Holdings: Essential mathematics for economic analysis

Essential mathematics for economic analysis:

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Bibliographic Details
Main Authors:	Sydsæter, Knut 1937-2012 (Author), Hammond, Peter J. 1945- (Author)
Format:	Book
Language:	English
Published:	Harlow [u.a.] Prentice Hall [u.a.] 2006
Edition:	2. ed.
Subjects:	Economics, Mathematical Mathematik Algebra Statistik Wirtschaftswissenschaften E-Tutorial Wirtschaftsmathematik Integralrechnung Einführung Lehrbuch
Online Access:	Inhaltsverzeichnis Inhaltsverzeichnis
Item Description:	Includes index
Physical Description:	XIII, 714 S. graph. Darst.
ISBN:	027368180X

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adam_text	CONTENTS PREFACE IX 1 INTRODUCTORY TOPICS I: ALGEBRA 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 THE REAL NUMBERS INTEGER POWERS RULES OF ALGEBRA FRACTIONS FRACTIONAL POWERS INEQUALITIES INTERVALS AND ABSOLUTE VALUES REVIEW PROBLEMS FOR CHAPTER 1 1 4 10 16 21 26 32 35 2 INTRODUCTORY TOPICS II: EQUATIONS 37 2.1 HOW TO SOLVE SIMPLE EQUATIONS 37 2.2 EQUATIONS WITH PARAMETERS 40 2.3 QUADRATIC EQUATIONS 43 2.4 LINEAR EQUATIONS IN TWO UNKNOWNS 49 2.5 NONLINEAR EQUATIONS 52 REVIEW PROBLEMS FOR CHAPTER 2 54 3 INTRODUCTORY TOPICS III: MISCELLANEOUS 55 3.1 SUMMATION NOTATION 55 3.2 RULES FOR SUMS. NEWTON S BINOMIAL FORMULA 59 3.3 DOUBLE SUMS 64 3.4 A FEW ASPECTS OF LOGIC 66 3.5 MATHEMATICAL PROOFS 72 3.6 ESSENTIALS OF SET THEORY 74 3.7 MATHEMATICAL INDUCTION 79 REVIEW PROBLEMS FOR CHAPTER 3 81 4 FUNCTIONS OF ONE VARIABLE 83 4.1 INTRODUCTION 83 4.2 BASIC DEFINITIONS 84 4.3 GRAPHS OF FUNCTIONS 90 4.4 LINEAR FUNCTIONS 94 4.5 LINEAR MODELS 101 4.6 QUADRATIC FUNCTIONS 104 4.7 POLYNOMIALS 112 4.8 POWER FUNCTIONS 119 4.9 EXPONENTIAL FUNCTIONS 121 4.10 LOGARITHMIC FUNCTIONS 127 REVIEW PROBLEMS FOR CHAPTER 4 132 5 PROPERTIES OF FUNCTIONS 135 5.1 SHIFTING GRAPHS 135 5.2 NEW FUNCTIONS FROM OLD 140 5.3 INVERSE FUNCTIONS 144 5.4 GRAPHS OF EQUATIONS 151 5.5 DISTANCE IN THE PLANE. CIRCLES 154 VI CONTENTS 5.6 GENERAL FUNCTIONS 158 REVIEW PROBLEMS FOR CHAPTER 5 161 6 DIFFERENTIATION 163 6.1 SLOPES OF CURVES 163 6.2 THE DERIVATIVE. TANGENTS 165 6.3 INCREASING AND DECREASING FUNCTIONS 171 6.4 RATES OF CHANGE 173 6.5 A DASH OF LIMITS 177 6.6 SIMPLE RULES FOR DIFFERENTIATION 182 6.7 SUMS, PRODUCTS, AND QUOTIENTS 186 6.8 CHAIN RULE 193 6.9 HIGHER-ORDER DERIVATIVES 198 6.10 EXPONENTIAL FUNCTIONS 203 6.11 LOGARITHMIC FUNCTIONS 207 REVIEW PROBLEMS FOR CHAPTER 6 213 7 DERIVATIVES IN USE 215 7.1 IMPLICIT DIFFERENTIATION 215 7.2 ECONOMIC