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Matrix Algebra for Applied Economics

Author: Shayle R. Searle

Publisher: Wiley-Interscience

Published: 2001-09-13

Total Pages: 0

ISBN-13: 9780471322078

Coverage of matrix algebra for economists and students ofeconomics Matrix Algebra for Applied Economics explains the important tool ofmatrix algebra for students of economics and practicing economists.It includes examples that demonstrate the foundation operations ofmatrix algebra and illustrations of using the algebra for a varietyof economic problems. The authors present the scope and basic definitions of matrices,their arithmetic and simple operations, and describe specialmatrices and their properties, including the analog of division.They provide in-depth coverage of necessary theory and deal withconcepts and operations for using matrices in real-life situations.They discuss linear dependence and independence, as well as rank,canonical forms, generalized inverses, eigenroots, and vectors.Topics of prime interest to economists are shown to be simplifiedusing matrix algebra in linear equations, regression, linearmodels, linear programming, and Markov chains. Highlights include: * Numerous examples of real-world applications * Challenging exercises throughout the book * Mathematics understandable to readers of all backgrounds * Extensive up-to-date reference material Matrix Algebra for Applied Economics provides excellent guidancefor advanced undergraduate students and also graduate students.Practicing economists who want to sharpen their skills will findthis book both practical and easy-to-read, no matter what theirapplied interests.

Linear Algebra for Economists

Author: Fuad Aleskerov

Publisher: Springer Science & Business Media

Published: 2011-08-18

Total Pages: 283

ISBN-13: 3642205704

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This textbook introduces students of economics to the fundamental notions and instruments in linear algebra. Linearity is used as a first approximation to many problems that are studied in different branches of science, including economics and other social sciences. Linear algebra is also the most suitable to teach students what proofs are and how to prove a statement. The proofs that are given in the text are relatively easy to understand and also endow the student with different ways of thinking in making proofs. Theorems for which no proofs are given in the book are illustrated via figures and examples. All notions are illustrated appealing to geometric intuition. The book provides a variety of economic examples using linear algebraic tools. It mainly addresses students in economics who need to build up skills in understanding mathematical reasoning. Students in mathematics and informatics may also be interested in learning about the use of mathematics in economics.

Introduction to Applied Linear Algebra

Author: Stephen Boyd

Publisher: Cambridge University Press

Published: 2018-06-07

Total Pages: 477

ISBN-13: 1316518965

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A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Introduction to Matrix Theory

Author: Ferenc Szidarovszky

Publisher: World Scientific

Published: 2002

Total Pages: 516

ISBN-13: 9789810245139

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In economic modeling and planning, as well as in business, most problems are linear, or approximated by linear models. Such problems are solved by matrix methods, so the material presented in this book is essential to these fields.

Introduction to Mathematical Economics

Author: Richard H. Puckett

Publisher:

Published: 1971

Total Pages: 298

ISBN-13:

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Matrix Algebra

Author: Karim M. Abadir

Publisher: Cambridge University Press

Published: 2005-08-22

Total Pages: 472

ISBN-13: 9780521822893

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Matrix Algebra is the first volume of the Econometric Exercises Series. It contains exercises relating to course material in matrix algebra that students are expected to know while enrolled in an (advanced) undergraduate or a postgraduate course in econometrics or statistics. The book contains a comprehensive collection of exercises, all with full answers. But the book is not just a collection of exercises; in fact, it is a textbook, though one that is organized in a completely different manner than the usual textbook. The volume can be used either as a self-contained course in matrix algebra or as a supplementary text.

Matrices and Their Roots

Author: A R G Heesterman

Publisher: World Scientific Publishing Company

Published: 1990-12-31

Total Pages: 468

ISBN-13: 9813103639

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This textbook addresses itself to two groups of students who need mathematics in an applied context: undergraduates starting at the beginning, and postgraduates who need reference-material, but who, not being mathematics specialists, nevertheless are not best served by an ordinary mathematics textbook, which will generally be at a higher level of abstraction. It gives full proofs throughout, and is illustrated with a large number of numerical examples, reinforcing the student's grasp of the topics covered by exercises and corresponding answersheets, and by the corresponding tutorial program ILLUSTRATE. The program ‘Illustrate’ will run on any IBM compatible micro-computer. The relevant areas of application are economics, econometrics, mathematical programming and engineering.

Basic Mathematics for Economists

Author: Mike Rosser

Publisher: Routledge

Published: 2016-04-28

Total Pages: 723

ISBN-13: 1317280830

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Basic Mathematics for Economists, now in its 3rd edition, is a classic of its genre and this new edition builds on the success of previous editions. Suitable for students who may only have a basic mathematics background, as well as students who may have followed more advanced mathematics courses but who still want a clear explanation of fundamental concepts, this book covers all the basic tenets required for an understanding of mathematics and how it is applied in economics, finance and business. Starting with revisions of the essentials of arithmetic and algebra, students are then taken through to more advanced topics in calculus, comparative statics, dynamic analysis, and matrix algebra, with all topics explained in the context of relevant applications, New features in this third edition reflect the increased emphasis on finance in many economics and related degree courses, with fuller analysis of topics such as: savings and pension schemes, including draw down pensions asset valuation techniques for bond and share prices the application of integration to concepts in economics and finance input-output analysis, using spreadsheets to do matrix algebra calculations In developing new topics the book never loses sight of their applied context and examples are always used to help explain analysis. This book is the most logical, user-friendly book on the market and is usable for mathematics of economics, finance and business courses in all countries.

Matrix Methods

Author: Richard Bronson

Publisher: Academic Press

Published: 2008-09-04

Total Pages: 432

ISBN-13: 9780080922256

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Matrix Methods: Applied Linear Algebra, Third Edition, as a textbook, provides a unique and comprehensive balance between the theory and computation of matrices. The application of matrices is not just for mathematicians. The use by other disciplines has grown dramatically over the years in response to the rapid changes in technology. Matrix methods is the essence of linear algebra and is what is used to help physical scientists; chemists, physicists, engineers, statisticians, and economists solve real world problems. Applications like Markov chains, graph theory and Leontief Models are placed in early chapters Readability- The prerequisite for most of the material is a firm understanding of algebra New chapters on Linear Programming and Markov Chains Appendix referencing the use of technology, with special emphasis on computer algebra systems (CAS) MATLAB

Mathematics for Economics, fourth edition

Author: Michael Hoy

Publisher: MIT Press

Published: 2022-03-29

Total Pages: 1103

ISBN-13: 026236879X

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An updated edition of a widely used textbook, offering a clear and comprehensive presentation of mathematics for undergraduate economics students. This text offers a clear and comprehensive presentation of the mathematics required to tackle problems in economic analyses, providing not only straightforward exposition of mathematical methods for economics students at the intermediate and advanced undergraduate levels but also a large collection of problem sets. This updated and expanded fourth edition contains numerous worked examples drawn from a range of important areas, including economic theory, environmental economics, financial economics, public economics, industrial organization, and the history of economic thought. These help students develop modeling skills by showing how the same basic mathematical methods can be applied to a variety of interesting and important issues. The five parts of the text cover fundamentals, calculus, linear algebra, optimization, and dynamics. The only prerequisite is high school algebra; the book presents all the mathematics needed for undergraduate economics. New to this edition are “Reader Assignments,” short questions designed to test students’ understanding before they move on to the next concept. The book’s website offers additional material, including more worked examples (as well as examples from the previous edition). Separate solutions manuals for students and instructors are also available.