Schaum's outline of mathematical methods for business, economics and finance:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York
McGraw-Hill
[2022]
|
| Ausgabe: | Second edition |
| Schriftenreihe: | Schaum's outline series
|
| Schlagworte: | |
| Online-Zugang: | FHD01 |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781264266883 |
Internformat
MARC
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| 100 | 1 | |a Peña-Lévano, Luis Moisés |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Schaum's outline of mathematical methods for business, economics and finance |c Luis Moisés Peña-Lévano, PhD |
| 246 | 1 | 3 | |a Mathematical methods for business, economics and finance |
| 250 | |a Second edition | ||
| 264 | 1 | |a New York |b McGraw-Hill |c [2022] | |
| 300 | |a 1 Online-Ressource | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Schaum's outline series | |
| 505 | 8 | |a Cover -- Title Page -- Copyright Page -- Preface -- Contents -- Chapter 1 REVIEW -- 1.1 Exponents -- 1.2 Polynomials -- 1.3 Factoring -- 1.4 Fractions -- 1.5 Radicals -- 1.6 Order of Mathematical Operations -- 1.7 Use of a Pocket Calcular -- Chapter 2 EQUATIONS AND GRAPHS -- 2.1 Equations -- 2.2 Cartesian Coordinate System -- 2.3 Linear Equations and Graphs -- 2.4 Slopes -- 2.5 Intercepts -- 2.6 The Slope-Intercept Form -- 2.7 Determining the Equation of a Straight-Line -- 2.8 Applications of Linear Equations in Business and Economics -- Chapter 3 FUNCTIONS -- 3.1 Concepts and Definitions -- 3.2 Graphing Functions -- 3.3 The Algebra of Functions -- 3.4 Applications of Linear Functions for Business and Economics -- 3.5 Solving Quardratic Equations -- 3.6 Facilitating Nonlinear Graphing -- 3.7 Applications of Nonlinear Functions in Business and Economics -- Chapter 4 SYSTEM OF EQUATIONS -- 4.1 Introduction -- 4.2 Graphical Solutions -- 4.3 Supply-and-Demand Analysis -- | |
| 505 | 8 | |a 4.4 Break-Even Analysis -- 4.5 Elimination and Substitution Methods -- 4.6 Income Determination Models -- 4.7 IS-LM Analysis -- 4.8 Economic and Mathematical Modeling (Optional) -- 4.9 Implicit Functions and Inverse Functions (Optional) -- Chapter 5 LINEAR (OR MATRIX) ALGEBRA -- 5.1 Introduction -- 5.2 Definitions and Terms -- 5.3 Addition and Subtraction of Matrices -- 5.4 Scalar Multiplication -- 5.5 Vector Multiplication -- 5.6 Multiplication of Matrices -- 5.7 Matrix Expression of a System of Linear Equations -- 5.8 Augmented Matrix -- 5.9 Row Operations -- 5.10 Gaussian Method of Solving Linear Equations -- Chapter 6 SOLVING LINEAR EQUATIONS WITH MATRIX ALGEBRA -- 6.1 Determinants and Linear Independence -- 6.2 Third-Order Determinants -- 6.3 Cramer's Rule for Solving Linear Equations -- 6.4 Inverse Matrices -- 6.5 Gaussian Method of Finding an Inverse Matrix -- 6.6 Solving Linear Equations with an Inverse Matrix -- 6.7 Business and Economic Applications -- | |
