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Optimal Control Of The Growth Of Wealth Of Nations
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Book Synopsis Optimal Control of the Growth of Wealth of Nations by : E.N. Chukwu
Download or read book Optimal Control of the Growth of Wealth of Nations written by E.N. Chukwu and published by CRC Press. This book was released on 2003-01-23 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students and researchers in applied mathematics and applied economics can use this introductory-level graduate text. It looks at the current problems of the development of the global economy by studying the dynamics of key economic variables, such as gross national product, interest rates, employment, value of capital stock, prices (inflation) and
Book Synopsis Differential Models and Neutral Systems for Controlling the Wealth of Nations by : Ethelbert N. Chukwu
Download or read book Differential Models and Neutral Systems for Controlling the Wealth of Nations written by Ethelbert N. Chukwu and published by World Scientific. This book was released on 2001 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph derives from familiar economic principles the dynamics of national income, the interest rate, employment, the value of capital stock, prices, and the cumulative balance of payments. This is a Volterra neutral integrodifferential game of pursuit. The quarry control is government intervention in the form of taxation, control of money supply, tariffs, foreign credit, interest equalization tax, preferential trade agreements (which reduce trade barriers and enhance trade flows between nations), transportation and distance between trading partners. The pursuer controls include wages and productivity. The book provides conditions for controllability and then deduces how big government intervention (compared with private firms' contributions) should be to ensure the possibility of growth.The reader is assumed to be familiar with advanced calculus and to have a working knowledge of ordinary differential equations. The required theory of hereditary systems can be obtained from the book itself.
Book Synopsis Economic Dynamics of All Members of the United Nations by : Ethelbert Nwakuche Chukwu
Download or read book Economic Dynamics of All Members of the United Nations written by Ethelbert Nwakuche Chukwu and published by Springer. This book was released on 2014-07-11 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an enduring response to modern economic problems and the consequent crises, dealing with the economic modelling of nations and the forecasting of economic growth. The main arguments embodied constitute the creation of jobs and the restoration of economic growth, using the implicit acceptance of analysis on differential models and neutral systems for controlling the wealth of nations.
Book Synopsis A Mathematical Treatment of Economic Cooperation and Competition Among Nations, with Nigeria, USA, UK, China, and the Middle East Examples by : Ethelbert N. Chukwu
Download or read book A Mathematical Treatment of Economic Cooperation and Competition Among Nations, with Nigeria, USA, UK, China, and the Middle East Examples written by Ethelbert N. Chukwu and published by Elsevier. This book was released on 2005-09-30 with total page 793 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a careful mathematical study of Economic Cooperation and Competition among Nations. It appropriates the principles of Supply and Demand and of Rational Expectations to build the dynamic model of the Gross Domestic Products of two groups of nations which are linked up together. The first group consists of Nigeria, the US, the UK and China. The second group is made up of Egypt, the US, Jordan and Israel. The link connecting the four nations of each group is mirrored in the net export function which is broadened to include trade, debts and the inflow or the outflow of wealth from the competing and cooperating nations. This realistic models of the four interacting GDP's, a hereditary differential game of pursuit are validated with historical data from International Financial Statistic Year Book. The Mathematical model is then studied for controllability: from a current initial GDPs a better state can be attained using government and private strategies which are carefully identified. We use regression and differential equation methods to test whether the four countries are competing or cooperating. The consequences of competition or cooperation are explored. Cooperation can be realized and the growth of wealth assured because the system is controllable and we can increase the growth of GDP and then increase the coefficient of cooperation. The outcome may be unbounded growth of wealth for all concerned – the triumph of cooperation. With analogous simple examples the book shows that sufficiently cooperating systems grow unbounded and competing ones are either bounded at best, or become extinct in finite time. If competition is small, i.e., limited, or regulated the GDP's need not be extinct even after a long time. This results are in contrast with popular opinion which advocate competition over cooperation. The detailed policy implication of the cooperation analysis at one time or the other were advocated by Pope John Paul II, President Clinton and President Bush. The mathematical message is clear: the strategy of cooperation is the best way in an Interconnected