What are hyperbolic functions?

Hyperbolic functions are mathematical functions that resemble trigonometric functions but are based on hyperbolas instead of circles. They include sine (sinh), cosine (cosh), and their related functions. These functions have applications in various fields, such as engineering, physics, and mathematics, particularly in concepts involving hyperbolic geometry and the modeling of waves and oscillations. For example, they are essential in describing the shape of a hanging cable in physics.

How do hyperbolic functions differ from trigonometric functions?

While both hyperbolic and trigonometric functions share similar properties and definitions, they differ in their geometric interpretations. Trigonometric functions are related to angles and circles, while hyperbolic functions are connected to hyperbolas. This difference leads to unique identities and characteristics, such as the relationship between hyperbolic sine and hyperbolic cosine, expressed in terms of exponential functions. Understanding these distinctions is crucial for applications in advanced mathematics, including calculus and differential equations.

What are configuration theorems in relation to hyperbolic functions?

Configuration theorems refer to the principles that inform how hyperbolic functions can represent relationships and properties within hyperbolic geometries. These theorems assert specific constructive relationships that can be established based on hyperbolic functions, ultimately leading to proofs or solutions in geometry. This knowledge is fundamental for mathematicians and scientists who work with non-Euclidean geometries or need to analyze shapes and figures that behave according to hyperbolic rules.

Can you explain equivalent and equidecomposable figures?

Equivalent figures are shapes that have the same area, while equidecomposable figures can be divided into a finite number of pieces that can be rearranged to form another figure. This concept is crucial in geometry and leads to deeper analysis involving hyperbolic functions, as these figures often arise in hyperbolic contexts. For instance, understanding these relationships can help solve problems in design and architecture where space and area play significant roles.

What is the practical application of hyperbolic functions?

Hyperbolic functions are widely used in various practical applications. For instance, they model the shape of a hanging cable, known as a catenary, in engineering and architecture. Additionally, they are fundamental in physics for solutions involving relativity and wave motion. In mathematics, they assist in solving differential equations and in understanding complex systems where hyperbolic geometry is involved. Their utility extends across disciplines, making them essential tools for professionals.

Why should I study hyperbolic functions?

Studying hyperbolic functions is essential for anyone interested in advanced mathematics, physics, or engineering. They provide valuable insights into how shapes and flows behave in hyperbolic space, which differs significantly from traditional Euclidean concepts. Furthermore, they lie at the core of multiple mathematical theories and applications, enabling professionals to analyze complex systems more effectively. Understanding these functions enriches your mathematical toolkit and enhances problem-solving skills.

Do hyperbolic functions have real-world examples?

Yes, hyperbolic functions have numerous real-world applications. For example, they are used in engineering to describe structures like bridges and cable-stayed buildings, where the shape of cables is modeled as catenary curves. Likewise, they play a role in calculations related to navigation, physics, and even in the design of certain types of machinery. Real-world scenarios often reveal the efficiency of utilizing hyperbolic functions for modeling natural phenomena and engineered systems.

What educational level is this book suitable for?

The book 'Hyperbolic Functions: with Configuration Theorems and Equivalent and Equidecomposable Figures' is suitable for readers who have a foundational understanding of calculus and algebra. It serves both undergraduate students pursuing mathematics or engineering degrees and professionals wanting to deepen their knowledge in geometry and functions. Its content can complement university-level courses and is a valuable resource for self-study in higher mathematics.

Are there visual aids in this book to support learning?

Yes, the illustrated edition of 'Hyperbolic Functions: with Configuration Theorems and Equivalent and Equidecomposable Figures' includes diagrams and visual aids to help clarify complex concepts. Visual representations are vital for understanding hyperbolic geometry, as they allow readers to grasp the behavior of these functions more intuitively. Such illustrations enhance comprehension and retention, making it easier to apply these concepts practically and theoretically.

¿Está Hyperbolic Functions: with Configuration Theorems disponible para comprar en línea en Costa Rica?

Sí, en Ubuy Costa Rica, este producto está disponible para que lo compre a un precio razonable.. El Hyperbolic Functions: with Configuration Theorems no está disponible localmente, pero puede confiar en nosotros con nuestros servicios de envío exprés.

¿Cuánto tiempo se tarda en obtener el producto después de realizar el pedido?

El tiempo de entrega de su producto pedido varía según lo que haya pedido y el método de envío que haya elegido.. El tiempo de entrega estimado se menciona durante el proceso de pago, así que no se preocupe mientras compra.

Ver el original

Hyperbolic Functions: with Configuration Theorems and Equivalent and Equidecomposable Figures (Dover Books on Mathematics)

This single-volume compilation of three books centers on Hyperbolic Functions, an introduction to the relationship between the hyperbolic sine, cosine, and tangent, and the geometric properties of the hyperbola.

Nº de artículo: 162326147

Hyperbolic Functions: with Configuration Theorems and Equivalent and Equidecomposable Figures (Dover Books on Mathematics)

Q: Where can I buy 'Hyperbolic Functions: with Configuration Theorems and Equivalent and Equidecomposable Figures (Dover Books on Mathematics)' in Costa Rica?

You can purchase 'Hyperbolic Functions: with Configuration Theorems and Equivalent and Equidecomposable Figures (Dover Books on Mathematics)' at Ubuy in Costa Rica. Ubuy offers a wide selection of books, including various mathematical texts, making it a convenient option for readers looking to expand their library with specialized materials.

