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Examples and theorems in analysis | |||||
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Autor: Walker, Peter AnotaceExamples and Theorems in Analysis takes a unique and very practical approach to mathematical analysis. It makes the subject more accessible by giving the examples equal status with the theorems. The results are introduced and motivated by reference to examples which illustrate their use, and further examples then show how far the assumptions may be relaxed before the result fails. The contents cover: sequences, functions and continuity, differentiation, constructive integration, improper integrals, series, applications. A number of applications show what the subject is about; the applications in Fourier theory, distributions and asymptotics show how the results may be put to use. Exercises at the end of each chapter, of varying levels of difficulty, develop new ideas and present open problems. Although written primarily for first- and second-year undergraduates in mathematics, this book is an entertaining and stimulating companion that will also appeal to students of statistics, computer science and engineering. Dostupné zdroje
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