Ebene Trigonometrie & Analytische Geometrie

The three-volume textbook provides a broad foundation of mathematical principles for solving problems in cartography and geodesy. It thus equips students in cartography, geodesy, and geoinformatics with the necessary mathematical knowledge for other fields of study and for their future professional practice. The textbook series includes chapters on mathematical topics that are also relevant for many other natural science and engineering programs, as well as a number of specialized topics for students in cartography, geodesy, and geoinformatics. The first volume covers fundamental mathematical topics, including functions, matrix and vector calculus, analytical geometry, and differential and integral calculus for functions of a single real variable. The second volume addresses the areas of differential calculus for functions of multiple real variables, differential geometry, spherical trigonometry, probability theory, and mathematical statistics, as well as the representation of curves and surfaces.