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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Albert Nijenhuis is a Dutch mathematician at the University of Washington and the University of Pennsylvania working on combinatorics and differential geometry, who introduced the Nijenhuis tensor (1951), the Schouten-Nijenhuis bracket (1955), the Frölicher-Nijenhuis bracket (1955), and the Nijenhuis-Richardson bracket (1964). Differential geometry is a mathematical discipline that uses the methods of differential and integral calculus, as well as linear and multilinear algebra, to study problems in geometry. The theory of plane and space curves and of surfaces in the three-dimensional Euclidean space formed the basis for its initial development in the eighteenth and nineteenth century.