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This book provides an introduction to discrete dynamical systems -
a framework of analysis that is commonly used in the ?elds of
biology, demography, ecology, economics, engineering, ?nance, and
physics. The book characterizes the fundamental factors that govern
the quantitative and qualitative trajectories of a variety of
deterministic, discrete dynamical systems, providing solution
methods for systems that can be solved analytically and methods of
qualitative analysis for those systems that do not permit or
necessitate an explicit solution. The analysis focuses initially on
the characterization of the factors that govern the evolution of
state variables in the elementary context of one-dimensional,
?rst-order, linear, autonomous systems. The f- damental insights
about the forces that a?ect the evolution of these - ementary
systems are subsequently generalized, and the determinants of the
trajectories of multi-dimensional, nonlinear, higher-order, non- 1
autonomous dynamical systems are established. Chapter 1 focuses on
the analysis of the evolution of state variables in
one-dimensional, ?rst-order, autonomous systems. It introduces a
method of solution for these systems, and it characterizes the
traj- tory of a state variable, in relation to a steady-state
equilibrium of the system, examining the local and global
(asymptotic) stability of this steady-state equilibrium. The ?rst
part of the chapter characterizes the factors that determine the
existence, uniqueness and stability of a steady-state equilibrium
in the elementary context of one-dimensional, ?rst-order, linear
autonomous systems.
In this innovative collection, Oded Galor brings together some of
the most influential contributions to the modern literature on
income distribution and economic growth. Initially the essential
volume analyses the importance of inequality and development, past
and present. Further, it explores human capital formation, gender
inequality, landownership, ethical division and political
transitions. The editor has written an authoritative and lively
introduction that provides a much-needed insight into this valuable
field of study.
This book provides an introduction to discrete dynamical systems -
a framework of analysis that is commonly used in the ?elds of
biology, demography, ecology, economics, engineering, ?nance, and
physics. The book characterizes the fundamental factors that govern
the quantitative and qualitative trajectories of a variety of
deterministic, discrete dynamical systems, providing solution
methods for systems that can be solved analytically and methods of
qualitative analysis for those systems that do not permit or
necessitate an explicit solution. The analysis focuses initially on
the characterization of the factors that govern the evolution of
state variables in the elementary context of one-dimensional,
?rst-order, linear, autonomous systems. The f- damental insights
about the forces that a?ect the evolution of these - ementary
systems are subsequently generalized, and the determinants of the
trajectories of multi-dimensional, nonlinear, higher-order, non- 1
autonomous dynamical systems are established. Chapter 1 focuses on
the analysis of the evolution of state variables in
one-dimensional, ?rst-order, autonomous systems. It introduces a
method of solution for these systems, and it characterizes the
traj- tory of a state variable, in relation to a steady-state
equilibrium of the system, examining the local and global
(asymptotic) stability of this steady-state equilibrium. The ?rst
part of the chapter characterizes the factors that determine the
existence, uniqueness and stability of a steady-state equilibrium
in the elementary context of one-dimensional, ?rst-order, linear
autonomous systems.
This breakthrough scientific masterwork - and INTERNATIONAL
BESTSELLER - reveals the underlying forces that have shaped human
history and will secure our future... 'Masterful. Galor answers the
ultimate mystery' Lewis Dartnell The stunning advances that have
transformed human experience in recent centuries are no accident of
history - they are the result of universal and timeless forces,
operating since the dawn of our species. Drawing on a lifetime's
scientific investigation, Oded Galor's ground-breaking new vision
overturns a host of long-held assumptions to reveal the deeper
causes that have shaped the journey of humanity: Education rather
than industrialisation Family size and gender equality as much as
inventions and technology Geography and diversity rather than wars,
disease and famine 'Unparalleled in its scope and ambition . . .
All readers will learn something' Washington Post 'An inspiring,
readable, jargon-free and almost impossibly erudite masterwork' New
Statesman 'His optimism about humanity shines through' Observer 'If
you need an evidence-based antidote to doomscrolling, here it is'
Guardian
For most of the vast span of human history, economic growth was
all but nonexistent. Then, about two centuries ago, some nations
began to emerge from this epoch of economic stagnation,
experiencing sustained economic growth that led to significant
increases in standards of living and profoundly altered the level
and distribution of wealth, population, education, and health
across the globe. The question ever since has been--why?
This is the first book to put forward a unified theory of
economic growth that accounts for the entire growth process, from
the dawn of civilization to today. Oded Galor, who founded the
field of unified growth theory, identifies the historical and
prehistorical forces behind the differential transition timing from
stagnation to growth and the emergence of income disparity around
the world. Galor shows how the interaction between technological
progress and population ultimately raised the importance of
education in coping with the rapidly changing technological
environment, brought about significant reduction in fertility
rates, and enabled some economies to devote greater resources
toward a steady increase in per capita income, paving the way for
sustained economic growth.Presents a unified theory of economic
growth from the dawn of civilization to today Explains the
worldwide disparities in living standards and population we see
today Provides a comprehensive overview of the three phases of the
development process Analyzes the Malthusian theory and its
empirical support Examines theories of demographic transition and
their empirical significance Explores the interaction between
economic development and human evolution
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