Building bridges between classical results and contemporary nonstandard
problems, this highly relevant work embraces important topics in
analysis and algebra from a problem-solving perspective. The book is
structured to assist the reader in formulating and proving conjectures,
as well as devising solutions to important mathematical problems by
making connections between various concepts and ideas from different
areas of mathematics. Instructors and motivated mathematics students
from high school juniors to college seniors will find the work a useful
resource in calculus, linear and abstract algebra, analysis and
differential equations. Students with an interest in mathematics
competitions must have this book in their personal libraries.