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31 768 Ft (30 255 Ft + 5% VAT)
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31 768 Ft
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Product details:
- Publisher Springer
- Date of Publication 10 April 2025
- Number of Volumes 1 pieces, Book
- ISBN 9783031822179
- Binding Paperback
- No. of pages270 pages
- Size 235x155 mm
- Language English
- Illustrations 124 Illustrations, black & white 700
Categories
Short description:
This book introduces foundational topics such as group theory, fields, linear algebra, matrix theory, and graph theory, providing readers with the essential background needed to understand Feynman diagrams and their integral representations.
The book highlights Feynman's parametrization as a central tool for studying Feynman integrals, starting with the traditional momentum representation. Schwinger and Lee-Pomeransky parametrizations are covered in a supplementary chapter. Readers will develop a clear understanding of the mathematical properties and practical applications of these techniques, with a particular emphasis on Feynman?s approach. Advanced topics such as integration-by-parts identities and intersection number theory are explored in the final chapter, offering readers a gateway to key mathematical structures.
The prerequisites are minimal?only a basic familiarity with algebra and calculus is recommended. The content begins with introductory concepts and gradually progresses to more advanced material, ensuring a balanced learning curve. Practical examples throughout the book reinforce the main ideas, allowing readers to apply what they?ve learned and deepen their understanding as they move through the material.
Long description:
This book introduces foundational topics such as group theory, fields, linear algebra, matrix theory, and graph theory, providing readers with the essential background needed to understand Feynman diagrams and their integral representations.
The book highlights Feynman's parametrization as a central tool for studying Feynman integrals, starting with the traditional momentum representation. Schwinger and Lee-Pomeransky parametrizations are covered in a supplementary chapter. Readers will develop a clear understanding of the mathematical properties and practical applications of these techniques, with a particular emphasis on Feynman?s approach. Advanced topics such as integration-by-parts identities and intersection number theory are explored in the final chapter, offering readers a gateway to key mathematical structures.
The prerequisites are minimal?only a basic familiarity with algebra and calculus is recommended. The content begins with introductory concepts and gradually progresses to more advanced material, ensuring a balanced learning curve. Practical examples throughout the book reinforce the main ideas, allowing readers to apply what they?ve learned and deepen their understanding as they move through the material.
Table of Contents:
Introduction: what are Feynman Integrals?.- Algebraic Preliminaries.- Graph Theory 101.- Graph Theory 102.- Feynman Integrals in Schwinger-Feynman-Lee-Pomeransky Representations.- Advanced Topics.- Appendices.- Index.
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