Workbook On Aspects Of Dynamical Meteorology

Workbook on Aspects of Dynamical Meteorology A Self Discovery Mathematical Journey for Inquisitive Minds First Edition Jan D. Gertenbach Workbook on Aspects of Dynamical Meteorology A Self Discovery Mathematical Journey for Inquisitive Minds First Edition Workbook on Aspects of Dynamical Meteorology A Self Discovery Mathematical Journey for Inquisitive Minds First Edition Jan D. Gertenbach SA Weather Bureau Private Bag X097 Pretoria, 0001 South Africa c
2001 by the Author. All Rights Reserved No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, without permission from the author. ISBN 0-620-27229-5 This book was typeset in AMSTEX. Photographs were obtained from http://www.photolib.noaa.gov Contents 1. Fundamental Mathematical Aspects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1. Vector algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.1. Vector space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.2. Basis and co-ordinate system . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.3. Scalar product . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.4. Vector product . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.1.5. Orthogonal vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2. Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.3. Differentiation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .