This groundbreaking work presents new approaches to the theory of addition theorems for spherical waves. With applications in fields ranging from optics to acoustics, this book is an indispensable resource for researchers and students alike. The authors provide clear explanations and insightful examples, making even complex topics accessible to readers with a basic understanding of calculus and spherical harmonics. 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.