This concisely written book gives an elementary introduction to a classical area of mathematics—approximation theory—in a way that naturally leads to the modern field of wavelets. The exposition, driven by ideas rather than technical details and proofs, demonstrates the dynamic nature of mathematics and the influence of classical disciplines on many areas of modern mathematics and applications. Key features and topics: * Description of wavelets in words rather than mathematical symbols * Elementary introduction to approximation using polynomials (Weierstrass’ and Taylor’s theorems) * Introduction to infinite series, with emphasis on approximation-theoretic aspects * Introduction to Fourier analysis * Numerous classical, illustrative examples and constructions * Discussion of the role of wavelets in digital signal processing and data compression, such as the FBI’s use of wavelets to store fingerprints * Minimal prerequisites: elementary calculus * Exercises that may be used in undergraduate and graduate courses on infinite series and Fourier series Approximation Theory: From Taylor Polynomials to Wavelets will be an excellent textbook or self-study reference for students and instructors in pure and applied mathematics, mathematical physics, and engineering. Readers will find motivation and background material pointing toward advanced literature and research topics in pure and applied harmonic analysis and related areas.

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

MuVi6 is the sixth edition of the publication dedicated to Visual Music – following MuVi (Granada, 2007), MuVi2 (Granada, 2009), MuVi3 (Almería, 2012), MuVi4 (Alcalá la Real, Jaén, 2015), MuVi5 (Granada and Alcalá la Real, Jaén, 2018) – an event integrated with the VII International Congress: “Synesthesia: Science and Art”, held from the 26th to 29th of October 2022, at the Faculty of Fine Arts of the University of Granada and at the Convento de Capuchinos in Alcalá la Real (Jaén), Spain. This event confirms its primary objective of providing perceivable, aesthetic (and synaesthetic) feedback on the theoretical contents addressed at the conference through lectures, debates and posters, proving over time, in the editions that have followed, to be capable of stimulating debate This particular edition, in line with the conference, aims to underline the challenge between the digital and the material: this is the interpretative key that we asked of both the authors of the preliminary essays anticipating the collection of works, and the authors of the video projects. Hybridisation was expressed on several levels, which can be summarised in two main trends: in the sources, where nature and the kinematics of the elements, e.g. liquids or gasses, are a source of inspiration; or in the hybridisation of techniques where the material and the digital alternate. Each edition surprises us with the richness of the productions, with increasingly complex compositional and technical solutions, undoubtedly facilitated by the evolution of audio/video software and visual programming languages that facilitate new aesthetic experiments. The sound/visual relationships are therefore as much the result of a perceptual analysis as of an algorithmic application that can escape the control of the perceivable

This compelling collection of inspiring case studies from community arts projects in five countries will inform and inspire students, artists, and activists. ¡VIVA! is the product of a five-year transnational research project that integrates place, politics, passion, and praxis. Framed by postcolonial theories of decolonization, the pedagogy of the oppressed articulated by Brazilian educator Paulo Freire, and the burgeoning field of community arts, this collection not only analyzes the dynamic integration of the critical and the creative in social justice movements, it embodies such a praxis. Learn from Central America: Kuna children's art workshops, a community television station in Nicaragua, a cultural marketplace in Guadalajara, Mexico, community mural production in Chiapas; and from North America: arts education in Los Angeles inner-city schools, theater probing ancestral memory, community plays with over one hundred participants, and training programs for young artists in Canada. These practices offer critical hope for movements hungry for new ways of knowing and expressing histories, identities, and aspirations, as well as mobilizing communities for social transformation. Beautifully illustrated with more than one hundred color photographs, the book also includes a DVD with videos that bring the projects to life.

"Theories of the Nonobject investigates the crisis of the sculptural and painterly object in the concrete, neoconcrete, and constructivist practices of artists in Argentina, Brazil, and Venezuela, with case studies of specific movements, artists, and critics. Amor traces their role in the significant reconceptualization of the artwork that Brazilian critic and poet Ferreira Gullar heralded in 'Theory of the Nonobject' in 1959, with specific attention to a group of major art figures including Lygia Clark, Hélio Oiticica, and Gego, whose work proposed engaged forms of spectatorship that dismissed medium-based understandings of art. Exploring the philosophical, economic, and political underpinnings of geometric abstraction in post-World War II South America, Amor highlights the overlapping inquiries of artists and critics who, working on the periphery of European and US modernism, contributed to a sophisticated conversation about the nature of the art object"--Provided by publisher.

Arvey Foundation Book Award, Association for Latin American Art, 2018 Many Latin American artists and critics in the 1920s drew on the values of modernism to question the cultural authority of Europe. Modernism gave them a tool for coping with the mobility of their circumstances, as well as the inspiration for works that questioned the very concepts of the artist and the artwork and opened the realm of art to untrained and self-taught artists, artisans, and women. Writing about the modernist works in newspapers and magazines, critics provided a new vocabulary with which to interpret and assign value to the expanding sets of abstracted forms produced by these artists, whose lives were shaped by mobility. The Mobility of Modernism examines modernist artworks and criticism that circulated among a network of cities, including Buenos Aires, Mexico City, Havana, and Lima. Harper Montgomery maps the dialogues and relationships among critics who published in avant-gardist magazines such as Amauta and Revista de Avance and artists such as Carlos Mérida, Xul Solar, and Emilio Pettoruti, among others, who championed esoteric forms of abstraction. She makes a convincing case that, for these artists and critics, modernism became an anticolonial stance which raised issues that are still vital today—the tensions between the local and the global, the ability of artists to speak for blighted or unincorporated people, and, above all, how advanced art and its champions can enact a politics of opposition.