Author: Elaine Chew
Publisher: World Scientific
ISBN: 9813140119
Category : Mathematics
Languages : en
Pages : 315
Book Description
Mathemusical Conversations celebrates the understanding of music through mathematics, and the appreciation of mathematics through music. This volume is a compilation of the invited talks given at the Mathemusical Conversations workshop that took place in Singapore from 13-15 February 2015, organized by Elaine Chew in partnership with Gérard Assayag for the scientific program and with Bernard Lanskey for the artistic program. The contributors are world experts and leading scholars, writing on the intersection of music and mathematics. They also focus on performance and composition, two topics which are foundational both to the understanding of human creativity and to the creation of tomorrow's music technologies. This book is essential reading for researchers in both music and mathematics. It will also appeal more broadly to scholars, students, musicians, and anyone interested in new perspectives on the intimate relationship between these two universal human activities.
Mathemusical Conversations: Mathematics And Computation In Music Performance And Composition
Author: Elaine Chew
Publisher: World Scientific
ISBN: 9813140119
Category : Mathematics
Languages : en
Pages : 315
Book Description
Mathemusical Conversations celebrates the understanding of music through mathematics, and the appreciation of mathematics through music. This volume is a compilation of the invited talks given at the Mathemusical Conversations workshop that took place in Singapore from 13-15 February 2015, organized by Elaine Chew in partnership with Gérard Assayag for the scientific program and with Bernard Lanskey for the artistic program. The contributors are world experts and leading scholars, writing on the intersection of music and mathematics. They also focus on performance and composition, two topics which are foundational both to the understanding of human creativity and to the creation of tomorrow's music technologies. This book is essential reading for researchers in both music and mathematics. It will also appeal more broadly to scholars, students, musicians, and anyone interested in new perspectives on the intimate relationship between these two universal human activities.
Publisher: World Scientific
ISBN: 9813140119
Category : Mathematics
Languages : en
Pages : 315
Book Description
Mathemusical Conversations celebrates the understanding of music through mathematics, and the appreciation of mathematics through music. This volume is a compilation of the invited talks given at the Mathemusical Conversations workshop that took place in Singapore from 13-15 February 2015, organized by Elaine Chew in partnership with Gérard Assayag for the scientific program and with Bernard Lanskey for the artistic program. The contributors are world experts and leading scholars, writing on the intersection of music and mathematics. They also focus on performance and composition, two topics which are foundational both to the understanding of human creativity and to the creation of tomorrow's music technologies. This book is essential reading for researchers in both music and mathematics. It will also appeal more broadly to scholars, students, musicians, and anyone interested in new perspectives on the intimate relationship between these two universal human activities.
Perspectives on Artistic Research in Music
Author: Robert Burke
Publisher: Lexington Books
ISBN: 1498544827
Category : Music
Languages : en
Pages : 245
Book Description
The increasing interest in artistic research, especially in music, is throwing open doors to exciting ideas about how we generate new musical knowledge and understanding. This book examines the wide array of factors at play in innovative practice and how by treating it as research we can make new ideas more widely accessible. Three key ideas propel the book. First, it argues that artistic research comes from inside the practice and exists in a space that accommodates both objective and subjective observation and analyses because the researcher is the practitioner. It is a space for dialogue between apparently opposing binaries: the composer and the performer, the past and the present, the fixed and the fluid, the intellectual and the intuitive, the abstract and the embodied, the prepared and the spontaneous, the enduring and the transitory, and so on. It is not so much constructed in a logical, sequential manner in the way of the scientific method of doing research but more as a “braided” space, woven from many disparate elements. Second, the book articulates the notion that artistic research in music has its own verification procedures that need to be brought into the academy, especially in terms of the moderation of non-traditional research outputs, including the description of the criteria for allocation of research points for the purposes of data collection, as well as real world relevance and industry engagement. Third, by way of numerous examples of original and creative music making, it demonstrates in practical terms how exploration and experimentation functions as legitimate academic research. Many of the case studies deliberately cross boundaries that were previously assumed to be rigid and definite in order to blaze new musical trails, creating new collaborations and synergies.
