a short course in differential geometry and topology a t fomenko and a s mishchenko s p a short course in differential geometry and topology a t fomenko and a ...
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...A short course in differential geometry and topology t fomenko s mishchenko p faculty of mechanics mathematics moscow state university cambridge scientific publishers cover design clare turner all rights reserved no part this book may be reprinted or reproduced utilised any form by electronic mechanical other means now known hereafter invented including photocopying recording information storage retrieval system without prior permission writing from the publisher british library cataloguing publication data catalogue record for has been requested congress isbn ltd o box cottenham cb rt uk www cambridgescientificpublishers com printed bound great britain cpi antony rowe chippenham eastbourne contents preface ix introduction to curvilinear coordinate systems simplest examples motivation cartesian coordinates length curve euclidean concept riemannian metric domain space indefinite metrics on sphere plane pseudo lobachevskii general definitions properties topological spaces continuous mapp...