商品簡介
Fomenko (mathematics, Moscow State U., USSR) uses the current methods of analytical topology to explain some of the solved and unsolved variational problems of topology arising in such fields as mechanics, physics, and mathematics. For graduates and undergraduates in physics and mathematics, he introduces homology, cahomology, and vibration, important topological concepts in physics and mechanics; explores the role of Morse theory in the typology of smooth manifolds, especially of three or four dimensions; discusses minimal surfaces and harmonic mapping; and reviews the classical experiments that underlie modern multidimensional variational calculus. First published in Russian in 1984. Annotation copyright Book News, Inc. Portland, Or.