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Artikelnr.:
162326147
Hyperbolic Functions: with Configuration Theorems and Equivalent and Equidecomposable Figures (Dover Books on Mathematics)
Artikelnr.:
162326147
ANG 33
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This single-volume compilation focuses on Hyperbolic Functions, Configuration Theorems, and Equivalent and Equidecomposable Figures that introduce important fundamental concepts of projective geometry.
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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.
Productdetails
- Single-volume compilation of three books focusing on Hyperbolic Functions
- Introduction to the relationship between hyperbolic sine, cosine, and tangent
- Development of hyperbolic functions presented alongside trigonometric functions for comparison
- Concluding chapter introducing natural logarithms and analytic expressions for hyperbolic functions
- Second book on Configuration Theorems requiring elementary background in geometry
- Final book discusses mathematical conditions of dissecting and reassembling polyhedra
| Publisher | Dover Publications |
| Publication date | March 15, 2007 |
| Edition | Illustrated |
| Language | English |
| Print length | 192 pages |
| ISBN-10 | 0486458865 |
| ISBN-13 | 978-0486458861 |
| Item Weight | 7.2 ounces (204.12 grams) |
| Dimensions | 8.52 x 0.39 x 6.71 inches (21.6 x 1 x 17 cm) |
| Part of series | Dover Books on Mathematics |
Voor wie is dit geschikt?
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Mathematics Students
Ideal for students studying advanced mathematics, especially those focusing on calculus and geometry related to hyperbolic functions.
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Teachers and Educators
Useful for educators designing curriculum or teaching materials on hyperbolic functions and configuration theorems.
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Researchers in Geometry
Beneficial for researchers researching geometric configurations and properties of hyperbolic functions.
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Casual Readers
Not suitable for casual readers without a background in mathematics or interest in detailed mathematical theories.
PRODUCTBESCHRIJVING
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Vragen en antwoorden van klanten
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vraag:
Do I need prior knowledge of geometry and trigonometry to understand this book?
antwoord: The book only requires elementary background knowledge of plane and solid geometry and parallel columns for comparison with trigonometric functions. -
vraag:
Is this book suitable for beginners?
antwoord: Yes, it is suitable for beginners with an interest in geometry and mathematics. -
vraag:
What is the significance of hyperbolic functions and projective geometry?
antwoord: Hyperbolic functions aid in solving complex problems involving geometric properties, while projective geometry is fundamental in graphic representation of geometric properties and patterns.
Differential Equations Editorial Review
**** "Hyperbolic Functions: with Configuration Theorems and Equivalent and Equidecomposable Figures" presents a thorough exploration of mathematical concepts centered on hyperbolic functions and geometric theories. Readers appreciate the book for its clarity and the quality of its electronic format, which is notably clean and easy to read, a testament to the publishers' efforts to avoid the pitfalls of poorly digitized versions of older texts. The book Consists of three main sections, catering to users with varied interests in mathematics. The first section delves into hyperbolic functions such as sinh, cosh, and tanh, using both elementary methods and complex numbers. While this may cater well to students seeking in-depth understanding, it appears to be too advanced or unappealing for non-mathematicians. The second section addresses Desargues and Pappus Pascal theorems but lacks substantial depth, offering little more than introductory material. This could leave more seasoned mathematicians seeking additional resources for deeper knowledge. However, the third section emerges as the highlight of the book, discussing equidecomposable figures in two and three dimensions. This segment is appreciated for its insightful explanations and engaging theories, particularly regarding congruence and volume computations. Readers suggest that this alone makes the book a worthy addition for those interested in elementary geometry. Overall, while the book has strengths in certain areas, especially for those inclined toward mathematical proofs and geometric exploration, its appeal may be limited for the general audience or those less mathematically inclined. **
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- High-quality electronic format with clean readability.
- In-depth exploration of hyperbolic functions.
- Informative and engaging third section on equidecomposable figures.
- Useful for students and those interested in elementary geometry.
Nadelen
- The second section lacks depth, offering limited insight into geometric theorems.
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- Compilation of three books
- Introduction to hyperbolic functions and relationship with geometric properties
- Includes configuration theorems and practical geometric problems
- Discusses mathematical conditions for reassembling polyhedrons
- Introduces fundamental concepts of projective geometry
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