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Mathematics for Economists
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ISBN
:
9788130902425
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Publisher
:
W W Norton & Company
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Subject
:
Business & Management
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Binding
:
Paperback
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Pages
:
954
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Year
:
2006
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495.0
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376.0
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Description
Mathematics for Economists, a new text for advanced undergraduate and beginning graduate students in economics, is a thoroughly modern treatment of the mathematics that underlies economic theory. An abundance of applications to current economic analysis, illustrative diagrams, thought-provoking exercises, careful proofs, and a flexible organization-these are the advantages that Mathematics for Economists brings to today?s classroom
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Author Biography
s Carl Simon is professor of mathematics at the University of Michigan. He received his Ph.D. from Northwestern University and has taught at the University of California, Berkeley, and the University of North Carolina. He is the recipient of many awards for teaching, including the University of Michigan Faculty Recognition Award and the Excellence in Education Award. Lawrence Blume is professor of economics at Cornell University. He received his Ph.D. from the University of California, Berkeley, and has taught at Harvard University?s Kennedy School, the University of Michigan, and the University of Tel Aviv. Table Of Contents Introduction Part I: Variable calculus: Foundations One-Variable Calculus:Applications One-Variable Calculus: Chain Rule Exponents and Logarithms PART II: Linear Algebra Introduction to linear Algebra Systems of Linear Equations Matrix Algebra Determinants: An Overview Euclidean Spaces Linear Independence PART III: Calculus of several variables Limits and open sets Functions of several variables Calculus of several variables Implicil functions and their derivatives PART IV: Optimization Quadratic forms and definite matrices Unconstrained optimization Constrained optimization II Homogeneous and homothetic functions Concave and quasiconcave functions Economic applications PART V: Eigenvalues and dynamics Eigenvalues and eigenvectors Ordinary differential equations: Scalar equations Ordinary differential equations: systems of equations PART VI: Advanced linear algebra Determinants: The details Subspaces attached to a metrix applications of linear independence PART VII: Advanced analysis Limits and compact sets calculus of several variables II PART VIII: Appendices Index
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