| 505 | 8 | |a 6.8 Special Determinants -- Chapter 7 LINEAR PROGRAMMING: USING GRAPHS -- 7.1 Use of Graphs -- 7.2 Maximization Using Graphs -- 7.3 The Extreme-Point Theorem -- 7.4 Minimization Using Graphs -- 7.5 Slack and Surplus Variables -- 7.6 The Basis Theorem -- Chapter 8 LINEAR PROGRAMMING: THE SIMPLEX ALGORITHM AND THE DUAL -- 8.1 The Simplex Algorithm -- 8.2 Maximization -- 8.3 Marginal Value or Shadow Pricing -- 8.4 Minimization -- 8.5 The Dual -- 8.6 Rules of Transformation to Obtain the Dual -- 8.7 The Dual Theorems -- 8.8 Shadow Prices in the Dual -- 8.9 Integer Programming -- 8.10 Zero-One Programming -- Chapter 9 DIFFERENTIAL CALCULUS: THE DERIVATIVE AND THE RULES OF DIFFERENTIATION -- 9.1 Limits -- 9.2 Continuity -- 9.3 The Slope of a Curvilinear Function -- 9.4 The Derivative -- 9.5 Differentiability and Continuity -- 9.6 Derivative Notation -- 9.7 Rules of Differentiation -- 9.8 Higher-Order Derivatives -- 9.9 Implicit Functions -- | |
| 505 | 8 | |a Chapter 10 DIFFERENTIAL CALCULUS: USES OF THE DERIVATIVE -- 10.1 Increasing and Decreasing Functions -- 10.2 Concavity and Convexity -- 10.3 Relative Extrema -- 10.4 Inflection Points -- 10.5 Curve Sketching -- 10.6 Optimization of Functions -- 10.7 The Successive-Derivative Test -- 10.8 Marginal Concepts in Economics -- 10.9 Optimizing Economic Functions for Business -- 10.10 Relationships Among Total, Marginal, and Average Functions -- Chapter 11 EXPONENTIAL AND LOGARITHMIC FUNCTIONS -- 11.1 Exponential Functions -- 11.2 Logarithmic Functions -- 11.3 Properties of Exponents and Logarithms -- 11.4 Natural Exponential and Logarithmic Functions -- 11.5 Solving Natural Exponential and Logarithmic Functions -- 11.6 Logarithmic Transformation of Nonlinear Functions -- 11.7 Derivatives of Natural Exponential and Logarithmic Functions -- 11.8 Interest Compounding -- 11.9 Estimating Growth Rates from Data Points -- Chapter 12 INTEGRAL CALCULUS -- 12.1 Integration -- | |
| 505 | 8 | |a 12.2 Rules for Indefinite Integrals -- 12.3 Area Under a Curve -- 12.4 The Definite Integral -- 12.5 The Fundamental Theorem of Calculus -- 12.6 Properties of Definite Integrals -- 12.7 Area Between Curves -- 12.8 Integration by Substitution -- 12.9 Integration by Parts -- 12.10 Present Value of a Cash Flow -- 12.11 Consumers' and Producers' Surplus -- Chapter 13 CALCULUS OF MULTIVARIABLE FUNCTIONS -- 13.1 Functions of Several Independent Variables -- 13.2 Partial Derivatives -- 13.3 Rules of Partial Differentiation -- 13.4 Second-Order Partial Derivatives -- 13.5 Optimization of Multivariable Functions -- 13.6 Constrained Optimization with Lagrange Multipliers -- 13.7 Income Determination Multipliers -- 13.8 Optimizing Multivariable Functions in Business and Economics -- 13.9 Constrained Optimization of Multivariable Economic Functions -- 13.10 Constrained Optimization of Cobb-Douglas Production Functions -- 13.11 Implicit and Inverse Function Rules (Optional) -- | |
| 505 | 8 | |a Chapter 14 SEQUENCES AND SERIES -- 14.1 Sequences -- 14.2 Representation of Elements -- 14.3 Series and Summations -- 14.4 Property of Summations -- 14.5 Special Formulas of Summations -- 14.6 Economics Applications: Mean and Variance -- 14.7 Infinite Series -- 14.8 Finance Applications: Net Present Value -- EXCEL PRACTICE A -- EXCEL PRACTICE B -- ADDITIONAL PRACTICE PROBLEMS -- ADDITIONAL PRACTICE PROBLEMS: SOLUTIONS -- INDEX. | |
| 650 | 4 | |a Economics, Mathematical | |
| 650 | 4 | |a Business mathematics | |
| 650 | 4 | |a Mathématiques financières | |
