Discrete Encounters

Discrete Encounters
Author: Craig Bauer
Publisher: CRC Press
Total Pages: 718
Release: 2020-05-14
Genre: Mathematics
ISBN: 0429682891

Eschewing the often standard dry and static writing style of traditional textbooks, Discrete Encounters provides a refreshing approach to discrete mathematics. The author blends traditional course topics and applications with historical context, pop culture references, and open problems. This book focuses on the historical development of the subject and provides fascinating details of the people behind the mathematics, along with their motivations, deepening readers’ appreciation of mathematics. This unique book covers many of the same topics found in traditional textbooks, but does so in an alternative, entertaining style that better captures readers’ attention. In addition to standard discrete mathematics material, the author shows the interplay between the discrete and the continuous and includes high-interest topics such as fractals, chaos theory, cellular automata, money-saving financial mathematics, and much more. Not only will readers gain a greater understanding of mathematics and its culture, they will also be encouraged to further explore the subject. Long lists of references at the end of each chapter make this easy. Highlights: Features fascinating historical context to motivate readers Text includes numerous pop culture references throughout to provide a more engaging reading experience Its unique topic structure presents a fresh approach The text’s narrative style is that of a popular book, not a dry textbook Includes the work of many living mathematicians Its multidisciplinary approach makes it ideal for liberal arts mathematics classes, leisure reading, or as a reference for professors looking to supplement traditional courses Contains many open problems Profusely illustrated

The Harpsichord and Clavichord

The Harpsichord and Clavichord
Author: Igor Kipnis
Publisher: Routledge
Total Pages: 571
Release: 2013-04-15
Genre: Music
ISBN: 1135949786

The Harpsichord and Clavichord, An Encyclopedia includes articles on this family of instruments, including famous players, composers, instruments builders, the construction of the instruments, and related terminology. It is the first complete reference on this important family of keyboard instruments. The contributors include major scholars of music and musical instrument history from around the world. It completes the three-volume Encyclopedia of Keyboard Instruments.

Heinrich Schenker

Heinrich Schenker
Author:
Publisher: Pendragon Press
Total Pages: 572
Release: 1978
Genre: Music
ISBN: 9780918728999

Originally published in 1966, the Reeseschrift remains one of the most significant collections of musicological writings ever assembled. Its fifty-six essays, written by some of the greatest scholars of our time, range chronologically from antiquity to the 17thcentury and geographically from Byzantium to the British Isles. They deal with questions of history, style, form, texture, notation, and performance practice.

Science and Sound in Nineteenth-Century Britain

Science and Sound in Nineteenth-Century Britain
Author: Edward J. Gillin
Publisher: Taylor & Francis
Total Pages: 617
Release: 2023-12-22
Genre: History
ISBN: 1003805183

Science and Sound in Nineteenth-Century Britain is a four-volume set of primary sources which seeks to define our historical understanding of the relationship between British scientific knowledge and sound between 1815 and 1900. In the context of rapid urbanization and industrialization, as well as a growing overseas empire, Britain was home to a rich scientific culture in which the ear was as valuable an organ as the eye for examining nature. Experiments on how sound behaved informed new understandings of how a diverse array of natural phenomena operated, notably those of heat, light, and electro-magnetism. In nineteenth-century Britain, sound was not just a phenomenon to be studied, but central to the practice of science itself and broader understandings over nature and the universe. This collection, accompanied by extensive editorial commentary, will be of great interest to students and scholars of the History of Science.

The Bassoon

The Bassoon
Author: James B. Kopp
Publisher: Yale University Press
Total Pages: 360
Release: 2012-01-01
Genre: Music
ISBN: 030018364X

This welcome volume encompasses the entire history of the bassoon, from its origins five centuries ago to its place in twenty-first-century music. James Kopp draws on new archival research and many years' experience playing the instrument to provide an up-to-date and lively portrait of today's bassoon and its intriguing predecessors. He discusses the bassoon's makers, its players, its repertory, its myths, and its audiences, all in unprecedented detail. The bassoon was invented in Italy in response to the need for a bass-register double-reed woodwind suitable for processionals and marching. Composers were quick to exploit its agility and unique timbre. Later, during the reign of Louis XIV, the instrument underwent a major redesign, giving voice to its tenor register. In the early 1800s new scientific precepts propelled a wave of invention and design modifications. In the twentieth century, the multiplicity of competing bassoon designs narrowed to a German (or Heckel) type and a French type, the latter now nearly extinct. The author examines the acoustical consequences of these various redesigns. He also offers new coverage of the bassoon's social history, including its roles in the military and church and its global use during the European Colonial period. Separate historical chapters devoted to contrabassoons and smaller bassoons complete the volume [Publisher description].

