Mathematics for Business Analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Herndon, VA
Mercury Learning & Information
2023
|
| Edition: | 1st ed |
| Online Access: | DE-2070s |
| Item Description: | Description based on publisher supplied metadata and other sources |
| Physical Description: | 1 Online-Ressource (377 Seiten) |
| ISBN: | 9781683929369 |
Staff View
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| 100 | 1 | |a Turner, Paul |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mathematics for Business Analysis |
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| 264 | 1 | |a Herndon, VA |b Mercury Learning & Information |c 2023 | |
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| 300 | |a 1 Online-Ressource (377 Seiten) | ||
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| 505 | 8 | |a Cover -- Half-Title -- Title -- Copyright -- Dedication -- Contents -- Preface -- Chapter 1: Sets, Numbers, and Algebra -- 1.1 Sets and Numbers -- Review Exercises - Section 1.1 -- 1.2 Rules of Algebra -- Commutative Property -- Associative Property -- Distributive Property -- Review Exercises - Section 1.2 -- 1.3 Complex Numbers and Hyperreal Numbers -- Complex Numbers -- Hyperreal Numbers -- Principle 1: The Extension Principle -- Principle 2: The Transfer Principle -- Principle 3: The Standard Part Principle -- Rules for Infinitesimal Numbers -- Rules for Infinite Numbers -- Review Exercises - Section 1.3 -- 1.4 Intervals -- Review Exercises - Section 1.4 -- 1.5 Expanding and Factorizing Mathematical Expressions -- Review Exercises - Section 1.5 -- 1.6 A Numerical Method for Finding Roots -- Review Exercises Section 1.6 -- Chapter 2: Lines, Curves, Functions, and Equations -- 2.1 The Cartesian Plane -- Review Exercises - Section 2.1 -- 2.2 Functions -- Review Exercises - Section 2.2 -- 2.3 Limits -- Review Exercises - Section 2.3 -- 2.4 Power Functions -- Review Exercises - Section 2.4 -- 2.5 Exponential and Logarithmic Functions -- Review Exercises - Section 2.5 -- 2.6 Polynomial Functions -- Review Exercises - Section 2.6 -- 2.7 Sine, Cosine, and Tangent Functions -- Review Exercises - Section 2.7 -- Chapter 3: Simultaneous Equations -- 3.1 Linear Equations -- Review Exercises - Section 3.1 -- 3.2 Systems of Linear Simultaneous Equations -- Review Exercises - Section 3.2 -- 3.3 Some Examples from Economics -- Review Exercises - Section 3.3 -- 3.4 Nonlinear Simultaneous Equations -- Review Exercises - Section 3.4 -- 3.5 Numerical Methods -- Review Exercises - Section 3.5 -- Chapter 4: Derivatives and Differentiation -- 4.1 Differential Calculus -- Review Exercises - Section 4.1 -- 4.2 Differentiation from First Principles | |
| 505 | 8 | |a Review Exercises - Section 4.2 -- 4.3 Rules for Differentiation -- Rule 1: Multiplication by a Constant -- Rule 2: Sum-Difference Rule -- Rule 3: The Product Rule -- Rule 4: The Quotient Rule -- Rule 5: The Power Function Rule -- Rule 6: The Chain Rule -- Rule 7: The Inverse Function Rule -- Generalization of the Power Function Rule -- Review Exercises - Section 4.3 -- 4.4 Some Economic Examples -- Review Exercises - Section 4.4 -- 4.5 Higher-Order Derivatives -- Review Exercises - Section 4.5 -- 4.6 Numerical Methods -- Review Exercises - Section 4.6 -- Chapter 5: Optimization -- 5.1 Identifying Critical Points -- Review Exercises - Section 5.1 -- 5.2 Some Economic Examples -- Review Exercises - Section 5.2 -- 5.3 Convexity and Concavity -- Review