| 650 | 7 | |a Business mathematics |2 fast | |
| 650 | 7 | |a Economics, Mathematical |2 fast | |
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Datensatz im Suchindex
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| author | Peña-Lévano, Luis Moisés |
| author_facet | Peña-Lévano, Luis Moisés |
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| author_sort | Peña-Lévano, Luis Moisés |
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| bvnumber | BV049611343 |
| collection | ZDB-30-PQE |
| contents | Cover -- Title Page -- Copyright Page -- Preface -- Contents -- Chapter 1 REVIEW -- 1.1 Exponents -- 1.2 Polynomials -- 1.3 Factoring -- 1.4 Fractions -- 1.5 Radicals -- 1.6 Order of Mathematical Operations -- 1.7 Use of a Pocket Calcular -- Chapter 2 EQUATIONS AND GRAPHS -- 2.1 Equations -- 2.2 Cartesian Coordinate System -- 2.3 Linear Equations and Graphs -- 2.4 Slopes -- 2.5 Intercepts -- 2.6 The Slope-Intercept Form -- 2.7 Determining the Equation of a Straight-Line -- 2.8 Applications of Linear Equations in Business and Economics -- Chapter 3 FUNCTIONS -- 3.1 Concepts and Definitions -- 3.2 Graphing Functions -- 3.3 The Algebra of Functions -- 3.4 Applications of Linear Functions for Business and Economics -- 3.5 Solving Quardratic Equations -- 3.6 Facilitating Nonlinear Graphing -- 3.7 Applications of Nonlinear Functions in Business and Economics -- Chapter 4 SYSTEM OF EQUATIONS -- 4.1 Introduction -- 4.2 Graphical Solutions -- 4.3 Supply-and-Demand Analysis -- 4.4 Break-Even Analysis -- 4.5 Elimination and Substitution Methods -- 4.6 Income Determination Models -- 4.7 IS-LM Analysis -- 4.8 Economic and Mathematical Modeling (Optional) -- 4.9 Implicit Functions and Inverse Functions (Optional) -- Chapter 5 LINEAR (OR MATRIX) ALGEBRA -- 5.1 Introduction -- 5.2 Definitions and Terms -- 5.3 Addition and Subtraction of Matrices -- 5.4 Scalar Multiplication -- 5.5 Vector Multiplication -- 5.6 Multiplication of Matrices -- 5.7 Matrix Expression of a System of Linear Equations -- 5.8 Augmented Matrix -- 5.9 Row Operations -- 5.10 Gaussian Method of Solving Linear Equations -- Chapter 6 SOLVING LINEAR EQUATIONS WITH MATRIX ALGEBRA -- 6.1 Determinants and Linear Independence -- 6.2 Third-Order Determinants -- 6.3 Cramer's Rule for Solving Linear Equations -- 6.4 Inverse Matrices -- 6.5 Gaussian Method of Finding an Inverse Matrix -- 6.6 Solving Linear Equations with an Inverse Matrix -- 6.7 Business and Economic Applications -- 6.8 Special Determinants -- Chapter 7 LINEAR PROGRAMMING: USING GRAPHS -- 7.1 Use of Graphs -- 7.2 Maximization Using Graphs -- 7.3 The Extreme-Point Theorem -- 7.4 Minimization Using Graphs -- 7.5 Slack and Surplus Variables -- 7.6 The Basis Theorem -- Chapter 8 LINEAR PROGRAMMING: THE SIMPLEX ALGORITHM AND THE DUAL -- 8.1 The Simplex Algorithm -- 8.2 Maximization -- 8.3 Marginal Value or Shadow Pricing -- 8.4 Minimization -- 8.5 The Dual -- 8.6 Rules of Transformation to Obtain the Dual -- 8.7 The Dual Theorems -- 8.8 Shadow Prices in the Dual -- 8.9 Integer Programming -- 8.10 Zero-One Programming -- Chapter 9 DIFFERENTIAL CALCULUS: THE DERIVATIVE AND THE RULES OF DIFFERENTIATION -- 9.1 