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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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This is a textbook with a very unique structure. Starting with basic topological space theory for beginners, it has everything a student would need, but there are also chapters on its vast and interesting applications: dynamical systems, graphs, knots, manifolds, and cosmology. The author is Professor Colin Adams of Williams College, who is also well-known for his knot theory textbook, and provides a very broad introduction to the application of topology to other disciplines. If a student is interested in topics such as knot theory or graphs, or one is a student in other disciplines need a knowledge in topology, this is a textbook that he/she can look into as a supplementary textbook while studying other mainstream topology books.

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The book starts with basic elasticity theory and energy methods for small volumes, which are usually covered in many other solid mechanics books, but later on, it introduces all kinds of interesting and unfamiliar concepts, such as shear stress in composite materials and asymmetric shear stress. It is indeed a challenging book, however I believe it will be a nice addition to the library for masters students, advanced undergraduate students, and even 2nd year students who who have strong motivation to learn solid mechanics in depth.

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Un viaggio alla scoperta di donne che si sono fatte strada in un mondo di uomini, raccontato da foto di gruppo in cui è presente un’unica donna. Un focus unico sul ruolo di donne e uomini nella vita pubblica dal 1860 ad oggi, con interessanti esempi da quasi 20 paesi, Immy Humes racconta la storia di 100 donne rivoluzionarie, celebri e meno note, provenienti da ambiti diversi: scrittrici, direttrici, atlete, ferroviere, astronaute, combattenti per i diritti civili. Un contributo inedito alla storia culturale e visuale fatto di storie mai raccolte, scandali, misteri e divertimento.

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Questo saggio racconta il percorso personale di formazione, individuale e collettivo, delle due autrici. Il primo passo è il riconoscimento dell’abilismo che permea la nostra società e dei meccanismi con cui marginalizza le persone con disabilità come loro. Il secondo è iniziare a decostruirlo giorno per giorno e provare a farlo tuttә insieme. Il terzo è comprendere come funziona il rapporto tra le persone con disabilità e il resto della società. Perché la disabilità non è qualcosa di intrinseco, non è dentro i corpi o le menti delle persone, ma è il risultato di una relazione sbagliata tra loro e il mondo abilista in cui viviamo.

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L’assoluta dipendenza dalle automobili ci ha condotti a credere che non ci siano alternative credibili. Andrea Coccia rivela come l’industria automobilistica abbia plasmato il nostro mondo, portandoci a una società interamente orientata verso l’auto. Dal passato alle congestioni urbane attuali, l’autore ci spinge a opporci a questo modello e a immaginare strategie di mobilità più sostenibili.

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Le etichette come barboni e senzatetto nascondono la realtà di chi, per vari motivi, si trova senza una casa. In questo libro, Daniela Leonardi rompe gli stereotipi, presentando le persone senza dimora come individui e sottolineando che la loro condizione è spesso il risultato di politiche inefficienti, non di colpe personali.

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Il testo è interessante in quanto testimonia la tradizione del cemento nel contesto rurale islandese, nel periodo compreso tra il 1790 e il 1945. Il tema è molto poco conosciuto e qui sviluppato attraverso differenti sfaccettature, dalle più strutturali a quelle di carattere più sociale e/o culturale. Non secondario il fatto che questo testo sia uno dei frutti di un percorso di dottorato proprio del Politecnico di Torino.

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