World: Cooperation triumphs over competition. The same type of analysis allows the book to argue through modeling that prosperity, internal peace and harmony can flourish in Nigeria among the old three regions and the newer six geopolitical regions. The same is true for the four powerful states in the Middle East. Thus the author’s refreshing approach is the "scientific" treatment of cooperation and competition models of the gross-domestic product of two groups of nations – Nigeria, the USA, the UK, and China, and the USA, Egypt, Jordan and Israel. Attempts are made to provide "scientific" answers to broad national policies. It allows predictions of growth to be made with some degree of accuracy for up to 4 years. MATLAB and Maple programs in accompanied CD are provided. The author's individual nations economic models are cited. The dynamics are ordinary and hereditary games of pursuit also cited from the original earlier writings of the author are models of the economic state of each nation – a vector of six things – the gross domestic product (GDP) (y), interest rate R; employment (or unemployment) (L), value of capital stock (k), prices p(t), and therefore inflation and cumulative balance of payment (E). Each economic state is isolated except the impact of export function on aggregate demand. The main difference between this earlier contributions and this book is the link and its apparent policy implications and consequences. Key features:
Author :Ethelbert Nwakuche Chukwu Publisher :Springer Science & Business Media ISBN 13 :9491216260 Total Pages :214 pages Book Rating :4.4/5 (912 download)
Book Synopsis THE OMEGA PROBLEM OF ALL MEMBERS OF THE UNITED NATIONS by : Ethelbert Nwakuche Chukwu
Download or read book THE OMEGA PROBLEM OF ALL MEMBERS OF THE UNITED NATIONS written by Ethelbert Nwakuche Chukwu and published by Springer Science & Business Media. This book was released on 2010-09-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph, a sequel to the author's highly successfull A Mathematical Treatment of Economic Cooperation and Competition Among Nations: With Nigeria, USA, UK, China and Middle East Examples (Academic Press, 2005), extends the study to all member states of the United Nations. It derives the equations of the key economic variables of gross domestic product, interest rate, employment value of capital stock prices (inflation) and cumulative balance of payment. The derivation is based on the differential market principle of supply and demand and on the rational expectation principle. The models are validated using economic time series of each country and MATLAB programs. The emerging dynamics is a differential game of pursuit which is converted to a hereditary control system for a single nation. Following the same method we derive the full hereditary economic model of all members of the United Nations joined together by external trade, investment capital flow consumption employment and governments' economic intervention all mirrored by interacting gross domestic products. The system is validated with IMF and World Bank data.Studies are made on how to arrest economic recession and depression and promote economic growth and prosperity. Diffusion of wealth is also touched upon. Policies regarding economic stimulus, how to dam the decay of capital flow, as well as conditions to promote full employment are discussed. Examination is made to test for the global systems controllability the possibility of steering any current bad economic state to a state of growth of its GDP, low interest rate, full employment, good value of capital stock, low inflation and a positive value of the cumulative balance of payments. The book prescribes verifiable broad policies for all nations together to promote prosperity, diffusion of wealth and longevity. The book comes with full programs, output and identified equations which can be downloaded from the publishers' website. Detailed information is available inside the book.The book is a most valuable source of reference for world leaders, central bank directors, graduates and academic researchers in applied mathematics and applied economics concerned with the current problems and growth of the global economy.
Book Synopsis History of Mathematics in Africa: 2000-2011 by : Paulus Gerdes
Download or read book History of Mathematics in Africa: 2000-2011 written by Paulus Gerdes and published by Lulu.com. This book was released on 2011 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability and Time-optimal Control of Hereditary Systems by : Ethelbert N. Chukwu
Download or read book Stability and Time-optimal Control of Hereditary Systems written by Ethelbert N. Chukwu and published by World Scientific. This book was released on 2001 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability and Time-Optimal Control of Hereditary Systems is the mathematical foundation and theory required for studying in depth the stability and optimal control of systems whose history is taken into account. In this edition, the economic application is enlarged, and explored in some depth. The application holds out the hope that full employment and high income growth will be compatible with low prices and low inflation, provided that the control matrix has full rank, i.e., the existing controls are fully effectively used. The book concludes with a new appendix containing complete programs, data, graphs and quantitative results for the US economy.
