Author: Frank H. Hall
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 134

Get Book Here

Book Description

Author: Dan Stefanica
Publisher:
ISBN: 9780979757624
Category : Business mathematics
Languages : en
Pages : 332

Get Book Here

Book Description

Author: Kyle Gann
Publisher: University of Illinois Press
ISBN: 0252051424
Category : Music
Languages : en
Pages : 316

Get Book Here

Book Description
"Tuning is the secret lens through which the history of music falls into focus," says Kyle Gann. Yet in Western circles, no other musical issue is so ignored, so taken for granted, so shoved into the corners of musical discourse. A classroom essential and an invaluable reference, The Arithmetic of Listening offers beginners the grounding in music theory necessary to find their own way into microtonality and the places it may take them. Moving from ancient Greece to the present, Kyle Gann delves into the infinite tunings available to any musician who feels straitjacketed by obedience to standardized Western European tuning. He introduces the concept of the harmonic series and demonstrates its relationship to equal-tempered and well-tempered tuning. He also explores recent experimental tuning models that exploit smaller intervals between pitches to create new sounds and harmonies. Systematic and accessible, The Arithmetic of Listening provides a much-needed primer for the wide range of tuning systems that have informed Western music. Audio examples demonstrating the musical ideas in The Arithmetic of Listening can be found at: https://www.kylegann.com/Arithmetic.html

Author: Vladimir Lepetic
Publisher: John Wiley & Sons
ISBN: 1119131650
Category : Mathematics
Languages : en
Pages : 672

Get Book Here

Book Description
Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics An accessible treatment of the fundamentals of modern mathematics, Principles of Mathematics: A Primer provides a unique approach to introductory andadvanced mathematical topics. The book features six main subjects, whichcan be studied independently or in conjunction with each other including: settheory; mathematical logic; proof theory; group theory; theory of functions; andlinear algebra. The author begins with comprehensive coverage of the necessary building blocks in mathematics and emphasizes the need to think abstractly and develop an appreciation for mathematical thinking. Maintaining a useful balance of introductory coverage and mathematical rigor, Principles of Mathematics: A Primer features: Detailed explanations of important theorems and their applications Hundreds of completely solved problems throughout each chapter Numerous exercises at the end of each chapter to encourage further exploration Discussions of interesting and provocative issues that spark readers’ curiosity and facilitate a better understanding and appreciation of the field of mathematics Principles of Mathematics: A Primer is an ideal textbook for upper-undergraduate courses in the foundations of mathematics and mathematical logic as well as for graduate-level courses related to physics, engineering, and computer science. The book is also a useful reference for readers interested in pursuing careers in mathematics and the sciences.

Author: Jeffrey Stopple
Publisher: Cambridge University Press
ISBN: 9780521012539
Category : Mathematics
Languages : en
Pages : 404

Get Book Here

Book Description
An undergraduate-level 2003 introduction whose only prerequisite is a standard calculus course.

Author: Robert B. Ash
Publisher: American Mathematical Soc.
ISBN: 1470457091
Category : Mathematics
Languages : en
Pages : 193

Get Book Here

Book Description
The purpose of this book is to prepare the reader for coping with abstract mathematics. The intended audience is both students taking a first course in abstract algebra who feel the need to strengthen their background and those from a more applied background who need some experience in dealing with abstract ideas. Learning any area of abstract mathematics requires not only ability to write formally but also to think intuitively about what is going on and to describe that process clearly and cogently in ordinary English. Ash tries to aid intuition by keeping proofs short and as informal as possible and using concrete examples as illustration. Thus, it is an ideal textbook for an audience with limited experience in formalism and abstraction. A number of expository innovations are included, for example, an informal development of set theory which teaches students all the basic results for algebra in one chapter.

Author: George Albert Wentworth
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 476

Get Book Here

Book Description

Author: J.D. Williams
Publisher:
ISBN:
Category :
Languages : en
Pages : 256

Get Book Here

Book Description

Author: Deviderjit Singh Sivia
Publisher: OUP Oxford
ISBN: 9780198504283
Category : Mathematics
Languages : en
Pages : 98

Get Book Here

Book Description
This text spans a large range of mathematics, from basic algebra to calculus and Fourier transforms. Its tutorial style bridges the gap between school and university while its conciseness provides a useful reference for the professional.

Author: Joseph Ray
Publisher:
ISBN:
Category : Mental arithmetic
Languages : en
Pages : 160

Get Book Here

Book Description