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|a 9780387773797
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|a 10.1007/978-0-387-77379-7
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|a (DE-He213)978-0-387-77379-7
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|a Radulescu, Teodora-Liliana.
|e author.
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|4 http://id.loc.gov/vocabulary/relators/aut
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|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.
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250 |
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|a 1st ed. 2009.
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264 |
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1 |
|a New York, NY :
|b Springer New York :
|b Imprint: Springer,
|c 2009.
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300 |
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|a XX, 452 p. 10 illus.
|b online resource.
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|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.
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520 |
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|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.
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|a Loaded electronically.
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|a Electronic access restricted to members of the Holy Cross Community.
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650 |
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|a Mathematical analysis.
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650 |
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|a Analysis (Mathematics).
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650 |
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|a Functions of real variables.
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650 |
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|a Numerical analysis.
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650 |
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|a Differential equations.
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650 |
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|a Applied mathematics.
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650 |
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|a Engineering mathematics.
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690 |
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|a Electronic resources (E-books)
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700 |
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|a Radulescu, Vicentiu D.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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700 |
1 |
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|a Andreescu, Titu.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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710 |
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|a SpringerLink (Online service)
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