Mathematics for economics and business:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow, England
Pearson
[2023]
|
| Ausgabe: | tenth edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xi, 756 Seiten Illustrationen |
| ISBN: | 9781292720128 |
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MARC
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| adam_text | Preface Xiii INTRODUCTION: Getting Started CHAPTER 1 i Notes for students: how to use this text 1 Tour of textbook features 4 Linear Equations 7 1.1 1.2 1.3 Introduction to algebra 1.1.2 Expressions 11 1.1.3 Brackets 14 Key Terms 19 Exercise 1.1 20 Exercise 1.1* 22 Further algebra 24 1.6 1.7 24 1.2.1 Fractions 1.2.2 Equations 31 1.2.3 Inequalities 35 Key Terms 38 Exercise 1.2 38 Exercise 1.2* 40 Graphs of linear equations 42 52 Exercise 1.3 52 Exercise 1.3* 54 Algebraic solution of simultaneous linear equations 55 Key Term 65 Exercise 1.4 65 Exercise 1.4* 1.5 9 Negative numbers Key Terms 1.4 8 1.1.1 66 Supply and demand analysis 67 Key Terms 80 Exercise 1.5 80 Exercise 1.5* 82 Transposition of formulae 84 Key Terms 91 Exercise 1.6 91 Exercise 1.6* 92 National income determination 93 Key Terms 105 Exercise 1.7 105 Exercise 1.7* 106 Case study 1 109 Formal mathematics 110 Multiple-choice questions 113 Examination questions 117
CONTENTS CHAPTER 2 Non-linear Equations 2.1 2.2 vii 123 Quadratic functions Key Terms Exercise 2.1 139 Exercise 2.1* 140 Revenue, cost andprofit Key Terms 124 138 142 150 Exercise 2.2 Exercise 2.2* 150 151 2.3 Indices and logarithms 2.3.1 Index notation 2.3.2 Rules of indices 2.3.3 Logarithms 2.3.4 Summary Key Terms Exercise 2.3 Exercise 2.3* 153 153 157 163 169 170 170 172 2.4 The exponential and natural logarithm functions Key Terms Exercise 2.4 Exercise 2.4* 175 Case study 2 Formal mathematics Multiple-choice questions Examination questions CHAPTER 3 Mathematics of Finance 3.1 3.2 Percentages 3.1.1 Index numbers 3.1.2 Inflation Key Terms Exercise 3.1 Exercise 3.1* 185 185 186 189 191 194 198 203 204 210 214 216 216 219 Compound interest 222 Key Terms 232 Exercise 3.2 232 Exercise 3.2* 234 Geometric series Key Terms Exercise 3.3 Exercise 3.3* 236 Investment appraisal Exercise 3.4 Exercise 3.4* 247 259 259 261 Case study 3 Formal mathematics Multiple-choice questions Examination questions 263 264 266 270 3.3 3.4 Key Terms 244 244 245
viii CONTENTS CHAPTER 4 Differentiation 4.1 4.2 4.3 The derivative of a function 275 276 Key Terms 285 Exercise 4.1 Exercise 4.1* 285 Rules of differentiation Rule 1 The constant rule Rule 2 The sum rule Rule 3 The difference rule 287 287 288 289 Key Terms 294 Exercise 4.2 Exercise 4.2* 294 296 Marginal functions 4.3.1 Revenue and cost 4.3.2 Production 4.3.3 Consumption and savings 298 298 305 307 Key Terms 309 Exercise 4.3 Exercise 4.3* 309 286 310 Further rules of differentiation 312 Rule 4 The chain rule 313 Rule 5 The product rule Rule 6 The quotient rule 315 318 Exercise 4.4 Exercise 4.4* 320 321 Elasticity Key Terms 322 334 Exercise 4.5 Exercise 4.5* 334 335 Optimisation of economic functions 337 Key Terms 353 Exercise 4.6 Exercise 4.6* 353 4.7 Further optimisation of economic functions Key Term Exercise 4.7* 356 367 367 4.8 The derivative of the exponential and natural logarithm functions Exercise 4.8 Exercise 4.8* 369 378 379 4.4 4.5 4.6 Case study 4 Formal mathematics Multiple-choice questions Examination questions CHAPTER 5 Partial Differentiation 355 381 384 387 393 399 5.1 Functions of several variables Key Terms Exercise 5.1 Exercise 5.1* 400 410 411 412 5.2 Partial elasticity and marginal functions 5.2.1 Elasticity of demand 414 414
