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Author: Angel de la Fuente
Publisher: Cambridge University Press
Published: 2000-01-28
Total Pages: 630
ISBN-13: 9780521585293
DOWNLOAD EBOOKA 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 EBOOKMathematical 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 EBOOKThis 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 EBOOKThis 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: Norman Schofield
Publisher: Studies in Economic Theory
Published: 2003-02-12
Total Pages: 320
ISBN-13:
DOWNLOAD EBOOKIn recent years, the usual optimization techniques, which have proved so useful in microeconomic theory, have been extended to incorporate more powerful topological and differential methods, and these methods have led to new results on the qualitative behavior of general economic and political systems. These developments have necessarily resulted in an increase in the degree of formalism in the publications in the academic journals. This formalism can often deter graduate students. The progression of ideas presented in this book will familiarize the student with the geometric concepts underlying these topological methods, and, as a result, make mathematical economics, general equilibrium theory, and social choice theory more accessible.
Author: Stephen Glaister
Publisher: Wiley-Blackwell
Published: 1991-01-15
Total Pages: 272
ISBN-13: 9780631137122
DOWNLOAD EBOOKAuthor: J. Colin Glass
Publisher:
Published: 1980
Total Pages: 300
ISBN-13: 9780070841109
DOWNLOAD EBOOKAuthor: Mik Wisniewski
Publisher: McGraw-Hill Book Company Limited
Published: 1996
Total Pages: 375
ISBN-13: 9780077091095
DOWNLOAD EBOOKThis text introduces undergraduate students studying economics to a useful set of analytical tools and mathematical techniques.
Author: A. Simonovits
Publisher: Springer
Published: 2000-06-05
Total Pages: 308
ISBN-13: 0230513530
DOWNLOAD EBOOKThis 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: Joel N. Franklin
Publisher: Springer
Published: 2013-06-29
Total Pages: 307
ISBN-13: 3662253178
DOWNLOAD EBOOKIn 1924 the firm of Julius Springer published the first volume of Methods of Mathematical Physics by Richard Courant and David Hilbert. In the preface, Courant says this: Since the seventeenth century, physical intuition has served as a vital source for mathematical problems and methods. Recent trends and fashions have, however, weakened the connection between mathematics and physics; mathematicians, turning away from the roots of mathematics in intuition, have concentrated on refinement and emphasized the postulational side of mathematics, and at times have overlooked the unity of their science with physics and other fields. In many cases, physicists have ceased to appreciate the attitudes of mathematicians. This rift is unquestionably a serious threat to science as a whole; the broad stream of scientific development may split into smaller and smaller rivulets and dry out. It seems therefore important to direct our efforts toward reuniting divergent trends by clarifying the common features and interconnections of many distinct and diverse scientific facts. Only thus can the student attain some mastery of the material and the basis be prepared for further organic development of research. The present work is designed to serve this purpose for the field of mathe matical physics . . . . Completeness is not attempted, but it is hoped that access to a rich and important field will be facilitated by the book. When I was a student, the book of Courant and Hilbert was my bible.