88% of respondents would recommend this to a friend

Nº de artículo: 162326147

CRC 9686

Price Details

Excluding Shipping & Custom charges ( Shipping and custom charges will be calculated on checkout )

^{*All items will import from Estados Unidos}

Disponibilidad : En stock

Importado de la tienda USA

QTY:

Haz tu pedido ahora y recíbelo por ahí Monday, Octubre 26

Secured transaction

Our Top Logistics Partners

This single-volume compilation of three books centers on Hyperbolic Functions, an introduction to the relationship between the hyperbolic sine, cosine, and tangent, and the geometric properties of the hyperbola.

Garantía U-Care:

Ninguno

Selecciona un plan

Fast
Shipping

Free
Return^*

Secure Packaging

100% Original Products

PCI DSS Compliance

ISO 27001 Certified

What Stands Out

Comprehensive Coverage

This book extensively details hyperbolic functions, providing in-depth explanations and examples, making it ideal for students and professionals seeking a thorough understanding of the concepts.

Configuration Theorems

The inclusion of configuration theorems offers readers new insights into the relationships of figures, which is essential for advanced mathematical studies and applications in various fields.

Accessible Format

The Kindle edition allows users to easily access the content on multiple devices, enhancing convenience and promoting on-the-go learning, catering to modern educational needs.

Detalles de producto

Publisher	Dover Publications
Publication date	November 7, 2013
Edition	Dover Ed
Language	English
File size	9.2 MB
Screen Reader	Supported
Enhanced typesetting	Enabled
X-Ray	Not Enabled
Word Wise	Not Enabled
Print length	192 pages
ISBN-13	978-0486170053
Page Flip	Enabled
Part of series	Dover Books on Mathematics
Item Weight	0.5 lbs (230 grams)

Who Should Buy?

Mathematics Students
Ideal for students studying advanced mathematics, especially those focusing on calculus and geometry related to hyperbolic functions.
Teachers and Educators
Useful for educators designing curriculum or teaching materials on hyperbolic functions and configuration theorems.
Researchers in Geometry
Beneficial for researchers researching geometric configurations and properties of hyperbolic functions.

Casual Readers
Not suitable for casual readers without a background in mathematics or interest in detailed mathematical theories.

DESCRIPCIÓN DEL PRODUCTO

Hyperbolic Functions: with Configuration Theorems and Equivalent and Equidecomposable Figures (Dover Books on Mathematics)

¿Tienes alguna consulta? Chatea con nosotros

Preguntas y respuestas de los clientes

Pregunta: ¿Cómo comprar Hyperbolic Functions: with Configuration Theorems en línea desde Ubuy?

Respuesta: Es fácil comprar Hyperbolic Functions: with Configuration Theorems en línea desde Ubuy.. Solo tiene que buscar el producto, elegir su método de envío al pagar y recibirlo en su ubicación.
Pregunta: ¿Está Hyperbolic Functions: with Configuration Theorems disponible para comprar en línea en Costa Rica?

Respuesta: Sí, en Ubuy Costa Rica, este producto está disponible para que lo compre a un precio razonable.. El Hyperbolic Functions: with Configuration Theorems no está disponible localmente, pero puede confiar en nosotros con nuestros servicios de envío exprés.
Pregunta: ¿Cuánto tiempo se tarda en obtener el producto después de realizar el pedido?

Respuesta: El tiempo de entrega de su producto pedido varía según lo que haya pedido y el método de envío que haya elegido.. El tiempo de entrega estimado se menciona durante el proceso de pago, así que no se preocupe mientras compra.

Differential Equations Editorial Review

No se encontraron reseñas editoriales

Customer Reviews & Ratings

5.0

1 valoraciones de los clientes

5 estrella

100%
4 estrella

0%
3 estrella

0%
2 estrella

0%
1 estrella

0%

Revisar este producto

Comparte tus ideas con otros clientes

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.

CRC 9686

Haz tu pedido ahora y recíbelo por ahí Monday, Octubre 26

QTY:

Secured transaction

PCI DSS compliant and ISO 27001:2022 certified, with encrypted payments and full buyer protection on every order.

Our Top Logistics Partners

Fastest cross-border delivery

características y beneficios

Comprehensive resource on Hyperbolic Functions.
Includes an introduction to hyperbolic sine, cosine, and tangent.
Explores geometric properties of the hyperbola.
Contains theories on collinear points and concurrent lines.
Examines dissection and reassembly of polyhedrons.
A must-have for mathematics enthusiasts and students.

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.

Hyperbolic Functions: with Configuration Theorems and Equivalent and Equidecomposable Figures (Dover Books on Mathematics)

CRC 9686

Fast Shipping

Free Return*

Secure Packaging

100% Original Products

PCI DSS Compliance

ISO 27001 Certified

What Stands Out

Detalles de producto

Who Should Buy?

DESCRIPCIÓN DEL PRODUCTO

Preguntas y respuestas de los clientes

Differential Equations Editorial Review

Customer Reviews & Ratings

Revisar este producto

Product Price History

Información importante

CRC 9686

características y beneficios

Ubuy Assurance

Fast
Shipping

Free
Return^*