EXAMPLES 220 7.3 DIFFERENTIATING THE INVERSE 223 7.4 LINEAR APPROXIMATIONS 226 7.5 POLYNOMIAL APPROXIMATIONS 231 7.6 TAYLOR S FORMULA 235 7.7 WHY ECONOMISTS USE ELASTICITIES 238 7.8 CONTINUITY 243 7.9 MORE ON LIMITS 247 7.10 INTERMEDIATE VALUE THEOREM. NEWTON S METHOD 255 7.11 INFINITE SEQUENCES 259 7.12 L HOEPITAL S RULE 262 REVIEW PROBLEMS FOR CHAPTER 7 266 8 SINGLE-VARIABLE OPTIMIZATION 269 8.1 INTRODUCTION 269 8.2 SIMPLE TESTS FOR EXTREME POINTS 272 8.3 ECONOMIC EXAMPLES 276 8.4 THE EXTREME-VALUE THEOREM 281 8.5 FURTHER ECONOMIC EXAMPLES 287 8.6 LOCAL EXTREME POINTS 292 8.7 INFLECTION POINTS 298 REVIEW PROBLEMS FOR CHAPTER 8 303 9 INTEGRATION 305 9.1 INDEFINITE INTEGRALS 305 9.2 AREA AND DEFINITE INTEGRALS 311 9.3 PROPERTIES OF DEFINITE INTEGRALS 317 9.4 ECONOMIC APPLICATIONS 321 9.5 INTEGRATION BY PARTS 328 9.6 INTEGRATION BY SUBSTITUTION 331 9.7 INFINITE INTERVALS OF INTEGRATION 334 9.8 A GLIMPSE AT DIFFERENTIAL EQUATIONS 341 REVIEW PROBLEMS FOR CHAPTER 9 346 10 INTEREST RATES AND PRESENT VALUES 349 10.1 INTEREST PERIODS AND EFFECTIVE RATES 349 10.2 CONTINUOUS COMPOUNDING 353 10.3 PRESENT VALUE 355 10.4 GEOMETRIC SERIES 358 10.5 TOTAL PRESENT VALUE 362 10.6 MORTGAGE REPAYMENTS 368 10.7 INTERNAL RATE OF RETURN 373 REVIEW PROBLEMS FOR CHAPTER 10 374 11 FUNCTIONS OF MANY VARIABLES 377 11.1 FUNCTIONS OF TWO VARIABLES 377 11.2 PARTIAL DERIVATIVES WITH TWO VARIABLES 381 11.3 GEOMETRIC REPRESENTATION 387 11.4 SURFACES AND DISTANCE 394 11.5 FUNCTIONS OF MORE VARIABLES 397 11.6 PARTIAL DERIVATIVES WITH MORE VARIABLES 402 11.7 ECONOMIC APPLICATIONS 406 11.8 PARTIAL ELASTICITIES 408 REVIEW PROBLEMS FOR CHAPTER 11 410 12 TOOLS FOR COMPARATIVE STATICS 413 12.1 12.2 12.3 12.4 12.5 12.6 A SIMPLE CHAIN RULE CHAIN RULES FOR MANY VARIABLES IMPLICIT DIFFERENTIATION ALONG A LEVEL CURVE MORE GENERAL CASES ELASTICITY OF SUBSTITUTION HOMOGENEOUS FUNCTIONS OF TWO VARIABLES 413 418 422 426 430 433 VII 12.7 GENERAL HOMOGENEOUS AND HOMOTHETIC FUNCTIONS 437 12.8 LINEAR APPROXIMATIONS 443 12.9 DIFFERENTIALS 447 12.10 SYSTEMS OF EQUATIONS 451 12.11 DIFFERENTIATING SYSTEMS OF EQUATIONS 455 REVIEW PROBLEMS FOR CHAPTER 12 461 13 MULTIVARIABLE OPTIMIZATION 463 13.1 TWO VARIABLES: NECESSARY CONDITIONS 463 13.2 TWO VARIABLES: SUFFICIENT CONDITIONS 468 13.3 LOCAL EXTREME POINTS 472 13.4 LINEAR MODELS WITH QUADRATIC OBJECTIVES 478 13.5 THE EXTREME-VALUE THEOREM 486 13.6 THREE OR MORE VARIABLES 492 13.7 COMPARATIVE STATICS AND THE ENVELOPE THEOREM 496 REVIEW PROBLEMS FOR CHAPTER 13 500 14 CONSTRAINED OPTIMIZATION 503 14.1 THE LAGRANGE MULTIPLIER METHOD 503 14.2 