Mathematical Modelling In Economics

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Mathematical Modeling in Economics, Ecology and the Environment

Author : N.V. Hritonenko
Publisher : Springer Science & Business Media
ISBN 13 : 1441997334
Total Pages : 225 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Mathematical Modeling in Economics, Ecology and the Environment by : N.V. Hritonenko

Download or read book Mathematical Modeling in Economics, Ecology and the Environment written by N.V. Hritonenko and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problems of interrelation between human economics and natural environment include scientific, technical, economic, demographic, social, political and other aspects that are studied by scientists of many specialities. One of the important aspects in scientific study of environmental and ecological problems is the development of mathematical and computer tools for rational management of economics and environment. This book introduces a wide range of mathematical models in economics, ecology and environmental sciences to a general mathematical audience with no in-depth experience in this specific area. Areas covered are: controlled economic growth and technological development, world dynamics, environmental impact, resource extraction, air and water pollution propagation, ecological population dynamics and exploitation. A variety of known models are considered, from classical ones (Cobb Douglass production function, Leontief input-output analysis, Solow models of economic dynamics, Verhulst-Pearl and Lotka-Volterra models of population dynamics, and others) to the models of world dynamics and the models of water contamination propagation used after Chemobyl nuclear catastrophe. Special attention is given to modelling of hierarchical regional economic-ecological interaction and technological change in the context of environmental impact. Xlll XIV Construction of Mathematical Models ...

Mathematical Modeling in Economics and Finance: Probability, Stochastic Processes, and Differential Equations

Author : Steven R. Dunbar
Publisher : American Mathematical Soc.
ISBN 13 : 1470448394
Total Pages : 232 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematical Modeling in Economics and Finance: Probability, Stochastic Processes, and Differential Equations by : Steven R. Dunbar

Download or read book Mathematical Modeling in Economics and Finance: Probability, Stochastic Processes, and Differential Equations written by Steven R. Dunbar and published by American Mathematical Soc.. This book was released on 2019-04-03 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modeling in Economics and Finance is designed as a textbook for an upper-division course on modeling in the economic sciences. The emphasis throughout is on the modeling process including post-modeling analysis and criticism. It is a textbook on modeling that happens to focus on financial instruments for the management of economic risk. The book combines a study of mathematical modeling with exposure to the tools of probability theory, difference and differential equations, numerical simulation, data analysis, and mathematical analysis. Students taking a course from Mathematical Modeling in Economics and Finance will come to understand some basic stochastic processes and the solutions to stochastic differential equations. They will understand how to use those tools to model the management of financial risk. They will gain a deep appreciation for the modeling process and learn methods of testing and evaluation driven by data. The reader of this book will be successfully positioned for an entry-level position in the financial services industry or for beginning graduate study in finance, economics, or actuarial science. The exposition in Mathematical Modeling in Economics and Finance is crystal clear and very student-friendly. The many exercises are extremely well designed. Steven Dunbar is Professor Emeritus of Mathematics at the University of Nebraska and he has won both university-wide and MAA prizes for extraordinary teaching. Dunbar served as Director of the MAA's American Mathematics Competitions from 2004 until 2015. His ability to communicate mathematics is on full display in this approachable, innovative text.

Mathematical Methods and Models for Economists

Author : Angel de la Fuente
Publisher : Cambridge University Press
ISBN 13 : 9780521585293
Total Pages : 630 pages
Book Rating : 4.5/5 (852 download)

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Book Synopsis Mathematical Methods and Models for Economists by : Angel de la Fuente

Download or read book Mathematical Methods and Models for Economists written by Angel de la Fuente and published by Cambridge University Press. This book was released on 2000-01-28 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.

Aspects of Mathematical Modelling

Author : Roger J. Hosking
Publisher : Springer Science & Business Media
ISBN 13 : 376438591X
Total Pages : 373 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Aspects of Mathematical Modelling by : Roger J. Hosking

Download or read book Aspects of Mathematical Modelling written by Roger J. Hosking and published by Springer Science & Business Media. This book was released on 2008-03-02 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.

Mathematics for Economics and Finance

Author : Martin Anthony
Publisher : Cambridge University Press
ISBN 13 : 1139643266
Total Pages : pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Mathematics for Economics and Finance by : Martin Anthony

Download or read book Mathematics for Economics and Finance written by Martin Anthony and published by Cambridge University Press. This book was released on 1996-07-13 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.

