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Item #:
85556397
Geometry of Complex Numbers Dover Books on Mathematics Revised ed. Edition
Item #:
85556397
ZAR 327
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This book should be in every library, and every expert in classical function theory should be familiar with this material.
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What Stands Out
Comprehensive Coverage
This revised edition offers a thorough exploration of complex number geometry, integrating theory with practical applications, ensuring readers gain a deep understanding of the subject.
Accessible Learning
The text is designed for both students and educators, presenting complex concepts in an engaging and easy-to-understand manner, making it an ideal resource for anyone interested in mathematics.
Quality Publishing
Dover Books is renowned for their scholarly publications, ensuring high-quality content that is both reliable and enriching, providing excellent value for readers seeking in-depth mathematical knowledge.
Product Details
| Item Weight | 1 lbs (450 grams) |
Who Should Buy?
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Mathematics Students
Ideal for undergraduate students studying complex analysis, providing foundational knowledge and geometric interpretations essential for advanced courses.
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Teachers and Educators
A valuable resource for educators looking to enhance their teaching methods with clear geometric representations of complex number concepts.
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Self-learners
Great for independent learners interested in mathematics, offering comprehensive explanations and exercises to master complex number geometry.
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Beginner Students
Not suitable for complete beginners, as the book requires some prior knowledge of complex numbers and mathematical principles.
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Casual Readers
This book is not designed for casual readers looking for light, entertaining content as it is highly technical.
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Advanced Researchers
Not suitable for advanced researchers, as it does not cover cutting-edge research or complex theories in modern mathematics.
Product Description
Geometry of Complex Numbers Dover Books on Mathematics Revised ed. Edition
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Geometry & Topology Editorial Review
**** The “Geometry of Complex Numbers” by Schwerdtfeger is a celebrated work that delves into the intricate interplay between geometry and complex numbers, exploring themes that include circles as 2x2 Hermitian matrices, Moebius transformations, and non-Euclidean geometry. Reviewers appreciate the author’s methodical approach, with many noting that a solid foundation in certain geometrical concepts—such as circles and projective geometry—can enhance the reader's comprehension and focus on the book's novel ideas. While the book serves as a comprehensive treatise on geometric principles, it tends to prioritize pure mathematical exposition over direct real-world applications. This focus on theory allows readers to develop a deeper understanding of the mathematics involved but may leave some wanting more practical connections. The exercises presented are cited as intriguing and beneficial for reinforcing the material covered. Schwerdtfeger’s work is described as accessible even to non-math students, with a pedagogical clarity that guides readers step-by-step through complex concepts. Reviewers express that deeper insights and self-discovery are likely outcomes of engaging with the text, suggesting that it invites exploration and reflection. Overall, this revised edition remains relevant for late undergraduate or beginning graduate students seeking depth in complex function theory and related geometry. While some users recommend supplementing this reading with materials covering power series, the book’s captivating narrative and rich graphical representations make it a worthy addition to any math enthusiast’s library. **
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Pros
- Thorough and methodical instructional style
- Engaging topic coverage, including circles and Moebius transformations
- Clear explanations that facilitate understanding for non-math students
- Thought-provoking exercises enhancing comprehension
- Rich exploration of geometric and theoretical concepts
Cons
- Insufficient treatment of real-world applications
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ZAR 327
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Features & Benefits
- A must-have for every academic library.
- Widely praised since 1962 for its clarity and depth.
- Focuses on the intersection of geometry, analysis, and algebra.
- Carefully detailed exposition suitable for advanced undergraduates.
- Covers key topics like circles, Moebius transformations, and non-Euclidean geometries.
- Includes new appendices and a supplementary bibliography in the Dover edition.
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