| 书目名称 | Single Variable Differential and Integral Calculus | | 副标题 | Mathematical Analysi | | 编辑 | Elimhan Mahmudov | | 视频video | | | 概述 | Treatment of countable and uncountable sets, the cardinality of the continuum; Dedekind completeness theorem for the set of real numbers.Coverage of polynomials and interpolation, Lagrange and Newton | | 图书封面 |  | | 描述 | The book “Single variable Differential and Integral Calculus” is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineering field. This book is unique in the field of mathematical analysis in content and in style. It aims to define, compare and discusstopics in single variable differential and integral calculus, as well as giving application examples in important business fields. Some elementary concepts such as the power of a set, cardinality, measure theory, measurable functions are introduced. It also covers real and complex numbers, vector spaces, topological properties of sets, series and sequences of functions (including complex-valued functions and functions of a complex variable), polynomials and interpolation and extrema of functions. Although analysis is based on the single variable models and applications, theorems and examples are all set to be converted tomulti variable extensions. For example, Newton, Riemann, Stieltjes and Lebesque integrals are studied together and compared. | | 出版日期 | Textbook 2013 | | 关键词 | Derivative; Interpolation; Lebesgue integral; Measure theory; ordinary differential equations | | 版次 | 1 | | doi | https://doi.org/10.2991/978-94-91216-86-2 | | isbn_softcover | 978-94-6239-040-9 | | isbn_ebook | 978-94-91216-86-2 | | copyright | Atlantis Press 2013 |
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发表于 2025-3-21 17:02:37
