integral Calculus -- Basic Elements of Set Theory. 
520 |a Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis. Key features: *Uses competition-inspired problems as a platform for training typical inventive skills; *Develops basic valuable techniques for solving problems in mathematical analysis on the real axis and provides solid preparation for deeper study of real analysis; *Includes numerous examples and interesting, valuable historical accounts of ideas and methods in analysis; *Offers a systematic path to organizing a natural transition that bridges elementary problem-solving activity to independent exploration of new results and properties. 
650 0 |a Mathematical analysis. 
650 0 |a Functions of real variables. 
650 0 |a Numerical analysis. 
650 0 |a Differential equations. 
650 0 |a Mathematics. 
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650 2 4 |a Real Functions. 
650 2 4 |a Numerical Analysis. 
650 2 4 |a Differential Equations. 
650 2 4 |a Applications of Mathematics. 
700 1 |a Radulescu, Vicentiu D.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Andreescu, Titu.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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