Preface.- Guide to the Reader.-Multivariable Calculus.- Parameterizations.- Introduction to Forms.- Forms.- Differential Forms.- Differentiation of Forms.- Stokes' Theorem.- Applications.- Manifolds.- Non-linear Forms.- References.- Index.- Solutions.
From the reviews of the second edition:“This book is a good complement to existing textbooks on vector calculus and shows a different view on classic material. It should be helpful to both physicists and mathematicians as an introduction to first concepts of the basic tools of modern theoretical physics, differential geometry, and topology.” (Vladislav Nikolaevich Dumachev, zbMATH, Vol. 1266, 2013)
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