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Books > Business & Economics > Economics > Econometrics

Handbook of Discrete-Valued Time Series - Handbooks of Modern Statistical Methods (Hardcover): Richard A. Davis, Scott H Holan,... Handbook of Discrete-Valued Time Series - Handbooks of Modern Statistical Methods (Hardcover)
Richard A. Davis, Scott H Holan, Robert Lund, Nalini Ravishanker
R4,956 Discovery Miles 49 560 Ships in 10 - 15 working days

Model a Wide Range of Count Time Series Handbook of Discrete-Valued Time Series presents state-of-the-art methods for modeling time series of counts and incorporates frequentist and Bayesian approaches for discrete-valued spatio-temporal data and multivariate data. While the book focuses on time series of counts, some of the techniques discussed can be applied to other types of discrete-valued time series, such as binary-valued or categorical time series. Explore a Balanced Treatment of Frequentist and Bayesian Perspectives Accessible to graduate-level students who have taken an elementary class in statistical time series analysis, the book begins with the history and current methods for modeling and analyzing univariate count series. It next discusses diagnostics and applications before proceeding to binary and categorical time series. The book then provides a guide to modern methods for discrete-valued spatio-temporal data, illustrating how far modern applications have evolved from their roots. The book ends with a focus on multivariate and long-memory count series. Get Guidance from Masters in the Field Written by a cohesive group of distinguished contributors, this handbook provides a unified account of the diverse techniques available for observation- and parameter-driven models. It covers likelihood and approximate likelihood methods, estimating equations, simulation methods, and a Bayesian approach for model fitting.

Nonlinear Valuation and Non-Gaussian Risks in Finance (Hardcover, New Ed): Dilip B. Madan, Wim Schoutens Nonlinear Valuation and Non-Gaussian Risks in Finance (Hardcover, New Ed)
Dilip B. Madan, Wim Schoutens
R2,862 R2,470 Discovery Miles 24 700 Save R392 (14%) Ships in 9 - 17 working days

What happens to risk as the economic horizon goes to zero and risk is seen as an exposure to a change in state that may occur instantaneously at any time? All activities that have been undertaken statically at a fixed finite horizon can now be reconsidered dynamically at a zero time horizon, with arrival rates at the core of the modeling. This book, aimed at practitioners and researchers in financial risk, delivers the theoretical framework and various applications of the newly established dynamic conic finance theory. The result is a nonlinear non-Gaussian valuation framework for risk management in finance. Risk-free assets disappear and low risk portfolios must pay for their risk reduction with negative expected returns. Hedges may be constructed to enhance value by exploiting risk interactions. Dynamic trading mechanisms are synthesized by machine learning algorithms. Optimal exposures are designed for option positioning simultaneously across all strikes and maturities.

Monte Carlo Methods and Models in Finance and Insurance (Paperback): Ralf Korn, Elke Korn, Gerald Kroisandt Monte Carlo Methods and Models in Finance and Insurance (Paperback)
Ralf Korn, Elke Korn, Gerald Kroisandt
R1,529 Discovery Miles 15 290 Ships in 10 - 15 working days

Offering a unique balance between applications and calculations, Monte Carlo Methods and Models in Finance and Insurance incorporates the application background of finance and insurance with the theory and applications of Monte Carlo methods. It presents recent methods and algorithms, including the multilevel Monte Carlo method, the statistical Romberg method, and the Heath-Platen estimator, as well as recent financial and actuarial models, such as the Cheyette and dynamic mortality models. The authors separately discuss Monte Carlo techniques, stochastic process basics, and the theoretical background and intuition behind financial and actuarial mathematics, before bringing the topics together to apply the Monte Carlo methods to areas of finance and insurance. This allows for the easy identification of standard Monte Carlo tools and for a detailed focus on the main principles of financial and insurance mathematics. The book describes high-level Monte Carlo methods for standard simulation and the simulation of stochastic processes with continuous and discontinuous paths. It also covers a wide selection of popular models in finance and insurance, from Black-Scholes to stochastic volatility to interest rate to dynamic mortality. Through its many numerical and graphical illustrations and simple, insightful examples, this book provides a deep understanding of the scope of Monte Carlo methods and their use in various financial situations. The intuitive presentation encourages readers to implement and further develop the simulation methods.