Limits -- 9.2 Continuity -- 9.3 The Slope of a Curvilinear Function -- 9.4 The Derivative -- 9.5 Differentiability and Continuity -- 9.6 Derivative Notation -- 9.7 Rules of Differentiation -- 9.8 Higher-Order Derivatives -- 9.9 Implicit Functions -- Chapter 10 DIFFERENTIAL CALCULUS: USES OF THE DERIVATIVE -- 10.1 Increasing and Decreasing Functions -- 10.2 Concavity and Convexity -- 10.3 Relative Extrema -- 10.4 Inflection Points -- 10.5 Curve Sketching -- 10.6 Optimization of Functions -- 10.7 The Successive-Derivative Test -- 10.8 Marginal Concepts in Economics -- 10.9 Optimizing Economic Functions for Business -- 10.10 Relationships Among Total, Marginal, and Average Functions -- Chapter 11 EXPONENTIAL AND LOGARITHMIC FUNCTIONS -- 11.1 Exponential Functions -- 11.2 Logarithmic Functions -- 11.3 Properties of Exponents and Logarithms -- 11.4 Natural Exponential and Logarithmic Functions -- 11.5 Solving Natural Exponential and Logarithmic Functions -- 11.6 Logarithmic Transformation of Nonlinear Functions -- 11.7 Derivatives of Natural Exponential and Logarithmic Functions -- 11.8 Interest Compounding -- 11.9 Estimating Growth Rates from Data Points -- Chapter 12 INTEGRAL CALCULUS -- 12.1 Integration -- 12.2 Rules for Indefinite Integrals -- 12.3 Area Under a Curve -- 12.4 The Definite Integral -- 12.5 The Fundamental Theorem of Calculus -- 12.6 Properties of Definite Integrals -- 12.7 Area Between Curves -- 12.8 Integration by Substitution -- 12.9 Integration by Parts -- 12.10 Present Value of a Cash Flow -- 12.11 Consumers' and Producers' Surplus -- Chapter 13 CALCULUS OF MULTIVARIABLE FUNCTIONS -- 13.1 Functions of Several Independent Variables -- 13.2 Partial Derivatives -- 13.3 Rules of Partial Differentiation -- 13.4 Second-Order Partial Derivatives -- 13.5 Optimization of Multivariable Functions -- 13.6 Constrained Optimization with Lagrange Multipliers -- 13.7 Income Determination Multipliers -- 13.8 Optimizing Multivariable Functions in Business and Economics -- 13.9 Constrained Optimization of Multivariable Economic Functions -- 13.10 Constrained Optimization of Cobb-Douglas Production Functions -- 13.11 Implicit and Inverse Function Rules (Optional) -- Chapter 14 SEQUENCES AND SERIES -- 14.1 Sequences -- 14.2 Representation of Elements -- 14.3 Series and Summations -- 14.4 Property of Summations -- 14.5 Special Formulas of Summations -- 14.6 Economics Applications: Mean and Variance -- 14.7 Infinite Series -- 14.8 Finance Applications: Net Present Value -- EXCEL PRACTICE A -- EXCEL PRACTICE B -- ADDITIONAL PRACTICE PROBLEMS -- ADDITIONAL PRACTICE PROBLEMS: SOLUTIONS -- INDEX. |
| ctrlnum | (OCoLC)1427328655 (DE-599)BVBBV049611343 |
| edition | Second edition |
| format | Electronic eBook |
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| id | DE-604.BV049611343 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T23:36:15Z |
| indexdate | 2024-07-10T10:12:05Z |
| institution | BVB |
| isbn | 9781264266883 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034955556 |
| oclc_num | 1427328655 |
| open_access_boolean | |
| owner | DE-1050 |
| owner_facet | DE-1050 |
| physical | 1 Online-Ressource |
