- Página de inicio /
- Libros /
- Science & Math /
- Mathematics /
- Geometry & Topology /
- Topology /
- Euler's Gem: The Polyhedron Formula and the B...
Euler's Gem: The Polyhedron Formula and the Birth of Topology
89% of respondents would recommend this to a friend
USD 14
Price Details
Excluding Shipping & Custom charges ( Shipping and custom charges will be calculated on checkout )
*All items will import from Estados Unidos
QTY:
Ubuy works hard to protect your security and privacy. Our advanced payment security system ensures confidentiality by encrypting your information during transmission using AES (Advanced Encryption Standards) and SSL (Secure Socket Layer) protocols. Your payment details are 100% secure as we do not share your payment details with third party sellers.
Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology.
Fast
Shipping
Free
Return*
Secure Packaging
100% Original Products
PCI DSS Compliance
ISO 27001 Certified
What Stands Out
Detalles de producto
- Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler's formula. Using wonderful examples and numerous illustrations, Richeson presents the formula's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast.
| Publisher | Princeton University Press |
| Publication date | April 15, 2012 |
| Edition | Edition Unstated |
| Language | English |
| Print length | 336 pages |
| ISBN-10 | 0691154570 |
| ISBN-13 | 978-0691154572 |
| Item Weight | 1.19 pounds (540 grams) |
| Dimensions | 6.25 x 1 x 9.25 inches (15.9 x 2.5 x 23.5 cm) |
| Part of series | Princeton Science Library |
Who Should Buy?
-
Math Enthusiasts
Individuals who love mathematics and are eager to explore the foundations of topology and geometry.
-
Students of Mathematics
Undergraduate students studying mathematics or related fields who need deeper insight into topology and Euler's contributions.
-
Educators
Teachers looking for engaging materials to explain complex mathematical concepts and their historical significance in a classroom.
-
Casual Readers
If you're looking for light reading or general interest topics, this book may feel too specialized and dense.
DESCRIPCIÓN DEL PRODUCTO
Preguntas y respuestas de los clientes
-
Pregunta:
What is 'Euler's Gem: The Polyhedron Formula and the Birth of Topology' about?
Respuesta: 'Euler's Gem' explores the groundbreaking contributions of Leonhard Euler in the field of topology and geometry. This work delves into the famous Euler's polyhedron formula, V - E + F = 2, which relates the vertices, edges, and faces of polyhedra. The book is essential for understanding how these concepts paved the way for modern topology, revealing the intricate relationships between shapes in higher-dimensional spaces. Readers will encounter a blend of mathematical concepts and historical context, making it suitable for both enthusiasts and scholars interested in mathematics and its evolution. -
Pregunta:
Who should read 'Euler's Gem'?
Respuesta: 'Euler's Gem' is ideal for anyone with an interest in mathematics, from students to seasoned professionals. It's particularly beneficial for mathematicians, educators, and those in fields like computer science or architecture, where geometric principles are applicable. The book presents complex concepts in an accessible way, which can inspire learners looking to deepen their understanding of topology. It serves as a resource for developing critical thinking and problem-solving skills using historical perspectives on mathematical challenges. -
Pregunta:
What can I expect from the writing style of 'Euler's Gem'?
Respuesta: 'Euler's Gem' is written in an engaging and accessible style that balances technical rigor with a narrative approach. The author, Robin Whitty, introduces complex mathematical concepts in a way that is understandable for readers with varying levels of expertise. The book includes illustrations and real-life applications of topology, making the content relatable and interesting. Expect a journey through the history of mathematics, combining storytelling with scholarly insights that resonate with both casual readers and academics alike. -
Pregunta:
Does 'Euler's Gem' contain practical applications of topology?
Respuesta: 'Euler's Gem' includes discussions about practical applications of topology in various areas such as computer graphics, networking, and robotics. By exploring how the theories developed by Euler influence contemporary technology and mathematical modeling, readers gain an appreciation for the relevance of topology in real-world scenarios. For instance, understanding geometric structures can aid in optimizing algorithms for data processing and visual representation. This connection to modern applications makes the book not just a mathematical text but also a practical guide for aspiring engineers and scientists. -
Pregunta:
Is 'Euler's Gem' suitable for beginners in mathematics?
Respuesta: 'Euler's Gem' is well-suited for beginners who have a basic understanding of mathematical concepts. The author takes care to explain key terms and theories without overwhelming the reader. Those new to topology will find the book presents ideas step by step, gradually building complexity. Additionally, the historical context provided aids in grasping why certain concepts are significant. This makes it a valuable starting point for anyone looking to delve into the world of topology and its applications in a straightforward manner. -
Pregunta:
How does 'Euler's Gem' link history and mathematics?
Respuesta: 'Euler's Gem' effectively intertwines historical narratives with mathematical exploration, showcasing how Euler's discoveries emerged from the context of his time. The book chronicles significant milestones in the evolution of topology, illustrating how past challenges and inquiries have led to contemporary mathematical practices. By linking historical figures and their contributions with mathematical theories, readers gain insight into the development of mathematical thought. This approach enriches the learning experience, allowing readers to appreciate the narrative of mathematics as a discipline shaped by human inquiry and creativity. -
Pregunta:
Can 'Euler's Gem' be used as a reference book?
Respuesta: 'Euler's Gem' serves as an excellent reference for those studying the principles of topology and geometry. Its structured chapters allow readers to easily locate specific topics, making it a valuable resource for researchers and students alike. With comprehensive explanations of Euler's polyhedron formula and its implications, the book provides a foundational understanding that can be useful for further academic pursuits or professional applications. Additionally, the inclusion of exercises encourages readers to engage with the material, reinforcing their knowledge of the concepts discussed. -
Pregunta:
What types of illustrations are included in 'Euler's Gem'?