Intuition, Trust, and Analytics (Paperback): Jay Liebowitz, Joanna Paliszkiewicz, Jerzy Goluchowski Intuition, Trust, and Analytics (Paperback)
Jay Liebowitz, Joanna Paliszkiewicz, Jerzy Goluchowski
R1,474 Discovery Miles 14 740 Ships in 10 - 15 working days

In order to make informed decisions, there are three important elements: intuition, trust, and analytics. Intuition is based on experiential learning and recent research has shown that those who rely on their "gut feelings" may do better than those who don't. Analytics, however, are important in a data-driven environment to also inform decision making. The third element, trust, is critical for knowledge sharing to take place. These three elements-intuition, analytics, and trust-make a perfect combination for decision making. This book gathers leading researchers who explore the role of these three elements in the process of decision-making.

Statistical Studies of Income, Poverty and Inequality in Europe - Computing and Graphics in R using EU-SILC (Paperback):... Statistical Studies of Income, Poverty and Inequality in Europe - Computing and Graphics in R using EU-SILC (Paperback)
Nicholas T. Longford
R1,514 Discovery Miles 15 140 Ships in 10 - 15 working days

There is no shortage of incentives to study and reduce poverty in our societies. Poverty is studied in economics and political sciences, and population surveys are an important source of information about it. The design and analysis of such surveys is principally a statistical subject matter and the computer is essential for their data compilation and processing. Focusing on The European Union Statistics on Income and Living Conditions (EU-SILC), a program of annual national surveys which collect data related to poverty and social exclusion, Statistical Studies of Income, Poverty and Inequality in Europe: Computing and Graphics in R presents a set of statistical analyses pertinent to the general goals of EU-SILC. The contents of the volume are biased toward computing and statistics, with reduced attention to economics, political and other social sciences. The emphasis is on methods and procedures as opposed to results, because the data from annual surveys made available since publication and in the near future will degrade the novelty of the data used and the results derived in this volume. The aim of this volume is not to propose specific methods of analysis, but to open up the analytical agenda and address the aspects of the key definitions in the subject of poverty assessment that entail nontrivial elements of arbitrariness. The presented methods do not exhaust the range of analyses suitable for EU-SILC, but will stimulate the search for new methods and adaptation of established methods that cater to the identified purposes.

Computer-Aided Econometrics (Hardcover, New): David E.A. Giles Computer-Aided Econometrics (Hardcover, New)
David E.A. Giles
R4,537 Discovery Miles 45 370 Ships in 18 - 22 working days

Emphasizing the impact of computer software and computational technology on econometric theory and development, this text presents recent advances in the application of computerized tools to econometric techniques and practicesA[a, ¬a focusing on current innovations in Monte Carlo simulation, computer-aided testing, model selection, and Bayesian methodology for improved econometric analyses.

Math In Economics (Hardcover, Second Edition): Susheng Wang Math In Economics (Hardcover, Second Edition)
Susheng Wang
R2,167 Discovery Miles 21 670 Ships in 18 - 22 working days

This textbook concisely covers math knowledge and tools useful for business and economics studies, including matrix analysis, basic math concepts, general optimization, dynamic optimization, and ordinary differential equations. Basic math tools, particularly optimization tools, are essential for students in a business school, especially for students in economics, accounting, finance, management, and marketing. It is a standard practice nowadays that a graduate program in a business school requires a short and intense course in math just before or immediately after the students enter the program. Math in Economics aims to be the main textbook for such a crash course.The 1st edition was published by People's University Publisher, China. This new edition contains an added chapter on Probability Theory along with changes and improvements throughout.

Math In Economics (Paperback, Second Edition): Susheng Wang Math In Economics (Paperback, Second Edition)
Susheng Wang
R1,239 Discovery Miles 12 390 Ships in 10 - 15 working days

This textbook concisely covers math knowledge and tools useful for business and economics studies, including matrix analysis, basic math concepts, general optimization, dynamic optimization, and ordinary differential equations. Basic math tools, particularly optimization tools, are essential for students in a business school, especially for students in economics, accounting, finance, management, and marketing. It is a standard practice nowadays that a graduate program in a business school requires a short and intense course in math just before or immediately after the students enter the program. Math in Economics aims to be the main textbook for such a crash course.The 1st edition was published by People's University Publisher, China. This new edition contains an added chapter on Probability Theory along with changes and improvements throughout.