INTERPRETING THE LAGRANGE MULTIPLIER 509 14.3 WHY THE LAGRANGE MULTIPLIER METHOD WORKS 512 14.4 SUFFICIENT CONDITIONS 517 14.5 MORE VARIABLES AND MORE CONSTRAINTS 520 14.6 COMPARATIVE STATICS 527 14.7 NONLINEAR PROGRAMMING: A SIMPLE CASE 532 14.8 MORE ON NONLINEAR PROGRAMMING 538 REVIEW PROBLEMS FOR CHAPTER 14 546 15 MATRIX AND VECTOR ALGEBRA 549 15.1 SYSTEMS OF LINEAR EQUATIONS 15.2 MATRICES AND MATRIX OPERATIONS 549 553 15.3 MATRIX MULTIPLICATION 557 15.4 RULES FOR MATRIX MULTIPLICATION 561 15.5 THE TRANSPOSE 568 15.6 GAUSSIAN ELIMINATION 570 15.7 VECTORS 576 15.8 GEOMETRIC INTERPRETATION OF VECTORS 580 15.9 LINES AND PLANES 585 REVIEW PROBLEMS FOR CHAPTER 15 589 16 DETERMINANTSAND INVERSE MATRICES 591 16.1 DETERMINANTS OF ORDER 2 591 16.2 DETERMINANTS OF ORDER 3 595 16.3 DETERMINANTS OF ORDER N 599 16.4 BASIC RULES FOR DETERMINANTS 602 16.5 EXPANSION BY COFACTORS 607 16.6 THE INVERSE OF A MATRIX 610 16.7 A GENERAL FORMULA FOR THE INVERSE 616 16.8 CRAMER S RULE 619 16.9 THE LEONTIEF MODEL 623 REVIEW PROBLEMS FOR CHAPTER 16 626 17 LINEAR PROGRAMMING 629 37.1 PRELIMINARIES 629 17.2 INTRODUCTION TO DUALITY THEORY 635 17.3 THE DUALITY THEOREM 639 17.4 A GENERAL ECONOMIC INTERPRETATION 642 17.5 COMPLEMENTARY SLACKNESS 644 REVIEW PROBLEMS FOR CHAPTER 17 650 APPENDIX: GEOMETRY 651 THE GREEK ALPHABET 653 ANSWERS TO SELECTED PROBLEMS 655 INDEX 709
adam_txt	CONTENTS PREFACE IX 1 INTRODUCTORY TOPICS I: ALGEBRA 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 THE REAL NUMBERS INTEGER POWERS RULES OF ALGEBRA FRACTIONS FRACTIONAL POWERS INEQUALITIES INTERVALS AND ABSOLUTE VALUES REVIEW PROBLEMS FOR CHAPTER 1 1 4 10 16 21 26 32 35 2 INTRODUCTORY TOPICS II: EQUATIONS 37 2.1 HOW TO SOLVE SIMPLE EQUATIONS 37 2.2 EQUATIONS WITH PARAMETERS 40 2.3 QUADRATIC EQUATIONS 43 2.4 LINEAR EQUATIONS IN TWO UNKNOWNS 49 2.5 NONLINEAR EQUATIONS 52 REVIEW PROBLEMS FOR CHAPTER 2 54 3 INTRODUCTORY TOPICS III: MISCELLANEOUS 55 3.1 SUMMATION NOTATION 55 3.2 RULES FOR SUMS. NEWTON'S BINOMIAL FORMULA 59 3.3 DOUBLE SUMS 64 3.4 A FEW ASPECTS OF LOGIC 66 3.5 MATHEMATICAL PROOFS 72 3.6 ESSENTIALS OF SET THEORY 74 3.7 MATHEMATICAL INDUCTION 79 REVIEW PROBLEMS FOR CHAPTER 3 81 4 FUNCTIONS OF ONE VARIABLE 83 4.1 INTRODUCTION 83 4.2 BASIC DEFINITIONS 84 4.3 GRAPHS OF FUNCTIONS 90 4.4 LINEAR FUNCTIONS 94 4.5 LINEAR MODELS 101 4.6 QUADRATIC FUNCTIONS 104 4.7 POLYNOMIALS 112 4.8 POWER FUNCTIONS 119 4.9 EXPONENTIAL FUNCTIONS 121 4.10 LOGARITHMIC FUNCTIONS 127 REVIEW PROBLEMS FOR CHAPTER 4 132 5 PROPERTIES OF FUNCTIONS 135 5.1 SHIFTING GRAPHS 135 5.2 NEW FUNCTIONS FROM OLD 140 