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The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.
Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a ‘secret weapon’ by those who know the technique. This book illuminates the subject with some of the most striking applications in analysis, topology, functional analysis, probability and stochastic analysis, as well as applications in economics and combinatorial number theory. The first chapter is designed to facilitate the beginner in learning this technique by starting with calculus and basic real analysis. The second chapter provides the reader with the most important tools of nonstandard analysis: the transfer principle, Keisler’s internal definition principle, the spill-over principle, and saturation. The remaining chapters of the book study different fields for applications; each begins with a gentle introduction before then exploring solutions to open problems. All chapters within this second edition have been reworked and updated, with several completely new chapters on compactifications and number theory. Nonstandard Analysis for the Working Mathematician will be accessible to both experts and non-experts, and will ultimately provide many new and helpful insights into the enterprise of mathematics.
The progress of society can only happen through interpersonal cooperation, because only cooperation can bring about mutual benefit, thus bringing happiness to each person. This should be our collective rationality, but we often see it conflicts with individual interests, which leads to the so-called "Prisoners’ Dilemma" and does not bring happiness to all. From a game theoretical perspective, this book addresses the issue of how people can cooperate better. It has two objectives. The first is to use common language to systematically introduce the basic methodologies and core conclusions of Game Theory, including the Nash equilibrium, multiple equilibriums, dynamic games, etc. Mathematics and theoretical models are used to the minimum necessary scope too, to make this book get access to ordinary readers with elementary mathematical training. The second objective is to utilize these methods and conclusions to analyze various Chinese social issues and institutional arrangements, with a focus on the reasons people exhibit non-cooperative behaviors as well as the institutions and cultures that promote interpersonal cooperation. In addition to economics, specialists in sociology, law, history, politics and management will also be attracted by this book for its insightful analysis on the issue of cooperation in these fields. Also, readers curious about Chinese society will benefit from this book.
Sporttheorie, Tagungen, Sportsoziologie, Gesundheit.
Both natural and cultural selection played an important role in shaping human evolution. Since cultural change can itself be regarded as evolutionary, a process of gene-culture coevolution is operative. The study of human evolution - in past, present and future - is therefore not restricted to biology. An inclusive comprehension of human evolution relies on integrating insights about cultural, economic and technological evolution with relevant elements of evolutionary biology. In addition, proximate causes and effects of cultures need to be added to the picture - issues which are at the forefront of social sciences like anthropology, economics, geography and innovation studies. This book highlights discussions on the many topics to which such generalised evolutionary thought has been applied: the arts, the brain, climate change, cooking, criminality, environmental problems, futurism, gender issues, group processes, humour, industrial dynamics, institutions, languages, medicine, music, psychology, public policy, religion, sex, sociality and sports.
Enhance your decision-making skills with the comprehensive e-Book 'Quantitative Techniques for Decision Making' designed for MBA II Semester students at Anna University, Chennai. Published by Thakur Publications, this invaluable resource equips you with the essential quantitative tools and techniques needed to analyze data, make informed decisions, and achieve business success. Accessible and practical, this e-Book is your guide to mastering quantitative techniques and their application in real-world scenarios. Elevate your decision-making process and excel in your MBA studies with this trusted resource.