Non-Euclidean Geometry (Classic Reprint): A Critical and Historical Study of Its Development: A Critical and Historical Study of Its Development (Classic Reprint) - Softcover

Name: Non-Euclidean Geometry (Classic Reprint): A Critical and Historical Study of Its Development: A Critical and Historical Study of Its Development (Classic Reprint)
Author: Roberto Bonola
ISBN: 9781440072024

Roberto Bonola

9781440072024: Non-Euclidean Geometry (Classic Reprint): A Critical and Historical Study of Its Development: A Critical and Historical Study of Its Development (Classic Reprint)

Softcover

ISBN 10: 1440072027 ISBN 13: 9781440072024

Publisher: Forgotten Books, 2018

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Discover the legends behind non-Euclidean geometry and how a bold idea reshaped math.

This book traces the rise of a new geometric view—from Bolyai and Lobatschewsky to Beltrami and Beltrami’s successors—explaining how parallelism, space, and shapes were reimagined beyond Euclid. The work surveys the early foundations, the spread of the ideas across Europe, and the later development into advanced topics. It shows how these ideas challenged long-held assumptions and opened new paths in differential and projective geometry, without losing sight of the core questions that sparked the debate.

Clear narrative of key moments and pivotal figures in the birth of non-Euclidean geometry
Accessible explanations of why the parallel postulate mattered and how it was questioned
Connections between historical developments and later branches like differential and projective geometry
Context for how these ideas influenced broader mathematics and philosophy

Ideal for readers curious about the history, foundations, and evolution of geometry and its modern forms.

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Publisher: Forgotten Books
Publication date: 2018
Language: English
ISBN 10: 1440072027
ISBN 13: 9781440072024
Binding: Paperback
Number of pages: 282

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Non-Euclidean Geometry: A Critical and Historical Study of Its Development

Roberto Bonola

Published by Forgotten Books, 2018

ISBN 10: 1440072027 ISBN 13: 9781440072024

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Seller: Forgotten Books, London, United Kingdom

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Paperback. Condition: New. Print on Demand. Embark on a captivating journey through the historical evolution of geometry, delving into the longstanding quest to prove Euclid's Fifth Postulate. This book meticulously traces the endeavors of mathematicians from ancient Greece to the early 20th century, as they grappled with the complexities of parallel lines and the foundations of geometry. The author's insightful analysis unveils the intricate web of partial errors and groundbreaking discoveries that paved the way for a broader understanding of geometric truths. Witness the gradual refinement of obscure concepts that once hindered progress, and gain a profound appreciation for the intellectual odyssey that led to the emergence of Non-Euclidean Geometry. This exploration extends beyond a mere chronicle of mathematical advancements, venturing into the realm of philosophical inquiry. By examining the historical and philosophical critiques of scientific principles, this book illuminates the profound interconnectedness of geometry, statics, and the broader pursuit of knowledge. Ultimately, it underscores the enduring power of human curiosity and the transformative impact of questioning established axioms on our understanding of the universe. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781440072024_0

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