Real analysis [Documento eletrónico] : foundations and functions of one variable / Miklós Laczkovich, Vera T. Sós
Language: eng.Country: US - United States of America.Publication: New York, NY : Springer, 2015Description: X, 483 p.ISBN: 978-1-4939-2766-1.Series: Undergraduate Texts in MathematicsSubject - Topical Name: Análise global (Matemática) Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|---|
E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA297. FCT 96579 (Browse shelf(Opens below)) | 1 | Available |
Browsing Biblioteca NOVA FCT shelves, Shelving location: Online, Collection: Não Ficção Close shelf browser (Hides shelf browser)
QA297. FCT 96427 The analysis and geometry of Hardy's inequality | QA297. FCT 96433 Numerical methods for nonlinear partial differential equations | QA297. FCT 96530 Mean field theories and dual variation , mathematical structures of the mesoscopic model | QA297. FCT 96579 Real analysis, foundations and functions of one variable | QA297. FCT 96722 Understanding analysis | QA297. FCT 96916 Exploiting hidden structure in matrix computations, algorithms and applications, Cetraro, Italy 2015 | QA297. FCT 97016 A fixed-point farrago |
Colocação: Online
Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable - systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the students' mathematical intuition. The modular organization of the book makes it adaptable for either semester or year-long introductory courses, while the wealth of material allows for it to be used at various levels of student sophistication in all programs where analysis is a part of the curriculum, including teachers' education. In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. There are frequent hints and occasional complete solutions provided for the more challenging exercises making it an ideal choice for independent study. The book includes a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a rigorous study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous historical notes and applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of mathematical analysis.
There are no comments on this title.