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This textbook provides a comprehensive introduction to mathematical calculus. Written for advanced undergraduate and graduate students, it teaches the fundamental mathematical concepts, methods and tools required for various areas of economics and the social sciences, such as optimization and measure theory. The reader will be introduced to topological, metric and normed spaces, learning about numerical sequences, series, and differential and integral calculus. These concepts are introduced using the axiomatic approach as a tool for logical reasoning, consistency, and formalization of ideas. The book follows a theorem-proving approach, stressing the limitations of applying the different theorems, while providing thought-provoking counter-examples. Each chapter features exercises that facilitate learning and allow students to apply and test important concepts and tools.
Provides graduate students and practitioners in physics and economics with a better understanding of stochastic processes.
This book focuses on knowledge-based economies and attempts to analyze dynamic innovation driven processes within those economies. It shows that evolutionary economics, and in particular the strand of applied industry and innovation studies often called Neo-Schumpeterian economics, has left the nursery of new academic approaches and is able to offer important insights for the understanding of socio-economic processes of change and development having a strong impact on economic reality all over the world. The contributions are summarized under four major sections knowledge and cognition, studies of knowledge-based industries, the geographical dimension of knowledge-based economies and measuring and modelling for knowledge-based economies and give a broad overview of the prolific research being undertaken in applied evolutionary economics. Students will find this book an invaluable resource for future research, as will researchers seeking an introduction to new methods and perspectives of analysis.
Research into firm growth has been accumulating at a terrific pace, and Alex Coad s survey of this multifaceted field provides a detailed, comprehensive overview of the latest developments. Much progress has been made in empirical research into firm growth in recent decades due to factors such as the availability of detailed longitudinal datasets, more powerful computers and new econometric techniques. This book provides an up-to-date catalogue of empirical work, as well as a coherent theoretical structure within which these new results can be interpreted and understood. It brings together a large body of recent research on firm growth from a multidisciplinary perspective, providing an up-to-date synthesis of stylized facts and empirical regularities. Numerous empirical findings and theories of firm growth are also surveyed and compared in order to evaluate their validity. Drawing on a vast and diverse body of research, this book will prove invaluable to students, academics, policy makers and practitioners with a need to keep abreast of studies in industrial organization, firm growth and management.
This book explores how the biotechnology and pharmaceutical sector is affected by innovation, growth and public policy.
The Foundations of Complex Evolving Economies seeks to offer an integrated analysis of the anatomy and physiology of the capitalist engine of generation and exploitation of technological organizational and institutional innovations - from the drivers of knowledge accumulation, to the modes in which such knowledge is incorporated into business firms, all the way to the processes of innovation-driven “Schumpeterian competition” and macroeconomic growth. In that, it advances the interpretation of such patterns, in terms of economies seen as complex evolving systems. The basic objects of analysis are the history of the emergence and development of modern capitalist economies and their curren...
Econophysics applies the methodology of physics to the study of economics. However, whilst physicists have good understanding of statistical physics, they may be unfamiliar with recent advances in statistical conjectures, including Bayesian and predictive methods. Equally, economists with knowledge of probabilities do not have a background in statistical physics and agent-based models. Proposing a unified view for a dynamic probabilistic approach, this book is useful for advanced undergraduate and graduate students as well as researchers in physics, economics and finance. The book takes a finitary approach to the subject, discussing the essentials of applied probability, and covering finite Markov chain theory and its applications to real systems. Each chapter ends with a summary, suggestions for further reading, and exercises with solutions at the end of the book.
This wide-ranging handbook studies and defines the paradigm of evolutionary economic geography. The distinguished contributors highlight the key conceptual, theoretical and empirical advances, and present a clear statement of their aims, objectives and methods.
Recognising that the economy is a complex system with boundedly rational interacting agents, applies complexity modelling to economics and finance.
Economic application of nonlinear dynamics, microscopic agent-based modelling, and the use of artificial intelligence techniques as learning devices of boundedly rational actors are among the most exciting interdisciplinary ventures of economic theory over the past decade. This volume provides us with a most fascinating series of examples on "complexity in action" exemplifying the scope and explanatory power of these innovative approaches.