Combinatorics: Ancient & Modern

Combinatorics: Ancient & Modern
Author: Robin Wilson
Publisher:
Total Pages: 392
Release: 2013-06-27
Genre: Mathematics
ISBN: 0199656592

Combinatorics is the branch of discrete mathematics that studies (and counts) permutations, combinations, and arrangements of sets of elements. This book constitutes the first book-length survey of the history of combinatorics and uniquely assembles research in the area that would otherwise be inaccessible to the general reader.

Instruments of Knowledge

Instruments of Knowledge
Author: Jean-François Gauvin
Publisher: BRILL
Total Pages: 303
Release: 2023-06-19
Genre: Science
ISBN: 9004504613

In a bid to claim ‘scientific objects’ as requiring a significant amount of conceptual labor, this book looks sequentially at instruments, habits, and museums. The goal is to uncover how, together, these material and immaterial activities, rules, and commitments form one meaningful and credible blueprint revealing the building blocks of knowledge production. They serve to conceptualize and examine the entire life of an instrument: from its ideation and craft to its use, reuse, circulation, recycling, and (if not obliterated) its final entry into a museum. It is such an epistemological triptych that guides this investigation.

Fundamentals of Guitar

Fundamentals of Guitar
Author: Miles Okazaki
Publisher: Mel Bay Publications
Total Pages: 173
Release: 2015-02-25
Genre: Music
ISBN: 1619114860

This book is designed to be useful for guitarists at any skill level. Beginners can use it as an introduction to the foundational concepts of the instrument, intermediate players can use it for training and theoretical work, and advanced players can explore the sections on advanced theory, extended technique and the exhaustive tables of melodic and rhythmic possibilities. It is divided into two parts: pitch and rhythm. Part 1 (pitch) begins with the properties of string, harmonics, and tuning systems. It then moves methodically through pitch information, beginning with locating all versions of a single pitch, building pentatonic, heptatonic, and all possible symmetrical scales. This is followed by a study of intervals, with all possible locations of every two pitches, and a long study that moves through every possible fingering of three pitches, with a series of exercises to master triadic syntax. Part 1 closes with a study of four-pitch structures and complete tables that show all possible pitch sets in circular visual notation. Part 2 (rhythm) begins with a complete course in "Symmetrical Picking," a method based on drum rudiments that builds control in the picking hand through an exhaustive variety of movements. The focus of this section is building a strong rhythmic foundation, with a focus on efficiency, accuracy, speed, dynamics, and groove. It is followed by a study of legato playing, working with ornaments and slides. The study of playing with fingers on multiple strings takes up the remainder of the book. This begins with the study of pulse against pulse, playing two simultaneous tempos. The book concludes with a study of polyrhythm, playing one rhythm against another. Plain English is used as much as possible to describe theoretical concepts, and hundreds of illustrations were made for the book as an aid to those who either don't speak English or prefer to think visually. This approach is designed to be inclusive and to promote creative practice. The main idea of the book is described in this passage (page 154): "Even in this small area there is a lot of material, potentially a lifetime of study. The amount of information can feel overwhelming to students at any level. For this reason, the book is designed for self-directed practice, with an emphasis on what the player "could" do, rather than what the player "should" do. The principle is to develop your own learning process, rather than following someone else's. The ability to make choices is essential in finding a personal approach to the instrument. Pick and choose the studies that seem interesting - there should be enough variety to accommodate a wide range of personalities. If any particular concept or exercise has been useful as the starting point for a new creative direction, then the book has done its job. Its purpose is not to push any dogma, method, or style, but to open the door to options for guitarists of any background that are looking for new perspectives.

Icons of Mathematics

Icons of Mathematics
Author: Claudi Alsina
Publisher: MAA
Total Pages: 348
Release: 2011-08-04
Genre: Mathematics
ISBN: 0883853523

An exploration of the mathematics of twenty geometric diagrams that play a crucial role in visualizing mathematical proofs. Those teaching undergraduate mathematics will find material here for problem solving sessions, as well as enrichment material for courses on proofs and mathematical reasoning.