5.3 INVERSE FUNCTIONS 144 5.4 GRAPHS OF EQUATIONS 151 5.5 DISTANCE IN THE PLANE. CIRCLES 154 VI CONTENTS 5.6 GENERAL FUNCTIONS 158 REVIEW PROBLEMS FOR CHAPTER 5 161 6 DIFFERENTIATION 163 6.1 SLOPES OF CURVES 163 6.2 THE DERIVATIVE. TANGENTS 165 6.3 INCREASING AND DECREASING FUNCTIONS 171 6.4 RATES OF CHANGE 173 6.5 A DASH OF LIMITS 177 6.6 SIMPLE RULES FOR DIFFERENTIATION 182 6.7 SUMS, PRODUCTS, AND QUOTIENTS 186 6.8 CHAIN RULE 193 6.9 HIGHER-ORDER DERIVATIVES 198 6.10 EXPONENTIAL FUNCTIONS 203 6.11 LOGARITHMIC FUNCTIONS 207 REVIEW PROBLEMS FOR CHAPTER 6 213 7 DERIVATIVES IN USE 215 7.1 IMPLICIT DIFFERENTIATION 215 7.2 ECONOMIC EXAMPLES 220 7.3 DIFFERENTIATING THE INVERSE 223 7.4 LINEAR APPROXIMATIONS 226 7.5 POLYNOMIAL APPROXIMATIONS 231 7.6 TAYLOR'S FORMULA 235 7.7 WHY ECONOMISTS USE ELASTICITIES 238 7.8 CONTINUITY 243 7.9 MORE ON LIMITS 247 7.10 INTERMEDIATE VALUE THEOREM. NEWTON'S METHOD 255 7.11 INFINITE SEQUENCES 259 7.12 L'HOEPITAL'S RULE 262 REVIEW PROBLEMS FOR CHAPTER 7 266 8 SINGLE-VARIABLE OPTIMIZATION 269 8.1 INTRODUCTION 269 8.2 SIMPLE TESTS FOR EXTREME POINTS 272 8.3 ECONOMIC EXAMPLES 276 8.4 THE EXTREME-VALUE THEOREM 281 8.5 FURTHER ECONOMIC EXAMPLES 287 8.6 LOCAL EXTREME POINTS 292 8.7 INFLECTION POINTS 298 REVIEW PROBLEMS FOR CHAPTER 8 303 9 INTEGRATION 305 9.1 INDEFINITE INTEGRALS 305 9.2 AREA AND DEFINITE INTEGRALS 311 9.3 PROPERTIES OF DEFINITE INTEGRALS 317 9.4 ECONOMIC APPLICATIONS 321 9.5 INTEGRATION BY PARTS 328 9.6 INTEGRATION BY SUBSTITUTION 331 9.7 INFINITE INTERVALS OF INTEGRATION 334 9.8 A GLIMPSE AT DIFFERENTIAL EQUATIONS 341 REVIEW PROBLEMS FOR CHAPTER 9 346 10 INTEREST RATES AND PRESENT VALUES 349 10.1 INTEREST PERIODS AND EFFECTIVE RATES 349 10.2 CONTINUOUS COMPOUNDING 353 10.3 PRESENT VALUE 355 10.4 GEOMETRIC SERIES 358 10.5 TOTAL PRESENT VALUE 362 10.6 MORTGAGE REPAYMENTS 368 10.7 INTERNAL RATE OF RETURN 373 REVIEW PROBLEMS FOR CHAPTER 10 374 11 FUNCTIONS OF MANY VARIABLES 377 11.1 FUNCTIONS OF TWO VARIABLES 377 11.2 PARTIAL DERIVATIVES WITH TWO VARIABLES 381 11.3 GEOMETRIC REPRESENTATION 387 11.4 SURFACES AND DISTANCE 394 11.5 FUNCTIONS OF MORE VARIABLES 397 11.6 PARTIAL DERIVATIVES WITH MORE VARIABLES 402 11.7 ECONOMIC APPLICATIONS 406 11.8 PARTIAL ELASTICITIES 408 REVIEW PROBLEMS FOR CHAPTER 11 410 12 TOOLS FOR COMPARATIVE STATICS 413 12.1 12.2 12.3 12.4 12.5 12.6 A SIMPLE CHAIN RULE CHAIN RULES FOR MANY VARIABLES IMPLICIT DIFFERENTIATION ALONG A LEVEL CURVE MORE GENERAL CASES ELASTICITY OF SUBSTITUTION HOMOGENEOUS FUNCTIONS OF TWO VARIABLES 413 418 422 426 430 433 VII 12.7 GENERAL HOMOGENEOUS