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Titlebook: Surprises and Counterexamples in Real Function Theory; A. R. Rajwade,A. K. Bhandari Book 2007 Hindustan Book Agency (India) 2007

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书目名称Surprises and Counterexamples in Real Function Theory
编辑A. R. Rajwade,A. K. Bhandari
视频video
丛书名称Texts and Readings in Mathematics
图书封面Titlebook: Surprises and Counterexamples in Real Function Theory;  A. R. Rajwade,A. K. Bhandari Book 2007 Hindustan Book Agency (India) 2007
描述This book presents a variety of intriguing, surprising and appealing topics and nonroutine theorems in real function theory. It is a reference book to which one can turn for finding that arise while studying or teaching analysis.Chapter 1 is an introduction to algebraic, irrational and transcendental numbers and contains the Cantor ternary set. Chapter 2 contains functions with extraordinary properties; functions that are continuous at each point but differentiable at no point. Chapters 4 and intermediate value property, periodic functions, Rolle‘s theorem, Taylor‘s theorem, points of tangents. Chapter 6 discusses sequences and series. It includes the restricted harmonic series, of alternating harmonic series and some number theoretic aspects. In Chapter 7, the infinite peculiar range of convergence is studied. Appendix I deal with some specialized topics. Exercises at the end of chapters and their solutions are provided in Appendix II.This book will be useful for students and teachers alike.
出版日期Book 2007
版次1
doihttps://doi.org/10.1007/978-93-86279-35-4
isbn_ebook978-93-86279-35-4
copyrightHindustan Book Agency (India) 2007
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Texts and Readings in Mathematicshttp://image.papertrans.cn/t/image/882635.jpg
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,Introduction to the real line ℝ and some of its subsets,mbers). We shall denote by ℕ, ℤ, ℚ, ℝ and ℂ, respectively, the sets of natural numbers, integers, rational numbers, real numbers and complex numbers. The sets ℚ, ℝ and ℂ form a field with respect to the usual operations of addition and multiplication.
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Sequences, Harmonic Series, Alternating Series and Related Topics,.}. A sequence is said to converge to a real number ., if for each . > 0, there exists a positive number . (depending on .) such that |.−.|< ., for all . ≥ .; and we write . → .; otherwise it is said to be divergent.
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A. R. Rajwade,A. K. Bhandariocess of selection and transformation where ancient scientific and local traditions and elements. The book explores the issue from a different geopolitical perspective, namely not focusing on a singular recipie978-94-007-3464-7978-90-481-9968-6Series ISSN 0068-0346 Series E-ISSN 2214-7942
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