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Dynamical Systems And Evolution Equations: Theory And Applications (Mathematical Concepts And Methods In Science And Engineering-used
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This Book Grew Out Of A Ninemonth Course First Given During 197677 In The Division Of Engineering Mechanics, University Of Texas (Austin), And Repeated During 197778 In The Department Of Engineering Sciences And Applied Mathematics, Northwestern University. Most Of The Students Were In Their Second Year Of Graduate Study, And All Were Familiar With Fourier Series, Lebesgue Integration, Hilbert Space, And Ordinary Differential Equa Tions In Finitedimensional Space. This Book Is Primarily An Exposition Of Certain Methods Of Topological Dynamics That Have Been Found To Be Very Useful In The Analysis Of Physical Systems But Appear To Be Well Known Only To Specialists. The Purpose Of The Book Is Twofold: To Present The Material In Such A Way That The Applicationsoriented Reader Will Be Encouraged To Apply These Methods In The Study Of Those Physical Systems Of Personal Interest, And To Make The Coverage Sufficient To Render The Current Research Literature Intelligible, Preparing The More Mathematically Inclined Reader For Research In This Particular Area Of Applied Mathematics. We Present Only That Portion Of The Theory Which Seems Most Useful In Applications To Physical Systems. Adopting The View That The World Is Deterministic, We Consider Our Basic Problem To Be Predicting The Future For A Given Physical System. This Prediction Is To Be Based On A Known Equation Of Evolution, Describing The Forwardtime Behavior Of The System, But It Is To Be Made Without Explicitly Solving The Equation.
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- Q: What is the page count of the book? A: The book contains two hundred thirty-six pages. It provides a comprehensive exploration of dynamical systems and their applications.
- Q: What type of binding does this book have? A: This book is hardcover. The hardcover binding enhances durability and is suitable for frequent use.
- Q: Who is the author of this book? A: The author of the book is John A. Walker. He is recognized for his contributions to the field of applied mathematics.
- Q: What is the main focus of this book? A: The book focuses on topological dynamics and its applications. It aims to make complex mathematical concepts accessible for practical use.
- Q: Is this book suitable for beginners? A: No, this book is not designed for beginners. It assumes familiarity with advanced mathematical concepts like Fourier series and Lebesgue integration.
- Q: What academic background is needed to understand this book? A: Readers should have a background in graduate-level mathematics. A solid understanding of differential equations and Hilbert space is essential.
- Q: How can I apply the methods in this book? A: You can apply the methods by analyzing physical systems relevant to your interests. The book encourages practical application of the discussed theories.
- Q: What topics does the book cover? A: The book covers topics in dynamical systems and evolution equations. It emphasizes their theoretical aspects and applications in physical systems.
- Q: Are there real-world applications discussed in the book? A: Yes, the book discusses various applications of dynamical systems in real-world scenarios. It aims to bridge theory and practical application.
- Q: What should I do to keep this book in good condition? A: To keep the book in good condition, store it in a cool, dry place and avoid exposing it to direct sunlight. Handle it carefully to prevent damage.
- Q: Can I return the book if I am not satisfied? A: Yes, you can return the book if you are not satisfied. Check the retailer's return policy for specific conditions and time limits.
- Q: What if the book arrives damaged? A: If the book arrives damaged, contact the seller immediately for a replacement or refund. Most retailers have policies for damaged items.
- Q: Is this book appropriate for research purposes? A: Yes, the book is appropriate for research purposes. It provides foundational knowledge necessary for studying dynamical systems in depth.
- Q: What is the target audience for this book? A: The target audience is graduate students and researchers in applied mathematics. It is particularly useful for those focusing on dynamical systems.
- Q: Does the book include exercises or examples? A: No, the book primarily focuses on theory and applications without including exercises. It serves as a reference for advanced study.