CONTENTS 5.2.2 Utility 5.2.3 Production Key Terms Exercise 5.2 Exercise 5.2* 5.3 5.4 5.5 5.6 Comparative staties Key Terms Exercise 5.3* 425 426 428 430 439 439 443 Key Terms 454 Exercise 5.4 Exercise 5.4* 454 Constrained optimisation Key Terms Exercise 5.5 Exercise 5.5* 457 Lagrange multipliers 470 479 479 480 Exercise 5.6 Exercise 5.6* 455 466 467 468 Case study 5 482 Formal mathematics Multiple-choice questions 483 485 Examination questions 488 Integration 493 6.1 Indefinite integration 494 Key Terms Exercise 6.1 505 506 507 Exercise 6.1* 6.2 Definite integration 6.2.1 6.2.2 6.2.3 Consumer’s surplus Producer’s surplus Investment flow Discounting Income inequality Key Terms Exercise 6.2 Exercise 6.2* 6.2.4 6.2.5 CHAPTER? 417 423 Unconstrained optimisation Key Terms CHAPTER 6 ix 509 513 514 516 518 518 520 520 522 Case study 6 Formal mathematics Multiple-choice questions 525 527 Examination questions 530 Matrices 535 7.1 524 Basic matrix operations 536 7.1.1 7.1.2 7.1.3 7.1.4 7.1.5 Transposition 538 Addition and subtraction 539 542 543 551 Scalar multiplication Matrix multiplication Summary
x CONTENTS Key Terms Exercise 7.1 Exercise 7.1* 7.2 556 Cramer’s rule Key Term 575 583 Exercise 7.3 Exercise 7.3* 583 Case study 7 Formal mathematics Multiple-choice questions Examination questions 587 Linear Programming 599 571 571 572 584 589 590 594 Graphical solution of linear programming problems 600 Key Terms 614 Exercise 8.1 Exercise 8.1* 615 Applications of linear programming Key Terms 618 626 Exercise 8.2 Exercise 8.2* 626 628 Case study 8 Formal mathematics Multiple-choice questions Examination questions 631 Dynamics 643 8.1 8.2 CHAPTER 9 552 554 Matrix inversion Key Terms Exercise 7.2 Exercise 7.2* 7.3 CHAPTER 8 551 616 632 633 638 9.1 Difference equations 9.1.1 National income determination 9.1.2 Supply and demand analysis Key Terms Exercise 9.1 Exercise 9.1* 644 650 652 655 655 656 9.2 Differential equations 9.2.1 National income determination 9.2.2 Supply and demand analysis 659 665 Key Terms 669 Exercise 9.2 Exercise 9.2* 670 671 Case study 9 Formal mathematics Multiple-choice questions Examination questions 667 674 675 676 679
CONTENTS Answers to Problems xi 682 Chapter 1 682 Chapter 2 692 Chapter 3 701 Chapter 4 705 Chapter 5 716 Chapter 6 723 Chapter 7 727 Chapters 733 Chapter 9 737 Glossary 741 Index 748
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| adam_txt |
Preface Xiii INTRODUCTION: Getting Started CHAPTER 1 i Notes for students: how to use this text 1 Tour of textbook features 4 Linear Equations 7 1.1 1.2 1.3 Introduction to algebra 1.1.2 Expressions 11 1.1.3 Brackets 14 Key Terms 19 Exercise 1.1 20 Exercise 1.1* 22 Further algebra 24 1.6 1.7 24 1.2.1 Fractions 1.2.2 Equations 31 1.2.3 Inequalities 35 Key Terms 38 Exercise 1.2 38 Exercise 1.2* 40 Graphs of linear equations 42 52 Exercise 1.3 52 Exercise 1.3* 54 Algebraic solution of simultaneous linear equations 55 Key Term 65 Exercise 1.4 65 Exercise 1.4* 1.5 9 Negative numbers Key Terms 1.4 8 1.1.1 66 Supply and demand analysis 67 Key Terms 80 Exercise 1.5 80 Exercise 1.5* 82 Transposition of formulae 84 Key Terms 91 Exercise 1.6 91 Exercise 1.6* 92 National income determination 93 Key Terms 105 Exercise 1.7 105 Exercise 1.7* 106 Case study 1 109 Formal mathematics 110 Multiple-choice questions 113 Examination questions 117
CONTENTS CHAPTER 2 Non-linear Equations 2.1 2.2 vii 123 Quadratic functions Key Terms Exercise 2.1 139 Exercise 2.1* 140 Revenue, cost andprofit Key Terms 124 138 142 150 Exercise 2.2 Exercise 2.2* 150 151 2.3 Indices and logarithms 2.3.1 Index notation 2.3.2 Rules of indices 2.3.3 Logarithms 2.3.4 Summary Key Terms Exercise 2.3 Exercise 2.3* 153 153 157 163 169 170 170 172 2.4 The exponential and natural logarithm functions Key Terms Exercise 2.4 Exercise 2.4* 175 Case study 2 Formal mathematics Multiple-choice questions Examination questions CHAPTER 3 Mathematics of Finance 3.1 3.2 Percentages 3.1.1 Index numbers 3.1.2 Inflation Key Terms Exercise 3.1 Exercise 3.1* 185 185 186 189 191 194 198 203 204 210 214 216 216 219 Compound interest 222 Key Terms 232 Exercise 3.2 232 Exercise 3.2* 234 Geometric series Key Terms Exercise 3.3 Exercise 3.3* 236 Investment appraisal Exercise 3.4 Exercise 3.4* 247 259 259 261 Case study 3 Formal mathematics Multiple-choice questions Examination questions 263 264 266 270 3.3 3.4 Key Terms 244 244 245
