Mathematics for Economic Analysis, authored by Knut Sydsaeter and Peter J. Hammond, is a comprehensive book that gives us an introduction to mathematical analysis and linear algebra. It discusses the application of mathematical ideas, and comprises examples and problems for better understanding of the subject.
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Table of Content

Introduction.
Functions of One Variable: Introduction.
Polynomials, Powers, and Exponentials.
Single Variable Differentiation.
More on Differentiation.
Limits, Continuity, and Series.
Implications of Continuity and Differentiability.
Exponential and Logarithmic Functions.
Single Variable Optimization.
Integration.
Further Topics in Integration.
Linear Algebra: Vectors and Matrices.
Determinants and Matrix Inversion.
Further Topics in Linear Algebra.
Functions of Several Variables.
Toolkit for Comparative Statics.
Multivariable Optimization.
Constrained Optimization.
Linear Programming.
Difference Equations.
Differential Equations.