Essential mathematics for economic analysis:
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow, England ; London ; New York
Pearson
[2021]
|
| Ausgabe: | Sixth edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes index |
| Beschreibung: | xviii, 930 Seiten Illustrationen, Diagramme |
| ISBN: | 9781292359281 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV047399308 | ||
| 003 | DE-604 | ||
| 005 | 20250326 | ||
| 007 | t| | ||
| 008 | 210803s2021 xx a||| |||| 00||| eng d | ||
| 020 | |a 9781292359281 |c pbk |9 978-1-292-35928-1 | ||
| 035 | |a (OCoLC)1237338737 | ||
| 035 | |a (DE-599)HEB478093918 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-Aug4 |a DE-11 |a DE-1050 |a DE-634 |a DE-573 |a DE-19 |a DE-1043 |a DE-473 | ||
| 084 | |a QH 110 |0 (DE-625)141531: |2 rvk | ||
| 100 | 1 | |a Sydsæter, Knut |d 1937-2012 |e Verfasser |0 (DE-588)129255114 |4 aut | |
| 245 | 1 | 0 | |a Essential mathematics for economic analysis |c Knut Sydsæter, Peter Hammond, Arne Strøm and Andrés Carvajal |
| 246 | 1 | 3 | |a Economic analysis |
| 250 | |a Sixth edition | ||
| 264 | 1 | |a Harlow, England ; London ; New York |b Pearson |c [2021] | |
| 264 | 4 | |c © 2021 | |
| 300 | |a xviii, 930 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes index | ||
| 650 | 0 | 7 | |a Wirtschaftsmathematik |0 (DE-588)4066472-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a E-Tutorial |0 (DE-588)1052163807 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebra |0 (DE-588)4001156-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Integralrechnung |0 (DE-588)4027232-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wirtschaftswissenschaften |0 (DE-588)4066528-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Statistik |0 (DE-588)4056995-0 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
| 689 | 0 | 0 | |a Mathematik |0 (DE-588)4037944-9 |D s |
| 689 | 0 | 1 | |a E-Tutorial |0 (DE-588)1052163807 |D s |
| 689 | 0 | 2 | |a Wirtschaftswissenschaften |0 (DE-588)4066528-8 |D s |
| 689 | 0 | 3 | |a Integralrechnung |0 (DE-588)4027232-1 |D s |
| 689 | 0 | 4 | |a Statistik |0 (DE-588)4056995-0 |D s |
| 689 | 0 | 5 | |a Wirtschaftsmathematik |0 (DE-588)4066472-7 |D s |
| 689 | 0 | 6 | |a Algebra |0 (DE-588)4001156-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Strøm, Arne |d 1941- |e Verfasser |0 (DE-588)120816253 |4 aut | |
| 700 | 1 | |a Hammond, Peter J. |d 1945- |e Verfasser |0 (DE-588)129255122 |4 aut | |
| 700 | 1 | |a Carvajal, Andrés |e Verfasser |0 (DE-588)171776550 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-1-292-35929-8 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-1-292-35932-8 |
| 856 | 4 | 2 | |m Digitalisierung UB Bamberg - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032800449&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-032800449 | |
Datensatz im Suchindex
| _version_ | 1828737681253728256 |
|---|---|
| adam_text |
CONTENTS Preface 1 PRELIMINARIES 1 Essentials of Logic and Set Theory 1.1 1.2 1.3 1.4 Essentials of Set Theory Essentials of Logic Mathematical Proofs Mathematical Induction Review Exercises 2 Algebra 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 2.10 2.11 2.12 The Real Numbers Integer Powers Rules of Algebra Fractions Fractional Powers Inequalities Intervals and Absolute Values Sign Diagrams Summation Notation Rules for Sums Newton’s Binomial Formula Double Sums Review Exercises xiii 1 3 3 10 16 18 20 23 23 26 33 38 43 48 52 56 59 62 66 70 72 3 Solving Equations 3.1 3.2 3.3 3.4 3.5 3.6 Solving Equations Equations and Their Parameters Quadratic Equations Some Nonlinear Equations Using Implication Arrows Two Linear Equations in Two Unknowns Review Exercises 77 77 80 83 89 91 92 96 4 Functions of One Variable 99 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 4.10 99 100 106 110 116 120 127 135 136 141 147 Introduction Definitions Graphs of Functions Linear Functions Linear Models Quadratic Functions Polynomials Power Functions Exponential Functions Logarithmic Functions Review Exercises 5 Properties of Functions 5.1 5.2 Shifting Graphs New Functions from Old 151 151 156
