problems in Differential Equations.

Firenze, Olschki Ed. 2013, cm 17 x 24, xxvi-278 pp. con 16 tavv. f.t. a colori. Edizione nazionale delle opere di Antonio Vallisneri - Biblioteca, 9. Il volume esamina gli studi vallisneriani nel campo delle scienze della Terra, valutandone l’influenza presso la Repubblica delle Lettere europea. Avvalendosi di competenze e criteri d’indagine sia storici che naturalistici, l’autore analizza la ricerca sul campo e le teorie elaborate da Vallisneri su alcuni temi centrali per la scienza sei/settecentesca: l’origine delle sorgenti, la formazione dei monti e dei fossili, la diatriba sul diluvialismo e sull’età della Terra. / This book focuses on the studies performed by Antonio Vallisneri in the field of the Earth sciences, also examining the impact that those investigations had on the European Republic of Letters. Relying on both naturalistic and historical competencies, the author analyses Vallisneri’s field research and theories, that concerned several crucial topics such as the genesis of mountains and fountains, the debate on the origin of fossils, and the discovery of deep-time.

New York, Dover Publications 2013, cm.14x21, pp.XIII,214, brossura copertina figurata a colori. "Analytical Fracture Mechanics should prove to be a valuable resource to both the new student and the experienced researcher in fracture mechanics. It is recommended." ? Applied Mechanics Review One of the central concerns of engineering is the failure of materials. Addressing this concern, fracture mechanics ? an interdisciplinary subject spanning mechanical, civil, and materials engineering, applied mathematics, and physics ? predicts the conditions under which such failure will occur due to crack growth. This valuable self-contained text by an expert in the field supplements standard fracture mechanics texts by focusing on analytical methods for determining crack-tip stress and strain fields. Following a comprehensive 120-page introduction ? which provides all the background necessary for understanding the remaining chapters ? the book is organized around a series of elastoplastic and hydrogen-assisted crack-tip problems and their solutions. The first chapter presents the only proven solution technique for the second order nonlinear partial differential equation governing a mode I elastoplastic crack problem. Other chapters deal with plastic zone transitions, environmental cracking, and small-scale yielding versus exact linear elastic solutions. One of the excellent features of this book is the clarity with which groups of problems are presented and related to each other. Another is the careful attention it gives to the various modes of fracture (I, II, and III) and to showing the circumstances under which information from a solution for one mode may be used to infer information in another mode. For this edition, the author has added a new appendix, "Stress Across an Elastoplastic Boundary of a Mode I Crack: Parabolic to Hyperbolic Plasticity Transition."

New York, Dover Publications 1999, cm.16x24 pp.X,265, brossura copertina figurata a colori. Group theory represents one of the most fundamental elements of mathematics. Indispensable in nearly every branch of the field, concepts from the theory of groups also have important applications beyond mathematics, in such areas as quantum mechanics and crystallography. Hans J. Zassenhaus, a pioneer in the study of group theory, has designed this useful, well-written, graduate-level text to acquaint the reader with group-theoretic methods and to demonstrate their usefulness as tools in the solution of mathematical and physical problems. Starting with an exposition of the fundamental concepts of group theory, including an investigation of axioms, the calculus of complexes, and a theorem of Frobenius, the author moves on to a detailed investigation of the concept of homomorphic mapping, along with an examination of the structure and construction of composite groups from simple components. The elements of the theory of p-groups receive a coherent treatment, and the volume concludes with an explanation of a method by which solvable factor groups may be split off from a finite group. Many of the proofs in the text are shorter and more transparent than the usual, older ones, and a series of helpful appendixes presents material new to this edition. This material includes an account of the connections between lattice theory and group theory, and many advanced exercises illustrating both lattice-theoretical ideas and the extension of group-theoretical concepts to multiplicative domains.

Centro Modniale di Studi Umanisti 1994, cm.11x15, pp.94 brossura copertina a colori.