![]() ![]() Braun distinguished Professor at the California Institute of Technology, Fellow of the Royal Society (as was Isaac Newton), and one of the world’s pre-eminent applied mathematicians, passed away on September 21, 2010, while working on the sixth edition of Vector Calculus. Integrals of Scalar Functions Over SurfacesĪpplications to Differential Geometry, Physics, and Forms of Life 413Ĩ The Integral Theorems of Vector Analysis 427 8.1Īnswers to Odd-Numbered Exercises Index 533 Photo Credits 545 The Double Integral Over More General RegionsĦ The Change of Variables Formula and Applications of Integration 307 6.1 N-Dimensional Euclidean Space Review Exercises for Chapter 1ģ Higher-Order Derivatives: Maxima and Minima 149 3.1Ĭonstrained Extrema and Lagrange Multipliers Matrices, Determinants, and the Cross Product Vectors in Two- and Three-Dimensional Space Freeman and Company Publishers 41 Madison Avenue New York, NY 10010 Houndmills, Basingstoke RG21 6XS, England Marsden-3620111Ĭontents Preface ix Acknowledgements xi Historical Introduction: A Brief Account xiii Prerequisites and Notation xxiii Printed in the United States of America First printing W. THOMPSON, CALCULUS MADE EASY, MACMILLAN (1910) The fools who write the textbooks of advanced mathematics seldom take the trouble to show you how easy the easy calculations are. EINSTEIN Some calculus tricks are quite easy. Publisher: Ruth Baruth Executive Editor: Terri Ward Executive Marketing Manager: Jennifer Somerville Associate Editor: Katrina Wilhelm Senior Media Editor: Laura Capuano Editorial Assistant: Tyler Holzer Project Editor: Vivien Weiss Art Director: Diana Blume Director of Production: Ellen Cash Illustration Coordinator: Bill Page Illustrations: Network Graphics Photo Editor: Ted Szczepanski Compositor: MPS Limited, a Macmillan Company Manufacturer: Quad Graphics Cover Image: Robert Wilson Marsden California Institute of Technology, PasadenaĪnthony Tromba University of California, Santa Cruz
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