Exercises - Section 5.3 -- 5.4 Numerical Methods for Finding Turning Points -- Review Exercises - Section 5.4 -- Chapter 6: Optimization of Multivariable Functions -- 6.1 Multivariable Functions -- Review Exercises - Section 6.1 -- 6.2 Partial Derivatives -- Review Exercise - Section 6.2 -- 6.3 Differentials and the Total Derivative -- Review Exercises - Section 6.3 -- 6.4 Optimization with Multivariable Functions -- Review Exercises - Section 6.4 -- 6.5 Optimization with Constraints -- Review Exercises - Section 6.5 -- 6.6 Numerical Methods -- Review Exercises - Section 6.6 -- Chapter 7: Integration -- 7.1 Definite Integration -- Review Exercises - Section 7.1 -- 7.2 The Fundamental Theorem of Calculus -- Review Exercises - Section 7.2 -- 7.3 Integration by Substitution and by Parts -- Review Exercises - Section 7.3 -- 7.4 Some Economic Applications -- Review Exercises - Section 7.4 -- 7.5 Numerical Methods of Integration -- Review Exercises - Section 7.5 -- Chapter 8: Matrices -- 8.1 Matrix Algebra -- Addition or Subtraction of Matrices -- Matrix Transposition -- Scalar Multiplication | |
| 505 | 8 | |a Vector Multiplication -- Matrix Multiplication -- Review Exercises - Section 8.1 -- 8.2 Determinants -- Review Exercises - Section 8.2 -- 8.3 Matrix Inversion -- Review Exercises - Section 8.3 -- 8.4 Solving Simultaneous Equations with Matrices -- Review Exercises - Section 8.4 -- 8.5 Eigenvalues and Eigenvectors -- Review Exercises - Section 8.5 -- Chapter 9: First-Order Differential Equations -- 9.1 Separable Differential Equations -- Review Exercises - Section 9.1 -- 9.2 First-order Linear Differential Equations with Constant Coefficients -- Review Exercises - Section 9.2 -- 9.3 Solutions Using an Integrating Factor -- Review Exercises - Section 9.3 -- 9.4 The Method of Undetermined Coefficients -- Review Exercises - Section 9.4 -- 9.5 Numerical Methods -- Review Exercises - Section 9.5 -- 9.6 Some Economic Examples -- Review Exercises - Section 9.6 -- Chapter 10: Second-Order Differential Equations -- 10.1 Homogeneous Second-Order Linear Differential Equations -- Review Exercises - Section 10.1 -- 10.2 Initial Value Problems with Second-Order Differential Equations -- Review Exercises - Section 10.2 -- 10.3 Nonhomogeneous Second-Order Linear Differential Equations -- Review Exercises - Section 10.3 -- 10.4 Numerical Solution for Second-Order Equations -- Review Exercises - Section 10.4 -- Appendix: The Principle of Superposition -- Appendix: Derivation of the Complementary Function When the Roots are Complex -- Chapter 11: Difference Equations -- 11.1 First-Order Difference Equations -- Review Exercises - Section 11.1 -- 11.2 Second-Order Difference Equations -- Review Exercises - Section 11.2 -- 11.3 Solution by Backward Substitution -- Review Exercises - Section 11.3 -- 11.4 Boundary Conditions and Expectations -- Review Exercises - Section 11.4 -- Appendix: Solution for the Case of Complex Roots -- Appendix A: Coding in Python | |
| 505 | 8 | |a Appendix B: Odd Numbered Exercises Answers -- Index | |
| 700 | 1 | |a Wood, Justine |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Turner, Paul |t Mathematics for Business Analysis |d Herndon, VA : Mercury Learning & Information,c2023 |z 9781683929376 |
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| author | Turner, Paul |
| author_facet | Turner, Paul |
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| bvnumber | BV050174009 |
