Stefan Weinzierl

This textbook on Feynman integrals starts from the basics, requiring only knowledge of special relativity and undergraduate mathematics. Feynman integrals are indispensable for precision calculations in quantum field theory. At the same time, they are also fascinating from a mathematical point of view. Topics from quantum field theory and advanced mathematics are introduced as needed. The book covers modern developments in the field of Feynman integrals. Topics included are: representations of Feynman integrals, integration-by-parts, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, coactions and symbols, cluster algebras, elliptic Feynman integrals, and motives associated with Feynman integrals. This volume is aimed at a) students at the master's level in physics or mathematics, b) physicists who want to learn how to calculate Feynman integrals (for whom state-of-the-art techniques and computations are provided), and c) mathematicians who are interested in the mathematical aspects underlying Feynman integrals. It is, indeed, the interwoven nature of their physical and mathematical aspects that make Feynman integrals so enthralling.

A Comprehensive Treatment for Students and Researchers

Feynman Integrals

Christoph Gengnagel

Olivier Baverel

Jane Burry

Mette Ramsgaard Thomsen

This book reflects and expands on the current trend in the building industry to understand, simulate and ultimately design buildings by taking into consideration the interlinked elements and forces that act on them. Shifting away from the traditional focus, which was exclusively on building tasks, this approach presents new challenges in all areas of the industry, from material and structural to the urban scale. The book presents contributions including research papers and case studies, providing a comprehensive overview of the field as well as perspectives from related disciplines, such as computer science. The chapter authors were invited speakers at the 7th Symposium “Impact: Design With All Senses”, which took place at the University of the Arts in Berlin in September 2019.

Proceedings of the Design Modelling Symposium, Berlin 2019

Impact: Design With All Senses

Hauke Egermann

Till Bovermann

Sarah-Indriyati Hardjowirogo

Alberto de Campo

By exploring the many different types and forms of contemporary musical instruments, this book contributes to a better understanding of the conditions of instrumentality in the 21st century. Providing insights from science, humanities and the arts, authors from a wide range of disciplines discuss the following questions: · What are the conditions under which an object is recognized as a musical instrument? · What are the actions and procedures typically associated with musical instruments? · What kind of (mental and physical) knowledge do we access in order to recognize or use something as a musical instrument? · How is this knowledge being shaped by cultural conventions and temporal conditions? · How do algorithmic processes 'change the game' of musical performance, and as a result, how do they affect notions of instrumentality? · How do we address the question of instrumental identity within an instrument's design process? · What properties can be used to differentiate successful and unsuccessful instruments? Do these properties also contribute to the instrumentality of an object in general? What does success mean within an artistic, commercial, technological, or scientific context?

Identities, Configurations, Practices

Musical Instruments in the 21st Century

Stefan Weinzierl

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