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Acta Numerica is an annual volume presenting survey papers in numerical analysis. Each year the editorial board selects significant topics and invites papers from authors who have made notable contributions to the development of that topic. The articles are intended to summarize the field at a level accessible to graduate students and researchers. Acta Numerica has proved to be a valuable tool not only for researchers and professionals wishing to develop their understanding of the subject and follow developments, but also as an advanced teaching aid at colleges and universities. Articles in previous volumes have been expanded into both monographs and textbooks, and many of the original articles themselves have been used as the prime resource for graduate courses.
This text focuses on understanding concepts rather than on presenting rote procedures, and blends the various topics and applications of contemporary precalculus. Graphical, algebraic and numeric perspectives are provided, offering a broad view of topics.
Life Without Zero : The Power Of Nothing Introduction Imagine a world where zero does not exist. In Numerica, an ancient city nestled between the mountains of Arithmos and the rivers of Algebrion, numbers govern every aspect of life. Yet, the absence of zero creates a cascade of challenges, turning everyday tasks into complex endeavors. "Life Without Zero" follows Lira, a curious young girl, on her quest to uncover the mysteries of this missing concept. Her journey reveals the profound impact of zero on commerce, architecture, science, and timekeeping, revolutionizing Numerica and offering timeless lessons about curiosity and perseverance. Chapter Summaries Chapter 1: The Missing Link Numerica thrives on numbers, but without zero, life is fraught with difficulties. Lira, with her insatiable curiosity, begins to notice these challenges, setting the stage for her transformative journey. Chapter 2: Commerce in Chaos Merchants like Baljit Singh struggle without zero. Lira learns about the complications in trade and commerce, realizing the broader implications of this missing number. Chapter 3: The Architect's Dilemma Architect Lajwanti's designs lack precision without zero. Lira discovers the essential role of zero in stability and balance, crucial for engineering and construction. Chapter 4: The Scholar's Tale Lira's grandfather, Thalos, reveals an ancient manuscript with the symbol of zero, explaining its historical significance and the fear that led to its banishment. Chapter 5: The Timekeeper's Struggle Timekeeper Gurdip struggles to track time accurately without zero. Lira learns about the importance of zero in scheduling and calculating durations. Chapter 6: Lira's Quest Determined to uncover zero's secrets, Lira embarks on a journey across Numerica, gathering knowledge from scholars, merchants, architects, and timekeepers. Chapter 7: The Revelation Lira returns to Numerica, sharing her discoveries at the grand amphitheater. She demonstrates how zero simplifies calculations and brings precision to various fields. Chapter 8: Overcoming Skepticism Initially skeptical, Numerica's citizens gradually accept zero as Lira shows its practical applications. This chapter explores the challenges of changing long-held beliefs. Chapter 9: A New Era Embracing zero, Numerica enters a new era of prosperity. Merchants, architects, and timekeepers marvel at the benefits zero brings to their work. Chapter 10: Lira's Legacy Lira's journey concludes with the realization that her quest was about more than discovering zero. Her legacy teaches future generations the importance of curiosity and exploration. Character Insights Lira: The protagonist, driven by curiosity and determination. Baljit Singh: A merchant struggling with chaotic accounts. Lajwanti: An architect whose work lacks precision. Thalos: Lira's grandfather, a bridge between past knowledge and future discoveries. Gurdip: A timekeeper facing immense challenges. Thematic Elements Curiosity and Knowledge: Lira's journey emphasizes the importance of seeking answers. Perseverance and Courage: Lira's perseverance inspires transformative change. The Power of Zero: The novel explores zero's profound impact on various aspects of life. Significance "Life Without Zero" blends history, mathematics, and adventure, inviting readers to imagine a world without zero. Through Lira's journey, we learn about the power of curiosity and the importance of exploring the unknown. This novel serves as a testament to human ingenuity and the relentless pursuit of understanding, offering something for history lovers, mathematics enthusiasts, and adventure seekers alike.
Once upon a time there lived a girl named Sky and a boy named Bilko, who loved to dance and play tag with the butterflies in the fields. When they were asked how many butterflies and ants they saw, they could not say ... Gloria Kemp and Elsa Murray-Lafrenz have produced a book that helps children learn to count and helps teachers and parents teach numbers to them in a living and fun way. Waldorf teachers, especially, will find this book helpful in bringing numbers to their young students in a way that lives all around them in the natural world.
As the first book of its kind, Nancy Lee Harper’s Portuguese Piano Music: An Introduction and Annotated Bibliography fills the gap in the historical record of Portuguese piano music from its start in the 18th century to the present. While although Spanish piano music is well documented owing to the reputation of such composers as Isaac Albéniz, Enrique Granados, and Manuel de Falla, our knowledge of compositions in the tradition of Portuguese piano music has not fared as well, barring the work of Carlos Seixas (1704–1742). This obscurity, however, reflects poorly on the history of early piano music in light of the many compositions written for fortepiano on behalf of the Portuguese court during the first half of the 18th century. Indeed, it was in the royal halls of King John V during his reign from 1706 to 1750 where the early fortepiano was frequently heard. In Portuguese Piano Music, Harper explores this rich musical tradition, offering a brief introduction to the pianistic history of Portugal and overviews of Portugal’s contributions to solo piano music, piano in instrumental chamber music, piano concerti, piano for multiple pianists including with works with electronics, and didactic piano. While paying close attention to female composers, Harper adds an annotated and graded bibliography that presents readers with a comprehensive inventory of compositions. Appendixes include a selected discography, list of publishers, and other types of critical source information. To further illustrate its contents, Portuguese Piano Music contains a CD on which Harper performs representative repertoire, some of which are world premieres. This work is aimed at pianists, teachers, pupils, musicologists, and music lovers seeking to discover the remarkable world of Portuguese piano music.