Non-standard, or non-archimedes, analysis

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The book “Non-standard, or non-archimedes, analysis” by Vladimir Alexandrovich Ouspensky is a fascinating and deep immersion in the world of mathematical analysis, which will not leave indifferent any lover of mathematics, nor a professional who seeks to expand his horizons. Ouspensky, known for his unconventional approaches to classical topics, offers readers a unique perspective on analysis that goes beyond traditional representations. In this book, the author explores the concept of non-archimedic numbers and their application in various fields of mathematics. Ouspensky masterfully combines theory with practical examples, which makes the material accessible and understandable even for those who are not professional mathematicians. It shows how non-standard analysis can be used to solve problems that seem impossible within the framework of the classical approach. The reader plunges into a world where the usual rules and axioms are questioned, opening up new horizons for creativity and innovation. The book will be of interest to a wide range of readers: from undergraduate and graduate students studying mathematics, to teachers and researchers working in the field of analysis. If you are passionate about mathematics, physics or engineering, then “Non-standard, or non-archimedes, analysis” will be a real find for you. It will not only enrich your knowledge, but also inspire new ideas and experiments in your scientific activity. The topics raised in the book concern not only mathematical analysis, but also philosophical issues related to the understanding of infinity and continuity. Ouspensky raises important questions about how we perceive numbers and how this perception affects our ability to solve complex problems. He also examines the application of non-archimedic numbers in other sciences, such as physics and economics, making his work particularly relevant in today's world, where interdisciplinary approaches are becoming increasingly in demand. The style of Ouspensky is distinguished by clarity and logical presentation, which allows the reader to easily follow his thoughts. He skillfully uses metaphors and real-life examples to make complex concepts more understandable. His previous works, such as "Mathematics for Humanities" and "Logic and Mathematics", have already won recognition for the accessibility and originality of the approach. In "Non-standard analysis" the author continues this tradition, offering readers not only knowledge, but also the pleasure of the learning process. If you’re looking for a book that combines deep theory and practical application, “Non-standard, or non-archimedes, analysis” is exactly what you need. It will be a great addition to your library and will help you look at mathematics from a new perspective. Do not miss the opportunity to discover the world of non-standard analysis and its limitless possibilities!
LF/536555446/R
Data sheet
- Name of the Author
- Успенский В.А.
- Language
- Russian
- Series
- МК-1983-08
- Release date
- 1983