eBook PDF Download Digital Library
Author: Angel de la Fuente
Publisher: Cambridge University Press
Published: 2000-01-28
Total Pages: 630
ISBN-13: 9780521585293
DOWNLOAD EBOOK →A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
Author: Jean-Pierre Aubin
Publisher: Courier Corporation
Published: 2007-01-01
Total Pages: 658
ISBN-13: 048646265X
DOWNLOAD EBOOK →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: Anjan Mukherji
Publisher: OUP India
Published: 2011-02-03
Total Pages: 0
ISBN-13: 9780198069973
DOWNLOAD EBOOK →This textbook for postgraduate students learning mathematical methods in economics provides a comprehensive account of mathematics required to analyse and solve problems of choice encountered by economists. It looks at a wide variety of decision-making problems, both static and dynamic, in various contexts and provides mathematical foundations for the relevant economic theory.
Author: Michael Carter
Publisher: MIT Press
Published: 2001-10-26
Total Pages: 678
ISBN-13: 9780262531924
DOWNLOAD EBOOK →This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.
Author: James C. Moore
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 344
ISBN-13: 3662085445
DOWNLOAD EBOOK →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: Mik Wisniewski
Publisher: McGraw-Hill Book Company Limited
Published: 1996
Total Pages: 375
ISBN-13: 9780077091095
DOWNLOAD EBOOK →This text introduces undergraduate students studying economics to a useful set of analytical tools and mathematical techniques.
Author: Jacob T. Schwartz
Publisher: Courier Dover Publications
Published: 2018-11-14
Total Pages: 305
ISBN-13: 0486828034
DOWNLOAD EBOOK →An early but still useful and frequently cited contribution to the science of mathematical economics, this volume is geared toward graduate students in the field. Prerequisites include familiarity with the basic theory of matrices and linear transformations and with elementary calculus. Author Jacob T. Schwartz begins his treatment with an exploration of the Leontief input-output model, which forms a general framework for subsequent material. An introductory treatment of price theory in the Leontief model is followed by an examination of the business-cycle theory, following ideas pioneered by Lloyd Metzler and John Maynard Keynes. In the final section, Schwartz applies the teachings of previous chapters to a critique of the general equilibrium approach devised by Léon Walras as the theory of supply and demand, and he synthesizes the notions of Walras and Keynes. 1961 edition.
Author: A. Simonovits
Publisher: Springer
Published: 2000-06-05
Total Pages: 318
ISBN-13: 0230513530
DOWNLOAD EBOOK →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: Edward T. Dowling
Publisher: McGraw Hill Professional
Published: 2009-12-18
Total Pages: 396
ISBN-13: 0071702466
DOWNLOAD EBOOK →Confused by the math of business and economics? Problem solved. Schaum's Outline of Mathematical Methods for Business and Economics reviews the mathematical tools, topics, and techniques essential for success in business and economics today. The theory and solved problem format of each chapter provides concise explanations illustrated by examples, plus numerous problems with fully worked-out solutions. And you don't have to know advanced math beyond what you learned high school. The pedagogy enables you to progress at your own pace and adapt the book to your own needs.
Author: Martin Anthony
Publisher: Cambridge University Press
Published: 1996-07-13
Total Pages:
ISBN-13: 1139643266
DOWNLOAD EBOOK →Mathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.
