Yuri Yatsenko – författare

This book covers a wide range of topics within mathematical modelling and the optimization of economic, demographic, technological and environmental phenomena. Each chapter is written by experts in their field and represents new advances in modelling theory and practice. These essays are exemplary of the fruitful interaction between theory and practice when exploring global and local changes. The unifying theme of the book is the use of mathematical models and optimization methods to describe age-structured populations in economy, demography, technological change, and the environment. Emphasis is placed on deterministic dynamic models that take age or size structures, delay effects, and non-standard decision variables into account. In addition, the contributions deal with the age structure of assets, resources, and populations under study. Interdisciplinary modelling has enormous potential for discovering new insights in global and regional development. Optimal Control of Age-structured Populations in Economy, Demography, and the Environment is a rich and excellent source of information on state-of-the-art modelling expertise and references. The book provides the necessary mathematical background for readers from different areas, such as applied sciences, management sciences and operations research, which helps guide the development of practical models. As well as this the book also surveys the current practice in applied modelling and looks at new research areas for a general mathematical audience. This book will be of interest primarily to researchers, postgraduate students, as well as a wider scientific community, including those focussing on the subjects of applied mathematics, environmental sciences, economics, demography, management, and operations research.

This book covers a wide range of topics within mathematical modelling and the optimization of economic, demographic, technological and environmental phenomena. Each chapter is written by experts in their field and represents new advances in modelling theory and practice. These essays are exemplary of the fruitful interaction between theory and practice when exploring global and local changes. The unifying theme of the book is the use of mathematical models and optimization methods to describe age-structured populations in economy, demography, technological change, and the environment. Emphasis is placed on deterministic dynamic models that take age or size structures, delay effects, and non-standard decision variables into account. In addition, the contributions deal with the age structure of assets, resources, and populations under study. Interdisciplinary modelling has enormous potential for discovering new insights in global and regional development. Optimal Control of Age-structured Populations in Economy, Demography, and the Environment is a rich and excellent source of information on state-of-the-art modelling expertise and references. The book provides the necessary mathematical background for readers from different areas, such as applied sciences, management sciences and operations research, which helps guide the development of practical models. As well as this the book also surveys the current practice in applied modelling and looks at new research areas for a general mathematical audience. This book will be of interest primarily to researchers, postgraduate students, as well as a wider scientific community, including those focussing on the subjects of applied mathematics, environmental sciences, economics, demography, management, and operations research.

The main purpose of this captivating book is to help instructors in popularizing mathematics and other subjects by considering them in a unique multidisciplinary way. This integrative technique contributes to innovative teaching strategies to improving students’ critical and problem-solving skills and broadening their scientific vision and interdisciplinary knowledge.The authors motivate the simultaneous learning of mathematics and social studies by telling the story of the United States of America in an original, mathematically oriented way. The readers will discover practical reasoning behind mathematical concepts.This fascinating book exposes students to a novel educational strategy that aims to overcome fear of mathematics, reduce mathematical anxiety, and show the applicability of mathematics to everyday life and events. It is unique among mathematical books in its devotion to present facts and stories from the country’s heritage.The collection of 325 informative problems is designed to fit any abilities, background, and taste. Their solution requires only basic knowledge of algebra.

The main purpose of this captivating book is to help instructors in popularizing mathematics and other subjects by considering them in a unique multidisciplinary way. This integrative technique contributes to innovative teaching strategies to improving students’ critical and problem-solving skills and broadening their scientific vision and interdisciplinary knowledge.The authors motivate the simultaneous learning of mathematics and social studies by telling the story of the United States of America in an original, mathematically oriented way. The readers will discover practical reasoning behind mathematical concepts.This fascinating book exposes students to a novel educational strategy that aims to overcome fear of mathematics, reduce mathematical anxiety, and show the applicability of mathematics to everyday life and events. It is unique among mathematical books in its devotion to present facts and stories from the country’s heritage.The collection of 325 informative problems is designed to fit any abilities, background, and taste. Their solution requires only basic knowledge of algebra.

Hundreds of meticulously crafted mathematical problems and puzzles in this book are incorporated into fascinating stories about our world. These wor(l)d problems are grouped by their mathematical concepts such that the titles of sections and chapters combine both mathematical and applied terms, hinting at the topics covered. Detailed solutions conclude each section. Following in the success of the authors’ previous book, USA Through the Lens of Mathematics, this text contributes to the novel pedagogical call for a more multidisciplinary approach in education. The various types of questions posed in The World through the Lens of Mathematics are stimulating, entertaining, and educational. Their main objective is to provide a thorough review of the fundamental concepts of algebra and geometry, reduce mathematical anxiety, and emphasize the applicability and versatility of mathematics. Working these problems shatters the barriers between the students and mathematics by encouraging them to look at the subject from a different perspective. Students are simultaneously enriched with new knowledge of historical events, customs, and geography of countries around the world, each one of which is mentioned throughout the pages of this book.

Hundreds of meticulously crafted mathematical problems and puzzles in this book are incorporated into fascinating stories about our world. These wor(l)d problems are grouped by their mathematical concepts such that the titles of sections and chapters combine both mathematical and applied terms, hinting at the topics covered. Detailed solutions conclude each section. Following in the success of the authors’ previous book, USA Through the Lens of Mathematics, this text contributes to the novel pedagogical call for a more multidisciplinary approach in education. The various types of questions posed in The World through the Lens of Mathematics are stimulating, entertaining, and educational. Their main objective is to provide a thorough review of the fundamental concepts of algebra and geometry, reduce mathematical anxiety, and emphasize the applicability and versatility of mathematics. Working these problems shatters the barriers between the students and mathematics by encouraging them to look at the subject from a different perspective. Students are simultaneously enriched with new knowledge of historical events, customs, and geography of countries around the world, each one of which is mentioned throughout the pages of this book.

Modern economic growth is characterized by structural changes based on the introduction of new technologies into economics. The replacement and renova­ tion of technologies in industrial environments undergoing technical change is clearly one of the key aspects of economic development. The mathematical modeling of evolutionary economics under technical change (TC) has been rigorously considered by many authors during last decades. There is a wide variety of economic approaches and models describing different aspects of technical change. Among these are the models of embodied technical progress [19], [35], [70], [129], endogenous growth models [94], [102], the models of technological innovations [31], [32], [41], and others. The perspective self­ organization evolutionary approach is developed in [20], [38], [122], [123], [124], [126], which unites the aspects of diffusion of new technologies, technological and behavioral diversity of firms, learning mechanisms, age-dependent effects, and other important features of real-life economics. On the whole, an interest in evolutionary economics has brought considerable progress in the description and conceptualization of the sources, characteristics, direction and effects of technical change [125]. However, the modeling and control of technology lifetime under technical change has received rather little attention in mathematical economics in con­ trary to other aspects of technical progress. The lifetime of technologies has rarely been formally treated as a part of more general mathematical theory of economic dynamics. A problem which is still to be resolved consists in establishing the rational strategies of technologies' replacement under various assumptions on the behavior of technical change.

Chapters are essentially self-contained and may be covered in full, in part, and in any order.Appropriate one- and two-semester courses include, but are not limited to, Applied Mathematical Modeling, Mathematical Methods in Economics and Environment, Models of Biological Systems, Applied Optimization Models, and Environmental Models.