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Further Mathematics for Economic Analysis de Knut Sydsaeter

Further Mathematics for Economic Analysis

Autor Knut Sydsaeter, Peter Hammond, Atle Seierstand, Arne Strøm
en Limba Engleză Paperback – 31 mai 2008

Observăm că, spre deosebire de Fundamental Methods of Mathematical Economics de Alpha Chiang, care se concentrează pe o prezentare elegantă a metodelor de bază, Further Mathematics for Economic Analysis face trecerea decisivă către rigoarea necesară cercetării economice avansate. Complementar volumului Mathematics for Economics, fourth edition de John Livernois, acest text acoperă zona tehnicilor matematice complexe necesare pentru studiile de masterat și doctorat, pe care manualele introductive le omit adesea.

Descoperim aici un echilibru precis între formalismul matematic și aplicabilitatea economică. Dacă în lucrarea anterioară a autorilor, Mathematik für Wirtschaftswissenschaftler, accentul era pus pe fundamentele analizei și algebrei elementare, în acest al doilea volum Knut Sydsaeter și echipa sa ridică ștacheta. Găsim în această carte o tratare aprofundată a optimizării, a programării matematice și a teoriei controlului optimal, elemente esențiale pentru modelarea comportamentului agenților economici.

Structura celor 616 pagini este concepută pentru a fi solicitantă, dar accesibilă celor care stăpânesc deja bazele calculului diferențial. În timp ce Mathematical Methods and Models for Economists de Angel de la Fuente pune un accent major pe spațiile metrice, volumul de față prioritizează integrarea armonioasă a exemplelor economice în demonstrațiile matematice. Este un instrument de lucru care transformă abstracția matematică într-un limbaj funcțional pentru analiza stabilității sistemelor dinamice și a proceselor de interacțiune economică, fiind publicat sub egida prestigioasă a Prentice Hall.

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Specificații

ISBN-13: 9780273713289
ISBN-10: 0273713280
Pagini: 616
Dimensiuni: 185 x 239 x 33 mm
Greutate: 1.2 kg
Ediția:Nouă
Editura: Prentice Hall
Locul publicării:Harlow, United Kingdom

De ce să citești această carte

Recomandăm această carte studenților de la facultățile de economie care doresc să depășească nivelul cursurilor standard de matematică. Cititorul va câștiga rigoarea necesară pentru a înțelege și a construi modele economice complexe. Este un volum esențial pentru oricine vizează un program de masterat sau doctorat, oferind instrumentele matematice indispensabile pentru microeconomia și macroeconomia avansată.

Cuprins

 
PREFACE
1. Topics in linear algebra
2. Multivariable calculus
3. Static optimization
4. Topics in integration
5. Differential equations i: First order equations
6. Differential equations ii: Second order equations systems in the plane
7. Differential equations iii: Highest-order equations
8. Calculus of variations
9. Control theory i: Basic techniques
10. Control theory ii: Extensions
11. Difference equations
12. Discrete time optimization
13. Topology and separation
14. Correspondences. Fixed points
APPENDIX 1: COMPLETENESS AND CONVERGENCE IN R
APPENDIX 2: TRIGONOMETRIC FUNCTIONS
ANSWERS
REFERENCES
INDEX

Textul de pe ultima copertă

Further Mathematics for Economic Analysis 2nd edition takes you to the next level beyond the widely used companion volume Essential Mathematics for Economic Analysis.  You can progressively extend your previous mathematical knowledge through its systematic and appropriately rigorous treatment of topics like multivariable calculus, constrained static optimization, the calculus of variations, optimal control theory, and dynamic programming
Further Mathematics for Economic Analysis 2nd edition is distinctive because of its emphasis on dynamic optimization, an important yet often underplayed tool in areas such as resource and environmental economics and growth theory. It is written in such a way that many chapters can be read in isolation, so you are free to pick the topics most relevant to you.  In this new edition, several chapters have been extensively rewritten, and numerous other improvements made.
New to this Edition:
·         Answers to almost all of the 600 problems in the book for students to self check
·         Student’s Manual with extended worked answers to selected problems in the book
·         Instructor’s Manual now contains a large range of additional supplementary problems, simple to advanced, suitable for use in examinations
The book is ideal for advanced undergraduate and graduate students of economics who have a basic undergraduate course in calculus and linear algebra.  It presents most of the mathematical tools they will encounter in their advanced courses in economics.  It is also ideally suited for self-study because of the extensive answers it offers to problems throughout the book.
Peter Hammond is currently the Marie Curie Professor of Economics at the University of Warwick, and an Emeritus Professor at Stanford University.  His many research publications are mostly theoretical, but extend over several different fields of economics.   For many years he taught courses in mathematics for economists and in mathematical economics at Stanford, as well as earlier at the University of Essex and the London School of Economics.
Knut Sydsæter, Atle Seierstad, and Arne Strøm all have extensive experience in teaching mathematics for economists in the Department of Economics at the University of Oslo. With Peter Berck at Berkeley, Knut Sydsæter and Arne Strøm have written a widely used formula book, Economists’ Mathematical Manual (Springer, 2005). The 1987 North-Holland book Optimal Control Theory for Economists by Atle Seierstad and Knut Sydsæter is still a standard reference in the field.
Visit www.pearsoned.co.uk/sydsaeter to access the supplementary resources for this text including a new Student’s Manual with extended answers broken down step by step to selected problems in the text.






 

Caracteristici

  • Systematic treatment of the calculus of variations, optimal control theory and dynamic programming.
  • Several early chapters review and extend material in the previous book on
    elementary matrix algebra, multivariable calculus, and static optimization.
  • New! Coverage on optimisation transferred from Essentials of Economic analysis
  • New! Extended answers to problems are available online in a new Students Manual along with additional practice problems.

Descriere scurtă

Further Mathematics for Economic Analysis is a companion volume to the successful and highly regarded Essential Mathematics for Economic Analysis. It finds the right balance between mathematics and economic examples, providing a text that is demanding in level and broad ranging in content, whilst remaining accessible and interesting to its target audience.This book is intended for advanced undergraduate and graduate students of economics whose mathematical requirements go beyond the material usually taught in undergraduate courses.