Applied mathematics and scientific thought

Author(s):  
J. Serrin
2004 ◽  
pp. 107-117 ◽  
Author(s):  
V. Tarasevich

The general scientific context of evolution of fundamental economic science is considered in the article. Possible changes of the status of economics as one of the universum spheres, shifts in fundamental economic science, its subject, object, subject space and methodical toolkit in connection with priority development of a post-nonclassical paradigm of scientific thought are analyzed.


2019 ◽  
Vol 10 (5) ◽  
pp. 473-478
Author(s):  
Ahmad Gashamoglu ◽  

The Article briefly discusses the need for generation of the Science of Ahangyol, and this science’s scientific basis, object and subject, category system, scientific research methods and application options. Ahangyol is a universal science and may be useful in any sphere. It may assist in problem solving in peacemaking process and in many areas such as ecology, economics, politics, culture, management and etc. This science stipulates that any activity and any decision made in the life may only and solely be successful when they comply with harmony principles more, which are the principles of existence and activity of the world. A right strategic approach of the Eastern Philosophy and the Middle Age Islamic Philosophy and scientific thought has an important potential. This strategic approach creates opportunities to also consider irrational factors in addition to rational ones comprehensively in scientific researches. The modern scientific thought contributes to implementation of these opportunities. Ahangyol is a science of determination of ways to achieve harmony in any sphere and of creation of special methods to make progress in these ways through assistance of the modern science. Methods of the System Theory, Mathematics, IT, Astronomy, Physics, Biology, Sociology, Statistics and etc. are more extensively applied. Information is given on some of these methods. Moreover, the Science of Ahangyol, which is a new philosophical worldview and a new paradigm contributes to clarification of metaphysic views considerably and discovery of the scientific potential of religious books.


Author(s):  
Leiba Rodman

Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations. Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used.


2002 ◽  
Vol 19 (2) ◽  
pp. 1-33 ◽  
Author(s):  
Zafar Iqbal

This paper compares the Islamic and the western social scien­tific perspectives on corruption. Jt is argued that the emerging shift in social scientific thought in viewing corruption from "grease that oils the economic wheel" to a "menace that under­mines economic growth" has brought rational understanding of the phenomenon much closer to [slamic doctrine. Where they differ is with respect to remedial action. The western approach focuses on governance and designing appropriate systems and institutions that gear information and incentives toward minimiz­ing opportunities and enticement for corruption. In short, it emphasizes constraints external to the individual. By comparison, Islam seeks to go beyond such constraints, and also instill in believers a clear "second-order" preference for non­corrupt behavior. lt recommends developing a firm belief in transcendent accountability, stresses character building through practicing moral virtues and shunning vices. In essence, much of the restraint comes from within through a moral renovation. rt is our contention that both emphases are important in eliminating corruption and that the followers oflslam and the West can learn from one another.


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