Fundamentals of mathematics are presented in the two-volume set in an exciting and pedagogically sound way. The present volume examines the most important basic results in geometry and discrete mathematics, along with their proofs, and also their history.

New: A chapter on discrete Morse theory and still more graph theory for solving further classical problems as the Travelling Salesman and Postman problem.

B. Fine,U Fairfield, USA;A. MoldenhauerandG. Rosenberger, U Hamburg, Germany;A. SchürenbergandL. Wienke, U Bremen, Germany.