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Introduction to Real Analysis - An Educational Approach
William C. Bauldry
John Wiley & Sons Inc (2009)
Kovakantinen kirja
131,40
Tuotetta lisätty
ostoskoriin kpl
Siirry koriin
Advanced Problem Solving with Maple - A First Course
William P. Fox; William C. Bauldry
Taylor & Francis Ltd (2019)
Kovakantinen kirja
116,30
Tuotetta lisätty
ostoskoriin kpl
Siirry koriin
The Mathematical Contest in Modeling (MCM) Problem Book 1985–2021
William C. Bauldry
Taylor & Francis Ltd (2024)
Kovakantinen kirja
63,20
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ostoskoriin kpl
Siirry koriin
Advanced Problem Solving with Maple - A First Course
William P. Fox; William C. Bauldry
Taylor & Francis Ltd (2023)
Pehmeäkantinen kirja
60,50
Tuotetta lisätty
ostoskoriin kpl
Siirry koriin
Computational Calculus : A Numerical Companion to Elementary Calculus
William C. Bauldry
Springer (2023)
Kovakantinen kirja
40,00
Tuotetta lisätty
ostoskoriin kpl
Siirry koriin
Computational Calculus - A Numerical Companion to Elementary Calculus
William C. Bauldry
Springer International Publishing AG (2024)
Pehmeäkantinen kirja
40,00
Tuotetta lisätty
ostoskoriin kpl
Siirry koriin
Introduction to Real Analysis - An Educational Approach
131,40 €
John Wiley & Sons Inc
Sivumäärä: 280 sivua
Asu: Kovakantinen kirja
Julkaisuvuosi: 2009, 31.07.2009 (lisätietoa)
Kieli: Englanti
An accessible introduction to real analysis and its connection to elementary calculus Bridging the gap between the development and history of real analysis, Introduction to Real Analysis: An Educational Approach presents a comprehensive introduction to real analysis while also offering a survey of the field. With its balance of historical background, key calculus methods, and hands-on applications, this book provides readers with a solid foundation and fundamental understanding of real analysis.

The book begins with an outline of basic calculus, including a close examination of problems illustrating links and potential difficulties. Next, a fluid introduction to real analysis is presented, guiding readers through the basic topology of real numbers, limits, integration, and a series of functions in natural progression. The book moves on to analysis with more rigorous investigations, and the topology of the line is presented along with a discussion of limits and continuity that includes unusual examples in order to direct readers' thinking beyond intuitive reasoning and on to more complex understanding. The dichotomy of pointwise and uniform convergence is then addressed and is followed by differentiation and integration. Riemann-Stieltjes integrals and the Lebesgue measure are also introduced to broaden the presented perspective. The book concludes with a collection of advanced topics that are connected to elementary calculus, such as modeling with logistic functions, numerical quadrature, Fourier series, and special functions.

Detailed appendices outline key definitions and theorems in elementary calculus and also present additional proofs, projects, and sets in real analysis. Each chapter references historical sources on real analysis while also providing proof-oriented exercises and examples that facilitate the development of computational skills. In addition, an extensive bibliography provides additional resources on the topic.

Introduction to Real Analysis: An Educational Approach is an ideal book for upper- undergraduate and graduate-level real analysis courses in the areas of mathematics and education. It is also a valuable reference for educators in the field of applied mathematics.

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Tilaustuote | Arvioimme, että tuote lähetetään meiltä noin 5-6 viikossa | Tilaa jouluksi viimeistään 27.11.2024
Myymäläsaatavuus
Helsinki
Tapiola
Turku
Tampere
Introduction to Real Analysis - An Educational Approachzoom
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ISBN:
9780470371367
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