| psigel | ZDB-30-PQE ZDB-30-PQE FHD01_PQE_Kauf |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | McGraw-Hill |
| record_format | marc |
| series2 | Schaum's outline series |
| spelling | Peña-Lévano, Luis Moisés Verfasser aut Schaum's outline of mathematical methods for business, economics and finance Luis Moisés Peña-Lévano, PhD Mathematical methods for business, economics and finance Second edition New York McGraw-Hill [2022] 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Schaum's outline series Cover -- Title Page -- Copyright Page -- Preface -- Contents -- Chapter 1 REVIEW -- 1.1 Exponents -- 1.2 Polynomials -- 1.3 Factoring -- 1.4 Fractions -- 1.5 Radicals -- 1.6 Order of Mathematical Operations -- 1.7 Use of a Pocket Calcular -- Chapter 2 EQUATIONS AND GRAPHS -- 2.1 Equations -- 2.2 Cartesian Coordinate System -- 2.3 Linear Equations and Graphs -- 2.4 Slopes -- 2.5 Intercepts -- 2.6 The Slope-Intercept Form -- 2.7 Determining the Equation of a Straight-Line -- 2.8 Applications of Linear Equations in Business and Economics -- Chapter 3 FUNCTIONS -- 3.1 Concepts and Definitions -- 3.2 Graphing Functions -- 3.3 The Algebra of Functions -- 3.4 Applications of Linear Functions for Business and Economics -- 3.5 Solving Quardratic Equations -- 3.6 Facilitating Nonlinear Graphing -- 3.7 Applications of Nonlinear Functions in Business and Economics -- Chapter 4 SYSTEM OF EQUATIONS -- 4.1 Introduction -- 4.2 Graphical Solutions -- 4.3 Supply-and-Demand Analysis -- 4.4 Break-Even Analysis -- 4.5 Elimination and Substitution Methods -- 4.6 Income Determination Models -- 4.7 IS-LM Analysis -- 4.8 Economic and Mathematical Modeling (Optional) -- 4.9 Implicit Functions and Inverse Functions (Optional) -- Chapter 5 LINEAR (OR MATRIX) ALGEBRA -- 5.1 Introduction -- 5.2 Definitions and Terms -- 5.3 Addition and Subtraction of Matrices -- 5.4 Scalar Multiplication -- 5.5 Vector Multiplication -- 5.6 Multiplication of Matrices -- 5.7 Matrix Expression of a System of Linear Equations -- 5.8 Augmented Matrix -- 5.9 Row Operations -- 5.10 Gaussian Method of Solving Linear Equations -- Chapter 6 SOLVING LINEAR EQUATIONS WITH MATRIX ALGEBRA -- 6.1 Determinants and Linear Independence -- 6.2 Third-Order Determinants -- 6.3 Cramer's Rule for Solving Linear Equations -- 6.4 Inverse Matrices -- 6.5 Gaussian Method of Finding an Inverse Matrix -- 6.6 Solving Linear Equations with an Inverse Matrix -- 6.7 Business and Economic Applications -- 6.8 Special Determinants -- Chapter 7 LINEAR PROGRAMMING: USING GRAPHS -- 7.1 Use of Graphs -- 7.2 Maximization Using Graphs -- 7.3 The Extreme-Point Theorem -- 7.4 Minimization Using Graphs -- 7.5 Slack and Surplus Variables -- 7.6 The Basis Theorem -- Chapter 8 LINEAR PROGRAMMING: THE SIMPLEX ALGORITHM AND THE DUAL -- 8.1 The Simplex Algorithm -- 8.2 Maximization -- 8.3 Marginal Value or Shadow Pricing -- 8.4 Minimization -- 8.5 The Dual -- 8.6 Rules of Transformation to Obtain the Dual -- 8.7 The Dual Theorems -- 8.8 Shadow Prices in the Dual -- 8.9 Integer Programming -- 8.10 Zero-One Programming -- Chapter 9 DIFFERENTIAL CALCULUS: THE DERIVATIVE AND THE RULES OF DIFFERENTIATION -- 9.1 Limits -- 9.2 Continuity -- 9.3 The Slope of a Curvilinear