Elements of Mathematics for Economics and Finance

ISBN-10: 1846285607

ISBN-13: 9781846285608

Edition: 2007

Authors: Timothy N. Phillips, Vassilis C. Mavron

List price: $54.95
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Based on over 15 years experience in the design and delivery of successful first-year courses, this book equips undergraduates with the mathematical skills required for degree courses in economics, finance, management and business studies. The book starts with a summary of basic skills and takes its readers as far as constrained optimisation helping them to become confident and competent in the use of mathematical tools and techniques that can be applied to a range of problems in economics and finance. Designed as both a course text and a handbook, the book assumes little prior mathematical knowledge beyond elementary algebra and is therefore suitable for students returning to mathematics after a long break. The fundamental ideas are described in the simplest mathematical terms, highlighting threads of common mathematical theory in the various topics. Features include: a systematic approach: ideas are touched upon, introduced gradually and then consolidated through the use of illustrative examples; several entry points to accommodate differing mathematical backgrounds; numerous worked examples and exercises to illustrate the theory and applications; full solutions to exercises, available to lecturers via the web. Vass Mavron is Professor of Mathematics in the Institute of Mathematical and Physical Sciences at the University of Wales Aberystwyth. Tim Phillips is Professor of Mathematics and Professorial Fellow in the School of Mathematics at Cardiff University.
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Book details

List price: $54.95
Copyright year: 2007
Publisher: Springer
Publication date: 11/29/2006
Binding: Paperback
Pages: 312
Size: 6.75" wide x 9.00" long x 0.75" tall
Weight: 1.144
Language: English

General aspects of epilepsies
What is epilepsy?
Making the correct diagnosis in epilepsies
The ILAE classification of epileptic seizures and epileptic syndromes
Epidemiology of epilepsies
Epileptic seizures and their classification
The formal definition of epileptic seizures
Classification of epileptic seizures
Generalised epileptic seizures
Focal epileptic seizures
Reflex epileptic seizures
Status epilepticus
Generalised tonic-clonic status epilepticus
Generalised tonic status epilepticus
Generalised myoclonic status epilepticus
Absence status epilepticus
Focal status epilepticus
Treatment of status epilepticus
Imitators of epileptic seizures
Main types of epileptic seizures and their imitators
Syncopal attacks imitating epileptic seizures
Psychogenic NEPEs imitating epileptic seizures
Non-epileptic paroxysmal movement disorders imitating epileptic seizures
Non-epileptic severe amnesic and confusional attacks imitating epileptic seizures
NEPEs occurring during sleep and sleep disorders
Subjective non-epileptic paroxysmal symptoms imitating simple focal seizures
Migraine, migralepsy, basilar migraine with EEG occipital paroxysms and diagnostic errors
Epileptic syndromes and their classification
ILAE definitions of epileptic syndromes 1989
ILAE classification of epileptic syndromes
Syndromic classification of the new diagnostic ILAE scheme
EEG and brain imaging
EEG in the diagnosis and management of epilepsies
Brain imaging in the diagnosis and management of epilepsies
Principles of therapy in the epilepsies
AED prophylactic treatment
Surgery for epilepsies
Vagus (or vagal) nerve stimulation
Ketogenic diet
Corticosteroids in the treatment of childhood epilepsies
Neonatal epileptic seizures and neonatal epileptic syndromes
Neonatal epileptic seizures
Neonatal epileptic syndromes
Benign familial neonatal seizures
Benign neonatal seizures (non-familial)
Early myoclonic encephalopathy
Ohtahara syndrome
Idiopathic epileptic seizures and syndromes in infancy
Febrile seizures
Epilepsy with febrile seizures plus
Benign infantile seizures
Myoclonic epilepsy in infancy
Epileptic encephalopathies in infancy and early childhood
West syndrome
Dravet syndrome
Lennox-Gastaut syndrome
Landau-Kleffner syndrome
Epilepsy with continuous spikes and waves during slow-wave sleep
Myoclonic encephalopathy in non-progressive disorders
Atypical benign partial epilepsy of childhood
Hypothalamic (gelastic) epilepsy
Severe neocortical epileptic syndromes in infancy and childhood
Kozhevnikov-Rasmussen syndrome
Migrating focal seizures of infancy
Hemiconvulsion-hemiplegia epilepsy
Benign childhood focal seizures and related epileptic syndromes
Benign childhood epilepsy with centrotemporal spikes
Panayiotopoulos syndrome
Idiopathic childhood occipital epilepsy of Gastaut
Other phenotypes of BCSSS
Benign childhood seizure susceptibility syndrome: a unified concept of BCSSS
Benign (isolated) focal seizures of adolescence
Management of benign childhood focal seizures
Idiopathic generalised epilepsies
Syndromes of IGE recognised by the ILAE
Epilepsy with myoclonic-astatic seizures
Childhood absence epilepsy
Epilepsy with myoclonic absences
Juvenile absence epilepsy
Juvenile myoclonic epilepsy
Epilepsy with GTCSs only
Other probable syndromes of IGE to consider
Autosomal dominant cortical tremor, myoclonus and epilepsy
AED treatment of IGEs
Familial (autosomal dominant) focal epilepsies
Autosomal dominant nocturnal frontal lobe epilepsy
Familial (autosomal dominant) temporal lobe epilepsy
Familial mesial temporal lobe epilepsy
Familial lateral temporal lobe epilepsy
Familial focal epilepsy with variable foci
Other possible familial (autosomal dominant) focal epilepsies not yet recognised
Symptomatic and cryptogenic (probably symptomatic) focal epilepsies
Temporal lobe epilepsies
Mesial TLE with hippocampal sclerosis
MTLE defin
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