Mathematicians and students of mathematics alike will find value in this work by Kurt Otto Friedrichs. The book explores a finite difference scheme for the Neumann and Dirichlet problems, making it a valuable resource for anyone studying differential equations. Packed with clear explanations and helpful examples, it is sure to be a valuable addition to any math library or curriculum. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.