Mathematics for Economics (3版)

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Mathematics for Economics 3/e (H) 作者：Michael Hoy, John Livernois, Chris Mckenna, Ray Rees, Ray Stengos ISBN：9780262015073 版次：3 年份：2011 出版商：The MIT Press 頁數/規格：974頁/精裝單色 Description This text offers a comprehensive presentation of the mathematics required to tackle problems in economic analysis. To give a better understanding of the mathematical concepts, the text follows the logic of the development of mathematics rather than that of an economics course. The only prerequisite is high school algebra, but the book goes on to cover all the mathematics needed for undergraduate economics. It is also a useful reference for graduate students. After a review of the fundamentals of sets, numbers, and functions, the book covers limits and continuity, the calculus of functions of one variable, linear algebra, multivariate calculus, and dynamics. To develop the student’s problem-solving skills, the book works through a large number of examples and economic applications. This streamlined third edition offers an array of new and updated examples. [Some of the lengthier proofs and examples have been moved to the book’s Web site. This combination of formats allows the authors to add content without expanding the physical size of the book. The book and the Web material are integral to each other; examples and figures on the Web are cross-referenced in the text. A student solutions manual will be available in e-book form. Instructors will be able to access online instructor’s material that includes Power Point slides. Table of Contents Part I Introduction and Fundamentals 1 Introduction 2 Review of Fundamentals 3 Sequences, Series, and Limits Part II Univariate Calculus and Optimization 4 Continuity of Functions 5 The Derivative and Differential for Functions of One Variable 6 Optimization of Functions of One Variable Part III Linear Algebra 7 Systems of Linear Equations 8 Matrices 9 Determinants and the Inverse Matrix 10 Some Advanced Topics in Linear Algebra Part IV Multivariate Calculus 11 Calculus for Functions of n-Variables 12 Optimization of Functions of n-Variables 13 Constrained Optimization 14 Comparative Statics 15 Concave Programming and the Kuhn-Tucker Conditions Part V Integration and Dynamic Methods 16 Integration 17 An Introduction to Mathematics for Economic Dynamics 18 Linear, First-Order Difference Equations 19 Nonlinear, First-Order Difference Equations 20 Linear, Second-Order Difference Equations 21 Linear, First-Order Differential Equations 22 Nonlinear, First-Order Differential Equations 23 Linear, Second-Order Differential Equations 24 Simultaneous Systems of Differential and Difference Equations 25 Optimal Control Theory