Mathematics for Finance, Business and Economics (Hardcover): Irenee Dondjio, Wouter Krasser Mathematics for Finance, Business and Economics (Hardcover)
Irenee Dondjio, Wouter Krasser
R5,052 Discovery Miles 50 520 Ships in 10 - 15 working days

Mastering the basic concepts of mathematics is the key to understanding other subjects such as Economics, Finance, Statistics, and Accounting. Mathematics for Finance, Business and Economics is written informally for easy comprehension. Unlike traditional textbooks it provides a combination of explanations, exploration and real-life applications of major concepts. Mathematics for Finance, Business and Economics discusses elementary mathematical operations, linear and non-linear functions and equations, differentiation and optimization, economic functions, summation, percentages and interest, arithmetic and geometric series, present and future values of annuities, matrices and Markov chains. Aided by the discussion of real-world problems and solutions, students across the business and economics disciplines will find this textbook perfect for gaining an understanding of a core plank of their studies.

Dynamic Nonlinear Econometric Models - Asymptotic Theory (Hardcover, 1997 ed.): Benedikt M. Potscher, Ingmar R. Prucha Dynamic Nonlinear Econometric Models - Asymptotic Theory (Hardcover, 1997 ed.)
Benedikt M. Potscher, Ingmar R. Prucha
R5,316 Discovery Miles 53 160 Ships in 18 - 22 working days

The book provides an extensive discussion of asymptotic theory of M-estimators in the context of dynamic nonlinear models. The class of M-estimators contains least mean distance estimators (including maximum likelihood estimators) and generalized method of moments estimators. In addition to establishing the asymptotic properties of such estimators, the book provides a detailed discussion of the statistical and probabilistic tools necessary for such an analysis. The book also gives a careful treatment of estimators of asymptotic variance covariance matrices for dependent processes.

Change Of Time And Change Of Measure (Hardcover, Second Edition): Ole E. Barndorff-Nielsen, Albert N. Shiryaev Change Of Time And Change Of Measure (Hardcover, Second Edition)
Ole E. Barndorff-Nielsen, Albert N. Shiryaev
R1,709 Discovery Miles 17 090 Ships in 10 - 15 working days

Change of Time and Change of Measure provides a comprehensive account of two topics that are of particular significance in both theoretical and applied stochastics: random change of time and change of probability law.Random change of time is key to understanding the nature of various stochastic processes, and gives rise to interesting mathematical results and insights of importance for the modeling and interpretation of empirically observed dynamic processes. Change of probability law is a technique for solving central questions in mathematical finance, and also has a considerable role in insurance mathematics, large deviation theory, and other fields.The book comprehensively collects and integrates results from a number of scattered sources in the literature and discusses the importance of the results relative to the existing literature, particularly with regard to mathematical finance.In this Second Edition a Chapter 13 entitled 'A Wider View' has been added. This outlines some of the developments that have taken place in the area of Change of Time and Change of Measure since the publication of the First Edition. Most of these developments have their root in the study of the Statistical Theory of Turbulence rather than in Financial Mathematics and Econometrics, and they form part of the new research area termed 'Ambit Stochastics'.

Time Series Analysis for the State-Space Model with R/Stan (Hardcover, 1st ed. 2021): Junichiro Hagiwara Time Series Analysis for the State-Space Model with R/Stan (Hardcover, 1st ed. 2021)
Junichiro Hagiwara
R3,680 Discovery Miles 36 800 Ships in 10 - 15 working days

This book provides a comprehensive and concrete illustration of time series analysis focusing on the state-space model, which has recently attracted increasing attention in a broad range of fields. The major feature of the book lies in its consistent Bayesian treatment regarding whole combinations of batch and sequential solutions for linear Gaussian and general state-space models: MCMC and Kalman/particle filter. The reader is given insight on flexible modeling in modern time series analysis. The main topics of the book deal with the state-space model, covering extensively, from introductory and exploratory methods to the latest advanced topics such as real-time structural change detection. Additionally, a practical exercise using R/Stan based on real data promotes understanding and enhances the reader's analytical capability.