Publisher: Lexington Books
ISBN: 1498544827
Category : Music
Languages : en
Pages : 245
Book Description
The increasing interest in artistic research, especially in music, is throwing open doors to exciting ideas about how we generate new musical knowledge and understanding. This book examines the wide array of factors at play in innovative practice and how by treating it as research we can make new ideas more widely accessible. Three key ideas propel the book. First, it argues that artistic research comes from inside the practice and exists in a space that accommodates both objective and subjective observation and analyses because the researcher is the practitioner. It is a space for dialogue between apparently opposing binaries: the composer and the performer, the past and the present, the fixed and the fluid, the intellectual and the intuitive, the abstract and the embodied, the prepared and the spontaneous, the enduring and the transitory, and so on. It is not so much constructed in a logical, sequential manner in the way of the scientific method of doing research but more as a “braided” space, woven from many disparate elements. Second, the book articulates the notion that artistic research in music has its own verification procedures that need to be brought into the academy, especially in terms of the moderation of non-traditional research outputs, including the description of the criteria for allocation of research points for the purposes of data collection, as well as real world relevance and industry engagement. Third, by way of numerous examples of original and creative music making, it demonstrates in practical terms how exploration and experimentation functions as legitimate academic research. Many of the case studies deliberately cross boundaries that were previously assumed to be rigid and definite in order to blaze new musical trails, creating new collaborations and synergies.
Artistic Research
Author: Paulo de Assis
Publisher: Rowman & Littlefield
ISBN: 1786611511
Category : Reference
Languages : en
Pages : 265
Book Description
Artistic Research: Charting a Field in Expansion provides a multidisciplinary overview of different discourses and practices, exploring cutting-edge questions from the burgeoning field of artistic research. Intended as a primer on artistic research, it presents diverse perspectives, strategies, methodologies, and concrete examples of research projects situated at the crossroads of art and academia, exposing international work of significant projects from Europe, Asia, Australia, South and North America. The book includes chapters on diverse fields of thought and practice, addressing a common thread of questions and problematics. The comprehensive editors’ introduction offers a much-needed extensive overview of practice-based artistic research in general. This book is ideal for graduate students across philosophy, cultural studies, art, music, performance studies and more.
Publisher: Rowman & Littlefield
ISBN: 1786611511
Category : Reference
Languages : en
Pages : 265
Book Description
Artistic Research: Charting a Field in Expansion provides a multidisciplinary overview of different discourses and practices, exploring cutting-edge questions from the burgeoning field of artistic research. Intended as a primer on artistic research, it presents diverse perspectives, strategies, methodologies, and concrete examples of research projects situated at the crossroads of art and academia, exposing international work of significant projects from Europe, Asia, Australia, South and North America. The book includes chapters on diverse fields of thought and practice, addressing a common thread of questions and problematics. The comprehensive editors’ introduction offers a much-needed extensive overview of practice-based artistic research in general. This book is ideal for graduate students across philosophy, cultural studies, art, music, performance studies and more.
Modeling And Simulation For Collective Dynamics
Author: Weizhu Bao
Publisher: World Scientific
ISBN: 9811266158
Category : Mathematics
Languages : en
Pages : 243
Book Description
The thematic program Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications was held at the Institute for Mathematical Sciences at the National University of Singapore, from September 2019 to March 2020. Leading experts presented tutorials and special lectures geared towards the participating graduate students and junior researchers.Readers will find in this significant volume four expanded lecture notes with self-contained tutorials on modeling and simulation for collective dynamics including individual and population approaches for population dynamics in mathematical biology, collective behaviors for Lohe type aggregation models, mean-field particle swarm optimization, and consensus-based optimization and ensemble Kalman inversion for global optimization problems with constraints.This volume serves to inspire graduate students and researchers who will embark into original research work in kinetic models for collective dynamics and their applications.
Publisher: World Scientific
ISBN: 9811266158
Category : Mathematics
Languages : en
Pages : 243
Book Description
The thematic program Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications was held at the Institute for Mathematical Sciences at the National University of Singapore, from September 2019 to March 2020. Leading experts presented tutorials and special lectures geared towards the participating graduate students and junior researchers.Readers will find in this significant volume four expanded lecture notes with self-contained tutorials on modeling and simulation for collective dynamics including individual and population approaches for population dynamics in mathematical biology, collective behaviors for Lohe type aggregation models, mean-field particle swarm optimization, and consensus-based optimization and ensemble Kalman inversion for global optimization problems with constraints.This volume serves to inspire graduate students and researchers who will embark into original research work in kinetic models for collective dynamics and their applications.
Density Functionals For Many-particle Systems: Mathematical Theory And Physical Applications Of Effective Equations
Author: Berthold-georg Englert
Publisher: World Scientific
ISBN: 9811272166
Category : Science
Languages : en
Pages : 397
Book Description
Density Functional Theory (DFT) first established it's theoretical footing in the 1960s from the framework of Hohenberg-Kohn theorems. DFT has since seen much development in evaluation techniques as well as application in solving problems in Physics, Mathematics and Chemistry.This review volume, part of the IMS Lecture Notes Series, is a collection of contributions from the September 2019 Workshop on the topic, held in the Institute for Mathematical Sciences, National University of Singapore.With contributions from prominent Mathematicians, Physicists, and Chemists, the volume is a blend of comprehensive review articles on the Mathematical and the Physicochemical aspects of DFT and shorter contributions on particular themes, including numerical implementations.The book will be a useful reference for advanced undergraduate and postgraduate students as well as researchers.