viii CONTENTS Inverse Functions Graphs of Equations Distance in the Plane General Functions Review Exercises 5.3 5.4 5.5 5.6 II SINGLE VARIABLE CALCULUS 6 Differentiation 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 6.101 6.11 Slopes of Curves Tangents and Derivatives Increasing and Decreasing Functions Economic Applications A Brief Introduction to Limits Simple Rules for Differentiation Sums, Products, and Quotients The Chain Rule Higher-Order Derivatives Exponential Functions Logarithmic Functions Review Exercises 7 1Derivatives in Use 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 7.10 7.11I 7.12 Implicit Differentiation Economic Examples The Inverse Function Theorem Linear Approximations Polynomial Approximations Taylor’s Formula Elasticities Continuity More on Limits The Intermediate Value Theorem Infinite Sequences L’Hôpital s Rule Review Exercises 8 Concave and Convex Functions 8.1 8.2 8.3 8.4 Intuition Definitions General Properties First-Derivative Tests 160 166 170 174 177 179 181 181 183 189 192 195 201 205 212 218 220 224 230 233 233 240 244 248 253 256 259 264 270 279 283 287 292 295 295 297 305 309 8.5 8.6 Second-Derivative Tests Inflection Points Review Exercises 9 Optimization 9.1 9.2 9.3 9.4 9.5 9.6 Extreme Points Simple Tests for Extreme Points Economic Examples The Extreme and Mean Value Theorems Further Economic Examples Local Extreme Points Review Exercises 10 Integration 10.1 10.2 10.3 10.4 10.5 10.6 10.7 Indefinite Integrals Area and Definite Integrals Properties of Definite Integrals Economic Applications Integration by Parts Integration by Substitution Improper
Integrals Review Exercises 11 Topics in Finance and Dynamics 11.1 11.2 11.3 11.4 11.5 11.6 11.7 11.8 11.9 11.10 III Interest Periods and Effective Rates Continuous Compounding Present Value Geometric Series Total Present Value Mortgage Repayments Internal Rate of Return A Glimpse at Difference Equations Essentials of Differential Equations Separable and Linear Differential Equations Review Exercises MULTIVARIABLE ALGEBRA 12 Matrix Algebra 12.1 Matrices and Vectors 312 316 319 321 321 324 328 334 340 345 352 355 355 361 368 373 380 384 389 396 399 399 403 405 408 414 419 423 425 428 435 441 445 447 447
CONTENTS 12.2 12.3 12.4 12.5 12.6 12.7 12.8 12.9 12.10 Systems of Linear Equations Matrix Addition Algebra of Vectors Matrix Multiplication Rules for Matrix Multiplication The Transpose Gaussian Elimination Geometric Interpretation of Vectors Lines and Planes —eyieY LAcreiSes 13 Determinants, inverses, and Quadratic Forms 13.1 13.2 13.3 13.4 13.5 13.6 13.7 13.8 13.9 13.10 13.11 13.121 IV Determinants of Order 2 Determinants of Order 3 Determinants in General Basic Rules for Determinants Expansion by Cofactors The Inverse of a Matrix A General Formula for the Inverse Cramer’s Rule The Leontief Model Eigenvalues and Eigenvectors Diagonalization Quadratic Forms Review Exercises MULTIVARIABLE CALCULUS 14 Functions of Many Variables Functions of Two Variables Partial Derivatives with Two Variables Geometric Representation Surfaces and Distance Functions of n Variables Partial Derivatives with Many Variables 14.7 Convex Sets 14.8 Concave and Convex Functions 14.9 Economic Applications 14.101 Partial Elasticities Review Exercises 14.1 14.2 14.3 14.4 14.5 14.6 450 453 455 458 463 470 473 479 487 492 495 495 499 504 508 514 517 524 527 531 536 543 547 556 15 Partial Derivatives in Use A Simple Chain Rule Chain Rules for Many Variables Implicit Differentiation along a Level Curve 15.4 Level Surfaces 15.5 Elasticity of Substitution 15.6 Homogeneous Functions of Two Variables 15.7 Homogeneous and Homothetic Functions 15.8 Linear Approximations 15.9 Differentials 15.10 Systems of Equations 15.11' Differentiating Systems of Equations Review Exercises 15.1 15.2 15.3 16 Multiple Integrals
16.1 16.2 16.3 16.4 V 559 561 561 565 571 578 581 586 590 595 606 608 610 Double Integrals Over Finite Rectangles Infinite Rectangles of Integration Discontinuous Integrands and Other Extensions Integration Over Many Variables MULTIVARIABLE OPTIMIZATION 17 Unconstrained Optimization 17.1 17.2 17.3 17.4 17.5 17.6 17.7 Two Choice Variables: Necessary Conditions Two Choice Variables: Sufficient Conditions Local Extreme Points Linear Models with Quadratic Objectives The Extreme Value Theorem Functions of More Variables Comparative Statics and the Envelope Theorem Review Exercises ÎX 613 613 619 623 628 632 634 639 645 654 659 663 669 673 673 680 682 684 687 689 690 694 699 705 712 717 722 728