| contents | Cover -- Half-Title -- Title -- Copyright -- Dedication -- Contents -- Preface -- Chapter 1: Sets, Numbers, and Algebra -- 1.1 Sets and Numbers -- Review Exercises - Section 1.1 -- 1.2 Rules of Algebra -- Commutative Property -- Associative Property -- Distributive Property -- Review Exercises - Section 1.2 -- 1.3 Complex Numbers and Hyperreal Numbers -- Complex Numbers -- Hyperreal Numbers -- Principle 1: The Extension Principle -- Principle 2: The Transfer Principle -- Principle 3: The Standard Part Principle -- Rules for Infinitesimal Numbers -- Rules for Infinite Numbers -- Review Exercises - Section 1.3 -- 1.4 Intervals -- Review Exercises - Section 1.4 -- 1.5 Expanding and Factorizing Mathematical Expressions -- Review Exercises - Section 1.5 -- 1.6 A Numerical Method for Finding Roots -- Review Exercises Section 1.6 -- Chapter 2: Lines, Curves, Functions, and Equations -- 2.1 The Cartesian Plane -- Review Exercises - Section 2.1 -- 2.2 Functions -- Review Exercises - Section 2.2 -- 2.3 Limits -- Review Exercises - Section 2.3 -- 2.4 Power Functions -- Review Exercises - Section 2.4 -- 2.5 Exponential and Logarithmic Functions -- Review Exercises - Section 2.5 -- 2.6 Polynomial Functions -- Review Exercises - Section 2.6 -- 2.7 Sine, Cosine, and Tangent Functions -- Review Exercises - Section 2.7 -- Chapter 3: Simultaneous Equations -- 3.1 Linear Equations -- Review Exercises - Section 3.1 -- 3.2 Systems of Linear Simultaneous Equations -- Review Exercises - Section 3.2 -- 3.3 Some Examples from Economics -- Review Exercises - Section 3.3 -- 3.4 Nonlinear Simultaneous Equations -- Review Exercises - Section 3.4 -- 3.5 Numerical Methods -- Review Exercises - Section 3.5 -- Chapter 4: Derivatives and Differentiation -- 4.1 Differential Calculus -- Review Exercises - Section 4.1 -- 4.2 Differentiation from First Principles Review Exercises - Section 4.2 -- 4.3 Rules for Differentiation -- Rule 1: Multiplication by a Constant -- Rule 2: Sum-Difference Rule -- Rule 3: The Product Rule -- Rule 4: The Quotient Rule -- Rule 5: The Power Function Rule -- Rule 6: The Chain Rule -- Rule 7: The Inverse Function Rule -- Generalization of the Power Function Rule -- Review Exercises - Section 4.3 -- 4.4 Some Economic Examples -- Review Exercises - Section 4.4 -- 4.5 Higher-Order Derivatives -- Review Exercises - Section 4.5 -- 4.6 Numerical Methods -- Review Exercises - Section 4.6 -- Chapter 5: Optimization -- 5.1 Identifying Critical Points -- Review Exercises - Section 5.1 -- 5.2 Some Economic Examples -- Review Exercises - Section 5.2 -- 5.3 Convexity and Concavity -- Review Exercises - Section 5.3 -- 5.4 Numerical Methods for Finding Turning Points -- Review Exercises - Section 5.4 -- Chapter 6: Optimization of Multivariable Functions -- 6.1 Multivariable Functions -- Review Exercises - Section 6.1 -- 6.2 Partial Derivatives -- Review Exercise - Section 6.2 -- 6.3 Differentials and the Total Derivative -- Review Exercises - Section 6.3 -- 6.4 Optimization with Multivariable Functions -- Review Exercises - Section 6.4 -- 6.5 Optimization with Constraints -- Review Exercises - Section 6.5 -- 6.6 Numerical Methods -- Review Exercises - Section 6.6 -- Chapter 7: Integration -- 7.1 Definite Integration -- Review Exercises - Section 7.1 -- 7.2 The Fundamental Theorem of Calculus -- Review Exercises - Section 7.2 -- 7.3 Integration by Substitution and by Parts -- Review Exercises - Section 7.3 -- 7.4 Some