Mathematical Modelling in Economics

Author : W. Erwin Diewert
Publisher : Springer Verlag
ISBN 13 : 9783642785108
Total Pages : 713 pages
Book Rating : 4.7/5 (851 download)

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Book Synopsis Mathematical Modelling in Economics by : W. Erwin Diewert

Download or read book Mathematical Modelling in Economics written by W. Erwin Diewert and published by Springer Verlag. This book was released on 2012-07-31 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of more than sixty papers on mathematical economics. All papers use a model-based approach. The focus of the book is to demonstrate the state-of-the-art in modelling and research in important areas of economic theory. It is divided into four parts: Part I: Economics; Part II: Operations Research and Models of the Firm; Part III: Risk, Insurance, and Statistics; Part IV: Policy and Methodology. The papers are written by international experts who have dedicated their contributions to Wolfgang Eichhorn on the occasion of his 60th birthday. Researchers as well as graduate students interested in mathematical modelling in economics will find this book a rich source of interesting and novel results.

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

Author : Giovanni Naldi
Publisher : Springer Science & Business Media
ISBN 13 : 0817649468
Total Pages : 437 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences by : Giovanni Naldi

Download or read book Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences written by Giovanni Naldi and published by Springer Science & Business Media. This book was released on 2010-08-12 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.

Mathematical Modelling

Author : C Haines
Publisher : Elsevier
ISBN 13 : 0857099418
Total Pages : 511 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Mathematical Modelling by : C Haines

Download or read book Mathematical Modelling written by C Haines and published by Elsevier. This book was released on 2007-08-01 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book continues the ICTMA tradition of influencing teaching and learning in the application of mathematical modelling. Each chapter shows how real life problems can be discussed during university lectures, in school classrooms and industrial research. International experts contribute their knowledge and experience by providing analysis, insight and comment whilst tackling large and complex problems by applying mathematical modelling. This book covers the proceedings from the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications. Covers the proceedings from the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications Continues the ICTMA tradition of influencing teaching and learning in the application of mathematical modelling Shows how real life problems can be discussed during university lectures, in school classrooms and industrial research

Mathematical Methods in Dynamic Economics

Author : A. Simonovits
Publisher : Springer
ISBN 13 : 0230513530
Total Pages : 318 pages
Book Rating : 4.2/5 (35 download)

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Book Synopsis Mathematical Methods in Dynamic Economics by : A. Simonovits

Download or read book Mathematical Methods in Dynamic Economics written by A. Simonovits and published by Springer. This book was released on 2000-06-05 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a concise description of important mathematical methods of dynamics and suitable economic models. It covers discrete as well as continuous-time systems, linear and nonlinear models. Mixing traditional and modern materials, the study covers dynamics with and without optimization, naive and rational expectations, respectively. In addition to standard models of growth and cycles, the book also contains original studies on control of a multisector economy and expectations-driven multicohort economy. Numerous examples, problems (with solutions) and figures complete the book.

Foundations of Mathematical Economics

Author : Michael Carter
Publisher : MIT Press
ISBN 13 : 9780262531924
Total Pages : 678 pages
Book Rating : 4.5/5 (319 download)

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Book Synopsis Foundations of Mathematical Economics by : Michael Carter

Download or read book Foundations of Mathematical Economics written by Michael Carter and published by MIT Press. This book was released on 2001-10-26 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.

Mathematical Economics

Author : Kam Yu
Publisher : Springer Nature
ISBN 13 : 3030272893
Total Pages : 214 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Mathematical Economics by : Kam Yu

Download or read book Mathematical Economics written by Kam Yu and published by Springer Nature. This book was released on 2019-11-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a one-semester introduction to mathematical economics for first year graduate and senior undergraduate students. Intended to fill the gap between typical liberal arts curriculum and the rigorous mathematical modeling of graduate study in economics, this text provides a concise introduction to the mathematics needed for core microeconomics, macroeconomics, and econometrics courses. Chapters 1 through 5 builds students’ skills in formal proof, axiomatic treatment of linear algebra, and elementary vector differentiation. Chapters 6 and 7 present the basic tools needed for microeconomic analysis. Chapter 8 provides a quick introduction to (or review of) probability theory. Chapter 9 introduces dynamic modeling, applicable in advanced macroeconomics courses. The materials assume prerequisites in undergraduate calculus and linear algebra. Each chapter includes in-text exercises and a solutions manual, making this text ideal for self-study.

