Generalizations of numbers

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The book “Generalization of Numbers” by Lev Pontryagin is not just a scientific work, but a real find for everyone who is interested in mathematics and its philosophical aspects. Pontryagin, an outstanding Soviet mathematician known for his work in topology and functional analysis, in this book offers the reader a unique view of the world of numbers, their properties and generalizations that go beyond traditional understanding. In Generalizations of Numbers, the author explores the concept of numbers from different perspectives, plunging the reader into the fascinating world of mathematical abstractions. It considers not only familiar integers and fractional numbers, but also more complex structures such as complex and infinite numbers. Pontryagin masterfully explains how these generalizations can be used in various fields of science and technology, which makes the book relevant not only for mathematicians, but also for physicists, engineers and even philosophers. This book will be of interest to both undergraduate and graduate students, as well as teachers of mathematics, as well as anyone who wants to deepen their knowledge in this area. If you are passionate about mathematics and want to understand how numbers can be expanded and generalized, then Generalizations of Numbers will become a real treasure for you. Readers interested in works such as Kurt Gdel's Mathematical Logic or H.'s Topology The Bourbaki will find in Pontryagin's book something special that will complement their knowledge and expand the horizons of understanding. The topics raised in the book cover not only mathematical concepts, but also philosophical reflections on the nature of numbers and their role in our perception of the world. Pontryagin asks important questions: what is a number? How does it relate to reality? Why are generalizations of numbers important for modern scientific thinking? These reflections make the book not only a textbook, but also a source of inspiration for reflections on deeper aspects of mathematics. Pontryagin's style is clear and logical, which allows the reader to easily follow his thoughts. It skillfully combines rigorous mathematical calculations with available examples and illustrations, making complex topics more understandable. This quality makes “Number Generalizations” not only useful educational material, but also an exciting read for anyone who wants to immerse themselves in the world of numbers. If you are looking for books that will help you better understand mathematics and its generalizations, pay attention to Pontryagin's Generalization of Numbers. This work will be a great addition to your library, as well as a source of knowledge and inspiration for future research. Do not miss the opportunity to discover new horizons in the world of numbers and their generalizations - the book of Lev Pontryagin is waiting for you!
LF/663375205/R
Data sheet
- Name of the Author
- Понтрягин Л.С.
- Language
- Russian
- Series
- Библиотечка Квант 054
- Release date
- 1986