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A course in analysis. Niels Jacob; Kristian P EvansVolume II, Differentiation and integration of functions of several variables, vector calculus /
New Jersey : World Scientific, 2016
xx, 768 pages. : illustrations ; 26 cm.
Ký hiệu phân loại (DDC): 515
This is the second volume of "A Course in Analysis" and it is devoted to the study of mappings between subsets of Euclidean spaces. The metric, hence the topological structure is discussed as well as the continuity of mappings. This is followed by introducing partial derivatives of real-valued functions and the differential of mappings. Many chapters deal with applications, in particular to geometry (parametric curves and surfaces, convexity), but topics such as extreme values and Lagrange multipliers, or curvilinear coordinates are considered too. On the more abstract side results such as the Stone–Weierstrass theorem or the Arzela–Ascoli theorem are proved in detail. The first part ends with a rigorous treatment of line integrals. The second part handles iterated and volume integrals for real-valued functions. Here we develop the Riemann (–Darboux–Jordan) theory. A whole chapter is devoted to boundaries and Jordan measurability of domains. We also handle in detail improper integrals and give some of their applications. The final part of this volume takes up a first discussion of vector calculus. Here we present a working mathematician's version of Green's, Gauss' and Stokes' theorem. Again some emphasis is given to applications, for example to the study of partial differential equations. At the same time we prepare the student to understand why these theorems and related objects such as surface integrals demand a much more advanced theory which we will develop in later volumes. This volume offers more than 260 problems solved in complete detail which should be of great benefit to every serious student.
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The Impact of Corporate Social Responsibility on Strategic Objectives: Evidence from Vietnam / Tran Nguyen Hop Chau, Tran Ngoc Mai, Nguyen Thi Thanh Tan..[và những người khác] // Tạp chí Kinh tế và Kinh doanh : JABES . - 2022. - tr. 16-27. - ISSN: 2734-9845
Ký hiệu phân loại (DDC): 370
Carrying out corporate social responsibility (CSR) not only brings benefits to the community but also benefits the business itself. There are many studies on the application of CSR in business strategies to create competitive advantages and sustainable development. However, CSR is still a new term in Vietnam, and the concept has various definitions and most studies are mainly theory-based with limited research on the real situation of CSR practices, especially in the case of FDI firms. Therefore, this study aims to investigate the impact of CSR implementation on corporate strategic goals, including reputation, innovation and differentiation of FDI firms in Vietnam. This study uses regression models to analyze survey data of 224 FDI enterprises in Hanoi, the capital of Vietnam. The empirical results indicated that implementing CSR significantly impacts improving the efficiency of deploying three business strategic goals: enhancing reputation, enhancing innovation, and creating a competitive advantage. The findings of this study suggest that FDI enterprises in Vietnam need to renew their perspectives and approaches to integrate and implement CSR, not only seeing CSR as a costly obligation or merely charitable activities, but truly an opportunity to create competitive advantages and sustainable development
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