In "Supermanifolds," Bryce DeWitt embarks on a groundbreaking exploration of the complex and fascinating world where modern physics and geometry intertwine, offering a comprehensive and updated second edition that delves deep into the theory of supermanifolds. This seminal work stands as a testament to DeWitt's mastery, providing a rigorous exposition that extends the foundational structures of ordinary manifold theory into the realm of supernumbers, Berezin integration, and beyond. With meticulous detail, DeWitt introduces readers to the super-analogs of Lie derivatives, connections, metrics, and curvature, paving the way for a profound understanding of super Lie groups, super Lie algebras, and the geometric structures that govern their interactions. Beyond its theoretical contributions, "Supermanifolds" ventures into uncharted territories of applications, from the Peierals bracket in superclassical dynamical systems to the nuances of fermionic quantum systems and Bose–Fermi supersymmetry models. The addition of a new chapter in this revised edition highlights the significance of configuration supermanifold topology in understanding dynamical systems, offering a novel perspective on the path integral derivation of the Chern–Gauss–Bonnet formula. DeWitt's work is not only a monumental academic achievement but also a compelling invitation to explore the rich geometrical landscape that supermanifolds provide. With its blend of rigorous scholarship and engaging exposition, "Supermanifolds" is essential reading for physicists and mathematicians eager to expand their horizons into the supersymmetric universe.