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Famous Puzzles of Great Mathematicians
This entertaining book presents a collection of 180 famous mathematical puzzles and intriguing elementary problems that great mathematicians have posed, discussed, and/or solved. The selected problems do not require advanced mathematics, making this book accessible to a variety of readers. Mathematical recreations offer a rich playground for both amateur and professional mathematicians. Believing that creative stimuli and aesthetic considerations are closely related, great mathematicians from ancient times to the present have always taken an interest in puzzles and diversions. The goal of this book is to show that famous mathematicians have all communicated brilliant ideas, methodological ap...
Music and the Power of Sound
Music has always been esteemed for its power to speak directly to our higher consciousness, a power founded in the purity of simple harmonic ratios. In this book, Alain Danielou traces the development of musical scales and tuning from their origins in both China and India, through their merging in ancient Greece, and on to the development of the Western traditions of modal and polyphonic music. Understanding these potent harmonic relationships offers a way for today's musicians to transcend the limitations of overly rationalistic music by drawing on its metaphysical roots.
Soil Analysis in Forensic Taphonomy
A burial environment is a complex and dynamic system. It plays host to an abundance of interdependent chemical, physical, and biological processes, which are greatly influenced by the inclusion of a body and its subsequent decay. However, while taphonomy continues to emerge as a valuable forensic tool, until now most of the attention has been on th
The Resilience of Language
Imagine a child who has never seen or heard any language at all. Would such a child be able to invent a language on her own? Despite what one might guess, the children described in this book make it clear that the answer to this question is 'yes'. The children are congenitally deaf and cannot learn the spoken language that surrounds them. In addition, they have not yet been exposed to sign language, either by their hearing parents or their oral schools. Nevertheless, the children use their hands to communicate - they gesture - and those gestures take on many of the forms and functions of language. The properties of language that we find in the deaf children's gestures are just those properties that do not need to be handed down from generation to generation, but can be reinvented by a child de novo - the resilient properties of language. This book suggests that all children, deaf or hearing, come to language-learning ready to develop precisely these language properties. In this way, studies of gesture creation in deaf children can show us the way that children themselves have a large hand in shaping how language is learned.
Monteverdi
Monteverdi was born at Cremona in 1567 and died in Venice in 1643. The innovative nature of much of his music has generated considerable artistic and literary comment from the year 1600 onward. In this critical study, the author provides a practically oriented and concise book for both the musician and the researcher. He has avoided the tyranny of a chronological ordering of the compositions by considering them in the broad categories of sacred, secular, and occasional music, and has included fifty musical examples by way of illustration. The first category, dealing with secular vocal music, begins with the pieces written for Guarini's Il pastor fido. There is a special discussion of dialogues, followed by a survey of madrigals with and without continuo. Then come the canzonette, trios, duets, and solos. The section on religious music discusses settings of the Mass and Vespers.