Function -- 9.4 The Derivative -- 9.5 Differentiability and Continuity -- 9.6 Derivative Notation -- 9.7 Rules of Differentiation -- 9.8 Higher-Order Derivatives -- 9.9 Implicit Functions -- Chapter 10 DIFFERENTIAL CALCULUS: USES OF THE DERIVATIVE -- 10.1 Increasing and Decreasing Functions -- 10.2 Concavity and Convexity -- 10.3 Relative Extrema -- 10.4 Inflection Points -- 10.5 Curve Sketching -- 10.6 Optimization of Functions -- 10.7 The Successive-Derivative Test -- 10.8 Marginal Concepts in Economics -- 10.9 Optimizing Economic Functions for Business -- 10.10 Relationships Among Total, Marginal, and Average Functions -- Chapter 11 EXPONENTIAL AND LOGARITHMIC FUNCTIONS -- 11.1 Exponential Functions -- 11.2 Logarithmic Functions -- 11.3 Properties of Exponents and Logarithms -- 11.4 Natural Exponential and Logarithmic Functions -- 11.5 Solving Natural Exponential and Logarithmic Functions -- 11.6 Logarithmic Transformation of Nonlinear Functions -- 11.7 Derivatives of Natural Exponential and Logarithmic Functions -- 11.8 Interest Compounding -- 11.9 Estimating Growth Rates from Data Points -- Chapter 12 INTEGRAL CALCULUS -- 12.1 Integration -- 12.2 Rules for Indefinite Integrals -- 12.3 Area Under a Curve -- 12.4 The Definite Integral -- 12.5 The Fundamental Theorem of Calculus -- 12.6 Properties of Definite Integrals -- 12.7 Area Between Curves -- 12.8 Integration by Substitution -- 12.9 Integration by Parts -- 12.10 Present Value of a Cash Flow -- 12.11 Consumers' and Producers' Surplus -- Chapter 13 CALCULUS OF MULTIVARIABLE FUNCTIONS -- 13.1 Functions of Several Independent Variables -- 13.2 Partial Derivatives -- 13.3 Rules of Partial Differentiation -- 13.4 Second-Order Partial Derivatives -- 13.5 Optimization of Multivariable Functions -- 13.6 Constrained Optimization with Lagrange Multipliers -- 13.7 Income Determination Multipliers -- 13.8 Optimizing Multivariable Functions in Business and Economics -- 13.9 Constrained Optimization of Multivariable Economic Functions -- 13.10 Constrained Optimization of Cobb-Douglas Production Functions -- 13.11 Implicit and Inverse Function Rules (Optional) -- Chapter 14 SEQUENCES AND SERIES -- 14.1 Sequences -- 14.2 Representation of Elements -- 14.3 Series and Summations -- 14.4 Property of Summations -- 14.5 Special Formulas of Summations -- 14.6 Economics Applications: Mean and Variance -- 14.7 Infinite Series -- 14.8 Finance Applications: Net Present Value -- EXCEL PRACTICE A -- EXCEL PRACTICE B -- ADDITIONAL PRACTICE PROBLEMS -- ADDITIONAL PRACTICE PROBLEMS: SOLUTIONS -- INDEX. Economics, Mathematical Business mathematics Mathématiques financières Business mathematics fast Economics, Mathematical fast Erscheint auch als Druck-Ausgabe 978-1-26-426687-6 |