Publisher: World Scientific
ISBN: 9811272166
Category : Science
Languages : en
Pages : 397
Book Description
Density Functional Theory (DFT) first established it's theoretical footing in the 1960s from the framework of Hohenberg-Kohn theorems. DFT has since seen much development in evaluation techniques as well as application in solving problems in Physics, Mathematics and Chemistry.This review volume, part of the IMS Lecture Notes Series, is a collection of contributions from the September 2019 Workshop on the topic, held in the Institute for Mathematical Sciences, National University of Singapore.With contributions from prominent Mathematicians, Physicists, and Chemists, the volume is a blend of comprehensive review articles on the Mathematical and the Physicochemical aspects of DFT and shorter contributions on particular themes, including numerical implementations.The book will be a useful reference for advanced undergraduate and postgraduate students as well as researchers.
Models And Methods For Quantum Condensation And Fluids
Author: Weizhu Bao
Publisher: World Scientific
ISBN: 9811266069
Category : Mathematics
Languages : en
Pages : 361
Book Description
The Institute for Mathematical Sciences at the National University of Singapore hosted a thematic program on Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications from September 2019 to March 2020. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects six expanded lecture notes with self-contained tutorials. The coverage includes mathematical models and numerical methods for multidimensional solitons in linear and nonlinear potentials; Bose-Einstein condensation (BEC) with dipole-dipole interaction, higher order interaction and spin-orbit coupling; classical and quantum turbulence; and molecular dynamics process based on the first-principle in quantum chemistry.This volume serves to inspire graduate students and researchers who will embark into original research work in these fields.
Publisher: World Scientific
ISBN: 9811266069
Category : Mathematics
Languages : en
Pages : 361
Book Description
The Institute for Mathematical Sciences at the National University of Singapore hosted a thematic program on Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications from September 2019 to March 2020. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects six expanded lecture notes with self-contained tutorials. The coverage includes mathematical models and numerical methods for multidimensional solitons in linear and nonlinear potentials; Bose-Einstein condensation (BEC) with dipole-dipole interaction, higher order interaction and spin-orbit coupling; classical and quantum turbulence; and molecular dynamics process based on the first-principle in quantum chemistry.This volume serves to inspire graduate students and researchers who will embark into original research work in these fields.
The Geometry, Topology And Physics Of Moduli Spaces Of Higgs Bundles
Author: Richard Wentworth
Publisher: World Scientific
ISBN: 9813229101
Category : Mathematics
Languages : en
Pages : 412
Book Description
In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics. There is a recent surge of interest following Ngô Bau Châu's proof of the Fundamental Lemma and the work of Kapustin and Witten on the Geometric Langlands program. The program on The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles, was held at the Institute for Mathematical Sciences at the National University of Singapore during 2014. It hosted a number of lectures on recent topics of importance related to Higgs bundles, and it is the purpose of this volume to collect these lectures in a form accessible to graduate students and young researchers interested in learning more about this field.
Publisher: World Scientific
ISBN: 9813229101
Category : Mathematics
Languages : en
Pages : 412
Book Description
In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics. There is a recent surge of interest following Ngô Bau Châu's proof of the Fundamental Lemma and the work of Kapustin and Witten on the Geometric Langlands program. The program on The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles, was held at the Institute for Mathematical Sciences at the National University of Singapore during 2014. It hosted a number of lectures on recent topics of importance related to Higgs bundles, and it is the purpose of this volume to collect these lectures in a form accessible to graduate students and young researchers interested in learning more about this field.
Atomism in Philosophy
Author: Ugo Zilioli
Publisher: Bloomsbury Publishing
ISBN: 1350107514
Category : Philosophy
Languages : en
Pages : 505
Book Description
The nature of matter and the idea of indivisible parts has fascinated philosophers, historians, scientists and physicists from antiquity to the present day. This collection covers the richness of its history, starting with how the Ancient Greeks came to assume the existence of atoms and concluding with contemporary metaphysical debates about structure, time and reality. Focusing on important moments in the history of human thought when the debate about atomism was particularly flourishing and transformative for the scientific and philosophical spirit of the time, this collection covers: - The discovery of atomism in ancient philosophy - Ancient non-Western, Arabic and late Medieval thought - The Renaissance, when along with the re-discovery of ancient thought, atomism became once again an important doctrine to be fully debated - Logical atomism in early analytic philosophy, with Russell and Wittgenstein - Atomism in Liberalism and Marxism - Atomism and the philosophy of time - Atomism in contemporary metaphysics - Atomism and the sciences Featuring 28 chapters by leading and younger scholars, this valuable collection reveals the development of one of philosophy's central doctrines across 2,500 years and within a broad range of philosophical traditions.
