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Item #:
20675568
Mathematical Foundations of Elasticity (Dover Civil and Mechanical Engineering) Revised ed. Edition
Item #:
20675568
MYR 132
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This advanced-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis.
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What Stands Out
Comprehensive Coverage
Offers an in-depth exploration of elasticity theory, ensuring a thorough understanding for students and professionals in civil and mechanical engineering fields.
Revised Edition
Updated content reflecting current practices and theories in elasticity, enhancing its relevance for contemporary engineering applications.
Accessible Format
Published by Dover, known for making complex topics more approachable and affordable, providing excellent value for both academic and professional readers.
Product Details
| Item Weight | 1.2 lbs (540 grams) |
Who Should Buy?
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Engineering Students
Ideal for graduate engineering students seeking a solid foundation in elasticity and related mathematical concepts.
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Research Professionals
Beneficial for researchers in civil and mechanical engineering fields focusing on material behavior under stress.
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Educators
Useful for professors teaching advanced elasticity topics, providing comprehensive mathematical frameworks and examples.
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Beginners
Not suitable for beginners without prior knowledge of calculus or differential equations, as it may be overly complex.
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Casual Readers
Not aimed at casual readers seeking a general understanding of elasticity without deep mathematical rigor.
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Practitioners
May not serve professionals looking for practical applications over theoretical concepts, focusing instead on abstract mathematics.
Product Description
Mathematical Foundations of Elasticity (Dover Civil and Mechanical Engineering) Revised ed. Edition
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Customer Questions & Answers
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Question:
Who is this book intended for?
Answer: It is intended for mathematicians, engineers, and physicists. -
Question:
What prior knowledge is required to understand this book?
Answer: A solid background in advanced calculus and the basics of geometry and functional analysis is required. -
Question:
What topics does the book cover?
Answer: The book covers kinematics and dynamics of continuous media, elastic materials, linearization, variational principles, and bifurcation theory.
Civil & Environmental Editorial Review
**** "Mathematical Foundations of Elasticity" by Marsden and Hughes stands out as a rigorous and advanced text primarily tailored for readers with a strong mathematical background in areas like differential geometry and functional analysis. The book is deemed less accessible for practicing engineers or those looking for a practical approach to elasticity theory. Instead, it serves as a critical resource for individuals in theoretical mechanics, applied mathematics, or theoretical physics seeking to delve deep into the mathematical intricacies behind elasticity. The text is praised for its elegant presentation and clear definitions, a refreshing contrast to many other resources which lack clarity in mathematical formulation. It bridges the gap between mathematics and the elasticity concept, making it a recommended read for pure and applied mathematicians. However, Prospective readers must be aware of its steep learning curve; the material is challenging and necessitates a solid foundation in high-level mathematics, including concepts from topology and manifold theory. Readers have highlighted unique topics such as relativistic elasticity and bifurcation theory as engaging aspects of the text. Yet, the Consensus is that this book is not suited for novice students in engineering disciplines, especially those in North America, who are better served by practical guides and textbooks. Those willing to tackle its complexities will ultimately find a comprehensive and intellectually stimulating resource that significantly deepens their understanding of elasticity. **
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Pros
- Provides a mathematically rigorous treatment of elasticity theory.
- Clear definitions that enhance understanding of complex concepts.
- Suitable for pure and applied mathematicians with advanced knowledge.
- Covers unique and advanced topics within elasticity.
- Bridges the gap between elasticity theory and mathematical ideas effectively.
Cons
- Not suitable for practicing engineers or beginners in elasticity.
Product Price History
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MYR 132
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Features & Benefits
- Advanced study of mathematical foundations of elasticity.
- Utilizes modern differential geometry and functional analysis.
- Ideal for mathematicians, engineers, and physicists.
- Covers kinematics and dynamics of continuous media.
- Includes selected problems and a comprehensive bibliography.
- Prerequisites: advanced calculus and basic geometry.