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Music at the Edge invites the reader to experience a complete music
therapy journey through the words and music of the client, and the
therapist's reflections. Francis, a musician living with AIDS,
challenged Colin Andrew Lee, the music therapist, to help clarify
his feelings about living and dying. The relationship that
developed between them enabled Francis the opportunity to
reconsider the meaning of his life and subsequent physical decline,
within a musical context. First published in 1996, Music at the
Edge is a unique and compelling music therapy case study. In this
new edition of the highly successful book, Colin retains the force
of the original text through the lens of contemporary music therapy
theory. This edition also includes more detailed narrative
responses from the author and his role as a therapist and gay man.
Central to the book are the audio examples from the sessions
themselves. The improvisations Francis played and his insightful
verbal explorations provide an extraordinary glimpse into the
therapeutic process when working in palliative and end-of-life
care. This illuminating book offers therapists, musicians, related
professionals and those working with, or facing, illness and death
a unique glimpse into the transcendent powers of music. It is also
relevant to anyone interested in the creative account of a
pianist's discovery of life and death through music.
Music at the Edge invites the reader to experience a complete music
therapy journey through the words and music of the client, and the
therapist's reflections. Francis, a musician living with AIDS,
challenged Colin Andrew Lee, the music therapist, to help clarify
his feelings about living and dying. The relationship that
developed between them enabled Francis the opportunity to
reconsider the meaning of his life and subsequent physical decline,
within a musical context. First published in 1996, Music at the
Edge is a unique and compelling music therapy case study. In this
new edition of the highly successful book, Colin retains the force
of the original text through the lens of contemporary music therapy
theory. This edition also includes more detailed narrative
responses from the author and his role as a therapist and gay man.
Central to the book are the audio examples from the sessions
themselves. The improvisations Francis played and his insightful
verbal explorations provide an extraordinary glimpse into the
therapeutic process when working in palliative and end-of-life
care. This illuminating book offers therapists, musicians, related
professionals and those working with, or facing, illness and death
a unique glimpse into the transcendent powers of music. It is also
relevant to anyone interested in the creative account of a
pianist's discovery of life and death through music.
This is the first comprehensive overview of the present state of research in art therapy and music therapy in the UK. It challenges assumptions about research in these areas, and makes use of research models from art history and music analysis as well as the more orthodox psychological and medical models used in clinical work. Informative and reassuring for those interested in undertaking research, the book gives lively accounts of the personal process of the art therapy and music therapy researcher. It presents the reader with many original ideas and strategies, and will be an invaluable reference book for practitioners and students of art therapy and music therapy, as well as for health professionals who work with them.
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This text is intended as an introduction to mathematical proofs for
students. It is distilled from the lecture notes for a course
focused on set theory subject matter as a means of teaching proofs.
Chapter 1 contains an introduction and provides a brief summary of
some background material students may be unfamiliar with. Chapters
2 and 3 introduce the basics of logic for students not yet familiar
with these topics. Included is material on Boolean logic,
propositions and predicates, logical operations, truth tables,
tautologies and contradictions, rules of inference and logical
arguments. Chapter 4 introduces mathematical proofs, including
proof conventions, direct proofs, proof-by-contradiction, and
proof-by-contraposition. Chapter 5 introduces the basics of naive
set theory, including Venn diagrams and operations on sets. Chapter
6 introduces mathematical induction and recurrence relations.
Chapter 7 introduces set-theoretic functions and covers injective,
surjective, and bijective functions, as well as permutations.
Chapter 8 covers the fundamental properties of the integers
including primes, unique factorization, and Euclid's algorithm.
Chapter 9 is an introduction to combinatorics; topics included are
combinatorial proofs, binomial and multinomial coefficients, the
Inclusion-Exclusion principle, and counting the number of
surjective functions between finite sets. Chapter 10 introduces
relations and covers equivalence relations and partial orders.
Chapter 11 covers number bases, number systems, and operations.
Chapter 12 covers cardinality, including basic results on countable
and uncountable infinities, and introduces cardinal numbers.
Chapter 13 expands on partial orders and introduces ordinal
numbers. Chapter 14 examines the paradoxes of naive set theory and
introduces and discusses axiomatic set theory. This chapter also
includes Cantor's Paradox, Russel's Paradox, a discussion of
axiomatic theories, an exposition on Zermelo-Fraenkel Set Theory
with the Axiom of Choice, and a brief explanation of Goedel's
Incompleteness Theorems.
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