Mathematical Methods and Models in Economic Planning, Management and Budgeting

Author : Galimkair Mutanov
Publisher : Springer
ISBN 13 : 3662451425
Total Pages : 364 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Mathematical Methods and Models in Economic Planning, Management and Budgeting by : Galimkair Mutanov

Download or read book Mathematical Methods and Models in Economic Planning, Management and Budgeting written by Galimkair Mutanov and published by Springer. This book was released on 2014-11-04 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a system of mathematical models and methods that can be used to analyze real economic and managerial decisions and to improve their effectiveness. Application areas include: management of development and operation budgets, assessment and management of economic systems using an energy entropy approach, equation of exchange rates and forecasting foreign exchange operations, evaluation of innovative projects, monitoring of governmental programs, risk management of investment processes, decisions on the allocation of resources, and identification of competitive industrial clusters. The proposed methods and models were tested on the example of Kazakhstan’s economy, but the generated solutions will be useful for applications at other levels and in other countries. Regarding your book "Mathematical Methods and Models in Economics", I am impressed because now it is time when "econometrics" is becoming more appreciated by economists and by schools that are the hosts or employers of modern economists. ... Your presented results really impressed me. John F. Nash, Jr., Princeton University, Nobel Memorial Prize in Economic Sciences The book is within my scope of interest because of its novelty and practicality. First, there is a need for realistic modeling of complex systems, both natural and artificial that conclude computer and economic systems. There has been an ongoing effort in developing models dealing with complexity and incomplete knowledge. Consequently, it is clear to recognize the contribution of Mutanov to encapsulate economic modeling with emphasis on budgeting and innovation. Secondly, the method proposed by Mutanov has been verified by applying to the case of the Republic of Kazakhstan, with her vibrant emerging economy. Thirdly, Chapter 5 of the book is of particular interest for the computer technology community because it deals with innovation. In summary, the book of Mutanov should become one of the outstanding recognized pragmatic guides for dealing with innovative systems. Andrzej Rucinski, University of New Hampshire This book is unique in its theoretical findings and practical applicability. The book is an illuminating study based on an applied mathematical model which uses methods such as linear programming and input-output analysis. Moreover, this work demonstrates the author’s great insight and academic brilliance in the fields of finance, technological innovations and marketing vis-à-vis the market economy. From both theoretical and practical standpoint, this work is indeed a great achievement. Yeon Cheon Oh, President of Seoul National University

Mathematics and Methodology for Economics

Author : Wolfgang Eichhorn
Publisher : Springer
ISBN 13 : 331923353X
Total Pages : 630 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Mathematics and Methodology for Economics by : Wolfgang Eichhorn

Download or read book Mathematics and Methodology for Economics written by Wolfgang Eichhorn and published by Springer. This book was released on 2016-02-11 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book about mathematics and methodology for economics is the result of the lifelong experience of the authors. It is written for university students as well as for students of applied sciences. This self-contained book does not assume any previous knowledge of high school mathematics and helps understanding the basics of economic theory-building. Starting from set theory it thoroughly discusses linear and non-linear functions, differential equations, difference equations, and all necessary theoretical constructs for building sound economic models. The authors also present a solid introduction to linear optimisation and game theory using production systems. A detailed discussion on market equilibrium, in particular on Nash Equilibrium, and on non-linear optimisation is also provided. Throughout the book the student is well supplied with numerous examples, some 2000 problems and their solutions to apply the knowledge to economic theories and models.

Mathematical Models of Economic Growth and Crises

Author : Alexei Krouglov
Publisher : Nova Science Publishers
ISBN 13 : 9781536120448
Total Pages : 0 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis Mathematical Models of Economic Growth and Crises by : Alexei Krouglov