Environmental Risk Modelling in Banking (Hardcover): Magdalena Ziolo Environmental Risk Modelling in Banking (Hardcover)
Magdalena Ziolo
R4,068 Discovery Miles 40 680 Ships in 10 - 15 working days

Environmental risk directly affects the financial stability of banks since they bear the financial consequences of the loss of liquidity of the entities to which they lend and of the financial penalties imposed resulting from the failure to comply with regulations and for actions taken that are harmful to the natural environment. This book explores the impact of environmental risk on the banking sector and analyzes strategies to mitigate this risk with a special emphasis on the role of modelling. It argues that environmental risk modelling allows banks to estimate the patterns and consequences of environmental risk on their operations, and to take measures within the context of asset and liability management to minimize the likelihood of losses. An important role here is played by the environmental risk modelling methodology as well as the software and mathematical and econometric models used. It examines banks' responses to macroprudential risk, particularly from the point of view of their adaptation strategies; the mechanisms of its spread; risk management and modelling; and sustainable business models. It introduces the basic concepts, definitions, and regulations concerning this type of risk, within the context of its influence on the banking industry. The book is primarily based on a quantitative and qualitative approach and proposes the delivery of a new methodology of environmental risk management and modelling in the banking sector. As such, it will appeal to researchers, scholars, and students of environmental economics, finance and banking, sociology, law, and political sciences.

Financial Valuation And Econometrics (2nd Edition) (Hardcover, 2nd Revised edition): Kian Guan Lim Financial Valuation And Econometrics (2nd Edition) (Hardcover, 2nd Revised edition)
Kian Guan Lim
R3,087 Discovery Miles 30 870 Ships in 10 - 15 working days

This book is an introduction to financial valuation and financial data analyses using econometric methods. It is intended for advanced finance undergraduates and graduates. Most chapters in the book would contain one or more finance application examples where finance concepts, and sometimes theory, are taught.This book is a modest attempt to bring together several important domains in financial valuation theory, in econometrics modelling, and in the empirical analyses of financial data. These domains are highly intertwined and should be properly understood in order to correctly and effectively harness the power of data and statistical or econometrics methods for investment and financial decision-making.The contribution in this book, and at the same time, its novelty, is in employing materials in basic econometrics, particularly linear regression analyses, and weaving into it threads of foundational finance theory, concepts, ideas, and models. It provides a clear pedagogical approach to allow very effective learning by a finance student who wants to be well equipped in both theory and ability to research the data.This is a handy book for finance professionals doing research to easily access the key techniques in data analyses using regression methods. Students learn all 3 skills at once - finance, econometrics, and data analyses. It provides for very solid and useful learning for advanced undergraduate and graduate students who wish to work in financial analyses, risk analyses, and financial research areas.

Financial Valuation And Econometrics (2nd Edition) (Paperback, 2nd Revised edition): Kian Guan Lim Financial Valuation And Econometrics (2nd Edition) (Paperback, 2nd Revised edition)
Kian Guan Lim
R1,497 Discovery Miles 14 970 Ships in 10 - 15 working days
The Methodology of Economic Model Building (Routledge Revivals) - Methodology after Samuelson (Paperback): Lawrence A. Boland The Methodology of Economic Model Building (Routledge Revivals) - Methodology after Samuelson (Paperback)
Lawrence A. Boland
R1,497 Discovery Miles 14 970 Ships in 10 - 15 working days

The major methodological task for modern economists has been to establish the testability of models. Too often, however, methodological assumptions can make a model virtually impossible to test even under ideal conditions, yet few theorists have examined the requirements and problems of assuring testability in economics. In The Methodology of Economic Model Building, first published in 1989, Lawrence Boland presents the results of a research project that spanned more than twenty years. He examines how economists have applied the philosophy of Karl Popper, relating methodological debates about falsifiability to wider discussions about the truth status of models in natural and social sciences. He concludes that model building in economics reflects more the methodological prescriptions of the economist Paul Samuelson than Popper's 'falsificationism'. This title will prove invaluable to both students and researchers, and represents a substantial contribution to current debates about the scientific status of economics.

