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Students often encounter concepts of dynamical systems and analytical mechanics (Hamiltonian formulation) without prior experience in differential geometry. Unlike many other mainstream introductory differential geometry textbooks, this textbook exposes students to Riemannian and symplectic geometry, which are used in the studies of dynamical systems and Hamiltonian mechanics with minimum prerequisites.

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At Politecnico di Torino, except for a few majors, no course delves into the theories of partial differential equations. Nevertheless, partial differential equations are ubiquitous and indispensable tools for almost all areas of engineering and physics. This book provides extremely comprehensive materials with minimum prerequisites (MA I, MA II, Linear Algebra) on the theory of PDEs, including numerical methods.

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Attività di ricerca inerente alla radionavigazione con sistemi satellitari (GNSS) nello spazio Terra/Luna nell’ambito del Lunar GNSS Receiver Experiment (LuGRE). LuGRE è un progetto di ricerca e sviluppo tecnologico in collaborazione tra ASI e NASA che ha l’obiettivo di utilizzare i segnali delle costellazioni GPS e Galileo nella fase di trasferimento del Lander verso la Luna ed in quella successiva all’allunaggio. LuGRE sperimenterà il posizionamento con i sistemi GPS e Galileo oltre i 200.000 km di distanza, il che costituisce un elemento di assoluto rilievo in quanto ad oggi non ci sono precedenti dell’utilizzo dei segnali Galileo per il calcolo della posizione di un veicolo spaziale oltre l’orbita terrestre. I dati della sperimentazione raccolti ed elaborati verranno messi a disposizione della comunità scientifica per lo studio dell’ambiente lunare e cislunare, oltre che per valutare l’uso futuro del GNSS e delle sue evoluzioni a supporto di missioni permanenti. In particolare, il ruolo di Prime Investigator (italiano) sarà in carico al gruppo NavSAS del Dipartimento di Elettronica e Telecomunicazioni (DET) del Politecnico di Torino.

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Il libro risulta introvabile nelle biblioteche di Torino e presenta una narrazione importnate della ricerca sulal fusione nucleare, potenzialmente utile nel corso di storia della scienza e delle tecniche.

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Neurosymbolic AI is a young field which is still being actively defined and explored, and this book will be of interest to those working in AI research and development.

The book is intended to follow and extend the work of the previous book, Neuro-symbolic artificial intelligence: The state of the art (already present in the online catalogue) which laid out the breadth of the field at that time.

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Terzo volume di una serie su sistemi di gestione delle batterie da parte dell’autore più autorevole nel campo, che è di enorme rilevanza per il settore dell’autoveicolo. La biblioteca ha già in catalogo i primi due volumi.

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Tristan Needham, a well celebrated mathematics author for his masterpiece “Visual Complex Analysis,” wrote this another masterpiece.

This book, “Visual Differential Geometry and Forms” fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide new geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to Differential Forms that treats advanced topics in an intuitive and geometrical manner.

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While Steven H. Strogatz’s masterpiece “Nonlinear Dynamics and Chaos” was written in a way to make dynamical system to be understandable for non-mathematicians, this book is intended for little bit more mathematically mature audience. Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains.

“Even though there are many dynamical systems books on the market, this book is bound to become a classic. The theory is explained with attractive stories illustrating the theory of dynamical systems, such as the Newton method, the Feigenbaum renormalization picture, fractal geometry, the Perron-Frobenius mechanism, and Google PageRank.” — Oliver Knill, PhD, Preceptor of Mathematics, Harvard University

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This is one of the most popular graduate-level mathematical physics textbooks along with Arfken’s book. As of the latest edition, the 2nd edition introduced hereby, Clifford algebra and expression theory have been added, and the explanation of the mathematical foundations of differential manifolds, fiber bundles, and gauge theory, starting with tensor analysis is contained in the book in the most detail manner than any other textbooks.

The first part deals with linear algebra as an introduction to abstract algebra. Not only does it rigorously introduce mathematical theories, but it also does not miss practical calculation methods in physics. Afterward, the basics of functional analysis are briefly covered, and then the classification of differential equations and solution series in physics, Fourier transform, and complex analysis will be covered in depth. Integral transformation and integral equations are covered in one chapter each, and Green’s function, which spans three chapters, can be said to be the highlight of the first half of mathematical physics. In the case of finite group theory, it is covered in several times more detail and rigor than Arfken.

In addition, several chapters are devoted to explaining representation theory, and there are very detailed and application-oriented examples, providing a foundation for a solid understanding of quantum mechanics for undergraduate students and above.

The expression of Lie group and Lie algebra is also covered in detail. The symmetry of a system of differential equations through the application of Lie group and Lie algebra is explained over two chapters, and the complete explanation of Noether’s theorem at the end is the highlight. The last part is a thorough introduction to differential geometry and Riemannian geometry based on bundle theory.

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This is a comprehensive book on the fundamentals of turbomachinery. This was also a recommended reading related to turbomachinery and fluid power in my course.

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