This book, titled "Coincidence Degree, and Nonlinear Differential Equations," is part of the Lecture Notes in Mathematics series edited by A. Dold and B. Eckmann. It is authored by Robert E. Gaines from Colorado State University and Jean L. Mawhin from the Université Catholique de Louvain. The book, published by Springer-Verlag in 1977, covers various aspects of coincidence degree theory and its applications to nonlinear differential equations. It includes topics such as alternative problems, perturbations of Fredholm mappings, existence theorems, boundary value problems, approximation methods, and periodic solutions. The content is structured into twelve chapters, each focusing on specific aspects of the theory and its applications, along with a comprehensive bibliography and index.This book, titled "Coincidence Degree, and Nonlinear Differential Equations," is part of the Lecture Notes in Mathematics series edited by A. Dold and B. Eckmann. It is authored by Robert E. Gaines from Colorado State University and Jean L. Mawhin from the Université Catholique de Louvain. The book, published by Springer-Verlag in 1977, covers various aspects of coincidence degree theory and its applications to nonlinear differential equations. It includes topics such as alternative problems, perturbations of Fredholm mappings, existence theorems, boundary value problems, approximation methods, and periodic solutions. The content is structured into twelve chapters, each focusing on specific aspects of the theory and its applications, along with a comprehensive bibliography and index.