| spellingShingle | Peña-Lévano, Luis Moisés Schaum's outline of mathematical methods for business, economics and finance Cover -- Title Page -- Copyright Page -- Preface -- Contents -- Chapter 1 REVIEW -- 1.1 Exponents -- 1.2 Polynomials -- 1.3 Factoring -- 1.4 Fractions -- 1.5 Radicals -- 1.6 Order of Mathematical Operations -- 1.7 Use of a Pocket Calcular -- Chapter 2 EQUATIONS AND GRAPHS -- 2.1 Equations -- 2.2 Cartesian Coordinate System -- 2.3 Linear Equations and Graphs -- 2.4 Slopes -- 2.5 Intercepts -- 2.6 The Slope-Intercept Form -- 2.7 Determining the Equation of a Straight-Line -- 2.8 Applications of Linear Equations in Business and Economics -- Chapter 3 FUNCTIONS -- 3.1 Concepts and Definitions -- 3.2 Graphing Functions -- 3.3 The Algebra of Functions -- 3.4 Applications of Linear Functions for Business and Economics -- 3.5 Solving Quardratic Equations -- 3.6 Facilitating Nonlinear Graphing -- 3.7 Applications of Nonlinear Functions in Business and Economics -- Chapter 4 SYSTEM OF EQUATIONS -- 4.1 Introduction -- 4.2 Graphical Solutions -- 4.3 Supply-and-Demand Analysis -- 4.4 Break-Even Analysis -- 4.5 Elimination and Substitution Methods -- 4.6 Income Determination Models -- 4.7 IS-LM Analysis -- 4.8 Economic and Mathematical Modeling (Optional) -- 4.9 Implicit Functions and Inverse Functions (Optional) -- Chapter 5 LINEAR (OR MATRIX) ALGEBRA -- 5.1 Introduction -- 5.2 Definitions and Terms -- 5.3 Addition and Subtraction of Matrices -- 5.4 Scalar Multiplication -- 5.5 Vector Multiplication -- 5.6 Multiplication of Matrices -- 5.7 Matrix Expression of a System of Linear Equations -- 5.8 Augmented Matrix -- 5.9 Row Operations -- 5.10 Gaussian Method of Solving Linear Equations -- Chapter 6 SOLVING LINEAR EQUATIONS WITH MATRIX ALGEBRA -- 6.1 Determinants and Linear Independence -- 6.2 Third-Order Determinants -- 6.3 Cramer's Rule for Solving Linear Equations -- 6.4 Inverse Matrices -- 6.5 Gaussian Method of Finding an Inverse Matrix -- 6.6 Solving Linear Equations with an Inverse Matrix -- 6.7 Business and Economic Applications -- 6.8 Special Determinants -- Chapter 7 LINEAR PROGRAMMING: USING GRAPHS -- 7.1 Use of Graphs -- 7.2 Maximization Using Graphs -- 7.3 The Extreme-Point Theorem -- 7.4 Minimization Using Graphs -- 7.5 Slack and Surplus Variables -- 7.6 The Basis Theorem -- Chapter 8 LINEAR PROGRAMMING: THE SIMPLEX ALGORITHM AND THE DUAL -- 8.1 The Simplex Algorithm -- 8.2 Maximization -- 8.3 Marginal Value or Shadow Pricing -- 8.4 Minimization -- 8.5 The Dual -- 8.6 Rules of Transformation to Obtain the Dual -- 8.7 The Dual Theorems -- 8.8 Shadow Prices in the Dual -- 8.9 Integer Programming -- 8.10 Zero-One Programming -- Chapter 9 DIFFERENTIAL CALCULUS: THE DERIVATIVE AND THE RULES OF DIFFERENTIATION -- 9.1 Limits -- 9.2 Continuity -- 9.3 The Slope of a Curvilinear Function -- 9.4 The Derivative -- 9.5 Differentiability and Continuity -- 9.6 Derivative Notation -- 9.7 Rules of Differentiation -- 9.8 Higher-Order Derivatives -- 9.9 Implicit Functions -- Chapter 10 DIFFERENTIAL CALCULUS: USES OF THE DERIVATIVE -- 10.1 Increasing and Decreasing Functions -- 10.2 Concavity and Convexity -- 10.3 Relative Extrema -- 10.4 Inflection Points -- 10.5 Curve Sketching -- 10.6 Optimization of Functions -- 10.7 The Successive-Derivative Test -- 10.8 Marginal Concepts in Economics -- 10.9 Optimizing Economic Functions for Business -- 10.10 Relationships Among Total, Marginal, and Average Functions -- Chapter 11 EXPONENTIAL AND LOGARITHMIC FUNCTIONS -- 11.1 Exponential Functions -- 11.2 Logarithmic Functions -- 11.3 Properties of Exponents and Logarithms -- 11.4 Natural Exponential