Tag: Harmonic

January 11, 2024

Harmonic Development and Contrapuntal Techniques for the Jazz Pianist

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Free Download Harmonic Development and Contrapuntal Techniques for the Jazz Pianist: An Imaginative Approach
English | 2024 | ISBN: 1032399236 | 222 Pages | PDF (True) | 76 MB
Harmonic Development and Contrapuntal Techniques for the Jazz Pianist serves as a guide for harmonic expansion and development for jazz piano, offering pianists both a rationale and methods to improve contrapuntal hand techniques.

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January 7, 2024

Sampling, Approximation, and Signal Analysis Harmonic Analysis in the Spirit of J. Rowland Higgins

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Free Download Sampling, Approximation, and Signal Analysis Harmonic Analysis: in the Spirit of J. Rowland Higgins by Stephen D. Casey, M. Maurice Dodson, Paulo J. S. G. Ferreira, Ahmed Zayed
English | PDF EPUB (True) | 2023 | 580 Pages | ISBN : 3031411293 | 67.7 MB
During his long and distinguished career, J. Rowland Higgins (1935-2020) made a substantial impact on many mathematical fields through his work on sampling theory, his deep knowledge of its history, and his service to the community. This volume is a tribute to his work and legacy, featuring chapters written by distinguished mathematicians that explore cutting-edge research in sampling, approximation, signal analysis, and other related areas. An introductory chapter provides a biography of Higgins that explores his rich and unique life, along with a bibliography of his papers; a brief history of the SampTA meetings – of which he was a Founding Member – is also included. The remaining articles are grouped into four sections – classical sampling, theoretical extensions, frame theory, and applications of sampling theory – and explore Higgins’ contributions to these areas, as well as some of the latest developments.

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September 26, 2023

Introduction to Harmonic Analysis

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Free Download Introduction to Harmonic Analysis
by Sáenz, Ricardo A.;
English | 2023 | ISBN: 147047199X | 297 pages | True PDF | 8.02 MB
This book gives a self-contained introduction to the modern ideas and problems of harmonic analysis. Intended for third- and fourth-year undergraduates, the book only requires basic knowledge of real analysis, and covers necessary background in measure theory, Lebesgue integration and approximation theorems. The book motivates the study of harmonic functions by describing the Dirichlet problem, and discussing examples such as solutions to the heat equation in equilibrium, the real and imaginary parts of holomorphic functions, and the minimizing functions of energy. It then leads students through an in-depth study of the boundary behavior of harmonic functions and finishes by developing the theory of harmonic functions defined on fractals domains. The book is designed as a textbook for an introductory course on classical harmonic analysis, or for a course on analysis on fractals. Each chapter contains exercises, and bibliographic and historical notes. The book can also be used as a supplemental text or for self-study.

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