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Download Mathematical Analysis and Its Inherent Nature FreeCourseWeb Pure and Applied Undergraduate Texts

Download Mathematical Analysis and Its Inherent Nature FreeCourseWeb Pure and Applied Undergraduate Texts
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Title: Mathematical Analysis and Its Inherent Nature
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Mathematical analysis is often referred to as generalized calculus. But it is much more than that. This book has been written in the belief that emphasizing the inherent nature of a mathematical discipline helps students to understand it better

Mathematical analysis is often referred to as generalized calculus. This book has been written in the belief that emphasizing the inherent nature of a mathematical discipline helps students to understand it better. With this in mind, and focusing on the essence of analysis, the text is divided into two parts based on the way they are related to calculus: completion and abstraction

The paper is almost yellowish as if its 30 years old. It completely lacks good illustrative figures and good graphs to help visually grasp this abstract theory.

Series: Pure and Applied Undergraduate Texts (Book 4). Hardcover: 433 pages. Publisher: American Mathematical Society (January 13, 2009). The paper is almost yellowish as if its 30 years old.

Pure and Applied Undergraduate Texts Volume: 25; 2016; 348 pp; Hardcover MSC: Primary 26; 54. .Mathematical Analysis and Its Inherent Nature. Base Product Code Keyword List: amstext; AMSTEXT; amstext/25; AMSTEXT/25; amstext-25; AMSTEXT-25.

Mathematical Analysis and Its Inherent Nature. Print Product Code: AMSTEXT/25. Online Product Code: AMSTEXT/25. Title (HTML): Mathematical Analysis and Its Inherent Nature. Author(s) (Product display): Hossein Hosseini Giv. Affiliation(s) (HTML): University of Sistan and Baluchestan, Zahedan, Iran.

Pure and Applied Undergraduate Texts. This is a text in undergraduate single-variable analysis with metric spaces. The term inherent nature as used in the title refers to what the author calls the essence of the subject.

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Pure mathematics is the study of mathematical concepts independently of any application outside mathematics. These concepts may originate in real-world concerns, and the results obtained may later turn out to be useful for practical applications, but pure mathematicians are not primarily motivated by such applications. Instead, the appeal is attributed to the intellectual challenge and aesthetic beauty of working out the logical consequences of basic principles.

Broadly speaking, pure mathematics is mathematics that studies entirely abstract concepts. Generality can simplify the presentation of material, resulting in shorter proofs or arguments that are easier to follow.

h5-median for a publication is the median number of citations for the articles that make up its h5-index. Abstract and Applied Analysis. 1. Journal für die reine und angewandte Mathematik (Crelles Journal). 35. 44. 2. 31. 49. 3. Advances in Difference Equations.

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September 28, 2016 | ISBN: 978-1470428075 | English | 348 pages | PDF | 8 MB
Mathematical analysis is often referred to as generalized calculus. But it is much more than that. This book has been written in the belief that emphasizing the inherent nature of a mathematical discipline helps students to understand it better. With this in mind, and focusing on the essence of analysis, the text is divided into two parts based on the way they are related to calculus: completion and abstraction. The first part describes those aspects of analysis which complete a corresponding area of calculus theoretically, while the second part concentrates on the way analysis generalizes some aspects of calculus to a more general framework. Presenting the contents in this way has an important advantage: students first learn the most important aspects of analysis on the classical space R and then fill in the gaps of their calculus-based knowledge. Then they proceed to a step-by-step development of an abstract theory, namely, the theory of metric spaces which explores such crucial notions as limit, continuity, and convergence in a wider context. The readers are assumed to have passed courses in one- and several-variable calculus and an elementary course on the foundations of mathematics. A large variety of exercises and the inclusion of informal interpretations of many results and examples will greatly facilitate the reader's study of the subject.
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Mathematical Analysis and Its Inherent Nature FreeCourseWeb Pure and Applied Undergraduate Texts