Economic Applications -- Review Exercises - Section 7.4 -- 7.5 Numerical Methods of Integration -- Review Exercises - Section 7.5 -- Chapter 8: Matrices -- 8.1 Matrix Algebra -- Addition or Subtraction of Matrices -- Matrix Transposition -- Scalar Multiplication Vector Multiplication -- Matrix Multiplication -- Review Exercises - Section 8.1 -- 8.2 Determinants -- Review Exercises - Section 8.2 -- 8.3 Matrix Inversion -- Review Exercises - Section 8.3 -- 8.4 Solving Simultaneous Equations with Matrices -- Review Exercises - Section 8.4 -- 8.5 Eigenvalues and Eigenvectors -- Review Exercises - Section 8.5 -- Chapter 9: First-Order Differential Equations -- 9.1 Separable Differential Equations -- Review Exercises - Section 9.1 -- 9.2 First-order Linear Differential Equations with Constant Coefficients -- Review Exercises - Section 9.2 -- 9.3 Solutions Using an Integrating Factor -- Review Exercises - Section 9.3 -- 9.4 The Method of Undetermined Coefficients -- Review Exercises - Section 9.4 -- 9.5 Numerical Methods -- Review Exercises - Section 9.5 -- 9.6 Some Economic Examples -- Review Exercises - Section 9.6 -- Chapter 10: Second-Order Differential Equations -- 10.1 Homogeneous Second-Order Linear Differential Equations -- Review Exercises - Section 10.1 -- 10.2 Initial Value Problems with Second-Order Differential Equations -- Review Exercises - Section 10.2 -- 10.3 Nonhomogeneous Second-Order Linear Differential Equations -- Review Exercises - Section 10.3 -- 10.4 Numerical Solution for Second-Order Equations -- Review Exercises - Section 10.4 -- Appendix: The Principle of Superposition -- Appendix: Derivation of the Complementary Function When the Roots are Complex -- Chapter 11: Difference Equations -- 11.1 First-Order Difference Equations -- Review Exercises - Section 11.1 -- 11.2 Second-Order Difference Equations -- Review Exercises - Section 11.2 -- 11.3 Solution by Backward Substitution -- Review Exercises - Section 11.3 -- 11.4 Boundary Conditions and Expectations -- Review Exercises - Section 11.4 -- Appendix: Solution for the Case of Complex Roots -- Appendix A: Coding in Python Appendix B: Odd Numbered Exercises Answers -- Index |
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| edition | 1st ed |
| format | Electronic eBook |
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Section 4.3 -- 4.4 Some Economic Examples -- Review Exercises - Section 4.4 -- 4.5 Higher-Order Derivatives -- Review Exercises - Section 4.5 -- 4.6 Numerical Methods -- Review Exercises - Section 4.6 -- Chapter 5: Optimization -- 5.1 Identifying Critical Points -- Review Exercises - Section 5.1 -- 5.2 Some Economic Examples -- Review Exercises - Section 5.2 -- 5.3 Convexity and Concavity -- Review Exercises - Section 5.3 -- 5.4 Numerical Methods for Finding Turning Points -- Review Exercises - Section 5.4 -- Chapter 6: Optimization of Multivariable Functions -- 6.1 Multivariable Functions -- Review Exercises - Section 6.1 -- 6.2 Partial Derivatives -- Review Exercise - Section 6.2 -- 6.3 Differentials and the Total Derivative -- Review Exercises - Section 6.3 -- 6.4 Optimization with Multivariable Functions -- Review Exercises - Section 6.4 -- 6.5 Optimization with Constraints -- Review Exercises - Section 6.5 -- 6.6 Numerical Methods -- Review Exercises - Section 6.6 -- Chapter 7: Integration -- 7.1 Definite Integration -- Review Exercises - Section 7.1 -- 7.2 The Fundamental Theorem of Calculus -- Review Exercises - Section 7.2 -- 7.3 Integration by Substitution and by Parts -- Review Exercises - Section 7.3 -- 7.4 Some Economic Applications -- Review Exercises - Section 7.4 -- 7.5 Numerical Methods of Integration -- Review Exercises - Section 7.5 -- Chapter 8: Matrices -- 8.1 Matrix Algebra -- Addition or Subtraction of Matrices -- Matrix Transposition -- Scalar Multiplication</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Vector Multiplication -- Matrix Multiplication -- Review Exercises - Section 8.1 -- 8.2 Determinants -- Review Exercises - Section 8.2 -- 8.3 Matrix Inversion -- Review Exercises - Section 8.3 -- 8.4 Solving Simultaneous Equations with Matrices -- Review Exercises - Section 8.4 -- 8.5 Eigenvalues and Eigenvectors -- Review Exercises - Section 8.5 -- Chapter 9: First-Order Differential Equations -- 9.1 Separable Differential Equations -- Review Exercises - Section 9.1 -- 9.2 First-order Linear Differential Equations with Constant Coefficients -- Review Exercises - 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| id | DE-604.BV050174009 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-19T17:44:41Z |
| institution | BVB |
| isbn | 9781683929369 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035509889 |
| oclc_num | 1415803841 |
| open_access_boolean | |
| owner | DE-2070s |
| owner_facet | DE-2070s |
| physical | 1 Online-Ressource (377 Seiten) |
| psigel | ZDB-30-PQE HWR_PDA_PQE |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Mercury Learning & Information |
| record_format | marc |
| spelling | Turner, Paul Verfasser aut Mathematics for Business Analysis 1st ed Herndon, VA Mercury Learning & Information 2023 ©2023 1 Online-Ressource (377 Seiten) txt rdacontent c rdamedia cr rdacarrier Description based on publisher supplied metadata and other sources Cover -- Half-Title -- Title -- Copyright -- Dedication -- Contents -- Preface -- Chapter 1: Sets, Numbers, and Algebra -- 1.1 Sets and Numbers -- Review Exercises - Section 1.1 -- 1.2 Rules of Algebra -- Commutative Property -- Associative Property -- Distributive Property -- Review Exercises - Section 1.2 -- 1.3 Complex Numbers and Hyperreal Numbers -- Complex Numbers -- Hyperreal Numbers -- Principle 1: The Extension Principle -- Principle 2: The Transfer Principle -- Principle 3: The Standard Part Principle -- Rules for Infinitesimal Numbers -- Rules for Infinite Numbers -- Review Exercises - Section 1.3 -- 1.4 Intervals -- Review Exercises - Section 1.4 -- 1.5 Expanding and Factorizing Mathematical Expressions -- Review Exercises - Section 1.5 -- 1.6 A Numerical Method for Finding Roots -- Review Exercises Section 1.6 -- Chapter 2: Lines, Curves, Functions, and Equations -- 2.1 The Cartesian Plane -- Review Exercises - Section 2.1 -- 2.2 Functions -- Review Exercises - Section 2.2 -- 2.3 Limits -- Review Exercises - Section 2.3 -- 2.4 Power Functions -- Review Exercises - Section 2.4 -- 2.5 Exponential and Logarithmic Functions -- Review Exercises - Section 2.5 -- 2.6 Polynomial Functions -- Review Exercises - Section 2.6 -- 2.7 Sine, Cosine, and Tangent Functions -- Review Exercises - Section 2.7 -- Chapter 3: Simultaneous Equations -- 3.1 Linear Equations -- Review Exercises - Section 3.1 -- 3.2 Systems of Linear Simultaneous Equations -- Review Exercises - Section 3.2 -- 3.3 Some Examples from Economics -- Review Exercises - Section 3.3 -- 3.4 Nonlinear Simultaneous Equations -- Review Exercises - Section 3.4 -- 