This volume presents two major topics in Lie theory: compactifications of Riemannian symmetric spaces and the branching laws of unitary representations. It explores various geometric compactifications (e.g., Satake, Furstenberg) and their applications, alongside an in-depth study of how unitary representations of semisimple Lie groups decompose when restricted to subgroups. Aimed at advanced gr…
An Introduction to Riemann–Finsler Geometry offers a rigorous yet accessible graduate-level treatment of Finsler geometry—a natural generalization of Riemannian geometry where tangent spaces carry Minkowski norms rather than inner products. The text begins with fundamental definitions and explores basic structures such as the Chern connection, curvature, and geodesics. Advanced topics inclu…
Far more "user friendly" than the vast majority of similar books, this volume is truly written with the unsophisticated reader in mind. The pace is leisurely, but the authors are rigorous and maintain a serious attitude towards theorem proving throughout. Emphasizes "Active Reading" throughout, a skill vital to success in learning how to write proofs. Offers two sections on probability (2.4 and…
This respected textbook offers a foundational exploration of structural analysis principles for civil and aeronautical engineering students. Divided into two parts, it begins with basic structural theory—covering loads, reactions, bending, shear, trusses, influence lines, and energy methods. The second part introduces systematic analysis, including matrix and stiffness methods suitable for co…