Book Synopsis Advances in Nonlinear Dynamics by : S. Sivasundaram
Download or read book Advances in Nonlinear Dynamics written by S. Sivasundaram and published by Taylor & Francis. This book was released on 2023-01-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to Professor S. Leela in recognition of her significant contribution to the field of nonlinear dynamics and differential equations, this text consists of 38 papers contributed by experts from 15 countries, together with a survey of Professor Leela's work. The first group of papers examines stability, the second process controls, and the third section contains papers on various topics, including solutions for new classes of systems of equations and boundary problems, and proofs of basic theorems. Many of the featured problems are associated with the ideas and methods proposed and developed by Professor Leela.
Book Synopsis Mathematics in African History and Cultures by : Paulus Gerdes
Download or read book Mathematics in African History and Cultures written by Paulus Gerdes and published by Lulu.com. This book was released on 2007 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes an updated version of the bibliography published in 2004 by the African Mathematical Union. The African Studies Association attributed the original edition a 'ÂÂspecial mention'ÂÂ in the 2006 Conover-Porter Award competition. The book contains over 1600 bibliographic entries. The appendices contain additional bibliographic information on (1) mathematicians of the Diaspora, (2) publications by Africans on the history of mathematics outside Africa, (3) time-reckoning and astronomy in African history and cultures, (4) string figures in Africa, (5) examples of books published by African mathematicians, (6) board games in Africa, (7) research inspired by geometric aspects of the 'ÂÂsona'ÂÂ tradition. The book concludes with several indices (subject, country, region, author, ethnographic and linguistic, journal, mathematicians). Professor Jan Persens of the University of the Western Cape (South Africa) and president of the African Mathematical Union (2000-2004) wrote the preface.
Book Synopsis Asymptotic Methods in Resonance Analytical Dynamics by : Eugeniu Grebenikov
Download or read book Asymptotic Methods in Resonance Analytical Dynamics written by Eugeniu Grebenikov and published by CRC Press. This book was released on 2004-03-02 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic Methods in Resonance Analytical Dynamics presents new asymptotic methods for the analysis and construction of solutions (mainly periodic and quasiperiodic) of differential equations with small parameters. Along with some background material and theory behind these methods, the authors also consider a variety of problems and applications in nonlinear mechanics and oscillation theory. The methods examined are based on two types: the generalized averaging technique of Krylov-Bogolubov and the numeric-analytical iterations of Lyapunov-Poincaré. This text provides a useful source of reference for postgraduates and researchers working in this area of applied mathematics.
Book Synopsis Lyapunov Functions in Differential Games by : Vladislav I Zhukovskiy
Download or read book Lyapunov Functions in Differential Games written by Vladislav I Zhukovskiy and published by CRC Press. This book was released on 2003-01-16 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: A major step in differential games is determining an explicit form of the strategies of players who follow a certain optimality principle. To do this, the associated modification of Bellman dynamic programming problems has to be solved; for some differential games this could be Lyapunov functions whose "arsenal" has been supplied by stability theor
Book Synopsis Stability of Differential Equations with Aftereffect by : N.V. Azbelev
Download or read book Stability of Differential Equations with Aftereffect written by N.V. Azbelev and published by CRC Press. This book was released on 2002-10-03 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability of Differential Equations with Aftereffect presents stability theory for differential equations concentrating on functional differential equations with delay, integro-differential equations, and related topics. The authors provide background material on the modern theory of functional differential equations and introduce some new flexible
Download or read book Economics written by Holt McDougal and published by . This book was released on 2011 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Student Edition ensures student comprehension by providing features that improve reading and writing skills. Chapters open with Concept Review (activate prior knowledge), Key Concept (set the chapter focus), and Why the Concept Matters (relevance). Pre-reading support in each section provides clearly stated objectives, key terms with page citations as to where they are defined, and note-taking graphic organizer. Math Handbook in the reference section teaches mathematical skills related to economics. Economics Skillbuilders provide chapter-specific skill applications, such as evaluating sources and synthesizing economic data. The Economics Skillbuilder Handbook teaches skills for understanding economics and using sources. - Publisher.