Algorithmic and High-Frequency Trading (Hardcover): Alvaro Cartea, Sebastian Jaimungal, Jose Penalva Algorithmic and High-Frequency Trading (Hardcover)
Alvaro Cartea, Sebastian Jaimungal, Jose Penalva
R1,766 Discovery Miles 17 660 Ships in 10 - 15 working days

The design of trading algorithms requires sophisticated mathematical models backed up by reliable data. In this textbook, the authors develop models for algorithmic trading in contexts such as executing large orders, market making, targeting VWAP and other schedules, trading pairs or collection of assets, and executing in dark pools. These models are grounded on how the exchanges work, whether the algorithm is trading with better informed traders (adverse selection), and the type of information available to market participants at both ultra-high and low frequency. Algorithmic and High-Frequency Trading is the first book that combines sophisticated mathematical modelling, empirical facts and financial economics, taking the reader from basic ideas to cutting-edge research and practice. If you need to understand how modern electronic markets operate, what information provides a trading edge, and how other market participants may affect the profitability of the algorithms, then this is the book for you.

Handbook of Econometrics, Volume 3 (Hardcover): Michael D. Intriligator, Z. Griliches Handbook of Econometrics, Volume 3 (Hardcover)
Michael D. Intriligator, Z. Griliches
R2,975 Discovery Miles 29 750 Ships in 10 - 15 working days

Hardbound. The Handbook is a definitive reference source and teaching aid for econometricians. It examines models, estimation theory, data analysis and field applications in econometrics. Comprehensive surveys, written by experts, discuss recent developments at a level suitable for professional use by economists, econometricians, statisticians, and in advanced graduate econometrics courses.For more information on the Handbooks in Economics series, please see our home page on http: //www.elsevier.nl/locate/he

Themes in Economic Analysis - Theory, policy and measurement (Hardcover): Subrata Guha, Rajendra Prasad Kundu, S. Subramanian Themes in Economic Analysis - Theory, policy and measurement (Hardcover)
Subrata Guha, Rajendra Prasad Kundu, S. Subramanian
R4,804 Discovery Miles 48 040 Ships in 10 - 15 working days

This book covers diverse themes, including institutions and efficiency, choice and values, law and economics, development and policy, and social and economic measurement. Written in honour of the distinguished economist Satish K. Jain, this compilation of essays should appeal not only to students and researchers of economic theory but also to those interested in the design and evaluation of institutions and policy.

Advances in Econometrics and Quantitative Economics (Hardcover): Maddala Advances in Econometrics and Quantitative Economics (Hardcover)
Maddala
R5,337 Discovery Miles 53 370 Ships in 10 - 15 working days

"Advances in Econometrics and Quantitative Economics" is a comprehensive guide to the statistical methods used in econometrics and quantitative economics. Bringing together contributions from those acknowledged to be amongst the world's leading econometricians and statisticians this volume covers topics such as:

* Semiparametric and non-parametric interference.
* Multivariate analysis.
* Diagnostic tests.
* Time series behavior of commodity prices.
* Applications of Edgeworth expansions and quantitative methods in development economics.

The book is dedicated to Professor C. R. Rao, whose unique contribution to the subject has influenced econometricians for many years.

Asymptotic Theory for Econometricians (Hardcover, 2nd edition): Halbert White Asymptotic Theory for Econometricians (Hardcover, 2nd edition)
Halbert White
R3,132 Discovery Miles 31 320 Ships in 10 - 15 working days

This book provides the tools and concepts necessary to study the behavior of econometric estimators and test statistics in large samples. An econometric estimator is a solution to an optimization problem; that is, a problem that requires a body of techniques to determine a specific solution in a defined set of possible alternatives that best satisfies a selected object function or set of constraints. Thus, this highly mathematical book investigates situations concerning large numbers, in which the assumptions of the classical linear model fail. Economists, of course, face these situations often.
Key Features
* Completely revised Chapter Seven on functional central limit theory and its applications, specifically unit root regression, spurious regression, and regression with cointegrated processes
* Updated material on:
* Central limit theory
* Asymptotically efficient instrumental variables estimation
* Estimation of asymptotic covariance matrices
* Efficient estimation with estimated error covariance matrices
* Efficient IV estimation

Handbook of Mathematical Economics, Volume 3 (Hardcover): Michael D. Intriligator, Kenneth J. Arrow Handbook of Mathematical Economics, Volume 3 (Hardcover)
Michael D. Intriligator, Kenneth J. Arrow
R1,382 Discovery Miles 13 820 Ships in 10 - 15 working days

The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field. Volume I deals with Mathematical Methods in Economics, including reviews of the concepts and techniques that have been most useful for the mathematical development of economic theory. Volume II elaborates on Mathematical Approaches to Microeconomic Theory, including consumer, producer, oligopoly, and duality theory, as well as Mathematical Approaches to Competitive Equilibrium including such aspects of competitive equilibrium as existence, stability, uncertainty, the computation of equilibrium prices, and the core of an economy.

