Analytical Mechanics: An Introduction (Oxford Graduate Texts) by Antonio Fasano (PDF)

Description

Analytical Mechanics is the investigation of motion with the rigorous tools of mathematics, with remarkable applications to many branches of physics (Astronomy, Statistical and Quantum Mechanics, etc.). Rooted in the works of Lagrange, Euler, and Poincaré, it is a classical subject with fascinating developments and still rich with open problems. It addresses such fundamental questions as: Is the solar system stable? Is there a unifying “economy” principle inmechanics? How can a point mass be described as a “wave”?This book was written to fill a gap between elementary expositions and more advanced (and clearly more stimulating) material. It takes the challenge to explain the most relevant ideas and to show the most important applications using plain language and “simple” mathematics, often through an original approach. Basic calculus is enough for the reader to proceed through the book and when more is required, the new mathematical concepts are illustrated, again in plain language. The book is conceivedin such a way that some difficult chapters can be bypassed, whilst still grasping the main ideas. However, anybody wishing to go deeper in some directions will find at least the flavour of recent developments and many bibliographical references.Theory is always accompanied by examples. Many problems are suggested and some are completely worked out at the end of each chapter. The book may effectively be used (and it is in several Italian Universities) for undergraduate as well as for PhD courses in Physics and Mathematics at various levels.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a very fine text covering a difficult subject. I just wish that the book itself had the pages sewn in rather than adhered to some kind of plastic.

⭐good book

⭐I had Professor Fasano as lecturer in Florence. He is absolutely clear and pedagogical.This book covers even complicated topics with basic mathematical tools.Exercises are curious like the many examples which are in details solved in the book (see in particular the chapter on dynamical systems).Definitely one of my favorite books.

⭐This book covers a a lot of material with clear definitions, important theorems, interesting examples, mathematical proofs with all details.All you would like to know on basic Classical Mechanics,A very good taste in choosing topics for the text.

⭐Es un texto orientado para graduados, para los que ya tienen cursos de física sobre mecánica. No es un texto básico, sino para un curso superior. Es profundo y toca muchísimos temas. No incluye relatividad. Usa mucho lenguaje matricial y vectorial. Repito, es un texto para ya iniciados en la mecánica, no para estudiantes de primer curso de física.

⭐

⭐Perfect text

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