Book Synopsis The Public Wealth of Nations by : Dag Detter
Download or read book The Public Wealth of Nations written by Dag Detter and published by Palgrave Macmillan. This book was released on 2017-09-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have spent the last three decades engaged in a pointless and irrelevant debate about the relative merits of privatization or nationalization. We have been arguing about the wrong thing while sitting on a goldmine of assets. Don’t worry about who owns those assets, worry about whether they are managed effectively. Why does this matter? Because despite the Thatcher/ Reagan economic revolution, the largest pool of wealth in the world – a global total that is much larger than the world’s total pensions savings, and ten times the total of all the sovereign wealth funds on the planet – is still comprised of commercial assets that are held in public ownership. If professionally managed, they could generate an annual yield of 2.7 trillion dollars, more than current global spending on infrastructure: transport, power, water, and communications. Based on both economic research and hands-on experience from many countries, the authors argue that publicly owned commercial assets need to be taken out of the direct and distorting control of politicians and placed under professional management in a ‘National Wealth Fund’ or its local government equivalent. Such a move would trigger much-needed structural reforms in national economies, thus resurrect strained government finances, bolster ailing economic growth, and improve the fabric of democratic institutions. This radical, reforming book was named one of the "Books of the Year".by both the FT and The Economist.
Book Synopsis Control Systems by : Jitendra R. Raol
Download or read book Control Systems written by Jitendra R. Raol and published by CRC Press. This book was released on 2019-07-12 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control Systems: Classical, Modern, and AI-Based Approaches provides a broad and comprehensive study of the principles, mathematics, and applications for those studying basic control in mechanical, electrical, aerospace, and other engineering disciplines. The text builds a strong mathematical foundation of control theory of linear, nonlinear, optimal, model predictive, robust, digital, and adaptive control systems, and it addresses applications in several emerging areas, such as aircraft, electro-mechanical, and some nonengineering systems: DC motor control, steel beam thickness control, drum boiler, motional control system, chemical reactor, head-disk assembly, pitch control of an aircraft, yaw-damper control, helicopter control, and tidal power control. Decentralized control, game-theoretic control, and control of hybrid systems are discussed. Also, control systems based on artificial neural networks, fuzzy logic, and genetic algorithms, termed as AI-based systems are studied and analyzed with applications such as auto-landing aircraft, industrial process control, active suspension system, fuzzy gain scheduling, PID control, and adaptive neuro control. Numerical coverage with MATLAB® is integrated, and numerous examples and exercises are included for each chapter. Associated MATLAB® code will be made available.
Book Synopsis How Adam Smith Can Change Your Life by : Russ Roberts
Download or read book How Adam Smith Can Change Your Life written by Russ Roberts and published by Portfolio. This book was released on 2015-10-13 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: "How the insights of an 18th century economist can help us live better in the 21st century. Adam Smith became famous for The Wealth of Nations, but the Scottish economist also cared deeply about our moral choices and behavior--the subjects of his other brilliant book, The Theory of Moral Sentiments (1759). Now, economist Russ Roberts shows why Smith's neglected work might be the greatest self-help book you've never read. Roberts explores Smith's unique and fascinating approach to fundamental questions such as: - What is the deepest source of human satisfaction? - Why do we sometimes swing between selfishness and altruism? - What's the connection between morality and happiness? Drawing on current events, literature, history, and pop culture, Roberts offers an accessible and thought-provoking view of human behavior through the lenses of behavioral economics and philosophy"--
Book Synopsis World Congress of Nonlinear Analysts '92 by : V. Lakshmikantham
Download or read book World Congress of Nonlinear Analysts '92 written by V. Lakshmikantham and published by Walter de Gruyter. This book was released on 2011-11-14 with total page 4040 pages. Available in PDF, EPUB and Kindle. Book excerpt:
