Essential mathematics for economics / (Record no. 46010)

MARC details
000 -LEADER
fixed length control field 05161cam a22004578i 4500
003 - CONTROL NUMBER IDENTIFIER
control field FlBoTFG
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20251022155541.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240603s2024 flu ob 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781032698953
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1032698950
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9781032680309
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9781032698946
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781040133866
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 104013386X
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781040133842
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1040133843
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 103268030X
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 1032698942
041 ## - LANGUAGE CODE
Language English
072 #7 - SUBJECT CATEGORY CODE
Subject category code BUS
Subject category code subdivision 091000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code BUS
Subject category code subdivision 021000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code BUS
Subject category code subdivision 044000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBW
Source bicssc
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 330.015
Edition number 23/eng/20240911
Item number TOD
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Toda, Alexis Akira,
245 10 - TITLE STATEMENT
Title Essential mathematics for economics /
Statement of responsibility, etc Alexis Akira Toda, Emory University, USA.
250 ## - EDITION STATEMENT
Edition statement First edition.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher, distributor, etc Chapman & Hall,
Date of publication, distribution, etc 2025.
300 ## - PHYSICAL DESCRIPTION
Extent 308 Pages :
Other physical details 36 B/W Illustrations ;
505 ## - FORMATTED CONTENTS NOTE
Contents 0. Roadmap. Section I. Introduction to Optimization. 1. Existence of Solutions. 1.1. Introduction. 1.2. The Real Number System. 1.3. Convergence of Sequences. 1.4. The Space rn. 1.5. Topology of rn. 1.6. Continuous Functions. 1.7. Extreme Value Theorem. 1.A. Topological Space. 2. One-Variable Optimization. 2.1. Introduction. 2.2. Differentiation. 2.3. Necessary Condition. 2.4. Mean Value and Taylor’s Theorem. 2.5. Sufficient Condition. 2.6. Optimal Savings Problem. 3. Multi-Variable Unconstrained Optimization. 3.1. Introduction. 3.2. Linear Maps and Matrices. 3.3. Differentiation. 3.4. Chain Rule. 3.5. Necessary Condition. 4. Introduction to Constrained Optimization. 4.1. Introduction. 4.2. One Linear Constraint. 4.3. Multiple Linear Constraints. 4.4. Karush-Kuhn-Tucker Theorem. 4.5. Inequality and Equality Constraints. 4.6. Constrained Maximization. 4.7. Dropping Nonnegativity Constraints. Section II. Matrix and Nonlinear Analysis. 5. Vector Space, Matrix, and Determinant. 5.1. Introduction. 5.2. Vector Space. 5.3. Solving Linear Equations. 5.4. Determinant. 6. Spectral Theory. 6.1. Introduction. 6.2. Eigenvalue and Eigenvector. 6.3. Diagonalization. 6.4. Inner Product and Norm. 6.5. Upper Triangularization. 6.6. Positive Definite Matrices. 6.7. Second-Order Optimality Condition. 6.8. Matrix Norm and Spectral Radius. 7. Metric Space and Contraction. 7.1. Metric Space. 7.2. Completeness and Banach Space. 7.3. Contraction Mapping Theorem. 7.4. Blackwell’s Sufficient Condition. 7.5. Perov Contraction. 7.6. Parametric Continuity of Fixed Point. 8. Implicit Function and Stable Manifold Theorem. 8.1. Introduction. 8.2. Inverse Function Theorem. 8.3. Implicit Function Theorem. 8.4. Optimal Savings Problem. 8.5. Optimal Portfolio Problem. 8.6. Stable Manifold Theorem. 8.7. Overlapping Generations Model. 9. Nonnegative Matrices. 9.1. Introduction. 9.2. Markov Chain. 9.3. Perron’s Theorem. 9.4. Irreducible Nonnegative Matrices. 9.5. Metzler Matrices. Section III. Convex and Nonlinear Optimization. 10. Convex Sets. 10.1. Convex Sets. 10.2. Convex Hull. 10.3. Hyperplanes and Half Spaces. 10.4. Separation of Convex Sets. 10.5. Cone and Dual Cone. 10.6. No-Arbitrage Asset Pricing. 11. Convex Functions. 11.1. Convex and Quasi-Convex Functions. 11.2. Convexity-Preserving Operations. 11.3. Differential Characterization. 11.4. Continuity of Convex Functions. 11.5. Homogeneous Quasi-Convex Functions. 11.6. Log-Convex Functions. 12. Nonlinear Programming. 12.1. Introduction. 12.2. Necessary Condition. 12.3. Karush-Kuhn-Tucker Theorem. 12.4. Constraint Qualifications. 12.5. Saddle Point Theorem. 12.6. Duality. 12.7. Sufficient Conditions. 12.8. Parametric Differentiability. 12.9. Parametric Continuity. Section IV. Dynamic Optimization. 13. Introduction to Dynamic Programming. 13.1. Introduction. 13.2. Knapsack Problem. 13.3. Shortest Path Problem. 13.4. Optimal Savings Problem. 13.5. Optimal Stopping Problem. 13.6. Secretary Problem. 13.7. Abstract Formulation. 14. Contraction Methods. 14.1. Introduction. 14.2. Markov Dynamic Program. 14.3. Sequential and Recursive Formulations. 14.4. Properties of Value Function. 14.5. Restricting Spaces. 14.6. State-Dependent Discounting. 14.7. Weighted Supremum Norm. 14.8. Numerical Dynamic Programming. 15. Variational Methods. 15.1. Introduction. 15.2. Euler Equation. 15.3. Transversality Condition. 15.4. Stochastic Case. 15.5. Optimal Savings Problem.
520 ## - SUMMARY, ETC.
Summary, etc "Essential Mathematics for Economics covers mathematical topics that are essential for economic analysis in a concise but rigorous fashion. The book covers selected topics such as linear algebra, real analysis, convex analysis, constrained optimization, dynamic programming, and numerical analysis in a single volume. The book is entirely self-contained, and almost all propositions are proved"--
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Economics, Mathematical.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Economics
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ezproxy.lib.gla.ac.uk/login?url=https://www.taylorfrancis.com/books/9781032698953">https://ezproxy.lib.gla.ac.uk/login?url=https://www.taylorfrancis.com/books/9781032698953</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type General Books
100 1# - MAIN ENTRY--PERSONAL NAME
Relator term author.
506 ## - RESTRICTIONS ON ACCESS NOTE
Terms governing access Access restricted to subscribing institutions.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
General subdivision Mathematical models.
856 40 - ELECTRONIC LOCATION AND ACCESS
Public note Connect to resource
907 ## - LOCAL DATA ELEMENT G, LDG (RLIN)
a .b41854925
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Location Shelving location Date of Cataloging Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Dewey Decimal Classification     Non-fiction CUTN Central Library CUTN Central Library Social Sciences 22/10/2025   330.015 TOD 54574 22/10/2025 22/10/2025 General Books