Green's Functions with Applications

This book is expensive. If you do not need to know about Fourier transforms or green's functions and just want to know about them this book is not for you, unless you are already rich. I got this book to help out a student with green's functions because in Quantum Field Theory the green's function is the propagator. We took a big chance on this book because of the price.I am amazed at the functionality of this book, in other words it teaches more than just green's functions. It teaches Fourier Transforms and also Laplace Transforms. You will have to brush up on residue theory or you will be lost. This book puts all four of these ideas into it. As I said it does not go into how to do residue theory, you will need your old Complex Analysis textbook for that because it assumes you know how to do that.After you finish this this book obviously you will know how to solve Green's Functions and it does a great job of doing that. Your skills on Fourier Transforms, Laplace Transforms and Residue theory will be greatly enhanced. It is really not written for mathematician's, the mathematical theory is keep to a minimum. It is all application and for physicists or other branches of science that is what you want.It is well worth the price, you could buy other books and wind up spending twice what this book costs and come away, not being able to solve one Green's function. You, in the end will know how to solve Green's functions by several different methods. As I said, it also enhances your skills with Fourier Transforms, Laplace Transforms and Residue theory. This book builds up your muscles for differential and partial differential equations, even if they are not Green's functions.It has most of the answers in the back of the book. After all it is nice to know if you did get the right answer? I learned from this book and I have a PhD. in physics and as I said it is used in physics to get the propagator. OFT books kind of water down this subject and mostly avoid it.Finally we got way more out of this book than expected, as I think I have explained. This is one of those rare books that I call, "like cheating." It is what some of your teachers know but will or cannot show you in class. I would never recommend a book of this price to a student, if I did not think it was worth it. Remember, you can pick up Fourier Transforms, Laplace Transforms and Green's functions form this book but not residue theory and you need it for this book.

This is a self contained book that can be extremely helpful for physics students working in quite different areas. The book starts with a general introduction to the subject, going then to the most relevant cases: the wave equation, the heat equation and the Helmholtz equation. Helpful appendices are also included.

This is a remarkable book. It helps fill the gaps in many other books by providing missing steps or ideas in key derivations. It is of great use in the math of financial derivatives as well as bank and insurance risk models.For finance and economics people who missed the multiyear sequence of courses in physics that train physicists in pde methods, this is an excellent book to catch up with. It should be required reading at government agenciesinvolved in risk model oversight such as FDIC, Treasury and the Federal Reserve.