3.5 Numerical Methods -- Review Exercises - Section 3.5 -- Chapter 4: Derivatives and Differentiation -- 4.1 Differential Calculus -- Review Exercises - Section 4.1 -- 4.2 Differentiation from First Principles Review Exercises - Section 4.2 -- 4.3 Rules for Differentiation -- Rule 1: Multiplication by a Constant -- Rule 2: Sum-Difference Rule -- Rule 3: The Product Rule -- Rule 4: The Quotient Rule -- Rule 5: The Power Function Rule -- Rule 6: The Chain Rule -- Rule 7: The Inverse Function Rule -- Generalization of the Power Function Rule -- Review Exercises - Section 4.3 -- 4.4 Some Economic Examples -- Review Exercises - Section 4.4 -- 4.5 Higher-Order Derivatives -- Review Exercises - Section 4.5 -- 4.6 Numerical Methods -- Review Exercises - Section 4.6 -- Chapter 5: Optimization -- 5.1 Identifying Critical Points -- Review Exercises - Section 5.1 -- 5.2 Some Economic Examples -- Review Exercises - Section 5.2 -- 5.3 Convexity and Concavity -- Review Exercises - Section 5.3 -- 5.4 Numerical Methods for Finding Turning Points -- Review Exercises - Section 5.4 -- Chapter 6: Optimization of Multivariable Functions -- 6.1 Multivariable Functions -- Review Exercises - Section 6.1 -- 6.2 Partial Derivatives -- Review Exercise - Section 6.2 -- 6.3 Differentials and the Total Derivative -- Review Exercises - Section 6.3 -- 6.4 Optimization with Multivariable Functions -- Review Exercises - Section 6.4 -- 6.5 Optimization with Constraints -- Review Exercises - Section 6.5 -- 6.6 Numerical Methods -- Review Exercises - Section 6.6 -- Chapter 7: Integration -- 7.1 Definite Integration -- Review Exercises - Section 7.1 -- 7.2 The Fundamental Theorem of Calculus -- Review Exercises - Section 7.2 -- 7.3 Integration by Substitution and by Parts -- Review Exercises - Section 7.3 -- 7.4 Some Economic Applications -- Review Exercises - Section 7.4 -- 7.5 Numerical Methods of Integration -- Review Exercises - Section 7.5 -- Chapter 8: Matrices -- 8.1 Matrix Algebra -- Addition or Subtraction of Matrices -- Matrix Transposition -- Scalar Multiplication Vector Multiplication -- Matrix Multiplication -- Review Exercises - Section 8.1 -- 8.2 Determinants -- Review Exercises - Section 8.2 -- 8.3 Matrix Inversion -- Review Exercises - Section 8.3 -- 8.4 Solving Simultaneous Equations with Matrices -- Review Exercises - Section 8.4 -- 8.5 Eigenvalues and Eigenvectors -- Review Exercises - Section 8.5 -- Chapter 9: First-Order Differential Equations -- 9.1 Separable Differential Equations -- Review Exercises - Section 9.1 -- 9.2 First-order Linear Differential Equations with Constant Coefficients -- Review Exercises - Section 9.2 -- 9.3 Solutions Using an Integrating Factor -- Review Exercises - Section 9.3 -- 9.4 The Method of Undetermined Coefficients -- Review Exercises - Section 9.4 -- 9.5 Numerical Methods -- Review Exercises - Section 9.5 -- 9.6 Some Economic Examples -- Review Exercises - Section 9.6 -- Chapter 10: Second-Order Differential Equations -- 10.1 Homogeneous Second-Order Linear Differential Equations -- Review Exercises - Section 10.1 -- 10.2 Initial Value Problems with Second-Order Differential Equations -- Review Exercises - Section 10.2 -- 10.3 Nonhomogeneous Second-Order Linear Differential Equations -- Review Exercises - Section 10.3 -- 10.4 Numerical Solution for Second-Order Equations -- Review Exercises - Section 10.4 -- Appendix: The Principle of Superposition -- Appendix: Derivation of the Complementary Function When the Roots are Complex -- Chapter 11: Difference Equations -- 11.1 First-Order Difference Equations -- Review Exercises - Section 11.1 -- 11.2 Second-Order Difference Equations -- Review Exercises - Section 11.2 -- 11.3 Solution by Backward Substitution -- Review Exercises - Section 11.3 -- 11.4 Boundary Conditions and Expectations -- Review Exercises - Section 11.4 -- Appendix: Solution for the Case of Complex Roots -- Appendix A: Coding in Python Appendix B: Odd Numbered Exercises Answers -- Index Wood, Justine Sonstige oth Erscheint auch als Druck-Ausgabe Turner, Paul Mathematics for Business Analysis Herndon, VA : Mercury Learning & Information,c2023 9781683929376 |
| spellingShingle | Turner, Paul Mathematics for Business Analysis Cover -- Half-Title -- Title -- Copyright -- Dedication -- Contents -- Preface -- Chapter 1: Sets, Numbers, and Algebra -- 1.1 Sets and Numbers -- Review Exercises - Section 1.1 -- 1.2 Rules of Algebra -- Commutative Property -- Associative Property -- Distributive Property -- Review Exercises - Section 1.2 -- 1.3 Complex Numbers and Hyperreal Numbers -- Complex Numbers -- Hyperreal Numbers -- Principle 1: The Extension Principle -- Principle 2: The Transfer Principle -- Principle 3: The Standard Part Principle -- Rules for Infinitesimal Numbers -- Rules for Infinite Numbers -- Review Exercises - Section 1.3 -- 1.4 Intervals -- Review Exercises - Section 1.4 -- 1.5 Expanding and Factorizing Mathematical Expressions -- Review Exercises - Section 1.5 -- 1.6 A Numerical Method for Finding Roots -- Review Exercises Section 1.6 -- Chapter 2: Lines, Curves, Functions, and Equations -- 2.1 The Cartesian Plane -- Review Exercises - Section 2.1 -- 2.2 Functions -- Review Exercises - Section 2.2 -- 2.3 Limits -- Review Exercises - Section 2.3 -- 2.4 Power Functions -- Review Exercises - Section 2.4 -- 2.5 Exponential and Logarithmic Functions -- Review Exercises - Section 2.5 -- 2.6 Polynomial Functions -- Review Exercises - Section 2.6 -- 2.7 Sine, Cosine, and Tangent Functions -- Review Exercises - Section 2.7 -- Chapter 3: Simultaneous Equations -- 3.1 Linear Equations -- Review Exercises - Section 3.1 -- 3.2 Systems of Linear Simultaneous Equations -- Review Exercises - Section 3.2 -- 3.3 Some Examples from Economics -- Review Exercises - Section 3.3 -- 3.4 Nonlinear Simultaneous Equations -- Review Exercises - Section 3.4 -- 3.5 Numerical Methods -- Review Exercises - Section 3.5 -- Chapter 4: Derivatives and Differentiation -- 4.1 Differential Calculus -- Review Exercises - Section 4.1 -- 4.2 Differentiation from First Principles Review Exercises - Section 4.2 -- 4.3 Rules for Differentiation -- Rule 1: Multiplication by a Constant -- Rule 2: Sum-Difference Rule -- Rule 3: The Product Rule -- Rule 4: The Quotient Rule -- Rule 5: The Power Function Rule -- Rule 6: The Chain Rule -- Rule 7: The Inverse Function Rule -- Generalization of the Power Function Rule -- Review Exercises - Section 4.3 -- 4.4 Some Economic Examples -- Review Exercises - Section 4.4 -- 4.5 Higher-Order Derivatives -- Review Exercises - Section 4.5 -- 4.6 Numerical Methods -- Review Exercises - Section 4.6 -- Chapter 5: Optimization -- 5.1 Identifying Critical Points -- Review Exercises - Section 5.1 -- 5.2 Some Economic Examples -- Review Exercises - Section 5.2 -- 5.3 Convexity and Concavity -- Review Exercises - Section 5.3 -- 5.4 Numerical Methods for Finding Turning Points -- Review Exercises - Section 5.4 -- Chapter 6: Optimization of Multivariable Functions -- 6.1 Multivariable Functions -- Review Exercises - Section 6.1 -- 6.2 Partial Derivatives -- Review Exercise - Section 6.2 -- 6.3 Differentials and the Total Derivative -- Review Exercises - Section 6.3 -- 6.4 Optimization with Multivariable Functions -- Review Exercises - Section 6.4 -- 6.5 Optimization with Constraints -- Review Exercises - Section 6.5 -- 6.6 Numerical Methods -- Review Exercises - Section 6.6 -- Chapter 7: Integration -- 7.1 Definite Integration -- Review Exercises - Section 7.1 -- 7.2 The Fundamental Theorem of Calculus -- Review Exercises - Section 7.2 -- 7.3 Integration by Substitution and by Parts -- Review Exercises - Section 7.3 -- 7.4 Some Economic Applications -- Review Exercises - Section 7.4 -- 7.5 Numerical Methods of Integration -- Review Exercises - Section 7.5 -- Chapter 8: Matrices -- 8.1 Matrix Algebra -- Addition or Subtraction of Matrices -- Matrix Transposition -- Scalar Multiplication Vector Multiplication -- Matrix Multiplication -- Review Exercises - Section 8.1 -- 8.2 Determinants -- Review Exercises - Section 8.2 -- 8.3 Matrix Inversion -- Review Exercises - Section 8.3 -- 8.4 Solving Simultaneous Equations with Matrices -- Review Exercises - Section 8.4 -- 8.5 Eigenvalues and Eigenvectors -- Review Exercises - Section 8.5 -- Chapter 9: First-Order Differential Equations -- 9.1 Separable Differential Equations -- Review Exercises - Section 9.1 -- 9.2 First-order Linear Differential Equations with Constant Coefficients -- Review Exercises - Section 9.2 -- 9.3 Solutions Using an Integrating Factor -- Review Exercises - Section 9.3 -- 9.4 The Method of Undetermined Coefficients -- Review Exercises - Section 9.4 -- 9.5 Numerical Methods -- Review Exercises - Section 9.5 -- 9.6 Some Economic Examples -- Review Exercises - Section 9.6 -- Chapter 10: Second-Order Differential Equations -- 10.1 Homogeneous Second-Order Linear Differential Equations -- Review Exercises - Section 10.1 -- 10.2 Initial Value Problems with Second-Order Differential Equations -- Review Exercises - Section 10.2 -- 10.3 Nonhomogeneous Second-Order Linear Differential Equations -- Review Exercises - Section 10.3 -- 10.4 Numerical Solution for Second-Order Equations -- Review Exercises - Section 10.4 -- Appendix: The Principle of Superposition -- Appendix: Derivation of the Complementary Function When the Roots are Complex -- Chapter 11: Difference Equations -- 11.1 First-Order Difference Equations -- Review Exercises - Section 11.1 -- 11.2 Second-Order Difference Equations -- Review Exercises - Section 11.2 -- 11.3 Solution by Backward Substitution -- Review Exercises - Section 11.3 -- 11.4 Boundary Conditions and Expectations -- Review Exercises - Section 11.4 -- Appendix: Solution for the Case of Complex Roots -- Appendix A: Coding in Python Appendix B: Odd Numbered Exercises Answers -- Index |
| title | Mathematics for Business Analysis |
| title_auth | Mathematics for Business Analysis |
| title_exact_search | Mathematics for Business Analysis |
| title_full | Mathematics for Business Analysis |
| title_fullStr | Mathematics for Business Analysis |
| title_full_unstemmed | Mathematics for Business Analysis |
| title_short | Mathematics for Business Analysis |
| title_sort | mathematics for business analysis |
| work_keys_str_mv | AT turnerpaul mathematicsforbusinessanalysis AT woodjustine mathematicsforbusinessanalysis |