AND HOMOTHETIC FUNCTIONS 437 12.8 LINEAR APPROXIMATIONS 443 12.9 DIFFERENTIALS 447 12.10 SYSTEMS OF EQUATIONS 451 12.11 DIFFERENTIATING SYSTEMS OF EQUATIONS 455 REVIEW PROBLEMS FOR CHAPTER 12 461 13 MULTIVARIABLE OPTIMIZATION 463 13.1 TWO VARIABLES: NECESSARY CONDITIONS 463 13.2 TWO VARIABLES: SUFFICIENT CONDITIONS 468 13.3 LOCAL EXTREME POINTS 472 13.4 LINEAR MODELS WITH QUADRATIC OBJECTIVES 478 13.5 THE EXTREME-VALUE THEOREM 486 13.6 THREE OR MORE VARIABLES 492 13.7 COMPARATIVE STATICS AND THE ENVELOPE THEOREM 496 REVIEW PROBLEMS FOR CHAPTER 13 500 14 CONSTRAINED OPTIMIZATION 503 14.1 THE LAGRANGE MULTIPLIER METHOD 503 14.2 INTERPRETING THE LAGRANGE MULTIPLIER 509 14.3 WHY THE LAGRANGE MULTIPLIER METHOD WORKS 512 14.4 SUFFICIENT CONDITIONS 517 14.5 MORE VARIABLES AND MORE CONSTRAINTS 520 14.6 COMPARATIVE STATICS 527 14.7 NONLINEAR PROGRAMMING: A SIMPLE CASE 532 14.8 MORE ON NONLINEAR PROGRAMMING 538 REVIEW PROBLEMS FOR CHAPTER 14 546 15 MATRIX AND VECTOR ALGEBRA 549 15.1 SYSTEMS OF LINEAR EQUATIONS 15.2 MATRICES AND MATRIX OPERATIONS 549 553 15.3 MATRIX MULTIPLICATION 557 15.4 RULES FOR MATRIX MULTIPLICATION 561 15.5 THE TRANSPOSE 568 15.6 GAUSSIAN ELIMINATION 570 15.7 VECTORS 576 15.8 GEOMETRIC INTERPRETATION OF VECTORS 580 15.9 LINES AND PLANES 585 REVIEW PROBLEMS FOR CHAPTER 15 589 16 DETERMINANTSAND INVERSE MATRICES 591 16.1 DETERMINANTS OF ORDER 2 591 16.2 DETERMINANTS OF ORDER 3 595 16.3 DETERMINANTS OF ORDER N 599 16.4 BASIC RULES FOR DETERMINANTS 602 16.5 EXPANSION BY COFACTORS 607 16.6 THE INVERSE OF A MATRIX 610 16.7 A GENERAL FORMULA FOR THE INVERSE 616 16.8 CRAMER'S RULE 619 16.9 THE LEONTIEF MODEL 623 REVIEW PROBLEMS FOR CHAPTER 16 626 17 LINEAR PROGRAMMING 629 37.1 PRELIMINARIES 629 17.2 INTRODUCTION TO DUALITY THEORY 635 17.3 THE DUALITY THEOREM 639 17.4 A GENERAL ECONOMIC INTERPRETATION 642 17.5 COMPLEMENTARY SLACKNESS 644 REVIEW PROBLEMS FOR CHAPTER 17 650 APPENDIX: GEOMETRY 651 THE GREEK ALPHABET 653 ANSWERS TO SELECTED PROBLEMS 655 INDEX 709
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genre	(DE-588)4151278-9 Einführung gnd-content (DE-588)4123623-3 Lehrbuch gnd-content
genre_facet	Einführung Lehrbuch
id	DE-604.BV021256710
illustrated	Illustrated
index_date	2024-07-02T13:40:46Z
indexdate	2024-07-09T20:34:00Z
institution	BVB
isbn	027368180X
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-014577995
oclc_num	156764848
open_access_boolean
owner	DE-19 DE-BY-UBM DE-29T DE-473 DE-BY-UBG DE-83 DE-2070s
owner_facet	DE-19 DE-BY-UBM DE-29T DE-473 DE-BY-UBG DE-83 DE-2070s
physical	XIII, 714 S. graph. Darst.
