Title
Introduction To Partial Differential Equations With Applications (Dover Books On Mathematics),Used
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This Book Has Been Widely Acclaimed For Its Clear, Cogent Presentation Of The Theory Of Partial Differential Equations, And The Incisive Application Of Its Principal Topics To Commonly Encountered Problems In The Physical Sciences And Engineering. It Was Developed And Tested At Purdue University Over A Period Of Five Years In Classes For Advanced Undergraduate And Beginning Graduate Students In Mathematics, Engineering And The Physical Sciences.The Book Begins With A Short Review Of Calculus And Ordinary Differential Equations, Then Moves On To Explore Integral Curves And Surfaces Of Vector Fields, Quasilinear And Linear Equations Of First Order, Series Solutions And The Cauchy Kovalevsky Theorem. It Then Delves Into Linear Partial Differential Equations, Examines The Laplace, Wave And Heat Equations, And Concludes With A Brief Treatment Of Hyperbolic Systems Of Equations.Among The Most Important Features Of The Text Are The Challenging Problems At The End Of Each Section Which Require A Wide Variety Of Responses From Students, From Providing Details Of The Derivation Of An Item Presented To Solving Specific Problems Associated With Partial Differential Equations. Requiring Only A Modest Mathematical Background, The Text Will Be Indispensable To Those Who Need To Use Partial Differential Equations In Solving Physical Problems. It Will Provide As Well The Mathematical Fundamentals For Those Who Intend To Pursue The Study Of More Advanced Topics, Including Modern Theory.
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- Q: How many pages does this book have? A: The book has four hundred thirty-two pages. This comprehensive page count provides ample content for understanding partial differential equations.
- Q: What is the binding type of this book? A: This book is paperback bound. Paperback bindings are lightweight and flexible, making them easy to handle and read.
- Q: What are the dimensions of this book? A: The book measures five point five one inches in length, zero point seven five inches in width, and eight point five inches in height. These dimensions make it a convenient size for students and professionals alike.
- Q: What topics are covered in this book? A: The book covers various topics including integral curves, linear partial differential equations, and the Laplace equation. These subjects are essential for applications in engineering and the physical sciences.
- Q: What level of mathematics knowledge is required to understand this book? A: A modest background in mathematics is required. The text is designed for advanced undergraduate and beginning graduate students, making it accessible yet challenging.
- Q: How do I use this book for studying? A: You can use this book by reading the chapters sequentially and attempting the end-of-section problems. Engaging with the exercises will deepen your understanding of the material.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for beginners with a basic understanding of calculus and ordinary differential equations. It builds foundational knowledge before advancing to complex topics.
- Q: Can this book be used for self-study? A: Yes, it is an excellent resource for self-study. The clear explanations and problem sets allow for effective independent learning.
- Q: What kind of problems can I expect at the end of each section? A: You can expect a wide variety of problems that challenge your understanding and application of the theory presented. These include derivations and specific problem-solving tasks.
- Q: How should I care for this book? A: To care for this book, keep it in a dry and cool place, avoiding exposure to extreme temperatures. Handling it gently will also prolong its lifespan.
- Q: Is this book safe for all ages? A: Yes, the content is educational and suitable for all ages interested in mathematics and engineering. However, it is primarily targeted towards university students.
- Q: What should I do if the book arrives damaged? A: If the book arrives damaged, contact the retailer for a return or exchange. Most retailers have policies in place to handle such issues.
- Q: Is there a warranty for this book? A: No, books typically do not come with warranties. However, you can check the return policy for options if needed.
- Q: How can I find additional resources related to this book? A: You can find additional resources by checking the publisher's website or looking for companion websites that offer supplementary materials.
- Q: Does this book include any illustrations or diagrams? A: Yes, the book includes illustrations and diagrams to help explain complex concepts visually. These aids are beneficial for understanding the material.