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This book offers a comprehensive exploration of Unified Mechanics Theory (UMT), providing insights into fundamental principles and practical applications across various scales of mechanical phenomena. Notably, UMT attempts to provide theoretical explanations to empirically driven important mechanical engineering concepts, thereby offering a unified framework to understand and predict mechanical behavior. Additionally, Unified Mechanics Theory can predict the degradation, aging and failure of any physical system based purely on mathematical calculations and without the need for life-span testing or curve fitting phenomenological models.

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Lo-TEK è un movimento di progettazione che si basa sulla filosofia indigena e sulle infrastrutture vernacolari per generare una tecnologia sostenibile, resiliente e basata sulla natura. Approfondisce differenti paesi che non fanno parte dell’Unione Europea, dando così una visione più ampia su cosa sia l’architettura non occidentale. Inoltre cerca di trarre dalla architettura vernacolare concetti che dovrebbero far parte della progettazione volta alla sostenibilità ambientale.

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This is the best selling proof writing book in the market right now. I am aware of 29 universities/institutions which have used this textbook in their classes: Sacramento State University, Sonoma State University, Soka University of America, American River College, Oglethorpe University, the University of Cleveland, the University of Massachusetts Amherst, Northern Kentucky University, the University of Albany, CSU Northridge, Lee University, the University of Memphis, East Carolina University, Sarah Lawrence College, Belhaven College, the University of Scranton, Southern Methodist University, the Technical University of Munich, Lusófona University, CSU San Marcos, Michigan State, Penn State, SUNY Old Westbury, CSU Stanislaus, Bandung Institute of Technology, Chico State University, Lafayette College, Wilfrid Laurier University and Maggie Walker Governor’s School.

The main theme of this book is that “Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation.” Not only does this textbook introduce traditional proof-writing in a wonderfully clear and organized way, the text is also full of wildly amusing footnotes. This text will be great as a supplement to the very staid text assigned for very abstract mathematics that math, physics, and computer engineering students must endure.

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Seconda edizione aggiornata.

Richiesto dagli studenti di Modellazione Funzionale delle Macchine e dei corsi di Disegno Meccanico

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Much of the monographs on the applications of dynamical systems and chaos are currently bounded to the realm of classical mechanics. This text is one of the few available in the market that extends the applications to quantum level.

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This is an English translation of the legendary Italian mathematician F.G. Tricomi’s “Equazioni Differenziali,” who is from Turin.

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This undergraduate mathematics textbook blends Euclidean and non-Euclidean geometry, using isometries as a unifying thread, and culminates in a geometric discussion of special relativity. By the end, from isometries to the Lorentz–Minkowski plane, the book builds an understanding of how geometry can be used to model special relativity. This textbook provides a geometrical prerequisite to study special relativity for students with limited exposure to advanced mathematics.

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This is a very readable introduction to the infamous and classic three-body problem and other celestial mechanics topics. It is very reader-friendly that even undergraduate students with sufficient background in mathematical analysis and linear algebra can read fluently.

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This is an easy and modern introduction to functional analysis with minimum prerequisites. This textbook covers key results in functional analysis that are essential for further study in the calculus of variations, analysis, dynamical systems, and the theory of partial differential equations. Given the fact that many students (except for physics and mathematics majors) don’t get to take functional analysis courses, this textbook would be a valuable addition for those students in other engineering disciplines who wish to study the calculus of variations, dynamical systems, PDEs, etc. in depth.

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To understand the general theory of dynamical systems and chaos, one needs to understand the concepts of modern differential geometry like manifolds, advanced understandings of vector fields (e.g. Lie derivatives), and differential forms. This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master’s students. It places special emphasis on motivation and understanding, while developing a solid intuition for the more abstract concepts. In contrast to graduate level references, the text relies on a minimal set of prerequisites: a solid grounding in linear algebra and multivariable calculus, and ideally a course on ordinary differential equations. Manifolds are introduced intrinsically in terms of coordinate patches glued by transition functions. The theory is presented as a natural continuation of multivariable calculus; the role of point-set topology is kept to a minimum.

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