Introduction to Partial Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Introduction to Partial Differential Equations by David Borthwick, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: David Borthwick ISBN: 9783319489360
Publisher: Springer International Publishing Publication: January 12, 2017
Imprint: Springer Language: English
Author: David Borthwick
ISBN: 9783319489360
Publisher: Springer International Publishing
Publication: January 12, 2017
Imprint: Springer
Language: English

This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise. 

Within each section the author creates a narrative that answers the five questions: 

  1. What is the scientific problem we are trying to understand?

  2. How do we model that with PDE?

  3. What techniques can we use to analyze the PDE?

  4. How do those techniques apply to this equation?

  5. What information or insight did we obtain by developing and analyzing the PDE?

The text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspiration for the development of methods. 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise. 

Within each section the author creates a narrative that answers the five questions: 

  1. What is the scientific problem we are trying to understand?

  2. How do we model that with PDE?

  3. What techniques can we use to analyze the PDE?

  4. How do those techniques apply to this equation?

  5. What information or insight did we obtain by developing and analyzing the PDE?

The text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspiration for the development of methods. 

More books from Springer International Publishing

Cover of the book Urban Climate Resilience in Southeast Asia by David Borthwick
Cover of the book Techniques for Building Timing-Predictable Embedded Systems by David Borthwick
Cover of the book Exile and Expatriation in Modern American and Palestinian Writing by David Borthwick
Cover of the book Algorithmic Aspects of Cloud Computing by David Borthwick
Cover of the book Minority Rights and the National Question in Nigeria by David Borthwick
Cover of the book Economic Cycles, Crises, and the Global Periphery by David Borthwick
Cover of the book Management of Macular Hemorrhage by David Borthwick
Cover of the book Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps by David Borthwick
Cover of the book Domain Adaptation in Computer Vision Applications by David Borthwick
Cover of the book Advances in Computer Vision by David Borthwick
Cover of the book Principles of Mobile Communication by David Borthwick
Cover of the book Fostering Internationalism through Marine Science by David Borthwick
Cover of the book Histone Recognition by David Borthwick
Cover of the book Quantum Waveguides by David Borthwick
Cover of the book Mind Genomics by David Borthwick
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy