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64247434
Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences)
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Item #:
64247434
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Introduces basic examples and tools for solving partial differential equations, applied to a variety of areas like continuum mechanics, electromagnetism, and complex analysis.
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What Stands Out
Comprehensive Coverage
This edition offers an extensive exploration of basic theory in partial differential equations, making it an essential resource for both students and professionals seeking an in-depth understanding of the subject.
Updated Examples
Includes revised examples and problems that reflect contemporary applications, enhancing learning and ensuring relevance in today's mathematical landscape for academic and practical uses.
Clear Explanations
Provides lucid explanations and step-by-step approaches, making complex concepts accessible and fostering a deeper grasp of partial differential equations for learners at all levels.
Product Details
- Introduces basic examples from continuum mechanics, electromagnetism, and complex analysis
- Develops tools for solving PDEs including Fourier analysis, distribution theory, and Sobolev spaces
- Covers the treatment of basic problems in linear PDE such as the Laplace equation, heat equation, and wave equation
- Applies tools to more general elliptic, parabolic, and hyperbolic equations
- Targeted at graduate students and professional mathematicians interested in PDEs, mathematical physics, and related areas
| Publisher | Springer |
| Publication date | December 25, 2012 |
| Edition | 2nd |
| Language | English |
| Print length | 680 pages |
| ISBN-10 | 1461427266 |
| ISBN-13 | 978-1461427261 |
| Item Weight | 2.1 pounds (950 grams) |
| Dimensions | 6.1 x 1.54 x 9.25 inches (15.5 x 3.9 x 23.5 cm) |
| Part of series | Applied Mathematical Sciences |
Who Should Buy?
-
Graduate Students
Ideal for graduate students specializing in mathematics, physics, or engineering who need a strong foundation in PDEs.
-
Researchers
Beneficial for researchers looking to deepen their understanding of the basic theory of partial differential equations.
-
Instructors
Useful for educators seeking comprehensive resource material to teach courses on partial differential equations.
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Beginners
Not suitable for beginners without a prior background in advanced calculus and ordinary differential equations.
Product Description
Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences)
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Customer Questions & Answers
-
Question:
What are partial differential equations?
Answer: Partial Differential Equations (PDEs) are equations that involve functions of several variables and their partial derivatives. They play a crucial role in various fields such as physics, engineering, and finance as they describe phenomena such as heat transfer, fluid dynamics, and wave propagation. Understanding PDEs helps in modeling and solving real-world problems, making them essential for researchers and professionals alike. -
Question:
What is the significance of the 2nd edition of Partial Differential Equations I?
Answer: The 2nd edition of Partial Differential Equations I incorporates updates and enhancements that reflect recent advancements in the field. Readers can expect improved explanations, additional examples, and revised exercises that can aid in grasping complex concepts. This edition is tailored to engage students and professionals by providing a robust foundation in basic theory and application methodologies. -
Question:
Who is the target audience for this book?
Answer: This book targets graduate students, researchers, and professionals who seek a comprehensive understanding of the basic theory of partial differential equations. It serves as an educational resource primarily in mathematics and applied sciences, making it valuable for those involved in fields such as engineering, physics, and computational mathematics. -
Question:
What topics are covered in Partial Differential Equations I?
Answer: Partial Differential Equations I covers a range of fundamental topics including method of characteristics, boundary value problems, initial value problems, and solutions for different types of PDEs. Each topic is presented with clarity and offers theoretical insight as well as practical applications, making it suitable for both academic study and professional use. -
Question:
How can this book help in solving real-world problems?
Answer: This book provides the theoretical foundation and procedural techniques necessary for solving real-world problems modeled by PDEs. For instance, engineers can apply the concepts learned to analyze heat conduction in materials or design structures under various environmental conditions. The book includes practical examples that illustrate how theoretical knowledge translates into applicable solutions. -
Question:
Is this book suitable for self-study?
Answer: Yes, Partial Differential Equations I is designed to be accessible for self-study. The clear explanations, step-by-step solutions, and practice problems enhance the learning experience for individuals studying independently. It also serves as an excellent reference guide for professionals and researchers looking to deepen their knowledge. -
Question:
What are the key features of the Applied Mathematical Sciences series?
Answer: The Applied Mathematical Sciences series features a collection of texts that focus on the practical application of mathematical theories. The series emphasizes a balance between theoretical principles and real-world applications, making it a renowned resource for those who want to apply mathematical concepts to solve practical problems across various disciplines. -
Question:
What prerequisites are necessary for reading this book?
Answer: Readers should have a foundational understanding of calculus and ordinary differential equations to fully grasp the concepts presented in Partial Differential Equations I. Familiarity with linear algebra may also be beneficial, as many techniques in PDEs rely on vector spaces and matrix operations. -
Question:
Does this book include examples and exercises?
Answer: Absolutely! Partial Differential Equations I is rich with examples and exercises that facilitate practice and reinforce understanding. Each chapter includes a variety of problems that challenge readers to apply concepts learned and develop problem-solving skills, critical for mastering the content. -
Question:
Where can I buy Partial Differential Equations I: Basic Theory Applied Mathematical Sciences, 115 2nd ed. 2011 Edition in Kiribati?
Answer: You can buy Partial Differential Equations I: Basic Theory Applied Mathematical Sciences, 115 2nd ed. 2011 Edition on Ubuy. This platform offers a user-friendly experience and allows you to explore various purchasing options to acquire this essential textbook for your studies or professional needs.
Differential Equations Editorial Review
Partial Differential Equations I: Basic Theory is a comprehensive book that offers a thorough introduction to the basic concepts of partial differential equations. The book provides clear explanations and examples, making it suitable for both beginners and advanced learners. It covers the fundamental theory as well as practical applications, making it a valuable resource for students, researchers, and professionals.
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Pros
- Comprehensive coverage of basic theory
- Clear explanations and examples
- Suitable for both beginners and advanced learners
- Includes practical applications
Cons
- May be too advanced for absolute beginners
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Features & Benefits
- First of three volumes on partial differential equations
- Tools introduced include Fourier analysis, distribution theory, and Sobolev spaces
- Focus on basic problems in linear PDE including Laplace, heat, and wave equations
- Ideal for graduate students in mathematics and professional mathematicians
- Targeted at those interested in PDEs, mathematical physics, differential geometry, and more
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