Further Mathematics for Economic Analysis

610 Pages·2005·58.09 MB·English

by  Knut Sydsaeter

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Peter Haranmond
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Arne Stram
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FURTHER MATHEMATICS FOR

ECONOMIC™*
ANALYSIS
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FURTHER MATHEMATICS FOR

ECONOMIC
ANALYSIS

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Preface ix

1 Topics in Linear Algebra i
1 Resa of ase Lina tgsca 2
1 Weidanee Misiossane Tui Tuses 7
123 tinea Tacependene ©

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LS MatoReslson ese fees
1 Fears *
1 anion 2
1.8 Gussie Sones 4

1D Quninaie Fone wi Lince Suess

2 Multivariable Celculus a
2i Chote 1A Dinstinnal Par vaser 3
22 Carnes See ™
23 Cine and Came Fansicns 4 B
2 Comave amd Conse Hietions 88
28 Guauomscan Qesicornes Tin ons
22 Inarfinmnons a
28 dmplioa buretoe: Thao ws @
28 Deane of een at Funston

epenscnos oS

2.1 Pystens ant queen of Selatione

1 Sysemt of Fee ua

3 Static Optimization

SL imams Pi
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2 Lauetiy Guin

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34 Tosa Seond Oude Cor btons 125
5.8 weal Coens

vin! Pangea, be
16 Consus: Geaticniore re
32 Sewnepuvits esi ne
18 Cees Ti 6
4 Topics in Integration 151
4.8 Review of Cae Verahftegtion 181
$2 Totus Fora is3
13 the Geta Fexston Iss
45 Mle sneprt ee
Prot Bering ist

45 Double Inagsatecwei Gomecd Donny 108
44 Riemann’ Metin nf

Mult neers
6 Chnagef Eales
48 Genealized Dun

ls
5 Differential Equations |
Fist-Grder Equations in

‘One Variable 185
isto Ge Hr the Yah! 389
Spaces Fevatons ton

EA Finer Linear Ba.

Bow Hnaiots ane grating He
Tenant oF Yeats

SF Qunktaie Tory aot tang

1A Exetercr al nigeress

6 Differential Equations It:
Second-Order Equations

stems inthe Plane 224
1 intadesden mn
95.2 Viner Darren ypetians

5 oneane Ces

1 Subiy so irae gua ons
Sieltnugos basins ine Pees
eda ins fw Tine Sraes

fer Phase Fhe esis
Fe Stabilo Movlnar Syste,
de Pe.

7 Differential Equations I
Higher-Order Equations 257
1 bins Dee one an

oat Coen vel

nuns
A Seems ill sl Zqnans
$5 Sait for tte Sass
6 acti the
3 A Glingeess Patel DitoenthL

Eqursors re
8 Calculus of Variations 285
1 Te Sing. Pres 88
$22 Toe aie aie a
the Lula Rosina ieNecesiny 29

4 Optimal Soon 2
AS More Genera: Fvminat Contes 288

2 ene dns n

9 Contrg! Thecry:
Basic Techniques
19 a Sing Coe
1 Tay Consens
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995 Mh Manse Piao
{alge af tions
i Se Ya a Sadie Press

1 Glen Co ns
2 Sade et Tine

1 Coneot Yates oneal
919 Sep Se

S521 Tate Ls
202 Phe Da

10 Control Theory with
Many Variables

al Copeland Stare Yas

158 onde Hart

101 Exineace shea sae Serity

V8 A Hentats Poot of te Misra
Prsiple

ng Med Cara:

11 Difference Equations
nes Dine ye tone
1 soa

Ti Seem Der Dieere Equtioos
114 Cui C33

ALE dhienc0

116 Sts of lleree Faneiout
113 Stig of Borba iferance

jenn

42 Discrete Time
Optimization
12.1 Dymacie Presi

12.2 The Bier Futon
123 loins
2A The Mina n Pots
128 Mins anh si
126 Seezats Of sr we
127 Tada Bebe Stns Poem 5

13 Topology and Separation 459
5.1 Piet Ser Toy as

2 Thpolegy and Comune an
5 Coninaas Fat as
Fa Seximo Theserne as

Mokena Mbrvers

14 Correspondences and

Fixed Paints 493
41 Cumsopuadect st
SLA Genes Mesimeen Tiss

14.1 Hine Bro for Ceszvton
A nares Bikun's
ees Ren Theoret
11S caps ia Pare Ka

bes Si

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Appendix A
Sets, Completeness and

Canvergence
Ad See a Fansisne

2 Last Sper Bound wont

AA Sogpsness of Reel Nahe

At firma Soptecua of Furcion:
Appendix &

Trigonametric Functions 539
BA Bass Defi tie an tory sy
D2 Dikkvedieigg Rigomnsine amine, HS
23 Comples Numbe ua
Answors to Odd-Numbered

Exercises 555
References, 585
Index 589
Ener erence