Author: Akihito Asano
Publisher: Cambridge University Press
ISBN: 1107007607
Category : Business & Economics
Languages : en
Pages : 285
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Book Description
A concise, accessible introduction to maths for economics with lots of practical applications to help students learn in context.
Author: Dean Corbae
Publisher: Princeton University Press
ISBN: 1400833086
Category : Business & Economics
Languages : en
Pages : 696
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Book Description
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: Michael Hoy
Publisher: MIT Press
ISBN: 9780262582018
Category : Business & Economics
Languages : en
Pages : 164
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Book Description
This text offers a presentation of the mathematics required to tackle problems in economic analysis. After a review of the fundamentals of sets, numbers, and functions, it covers limits and continuity, the calculus of functions of one variable, linear algebra, multivariate calculus, and dynamics.
Author: Jean Soper
Publisher: Wiley-Blackwell
ISBN: 9781405111270
Category : Business & Economics
Languages : en
Pages : 432
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Book Description
This text offers the ideal approach for economics and business students seeking to understand the mathematics relevant to them. Each chapter demonstrates basic mathematical techniques, while also explaining the economic analysis and business context where each is used. By following the worked examples and tackling the practice problems, students will discover how to use and apply each of these techniques. Now in its second edition, the text features expanded summaries of economic analysis, new sections on matrix algebra and linear programming, and additional demonstrations of economics applications. Demonstrates mathematical techniques while explaining their economic and business applications Engages the reader with numerous worked examples and practice problems Features new sections on matrix algebra and linear programming Includes a companion website with the book, containing the award winning MathEcon software, Excel files, Powerpoint slides, all definitions and 'remember boxes', and additional practice questions
Author: Michael Carter
Publisher: MIT Press
ISBN: 9780262531924
Category : Business & Economics
Languages : en
Pages : 678
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Book Description
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: Ken Holden
Publisher: NYU Press
ISBN: 9780333576496
Category : Business & Economics
Languages : en
Pages : 168
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Book Description
This is a fully revised edition of the successful text, Introductory Mathematics for Economists. Updated throughout, it covers the essential mathematics required by students of economics and business. The emphasis is on applying mathematics rather than providing theorems, and a wide range of applications are covered with detailed answers provided for many of the exercises. The book is structured, and the material deliberately selected, to increase in difficulty as the book progresses. Subjects covered include: algebra; linear equations, with immediate applications in simple economic models of markets and the national economy; natural generalizations of elementary matrix algebra and non-linear equations; applications in finance; the groundwork for calculus; profit maximization for a firm, simple inventory models, and other applications of marginal concepts; integration covering both standard analytical techniques and numerical methods; partial differentiation; linear programming; and dynamic relationships in continuous terms and in discrete terms. Three appendices provide extensive treatment of trigonometric functions, an introduction to set theory, and detailed answers to all exercises provided.
Author: Martin Anthony
Publisher: Cambridge University Press
ISBN: 1139643266
Category : Mathematics
Languages : en
Pages : 414
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Book Description
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.
Author: Jaksa Cvitanic
Publisher: MIT Press
ISBN: 9780262033206
Category : Business & Economics
Languages : en
Pages : 528
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Book Description
An innovative textbook for use in advanced undergraduate and graduate courses; accessible to students in financial mathematics, financial engineering and economics. Introduction to the Economics and Mathematics of Financial Markets fills the longstanding need for an accessible yet serious textbook treatment of financial economics. The book provides a rigorous overview of the subject, while its flexible presentation makes it suitable for use with different levels of undergraduate and graduate students. Each chapter presents mathematical models of financial problems at three different degrees of sophistication: single-period, multi-period, and continuous-time. The single-period and multi-period models require only basic calculus and an introductory probability/statistics course, while an advanced undergraduate course in probability is helpful in understanding the continuous-time models. In this way, the material is given complete coverage at different levels; the less advanced student can stop before the more sophisticated mathematics and still be able to grasp the general principles of financial economics. The book is divided into three parts. The first part provides an introduction to basic securities and financial market organization, the concept of interest rates, the main mathematical models, and quantitative ways to measure risks and rewards. The second part treats option pricing and hedging; here and throughout the book, the authors emphasize the Martingale or probabilistic approach. Finally, the third part examines equilibrium models—a subject often neglected by other texts in financial mathematics, but included here because of the qualitative insight it offers into the behavior of market participants and pricing.
Author: John William Scott Cassels
Publisher: Cambridge University Press
ISBN: 052128614X
Category : Business & Economics
Languages : en
Pages : 161
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Book Description
This is the expanded notes of a course intended to introduce students specializing in mathematics to some of the central ideas of traditional economics. The book should be readily accessible to anyone with some training in university mathematics; more advanced mathematical tools are explained in the appendices. Thus this text could be used for undergraduate mathematics courses or as supplementary reading for students of mathematical economics.
Author: Kelvin Lancaster
Publisher: Courier Corporation
ISBN: 0486145042
Category : Mathematics
Languages : en
Pages : 450
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Book Description
Graduate-level text provides complete and rigorous expositions of economic models analyzed primarily from the point of view of their mathematical properties, followed by relevant mathematical reviews. Part I covers optimizing theory; Parts II and III survey static and dynamic economic models; and Part IV contains the mathematical reviews, which range fromn linear algebra to point-to-set mappings.
