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Item #:
232053909
Modern Geometry ― Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields: 93 (Graduate Texts in Mathematics,
87% of respondents would recommend this to a friend
Item #:
232053909
SAR 285
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This first volume is a vital introduction to modern geometry, emphasizing its applications in mathematics and theoretical physics.
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What Stands Out
Comprehensive Coverage
This textbook offers an in-depth exploration of modern geometry, covering surfaces, transformation groups, and fields, providing a foundational understanding that is essential for graduate-level study.
Advanced Methods
It incorporates advanced methods and applications that prepare students for real-world mathematical challenges, distinguishing it from typical geometry texts by emphasizing practical problem-solving techniques.
Scholarly Resource
As part of the Graduate Texts in Mathematics series, it is a recognized scholarly resource, ensuring quality and reliability, making it a valuable asset for both students and professionals in the mathematics community.
Product Details
- This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This material is explained in as simple and concrete a language as possible, in a terminology acceptable to physicists. The text for the second edition has been substantially revised.
| Publisher | Springer |
| Publication date | 11 Nov. 1991 |
| Edition | 2nd ed. 1992 |
| Language | English |
| Print length | 486 pages |
| ISBN-10 | 0387976639 |
| ISBN-13 | 978-0387976631 |
| Item weight | 896 g |
| Dimensions | 15.6 x 2.69 x 23.39 cm |
Who Should Buy?
-
Graduate Students
Ideal for graduate students focusing on advanced geometry, providing rigorous content and thorough explanations for deep understanding.
-
Mathematicians
Useful for mathematicians specializing in geometry and topology, offering detailed methods and applications relevant to their research.
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Researchers
Supports researchers needing comprehensive insights on surfaces, transformation groups, and algebraic structures necessary for advanced work.
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Casual Learners
Not suitable for casual learners or beginners due to its advanced level and potentially overwhelming mathematical concepts.
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Mathematical Analysis Editorial Review
Modern Geometry: Methods And Applications Part I The Geometry Of Surfaces, Transformation Groups, And Fields is an essential graduate-level text published by Springer, providing a comprehensive exploration into advanced geometric concepts over 486 pages. It delves into the intricacies of surfaces, transformation groups, and fields, making it a valuable resource for postgraduate students and researchers. The book, printed in English and released in its second edition in 1992, is well-structured to enhance understanding through its detailed explanations and numerous applications. Readers have noted its clarity and depth, making challenging topics more accessible for those serious about geometry.
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Pros
- In-depth exploration of geometric concepts
- Well-structured and easy to understand
- Comprehensive for graduate-level studies
- Includes numerous applications
- Second edition enhances the content
Cons
- Might be too advanced for beginners
Product Price History
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Features & Benefits
- Comprehensive introduction to modern geometry.
- Covers applications in mathematics and theoretical physics.
- Explains complex topics like tensors and differential calculus simply.
- Includes calculus of variations in one and several dimensions.
- Substantially revised text for enhanced clarity in the second edition.
- Ideal for both mathematicians and physicists.
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