BOOKS AVAILABLE FOR REVIEW IN LTBA
Richard S. Cook
Classical Chinese Combinatorics: Derivation of the Book of Changes Hexagram Sequence
STEDT Monograph 5 (ISBN:
0-944613-44-6), US$100. Publication Date:
2006.
The first and most enigmatic of the Chinese classics is the Book of
Changes, and the reasoning behind its binary hexagram sequence remained
an unsolved mystery for some 3,000 years (according to the tradition
ascribing it to King Wen of Zhou, d. -11th c.). STEDT Monograph 5:
Classical Chinese Combinatorics: Derivation of the Book of Changes
Hexagram Sequence, by Richard S. Cook, resolves the classical enigma.
It provides a comprehensive analysis of the hexagram sequence, showing
that its classification of binary sequences demonstrates knowledge of
the convergence of certain linear recurrence sequences (LRS; Pingala
-5th c.?, Fibonacci 1202) to division in extreme and mean ratio (DEMR,
the “Golden Section” irrational; Pythagoras -6th c.?, Euclid -4th c.).
It is shown that the complex hexagram sequence encapsulates a careful
and ingenious demonstration of the LRS/DEMR relation, that this
knowledge results from general combinatorial analysis, and is reflected
in elements emphasized in ancient Chinese and Western mathematical
traditions. This copiously illustrated 656-page volume presents a
detailed introduction of the classical problem, an overview and
in-depth derivation of the solution, an extensive terminological
glossary, and computer source code formalizing all aspects of the
derivations. The conclusion of this work situates the major findings in
a larger historical context.
James A Matisoff
Handbook of Proto-Tibeto-Burman: System and Philosophy of Sino-Tibetan Reconstruction
The University of California Press, UC Publications in Linguistics,
135 (ISBN: 0520098439), Cloth $95, £63. Publication Date:
July
2003.
This 800-page volume is a clear and readable presentation of the current state of research on the history of the Tibeto-Burman (TB) language family. The exposition is systematic, treating the reconstruction of all the elements of the TB proto-syllable in turn, including initial consonants (Ch. III), prefixes (Ch. IV), monophthongal and diphthongal rhymes (Ch. V), final nasals (Ch. VII), final stops (Ch. VIII), final liquids (Ch. IX), root-final *-s (Ch. X), suffixes (Ch. XI). Particular attention is paid to variational phenomena at all historical levels (e.g. Ch. XII; "Allofamic variation in rhymes"). This Handbook contains reconstructions of over a thousand Tibeto-Burman roots, as well as suggested comparisons with several hundred Chinese etyma. It is liberally indexed and cross-referenced for maximum accessibility and internal consistency. Emphasis is placed on the special theoretical issues involved in historical reconstruction in the East/Southeast Asian linguistic area.
Laurent Sagart
The
Roots of Old Chinese
Benjamins, Current Issues in Linguistic Theory 184 , xii, 272 pp., Cloth US$132, EUR 110. Publication Date: 1999.
The phonology, morphology and lexicon of late Zhou Chinese are
examined in this volume. It is argued that a proper understanding of
Old Chinese morphology is essential in correctly reconstructing the
phonology. Based on evidence from word-families, modern dialects and
related words in neighboring languages, Old Chinese words are claimed
to consist of a monosyllabic root, to which a variety of derivational
affixes attached. This made Old Chinese typologically more like modern
languages such as Khmer, Gyarong or Atayal, than like Middle and modern
Chinese, where only faint traces of the old morphology remain. In the
first part of the book, the author proposes improvements to Baxter's
system of reconstruction, regarding complex initials and rhymes, and
then reviews in great detail the Old Chinese affixal morphology. New
proposals on phonology and morphology are integrated into a coherent
reconstruction system. The second part of the book consists of
etymological studies of important lexical items in Old Chinese. The
author demonstrates in particular the role of proportional analogy in
the formation of the system of personal pronouns. Special attention is
paid to contact phenomena between Chinese and neighboring languages,
and — unlike most literature on Sino-Tibetan — the author identifies
numerous Chinese loanwords into Tibeto-Burman. The book, which contains
a lengthy list of reconstructions, an index of characters and a general
index, is intended for linguists and cultural historians, as well as
advanced students.