In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.

This artist depicted the remnants of a tree hanging over the edge of a cliff after a lightning strike in Storm in the Mountains, and he showed a man walking toward the titular structure high on a cliff in The Monastery of San Pedro. His former home Olana is now a tourist site, and no single place inspired the setting of Twilight in the Wilderness. Various trips led to many of his works, including The Icebergs and Falls of Tequendama, as well as images of the volcanos Chimborozo and Cotopaxi. For ten points, name this student of Thomas Cole who painted a famous version of some New York falls in Niagara and an idealized South American landscape in Heart of the Andes.
Fine Arts

One party in this conflict was led for part of it by the namesake of a battleship famous in a later conflict, the Duke of Caxias. This clash was precipitated by the ouster of Atansio Aguirre. Victory at Curupayty forestalled defeat for the eventual losers, whose fate was practically sealed after the naval Battle of Riachuelo. This war's namesake treaty was the brainchild of Bartolom Mitre, who favored the Colorado Party over the Blanco Party in Uruguay. FTP, name this conflict in which Paraguay under Francisco Solano Lpez was eventually defeated by the namesake entity, consisting of Argentina, Brazil, and Uruguay.
History

Using Ramanujan's identity or a combination of the Euler identity and Jacobi triple product, p congruencies for it can be found, and Liebniz noted that it was not prime for n equals 7. Numbers which can not be written as a product of it correspond to nonisomorphic Abelian groups that are not possible for any group order. As a function of the volume, temperature, and number of particles in a system, it connects the mechanical properties of a system, through the quantized energies, with the system's thermodynamic properties and its inverse serves as the constant of proportionality between the probability of finding the system in a certain quantum state and the Boltzmann factor. FTP, what is this quantity, represented as Q or Z, which is the sum of all the energy states of a system and gives the distributed of energy over all the possible microstates of the system
Science