Publisher: Bloomsbury Publishing
ISBN: 1350107514
Category : Philosophy
Languages : en
Pages : 505
Book Description
The nature of matter and the idea of indivisible parts has fascinated philosophers, historians, scientists and physicists from antiquity to the present day. This collection covers the richness of its history, starting with how the Ancient Greeks came to assume the existence of atoms and concluding with contemporary metaphysical debates about structure, time and reality. Focusing on important moments in the history of human thought when the debate about atomism was particularly flourishing and transformative for the scientific and philosophical spirit of the time, this collection covers: - The discovery of atomism in ancient philosophy - Ancient non-Western, Arabic and late Medieval thought - The Renaissance, when along with the re-discovery of ancient thought, atomism became once again an important doctrine to be fully debated - Logical atomism in early analytic philosophy, with Russell and Wittgenstein - Atomism in Liberalism and Marxism - Atomism and the philosophy of time - Atomism in contemporary metaphysics - Atomism and the sciences Featuring 28 chapters by leading and younger scholars, this valuable collection reveals the development of one of philosophy's central doctrines across 2,500 years and within a broad range of philosophical traditions.
Genealogies of Interacting Particle Systems
Author: Matthias Birkner
Publisher: World Scientific
ISBN: 9811206090
Category : Biomathematics
Languages : en
Pages : 363
Book Description
"Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology. Genealogies, which follow the origin of the state of a site backwards in time, play an important role in their studies, especially for the biologically motivated systems. The program Genealogies of Interacting Particle Systems held at the Institute for Mathematical Sciences, National University of Singapore, from 17 July to 18 Aug 2017, brought together experts and young researchers interested in this modern topic. Central to the program were learning sessions where lecturers presented work outside of their own research, as well as a normal workshop "--Publisher's website.
Publisher: World Scientific
ISBN: 9811206090
Category : Biomathematics
Languages : en
Pages : 363
Book Description
"Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology. Genealogies, which follow the origin of the state of a site backwards in time, play an important role in their studies, especially for the biologically motivated systems. The program Genealogies of Interacting Particle Systems held at the Institute for Mathematical Sciences, National University of Singapore, from 17 July to 18 Aug 2017, brought together experts and young researchers interested in this modern topic. Central to the program were learning sessions where lecturers presented work outside of their own research, as well as a normal workshop "--Publisher's website.
Combinatorial And Toric Homotopy: Introductory Lectures
Author: Alastair Darby
Publisher: World Scientific
ISBN: 9813226587
Category : Mathematics
Languages : en
Pages : 448
Book Description
This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning.The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology and illustrates an attempt to classify in a combinatorial way polytopes known as fullerenes, which are important objects in quantum physics, quantum chemistry and nanotechnology. Toric homotopy theory is then introduced as a further development of toric topology, which describes properties of Davis-Januszkiewicz spaces, moment-angle complexes and their generalizations to polyhedral products. The book also displays the current research on configuration spaces, braids, the theory of limits over the category of presentations and the theory of fr-codes. As an application to robotics, the book surveys topological problems relevant to the motion planning problem of robotics and includes new results and constructions, which enrich the emerging area of topological robotics.The book is at research entry level addressing the core components in homotopy theory and their important applications in the sciences and thus suitable for advanced undergraduate and graduate students.
Publisher: World Scientific
ISBN: 9813226587
Category : Mathematics
Languages : en
Pages : 448
Book Description
This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning.The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology and illustrates an attempt to classify in a combinatorial way polytopes known as fullerenes, which are important objects in quantum physics, quantum chemistry and nanotechnology. Toric homotopy theory is then introduced as a further development of toric topology, which describes properties of Davis-Januszkiewicz spaces, moment-angle complexes and their generalizations to polyhedral products. The book also displays the current research on configuration spaces, braids, the theory of limits over the category of presentations and the theory of fr-codes. As an application to robotics, the book surveys topological problems relevant to the motion planning problem of robotics and includes new results and constructions, which enrich the emerging area of topological robotics.The book is at research entry level addressing the core components in homotopy theory and their important applications in the sciences and thus suitable for advanced undergraduate and graduate students.