and Logarithmic Functions -- 11.5 Solving Natural Exponential and Logarithmic Functions -- 11.6 Logarithmic Transformation of Nonlinear Functions -- 11.7 Derivatives of Natural Exponential and Logarithmic Functions -- 11.8 Interest Compounding -- 11.9 Estimating Growth Rates from Data Points -- Chapter 12 INTEGRAL CALCULUS -- 12.1 Integration -- 12.2 Rules for Indefinite Integrals -- 12.3 Area Under a Curve -- 12.4 The Definite Integral -- 12.5 The Fundamental Theorem of Calculus -- 12.6 Properties of Definite Integrals -- 12.7 Area Between Curves -- 12.8 Integration by Substitution -- 12.9 Integration by Parts -- 12.10 Present Value of a Cash Flow -- 12.11 Consumers' and Producers' Surplus -- Chapter 13 CALCULUS OF MULTIVARIABLE FUNCTIONS -- 13.1 Functions of Several Independent Variables -- 13.2 Partial Derivatives -- 13.3 Rules of Partial Differentiation -- 13.4 Second-Order Partial Derivatives -- 13.5 Optimization of Multivariable Functions -- 13.6 Constrained Optimization with Lagrange Multipliers -- 13.7 Income Determination Multipliers -- 13.8 Optimizing Multivariable Functions in Business and Economics -- 13.9 Constrained Optimization of Multivariable Economic Functions -- 13.10 Constrained Optimization of Cobb-Douglas Production Functions -- 13.11 Implicit and Inverse Function Rules (Optional) -- Chapter 14 SEQUENCES AND SERIES -- 14.1 Sequences -- 14.2 Representation of Elements -- 14.3 Series and Summations -- 14.4 Property of Summations -- 14.5 Special Formulas of Summations -- 14.6 Economics Applications: Mean and Variance -- 14.7 Infinite Series -- 14.8 Finance Applications: Net Present Value -- EXCEL PRACTICE A -- EXCEL PRACTICE B -- ADDITIONAL PRACTICE PROBLEMS -- ADDITIONAL PRACTICE PROBLEMS: SOLUTIONS -- INDEX. Economics, Mathematical Business mathematics Mathématiques financières Business mathematics fast Economics, Mathematical fast |
| title | Schaum's outline of mathematical methods for business, economics and finance |
| title_alt | Mathematical methods for business, economics and finance |
| title_auth | Schaum's outline of mathematical methods for business, economics and finance |
| title_exact_search | Schaum's outline of mathematical methods for business, economics and finance |
| title_exact_search_txtP | Schaum's outline of mathematical methods for business, economics and finance |
| title_full | Schaum's outline of mathematical methods for business, economics and finance Luis Moisés Peña-Lévano, PhD |
| title_fullStr | Schaum's outline of mathematical methods for business, economics and finance Luis Moisés Peña-Lévano, PhD |
| title_full_unstemmed | Schaum's outline of mathematical methods for business, economics and finance Luis Moisés Peña-Lévano, PhD |
| title_short | Schaum's outline of mathematical methods for business, economics and finance |
| title_sort | schaum s outline of mathematical methods for business economics and finance |
| topic | Economics, Mathematical Business mathematics Mathématiques financières Business mathematics fast Economics, Mathematical fast |
| topic_facet | Economics, Mathematical Business mathematics Mathématiques financières |
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