X CONTENTS 18 Equality Constraints 18.1 18.2 18.3 18.4 18.5 18.6 18.7 The Lagrange Multiplier Method Interpreting the Lagrange Multiplier Multiple Solution Candidates Why Does the Lagrange Multiplier Method Work? Sufficient Conditions Additional Variables and Constraints Comparative Statics Review Exercises 19 Linear Programming 19.1 19.2 19.3 19.4 19.5 A Graphical Approach Introduction to Duality Theory The Duality Theorem A General Economic Interpretation Complementary Slackness Review Exercises 731 731 739 742 20 Nonlinear Programming 20.1 20.2 20.3 744 749 753 759 765 Two Variables and One Constraint Many Variables and Inequality Constraints Nonnegativity Constraints Review Exercises Appendix Geometry The Greek Alphabet Bibliography 797 797 804 812 817 819 819 822 822 769 770 776 781 786 788 794 Solutions to the Exercises 823 Index Publisher's Acknowledgements 953 |
| adam_txt | |
| any_adam_object | 1 |
| any_adam_object_boolean | |
| author | Sydsæter, Knut 1937-2012 Strøm, Arne 1941- Hammond, Peter J. 1945- Carvajal, Andrés |
| author_GND | (DE-588)129255114 (DE-588)120816253 (DE-588)129255122 (DE-588)171776550 |
| author_facet | Sydsæter, Knut 1937-2012 Strøm, Arne 1941- Hammond, Peter J. 1945- Carvajal, Andrés |
| author_role | aut aut aut aut |
| author_sort | Sydsæter, Knut 1937-2012 |
| author_variant | k s ks a s as p j h pj pjh a c ac |
| building | Verbundindex |
| bvnumber | BV047399308 |
| classification_rvk | QH 110 |
| ctrlnum | (OCoLC)1237338737 (DE-599)HEB478093918 |
| discipline | Wirtschaftswissenschaften |
| discipline_str_mv | Wirtschaftswissenschaften |
| edition | Sixth edition |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV047399308</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20250326</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">210803s2021 xx a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781292359281</subfield><subfield code="c">pbk</subfield><subfield code="9">978-1-292-35928-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1237338737</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)HEB478093918</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-Aug4</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-1050</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-573</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-1043</subfield><subfield code="a">DE-473</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">QH 110</subfield><subfield code="0">(DE-625)141531:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Sydsæter, Knut</subfield><subfield code="d">1937-2012</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)129255114</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Essential mathematics for economic analysis</subfield><subfield code="c">Knut Sydsæter, Peter Hammond, Arne Strøm and Andrés Carvajal</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Economic analysis</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Sixth edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Harlow, England ; London ; New York</subfield><subfield code="b">Pearson</subfield><subfield code="c">[2021]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2021</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xviii, 930 Seiten</subfield><subfield code="b">Illustrationen, Diagramme</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes index</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wirtschaftsmathematik</subfield><subfield code="0">(DE-588)4066472-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">E-Tutorial</subfield><subfield code="0">(DE-588)1052163807</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebra</subfield><subfield code="0">(DE-588)4001156-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Integralrechnung</subfield><subfield code="0">(DE-588)4027232-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wirtschaftswissenschaften</subfield><subfield code="0">(DE-588)4066528-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Statistik</subfield><subfield code="0">(DE-588)4056995-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">E-Tutorial</subfield><subfield code="0">(DE-588)1052163807</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Wirtschaftswissenschaften</subfield><subfield code="0">(DE-588)4066528-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Integralrechnung</subfield><subfield code="0">(DE-588)4027232-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="4"><subfield code="a">Statistik</subfield><subfield code="0">(DE-588)4056995-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="5"><subfield code="a">Wirtschaftsmathematik</subfield><subfield code="0">(DE-588)4066472-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="6"><subfield code="a">Algebra</subfield><subfield code="0">(DE-588)4001156-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Strøm, Arne</subfield><subfield code="d">1941-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)120816253</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hammond, Peter J.