viii CONTENTS CHAPTER 4 Differentiation 4.1 4.2 4.3 The derivative of a function 275 276 Key Terms 285 Exercise 4.1 Exercise 4.1* 285 Rules of differentiation Rule 1 The constant rule Rule 2 The sum rule Rule 3 The difference rule 287 287 288 289 Key Terms 294 Exercise 4.2 Exercise 4.2* 294 296 Marginal functions 4.3.1 Revenue and cost 4.3.2 Production 4.3.3 Consumption and savings 298 298 305 307 Key Terms 309 Exercise 4.3 Exercise 4.3* 309 286 310 Further rules of differentiation 312 Rule 4 The chain rule 313 Rule 5 The product rule Rule 6 The quotient rule 315 318 Exercise 4.4 Exercise 4.4* 320 321 Elasticity Key Terms 322 334 Exercise 4.5 Exercise 4.5* 334 335 Optimisation of economic functions 337 Key Terms 353 Exercise 4.6 Exercise 4.6* 353 4.7 Further optimisation of economic functions Key Term Exercise 4.7* 356 367 367 4.8 The derivative of the exponential and natural logarithm functions Exercise 4.8 Exercise 4.8* 369 378 379 4.4 4.5 4.6 Case study 4 Formal mathematics Multiple-choice questions Examination questions CHAPTER 5 Partial Differentiation 355 381 384 387 393 399 5.1 Functions of several variables Key Terms Exercise 5.1 Exercise 5.1* 400 410 411 412 5.2 Partial elasticity and marginal functions 5.2.1 Elasticity of demand 414 414
CONTENTS 5.2.2 Utility 5.2.3 Production Key Terms Exercise 5.2 Exercise 5.2* 5.3 5.4 5.5 5.6 Comparative staties Key Terms Exercise 5.3* 425 426 428 430 439 439 443 Key Terms 454 Exercise 5.4 Exercise 5.4* 454 Constrained optimisation Key Terms Exercise 5.5 Exercise 5.5* 457 Lagrange multipliers 470 479 479 480 Exercise 5.6 Exercise 5.6* 455 466 467 468 Case study 5 482 Formal mathematics Multiple-choice questions 483 485 Examination questions 488 Integration 493 6.1 Indefinite integration 494 Key Terms Exercise 6.1 505 506 507 Exercise 6.1* 6.2 Definite integration 6.2.1 6.2.2 6.2.3 Consumer’s surplus Producer’s surplus Investment flow Discounting Income inequality Key Terms Exercise 6.2 Exercise 6.2* 6.2.4 6.2.5 CHAPTER? 417 423 Unconstrained optimisation Key Terms CHAPTER 6 ix 509 513 514 516 518 518 520 520 522 Case study 6 Formal mathematics Multiple-choice questions 525 527 Examination questions 530 Matrices 535 7.1 524 Basic matrix operations 536 7.1.1 7.1.2 7.1.3 7.1.4 7.1.5 Transposition 538 Addition and subtraction 539 542 543 551 Scalar multiplication Matrix multiplication Summary
x CONTENTS Key Terms Exercise 7.1 Exercise 7.1* 7.2 556 Cramer’s rule Key Term 575 583 Exercise 7.3 Exercise 7.3* 583 Case study 7 Formal mathematics Multiple-choice questions Examination questions 587 Linear Programming 599 571 571 572 584 589 590 594 Graphical solution of linear programming problems 600 Key Terms 614 Exercise 8.1 Exercise 8.1* 615 Applications of linear programming Key Terms 618 626 Exercise 8.2 Exercise 8.2* 626 628 Case study 8 Formal mathematics Multiple-choice questions Examination questions 631 Dynamics 643 8.1 8.2 CHAPTER 9 552 554 Matrix inversion Key Terms Exercise 7.2 Exercise 7.2* 7.3 CHAPTER 8 551 616 632 633 638 9.1 Difference equations 9.1.1 National income determination 9.1.2 Supply and demand analysis Key Terms Exercise 9.1 Exercise 9.1* 644 650 652 655 655 656 9.2 Differential equations 9.2.1 National income determination 9.2.2 Supply and demand analysis 659 665 Key Terms 669 Exercise 9.2 Exercise 9.2* 670 671 Case study 9 Formal mathematics Multiple-choice questions Examination questions 667 674 675 676 679
CONTENTS Answers to Problems xi 682 Chapter 1 682 Chapter 2 692 Chapter 3 701 Chapter 4 705 Chapter 5 716 Chapter 6 723 Chapter 7 727 Chapters 733 Chapter 9 737 Glossary 741 Index 748 |
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| title | Mathematics for economics and business |
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| title_full | Mathematics for economics and business Ian Jacques |
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Inhaltsverzeichnis
THWS Schweinfurt Zentralbibliothek Lesesaal
| Signatur: |
2000 QH 110 J19(10) |
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| Exemplar 1 | ausleihbar Verfügbar Bestellen |