Commodities - Fundamental Theory of Futures, Forwards, and Derivatives Pricing (Hardcover, 2nd edition): M. A. H. Dempster, Ke... Commodities - Fundamental Theory of Futures, Forwards, and Derivatives Pricing (Hardcover, 2nd edition)
M. A. H. Dempster, Ke Tang
R5,007 Discovery Miles 50 070 Ships in 10 - 15 working days

-Up-to-date with cutting edge topics -Suitable for professional quants and as library reference for students of finance and financial mathematics

Factor Analysis and Dimension Reduction in R - A Social Scientist's Toolkit (Hardcover): G.David Garson Factor Analysis and Dimension Reduction in R - A Social Scientist's Toolkit (Hardcover)
G.David Garson
R4,122 Discovery Miles 41 220 Ships in 10 - 15 working days

Factor Analysis and Dimension Reduction in R provides coverage, with worked examples, of a large number of dimension reduction procedures along with model performance metrics to compare them. Factor analysis in the form of principal components analysis (PCA) or principal factor analysis (PFA) is familiar to most social scientists. However, what is less familiar is understanding that factor analysis is a subset of the more general statistical family of dimension reduction methods. The social scientist's toolkit for factor analysis problems can be expanded to include the range of solutions this book presents. In addition to covering FA and PCA with orthogonal and oblique rotation, this book's coverage includes higher-order factor models, bifactor models, models based on binary and ordinal data, models based on mixed data, generalized low-rank models, cluster analysis with GLRM, models involving supplemental variables or observations, Bayesian factor analysis, regularized factor analysis, testing for unidimensionality, and prediction with factor scores. The second half of the book deals with other procedures for dimension reduction. These include coverage of kernel PCA, factor analysis with multidimensional scaling, locally linear embedding models, Laplacian eigenmaps, diffusion maps, force directed methods, t-distributed stochastic neighbor embedding, independent component analysis (ICA), dimensionality reduction via regression (DRR), non-negative matrix factorization (NNMF), Isomap, Autoencoder, uniform manifold approximation and projection (UMAP) models, neural network models, and longitudinal factor analysis models. In addition, a special chapter covers metrics for comparing model performance. Features of this book include: Numerous worked examples with replicable R code Explicit comprehensive coverage of data assumptions Adaptation of factor methods to binary, ordinal, and categorical data Residual and outlier analysis Visualization of factor results Final chapters that treat integration of factor analysis with neural network and time series methods Presented in color with R code and introduction to R and RStudio, this book will be suitable for graduate-level and optional module courses for social scientists, and on quantitative methods and multivariate statistics courses.

Social Economy - The Logic of Capitalist Development (Paperback): Clark Everling Social Economy - The Logic of Capitalist Development (Paperback)
Clark Everling
R1,491 Discovery Miles 14 910 Ships in 10 - 15 working days

Contrary to much Marxist thought, Everling does not view socialism as an antithesis to capitalism, and argues that socialism is, among other things, an objective development of capitalism. As capitalism develops it creates the premises for social development which are also the bases for a socialist and democratic construction of society. Drawing on economics, urban geography, political theory and Marxism, Social Economy: * Examines the evolution of capitalism from its early industrial to its present urban and global forms * Shows how Marx understood the economy as a unity of production, distribution, exchange and consumption engaged in social reproduction * Explores the contradictory evolution of US corporations and urban development from 1945 to the present * Argues that urban space involves requirements for social and individual reproduction which extend well beyond limits inherent in transnational corporate private appropriation Using his unique arguments, Everling makes the case that economic expansion can now best be secured by forms of development that take us beyond the limits of capitalism and point towards a democratic and socialist society.

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