</subfield><subfield code="d">1945-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)129255122</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Carvajal, Andrés</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)171776550</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe, PDF</subfield><subfield code="z">978-1-292-35929-8</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe, EPUB</subfield><subfield code="z">978-1-292-35932-8</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Bamberg - ADAM Catalogue Enrichment</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032800449&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-032800449</subfield></datafield></record></collection> |
| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV047399308 |
| illustrated | Illustrated |
| index_date | 2024-07-03T17:52:00Z |
| indexdate | 2025-04-07T10:02:37Z |
| institution | BVB |
| isbn | 9781292359281 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032800449 |
| oclc_num | 1237338737 |
| open_access_boolean | |
| owner | DE-Aug4 DE-11 DE-1050 DE-634 DE-573 DE-19 DE-BY-UBM DE-1043 DE-473 DE-BY-UBG |
| owner_facet | DE-Aug4 DE-11 DE-1050 DE-634 DE-573 DE-19 DE-BY-UBM DE-1043 DE-473 DE-BY-UBG |
| physical | xviii, 930 Seiten Illustrationen, Diagramme |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | Pearson |
| record_format | marc |
| spelling | Sydsæter, Knut 1937-2012 Verfasser (DE-588)129255114 aut Essential mathematics for economic analysis Knut Sydsæter, Peter Hammond, Arne Strøm and Andrés Carvajal Economic analysis Sixth edition Harlow, England ; London ; New York Pearson [2021] © 2021 xviii, 930 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Includes index Wirtschaftsmathematik (DE-588)4066472-7 gnd rswk-swf E-Tutorial (DE-588)1052163807 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Integralrechnung (DE-588)4027232-1 gnd rswk-swf Wirtschaftswissenschaften (DE-588)4066528-8 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf (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 DE-604 Strøm, Arne 1941- Verfasser (DE-588)120816253 aut Hammond, Peter J. 1945- Verfasser (DE-588)129255122 aut Carvajal, Andrés Verfasser (DE-588)171776550 aut Erscheint auch als Online-Ausgabe, PDF 978-1-292-35929-8 Erscheint auch als Online-Ausgabe, EPUB 978-1-292-35932-8 Digitalisierung UB Bamberg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032800449&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sydsæter, Knut 1937-2012 Strøm, Arne 1941- Hammond, Peter J. 1945- Carvajal, Andrés Essential mathematics for economic analysis Wirtschaftsmathematik (DE-588)4066472-7 gnd E-Tutorial (DE-588)1052163807 gnd Algebra (DE-588)4001156-2 gnd Integralrechnung (DE-588)4027232-1 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd Mathematik (DE-588)4037944-9 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4066472-7 (DE-588)1052163807 (DE-588)4001156-2 (DE-588)4027232-1 (DE-588)4066528-8 (DE-588)4037944-9 (DE-588)4056995-0 (DE-588)4123623-3 |
| title | Essential mathematics for economic analysis |
| title_alt | 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, Peter Hammond, Arne Strøm and Andrés Carvajal |
| title_fullStr | Essential mathematics for economic analysis Knut Sydsæter, Peter Hammond, Arne Strøm and Andrés Carvajal |
| title_full_unstemmed | Essential mathematics for economic analysis Knut Sydsæter, Peter Hammond, Arne Strøm and Andrés Carvajal |
| title_short | Essential mathematics for economic analysis |
| title_sort | essential mathematics for economic analysis |
| topic | Wirtschaftsmathematik (DE-588)4066472-7 gnd E-Tutorial (DE-588)1052163807 gnd Algebra (DE-588)4001156-2 gnd Integralrechnung (DE-588)4027232-1 gnd Wirtschaftswissenschaften (DE-588)4066528-8 gnd Mathematik (DE-588)4037944-9 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Wirtschaftsmathematik E-Tutorial Algebra Integralrechnung Wirtschaftswissenschaften Mathematik Statistik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032800449&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT sydsæterknut essentialmathematicsforeconomicanalysis AT strømarne essentialmathematicsforeconomicanalysis AT hammondpeterj essentialmathematicsforeconomicanalysis AT carvajalandres essentialmathematicsforeconomicanalysis AT sydsæterknut economicanalysis AT strømarne economicanalysis AT hammondpeterj economicanalysis AT carvajalandres economicanalysis |