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| Author | : Angel de la Fuente |
| Publisher | : Cambridge University Press |
| Total Pages | : 630 |
| Release | : 2000-01-28 |
| Genre | : Business & Economics |
| ISBN | : 9780521585293 |
A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
| Author | : J. Colin Glass |
| Publisher | : |
| Total Pages | : 300 |
| Release | : 1980 |
| Genre | : Economics |
| ISBN | : 9780070841109 |
| Author | : Akihito Asano |
| Publisher | : Cambridge University Press |
| Total Pages | : 285 |
| Release | : 2012-11-08 |
| Genre | : Business & Economics |
| ISBN | : 1107007607 |
A concise, accessible introduction to maths for economics with lots of practical applications to help students learn in context.
| Author | : Jean-Pierre Aubin |
| Publisher | : Courier Corporation |
| Total Pages | : 658 |
| Release | : 2007-01-01 |
| Genre | : Mathematics |
| ISBN | : 048646265X |
Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Both optimization and equilibrium theories are covered in full detail. The book's central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. Mathematicians, mathematical economists, and operations research specialists will find that it provides a solid foundation in nonlinear functional analysis. This text begins by developing linear and convex analysis in the context of optimization theory. The treatment includes results on the existence and stability of solutions to optimization problems as well as an introduction to duality theory. The second part explores a number of topics in game theory and mathematical economics, including two-person games, which provide the framework to study theorems of nonlinear analysis. The text concludes with an introduction to non-linear analysis and optimal control theory, including an array of fixed point and subjectivity theorems that offer powerful tools in proving existence theorems.
| Author | : Mik Wisniewski |
| Publisher | : McGraw-Hill Book Company Limited |
| Total Pages | : 375 |
| Release | : 1996 |
| Genre | : Business & Economics |
| ISBN | : 9780077091095 |
This text introduces undergraduate students studying economics to a useful set of analytical tools and mathematical techniques.
| Author | : Dean Corbae |
| Publisher | : Princeton University Press |
| Total Pages | : 696 |
| Release | : 2009-02-17 |
| Genre | : Business & Economics |
| ISBN | : 1400833086 |
Providing an introduction to mathematical analysis as it applies to economic theory and econometrics, this book bridges the gap that has separated the teaching of basic mathematics for economics and the increasingly advanced mathematics demanded in economics research today. Dean Corbae, Maxwell B. Stinchcombe, and Juraj Zeman equip students with the knowledge of real and functional analysis and measure theory they need to read and do research in economic and econometric theory. Unlike other mathematics textbooks for economics, An Introduction to Mathematical Analysis for Economic Theory and Econometrics takes a unified approach to understanding basic and advanced spaces through the application of the Metric Completion Theorem. This is the concept by which, for example, the real numbers complete the rational numbers and measure spaces complete fields of measurable sets. Another of the book's unique features is its concentration on the mathematical foundations of econometrics. To illustrate difficult concepts, the authors use simple examples drawn from economic theory and econometrics. Accessible and rigorous, the book is self-contained, providing proofs of theorems and assuming only an undergraduate background in calculus and linear algebra. Begins with mathematical analysis and economic examples accessible to advanced undergraduates in order to build intuition for more complex analysis used by graduate students and researchers Takes a unified approach to understanding basic and advanced spaces of numbers through application of the Metric Completion Theorem Focuses on examples from econometrics to explain topics in measure theory
| Author | : James C. Moore |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 344 |
| Release | : 2013-03-14 |
| Genre | : Business & Economics |
| ISBN | : 3662085445 |
This two-volume work functions both as a textbook for graduates and as a reference for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate in economics, the two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. This second volume introduces general topology, the theory of correspondences on and into topological spaces, Banach spaces, topological vector spaces, and maximum, fixed-point, and selection theorems for such spaces
| Author | : D. Wade Hands |
| Publisher | : |
| Total Pages | : 488 |
| Release | : 1991 |
| Genre | : Business & Economics |
| ISBN | : |
| Author | : A. Simonovits |
| Publisher | : Springer |
| Total Pages | : 308 |
| Release | : 2000-06-05 |
| Genre | : Business & Economics |
| ISBN | : 0230513530 |
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.
| Author | : Belal Ehsan Baaquie |
| Publisher | : Springer Nature |
| Total Pages | : 439 |
| Release | : 2020-08-10 |
| Genre | : Business & Economics |
| ISBN | : 9811566119 |
Given the rapid pace of development in economics and finance, a concise and up-to-date introduction to mathematical methods has become a prerequisite for all graduate students, even those not specializing in quantitative finance. This book offers an introductory text on mathematical methods for graduate students of economics and finance–and leading to the more advanced subject of quantum mathematics. The content is divided into five major sections: mathematical methods are covered in the first four sections, and can be taught in one semester. The book begins by focusing on the core subjects of linear algebra and calculus, before moving on to the more advanced topics of probability theory and stochastic calculus. Detailed derivations of the Black-Scholes and Merton equations are provided – in order to clarify the mathematical underpinnings of stochastic calculus. Each chapter of the first four sections includes a problem set, chiefly drawn from economics and finance. In turn, section five addresses quantum mathematics. The mathematical topics covered in the first four sections are sufficient for the study of quantum mathematics; Black-Scholes option theory and Merton’s theory of corporate debt are among topics analyzed using quantum mathematics.