Download or read book Mathematical Models of Economic Growth and Crises written by Alexei Krouglov and published by Nova Science Publishers. This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this book is to present coherent mathematical models to describe an economic growth and related economic issues. The book is a continuation of the authors previous book Mathematical Dynamics of Economic Markets (9781594545283), which presented mathematical models of economic forces acting on the markets. In his previous book, the author described a system of ordinary differential equations, which connected together economic forces behind the products demand, supply and prices on the market. The author focuses on a specific aspect of how to modify the said system of ordinary differential equations, in order to describe the phenomenon of economic growth. In order to achieve clarity, the author restricted himself to economic processes arising on the markets of a single-product economy. Economic growth is presented as a result of savings and investment occurring on the markets. The markets participants withdraw part of the product from markets in the form of savings and use the withdrawn product in production in the form of an investment. The withdrawal drives the products supply on the market down while at the same time driving the products price up, which in turn drives the products demand down. When an impact of the products price increase exceeds an impact of the products demand decrease, economic growth occurs. Contrarily, one observes an economic decline in the opposite situation. The author looks into various aspects that savings and investment exert on the market. He in particular discusses the models that examine an economic growth in situations when savings and investment were done in the form of a one-time withdrawal of the product, constant-rate withdrawal of product, constant-accelerated withdrawal of product, and exponential withdrawal of product from the market. The author further examines an impact of four economic concepts on economic growth -- demand, supply, investment, and debt. He presents mathematical models exploring interconnections among these concepts and studies their mutual impacts on both economic growth and decline. He builds a mathematical model in order to verify a hypothesis that weak recovery after the financial crisis could be attributed to the decline of investments that were not compensated by the decrease of an interest rate. The author also looks into the phenomenon of economic crises and builds a few mathematical models. The models of four economic crises are considered. The first model concerns the last financial crisis where an author tried to explain how relatively small disturbances on financial markets had produced a large impact on the real economy. His conclusion is that fluctuations on connected markets amplify each other, which is known as the resonance phenomenon. The second model relates to the monetary part of Japanese economic policy known as Abenomics, where the price of Japanese bonds decreases and the yield increases. The author builds a mathematical model to investigate this phenomenon. The third model is about a secular stagnation hypothesis advanced by Lawrence Summers. The author complements his model of economic growth with the external supply of product to the market. He found that external supply provided with either constant rate or constant acceleration can cause a restricted or unrestricted economic decline, respectively. The fourth model is a model describing the four stages of the Greek economic crisis (before the Eurozone, before the Euro crisis, after the Euro crisis, and during the austerity period) and two potential recovery stages (with austere and benign economic transformations).

An Introduction to Mathematical Modeling

Author : Edward A. Bender
Publisher : Courier Corporation
ISBN 13 : 0486137120
Total Pages : 273 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis An Introduction to Mathematical Modeling by : Edward A. Bender

Download or read book An Introduction to Mathematical Modeling written by Edward A. Bender and published by Courier Corporation. This book was released on 2012-05-23 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.

Mathematical Modelling

Author : Simon Serovajsky
Publisher : CRC Press
ISBN 13 : 1000503976
Total Pages : 466 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Mathematical Modelling by : Simon Serovajsky

Download or read book Mathematical Modelling written by Simon Serovajsky and published by CRC Press. This book was released on 2021-11-24 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modelling sets out the general principles of mathematical modelling as a means comprehending the world. Within the book, the problems of physics, engineering, chemistry, biology, medicine, economics, ecology, sociology, psychology, political science, etc. are all considered through this uniform lens. The author describes different classes of models, including lumped and distributed parameter systems, deterministic and stochastic models, continuous and discrete models, static and dynamical systems, and more. From a mathematical point of view, the considered models can be understood as equations and systems of equations of different nature and variational principles. In addition to this, mathematical features of mathematical models, applied control and optimization problems based on mathematical models, and identification of mathematical models are also presented. Features Each chapter includes four levels: a lecture (main chapter material), an appendix (additional information), notes (explanations, technical calculations, literature review) and tasks for independent work; this is suitable for undergraduates and graduate students and does not require the reader to take any prerequisite course, but may be useful for researchers as well Described mathematical models are grouped both by areas of application and by the types of obtained mathematical problems, which contributes to both the breadth of coverage of the material and the depth of its understanding Can be used as the main textbook on a mathematical modelling course, and is also recommended for special courses on mathematical models for physics, chemistry, biology, economics, etc.

Institutions and Evolution of Capitalism

Author : Francesca Gagliardi
Publisher : Edward Elgar Publishing
ISBN 13 : 1785365002
Total Pages : 384 pages
Book Rating : 4.7/5 (853 download)

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Book Synopsis Institutions and Evolution of Capitalism by : Francesca Gagliardi

Download or read book Institutions and Evolution of Capitalism written by Francesca Gagliardi and published by Edward Elgar Publishing. This book was released on 2019 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: In just over 30 years, Geoff Hodgson has made substantial contributions to institutional economics, evolutionary economics, economic methodology, the history of economic thought and social theory. To mark his seminal work, this volume brings together original contributions by world-leading scholars in specific areas that have played a significant role in influencing his thinking or represent key debates to which he has contributed. Building on some of the most significant philosophical and methodological foundations underlying Hodgson's work, the volume is organised around the recurring themes of institutions, evolution and capitalism.