publishDate	2006
publishDateSearch	2006
publishDateSort	2006
publisher	Prentice Hall [u.a.]
record_format	marc
spelling	Sydsæter, Knut 1937-2012 Verfasser (DE-588)129255114 aut Essential mathematics for economic analysis Knut Sydsæter and Peter Hammond 2. ed. Harlow [u.a.] Prentice Hall [u.a.] 2006 XIII, 714 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes index Economics, Mathematical Mathematik (DE-588)4037944-9 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Wirtschaftswissenschaften (DE-588)4066528-8 gnd rswk-swf E-Tutorial (DE-588)1052163807 gnd rswk-swf Wirtschaftsmathematik (DE-588)4066472-7 gnd rswk-swf Integralrechnung (DE-588)4027232-1 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content (DE-588)4123623-3 Lehrbuch gnd-content Mathematik (DE-588)4037944-9 s E-Tutorial (DE-588)1052163807 s Wirtschaftswissenschaften (DE-588)4066528-8 s Integralrechnung (DE-588)4027232-1 s Statistik (DE-588)4056995-0 s Wirtschaftsmathematik (DE-588)4066472-7 s Algebra (DE-588)4001156-2 s 1\p DE-604 Hammond, Peter J. 1945- Verfasser (DE-588)129255122 aut http://www3.ub.tu-berlin.de/ihv/001686680.pdf Inhaltsverzeichnis SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014577995&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Sydsæter, Knut 1937-2012 Hammond, Peter J. 1945- Essential mathematics for economic analysis Economics, Mathematical Mathematik (DE-588)4037944-9 gnd Algebra (DE-588)4001156-2 gnd Statistik (DE-588)4056995-0 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd E-Tutorial (DE-588)1052163807 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Integralrechnung (DE-588)4027232-1 gnd
subject_GND	(DE-588)4037944-9 (DE-588)4001156-2 (DE-588)4056995-0 (DE-588)4066528-8 (DE-588)1052163807 (DE-588)4066472-7 (DE-588)4027232-1 (DE-588)4151278-9 (DE-588)4123623-3
title	Essential mathematics for economic analysis
title_auth	Essential mathematics for economic analysis
title_exact_search	Essential mathematics for economic analysis
title_exact_search_txtP	Essential mathematics for economic analysis
title_full	Essential mathematics for economic analysis Knut Sydsæter and Peter Hammond
title_fullStr	Essential mathematics for economic analysis Knut Sydsæter and Peter Hammond
title_full_unstemmed	Essential mathematics for economic analysis Knut Sydsæter and Peter Hammond
title_short	Essential mathematics for economic analysis
title_sort	essential mathematics for economic analysis
topic	Economics, Mathematical Mathematik (DE-588)4037944-9 gnd Algebra (DE-588)4001156-2 gnd Statistik (DE-588)4056995-0 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd E-Tutorial (DE-588)1052163807 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Integralrechnung (DE-588)4027232-1 gnd
topic_facet	Economics, Mathematical Mathematik Algebra Statistik Wirtschaftswissenschaften E-Tutorial Wirtschaftsmathematik Integralrechnung Einführung Lehrbuch
url	http://www3.ub.tu-berlin.de/ihv/001686680.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014577995&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT sydsæterknut essentialmathematicsforeconomicanalysis AT hammondpeterj essentialmathematicsforeconomicanalysis

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