All the formulas of the world: How mathematics explains the laws of nature

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Galileo Galilei said: “The book of nature is written in the language of mathematics.” Almost four centuries later, we continue to be amazed at how mathematical methods are perfectly suited to describe our world. Even more amazing are the natural science discoveries made on the basis of mathematical analysis of equations. The creation of any complex structure—from an ingenious road junction to a quantum computer—involves mathematical calculations. To fully understand the effects of gravity or quantum phenomena, we also cannot do without mathematics. But it seems so complicated and confusing! How to stop being afraid of formulas and love mathematics? Why is it so effective in the natural sciences? Is there a limit to this, or, on the contrary, for a deeper understanding of nature will it be necessary to create mathematical structures that no longer fit into the human head? All these issues are addressed on the pages of the book, and their artistic interpretation is presented in a series of drawings by the artist Rostan Tavasiev. For many of them it is impossible to find definitive unambiguous answers. But we continue to discuss them and try to understand how this world works. To do this, it will be necessary to overcome the division into “two cultures”: “humanists” and “naturalists”. Let's try to take one more step in this direction. Quotes: Looking retrospectively at mankind's various attempts to comprehend the essence of things, we can hardly imagine that any alternative to the mathematical description of physical laws is possible. Moreover, for us now their very understanding means, in essence, the construction of a quantitative model that allows us to successfully describe observational and experimental data, as well as predict the outcomes of future experiments. This cannot be done without formulas. Mathematical methods applied to natural phenomena are a new language for describing and discussing nature, making it possible to identify and understand previously unknown properties and processes. In addition, this language can quickly develop and improve. From the point of view of a physicist, mathematics looks like a set of well-ordered and reliable methods interconnected with each other, allowing one to study the relationships between physical parameters and quantities. Why read: A story about the importance of mathematics in the natural sciences without formulas. Illustrations by a contemporary artist, which are an independent artistic project. The presence of applications, where already in the language of formulas (but at a level accessible to a good high school student of physics and mathematics school) it is shown how mathematics works in astrophysics. For whom The main part of the book is intended for a humanist who thinks that formulas are “not his thing” but who would be interested in trying to understand why they can be used so effectively in physics and other sciences.

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Barcode: 9785001391692 SKU: 70131417 Category:
Publication language: Russian

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