All there is to know about functional analysis, integral equations and calculus of variations in a single volume. This handbook starts with a short introduction to functional analysis, including a review of complex analysis, before continuing a systematic discussion of different types of integral equations. After a few remarks on the historical development, the second part gives an introduction to the calculus of variations and the relationship between integral equations and applications of the calculus of variations. It further covers applications of the calculus of variations developed in the second half of the 20th century in the fields of quantum mechanics, quantum statistical mechanics and quantum field theory. The manuscript is essentially divided into two parts:One on integral equations and one on the calculus of variations. The second part starts - after a few remarks on the historical development - with an introduction of the calculus of variations and the relationship between integral equations and applications of the calculus of variations. Chapter 10 covers applications of the calculus of variations developed in the 2nd half of the 20th century in the fields of quantum mechanics, quantum statistical mechanics and quantum field theory. Throughout the book the author presents a wealth of problems and examples often with a physical background. He provides outlines of thesolutions for each problem. Detailed solutions are given, supplementing the materials discussed in the main text. Problems can be solved with the direct application of the method illustrated in the main text. Difficult problems are accompanied with the citation of the original references. This handbook on integral equations and the calculus of variations is highly recommended for use bysenior undergraduate students and first-year graduate students in science andengineering. It's also useful as a reference and self-study guide. The new edition will certainly stir the interest of mature students who wish not only tostudy but also to get some work of their own done (thesis etc.).
- ISBN: 978-3-527-40936-5
- Editorial: Wiley-VCH
- Encuadernacion: Cartoné
- Páginas: 510
- Fecha Publicación: 19/08/2009
- Nº Volúmenes: 1
- Idioma: Inglés