Respuesta: 'Euler's Gem' features numerous illustrations that enhance understanding of geometric concepts. These visuals include diagrams of polyhedra, graphical representations of topological transformations, and historical images related to Euler's work. The illustrations complement the text and aid in visualizing complex ideas, making it easier for readers to grasp the relationships between different geometric forms. For students and visual learners, these graphics play a crucial role in reinforcing the theoretical aspects discussed in the book, bridging the gap between abstract mathematics and tangible understanding. -
Pregunta:
Are there any other books similar to 'Euler's Gem'?
Respuesta: If you enjoy 'Euler's Gem,' you may also like 'The Knot Book' by Colin Adams, which delves into the mathematics of knots and their topological significance. Another recommended read is 'Topology from the Differentiable Viewpoint' by John Milnor, providing a more advanced take on topology concepts. For historical context in mathematics, 'Fermat's Enigma' by Simon Singh offers insight into the journey of mathematical discoveries. Each of these works presents unique perspectives on mathematical principles, encouraging further exploration in this fascinating field. -
Pregunta:
Where can I buy 'Euler's Gem: The Polyhedron Formula and the Birth of Topology' in El Salvador?
Respuesta: You can purchase 'Euler's Gem: The Polyhedron Formula and the Birth of Topology' through Ubuy, which offers a wide selection of books including this title. Ubuy ensures a convenient shopping experience, allowing you to explore various purchasing options. With user-friendly navigation and secure transactions, Ubuy is a recommended choice for acquiring this insightful literature. Whether you're seeking it for personal interest or academic study, you'll find this title easily available at Ubuy.
Topology Editorial Review
Euler's Gem: The Polyhedron Formula and the Birth of Topology takes readers on an enlightening journey through the world of mathematics, perfectly illustrating how Euler's polyhedron formula, V - E + F = 2, connects diverse areas like graph theory and knot theory. Richeson presents the history and intrigue of topology in a manner that engages both seasoned mathematicians and curious newcomers alike. The book is particularly commendable for high school students, aiming to ignite their passion for mathematics by revealing the interconnectedness of different mathematical fields, historical narratives of notable mathematicians, and the beauty found within mathematical proofs. Readers express a new appreciation for the depth of Euler's insights, and while some may wish for problem sets to enhance their understanding, the book effectively cultivates wonder about the subject.
Customer Reviews & Ratings
-
5 estrella
69%
-
4 estrella
21%
-
3 estrella
7%
-
2 estrella
2%
-
1 estrella
1%
Revisar este producto
Comparte tus ideas con otros clientes
ventajas
- Engaging and clear mathematical exposition
- Rich historical context of significant mathematicians
- Successfully links various mathematical disciplines
- Suitable for high school students eager for math
- Ignites passion for topology and its applications
Contras
- Lacks exercises or puzzles for further understanding
Platform Trust & Buyer Confidence
“Great products and very good service: very easy and very fast international delivery.”
“Wonderful online shopping experience, smooth transaction from the start. Payment method works conveniently and delivery is unexpectedly fast and reliable. You go the extra mile for service. What makes this even more amazing, you deliver to Namibia. I will remain a happy Ubuy customer and will increase my purchases for sure! Thank you!”
“Very easy to find the products what you need, and so fast delivery, that’s why I highly recommended to others costumers to used ubuy.”
“I received exactly what I ordered I was skeptical about your site because that was my first time to order. But the order came timely and neatly packaged. I was not disappointed. Thank you.”
“Easy to find and order what you want on the website. Delivery is quick to the UK”
Product Price History
Información importante
- Limitaciones: Para los productos enviados al extranjero, ten en cuenta que cualquier garantía del fabricante puede no ser válida; las opciones de servicio del fabricante pueden no estar disponibles; los manuales del producto, las instrucciones y las advertencias de seguridad pueden no estar en los idiomas del país de destino; los productos (y los materiales que los acompañan) pueden no estar diseñados de acuerdo con las normas, especificaciones y requisitos de etiquetado del país de destino; y los productos pueden no ajustarse al voltaje del país de destino y a otras normas eléctricas (lo que requiere el uso de un adaptador o convertidor, si procede). El destinatario es responsable de asegurarse de que el producto puede ser importado legalmente al país de destino. Cuando hagas un pedido a Ubuy o a sus filiales, el destinatario es el importador registrado y debe cumplir todas las leyes y normativas del país de destino.
- No todos los productos que aparecen en Ubuy están a la venta, ya que Ubuy es un motor de búsqueda a nivel mundial. Los productos están sujetos a las normas de exportación/comercio.
USD 14
Haz tu pedido ahora y recíbelo por ahí Viernes, Octubre 23
This item is not restrict in my country.(Please click on above link if this item is not restrict in your country, So our team will review and allow.)
QTY:
PCI DSS compliant and ISO 27001:2022 certified, with encrypted payments and full buyer protection on every order.
características y beneficios
- Explore Euler's legendary polyhedron formula.
- Discover its significance in the field of topology.
- Learn about historical mathematicians who contributed to its understanding.
- Enjoy rich illustrations and engaging examples throughout the book.
- Gain insights into the formula's diverse applications across various shapes.
- Perfect for anyone interested in ancient and modern mathematical discoveries.
Ubuy Assurance
Experience worry-free shopping with 100% original products, PCI DSS-compliant payment security, ISO 27001-certified data protection, the fastest cross-border delivery, free returns *, and secure packaging on every order.
