Mathematics and Mechanics - The Interplay - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics and Mechanics - The Interplay write by Luigi Morino. This book was released on 2021-06-19. Mathematics and Mechanics - The Interplay available in PDF, EPUB and Kindle. Mathematics plays an important role in mechanics and other human endeavours. Validating examples in this first volume include, for instance: the connection between the golden ratio (the “divine proportion" used by Phidias and many other artists and enshrined in Leonardo's Vitruvian Man, shown on the front cover), and the Fibonacci spiral (observable in botany, e.g., in the placement of sunflower seeds); is the coast of Tuscany infinitely long?; the equal-time free fall of a feather and a lead ball in a vacuum; a simple diagnostic for changing your car's shocks; the Kepler laws of the planets; the dynamics of the Sun-Earth-Moon system; the tides' mechanism; the laws of friction and a wheel rolling down a partially icy slope; and many more. The style is colloquial. The emphasis is on intuition - lengthy but intuitive proofs are preferred to simple non-intuitive ones. The mathematical/mechanical sophistication gradually increases, making the volume widely accessible. Intuition is not at the expense of rigor. Except for grammar-school material, every statement that is later used is rigorously proven. Guidelines that facilitate the reading of the book are presented. The interplay between mathematics and mechanics is presented within a historical context, to show that often mechanics stimulated mathematical developments - Newton comes to mind. Sometimes mathematics was introduced independently of its mechanics applications, such as the absolute calculus for Einstein's general theory of relativity. Bio-sketches of all the scientists encountered are included and show that many of them dealt with both mathematics and mechanics.
Trends in Applications of Mathematics to Mechanics
Trends in Applications of Mathematics to Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Trends in Applications of Mathematics to Mechanics write by Johannes F. Besseling. This book was released on 2012-12-06. Trends in Applications of Mathematics to Mechanics available in PDF, EPUB and Kindle. In many areas of mechanics the interplay between mathematics and physics is crucial for understanding not only underlying principles but also practical applications. This is particularly the case in hydrodynamics and elasticity. Over thirty articles in this volume discuss various aspects including perturbation methods and applications, instability, bifurcations and transition to chaos, multibody dynamics and control, mechanics and mathematics of non-classical materials, and new interactions of mathematics and mechanics. The book addresses scientists and engineers working in these areas including those interested in applied mathematical analysis.
A Mathematical Gift, I
A Mathematical Gift, I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Mathematical Gift, I write by Kenji Ueno. This book was released on 2003. A Mathematical Gift, I available in PDF, EPUB and Kindle. Three volumes originating from a series of lectures in mathematics given by professors of Kyoto University in Japan for high school students.
Second Year Calculus
Second Year Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Second Year Calculus write by David M. Bressoud. This book was released on 2012-12-06. Second Year Calculus available in PDF, EPUB and Kindle. Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book guides us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality. The development of this process is discussed from the modern viewpoint of differential forms. Using this concept, the student learns to compute orbits and rocket trajectories, model flows and force fields, and derive the laws of electricity and magnetism. These exercises and observations of mathematical symmetry enable the student to better understand the interaction of physics and mathematics.
The Mechanics and Thermodynamics of Continuous Media
The Mechanics and Thermodynamics of Continuous Media - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Mechanics and Thermodynamics of Continuous Media write by Miroslav Silhavy. This book was released on 2013-11-27. The Mechanics and Thermodynamics of Continuous Media available in PDF, EPUB and Kindle. From the reviews: "The book is excellent, and covers a very broad area (usually treated as separate topics) from a unified perspective. [...] It will be very useful for both mathematicians and physicists." EMS Newsletter
