This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student. The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs, to end with short compositions. These may represent the introduction of a concept, the abstract of a presentation or the proof of a theorem. Along the way the student will learn how to establish a coherent notation, mix words and symbols effectively, write neat formulae, and structure a definition. Some elements of logic and all common methods of proofs are featured, including various versions of induction and existence proofs. The book concludes with advice on specific aspects of thesis writing (choosing of a title, composing an abstract, compiling a bibliography) illustrated by large number of real-life examples. Many exercises are included; over 150 of them have complete solutions, to facilitate self-study. Mathematical Writing will be of interest to all mathematics students who want to raise the quality of their coursework, reports, exams, and dissertations.
As discrete mathematics rapidly becomes a required element of undergraduate mathematics programs, algebraic software systems replace compiled languages and are now most often the computational tool of choice. Newcomers to university level mathematics, therefore, must not only grasp the fundamentals of discrete mathematics, they must also learn to use an algebraic manipulator and develop skills in abstract reasoning. Experimental Mathematics with MAPLE uniquely responds to these needs. Following an emerging trend in research, it places abstraction and axiomatization at the end of a learning process that begins with computer experimentation. It introduces the foundations of discrete mathematics and, assuming no previous knowledge of computing, gradually develops basic computational skills using the latest version of the powerful MAPLE® software. The author's approach is to expose readers to a large number of concrete computational examples and encourage them to isolate the general from the particular, to synthesize computational results, formulate conjectures, and attempt rigorous proofs. Using this approach, Experimental Mathematics with MAPLE enables readers to build a foundation in discrete mathematics, gain valuable experience with algebraic computing, and develop a familiarity with basic abstract concepts, notation, and jargon. Its engaging style, numerous exercises and examples, and Internet posting of selected solutions and MAPLE worksheets make this text ideal for use both in the classroom and for self-study.
Since the eighteenth century, violin concertos have provided a showcase for dramatic interplay between a soloist’s virtuosity and the blended sonority of an orchestra’s many instruments. Using this genre to showcase skill and ingenuity, composers cemented the violin concerto as a key genre of classical music and gifted our ears with such timeless masterpieces as Vivaldi’s Four Seasons. In Experiencing the Violin Concerto, Franco Sciannameo draws on his years of scholarship and violin performance to trace the genre through Baroque, Classical, and modern periods. Along the way, he explores the social and personal histories of composers, and the fabulous virtuosi who performed concertos, and audiences they conquered worldwide. Inviting readers to consider not only the components of the music but also the power of perception and experience, Sciannameo recreates the atmosphere of a live performance as he paints a narrative history of technique and innovation. Experiencing the Violin Concerto uses descriptions in place of technical jargon to make the world of classical music accessible to amateur music lovers. As part of the Listener’s Companion series, the volume gives readers an enhanced experience of key works by investigating the environments in which the works were written and first performed as well as those in which they are enjoyed today.
As discrete mathematics rapidly becomes a required element of undergraduate mathematics programs, algebraic software systems replace compiled languages and are now most often the computational tool of choice. Newcomers to university level mathematics, therefore, must not only grasp the fundamentals of discrete mathematics, they must also learn to use an algebraic manipulator and develop skills in abstract reasoning. Experimental Mathematics with MAPLE uniquely responds to these needs. Following an emerging trend in research, it places abstraction and axiomatization at the end of a learning process that begins with computer experimentation. It introduces the foundations of discrete mathematics and, assuming no previous knowledge of computing, gradually develops basic computational skills using the latest version of the powerful MAPLE® software. The author's approach is to expose readers to a large number of concrete computational examples and encourage them to isolate the general from the particular, to synthesize computational results, formulate conjectures, and attempt rigorous proofs. Using this approach, Experimental Mathematics with MAPLE enables readers to build a foundation in discrete mathematics, gain valuable experience with algebraic computing, and develop a familiarity with basic abstract concepts, notation, and jargon. Its engaging style, numerous exercises and examples, and Internet posting of selected solutions and MAPLE worksheets make this text ideal for use both in the classroom and for self-study.
This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student. The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs, to end with short compositions. These may represent the introduction of a concept, the abstract of a presentation or the proof of a theorem. Along the way the student will learn how to establish a coherent notation, mix words and symbols effectively, write neat formulae, and structure a definition. Some elements of logic and all common methods of proofs are featured, including various versions of induction and existence proofs. The book concludes with advice on specific aspects of thesis writing (choosing of a title, composing an abstract, compiling a bibliography) illustrated by large number of real-life examples. Many exercises are included; over 150 of them have complete solutions, to facilitate self-study. Mathematical Writing will be of interest to all mathematics students who want to raise the quality of their coursework, reports, exams, and dissertations.
Since the eighteenth century, violin concertos have provided a showcase for dramatic interplay between a soloist’s virtuosity and the blended sonority of an orchestra’s many instruments. Using this genre to showcase skill and ingenuity, composers cemented the violin concerto as a key genre of classical music and gifted our ears with such timeless masterpieces as Vivaldi’s Four Seasons. In Experiencing the Violin Concerto, Franco Sciannameo draws on his years of scholarship and violin performance to trace the genre through Baroque, Classical, and modern periods. Along the way, he explores the social and personal histories of composers, and the fabulous virtuosi who performed concertos, and audiences they conquered worldwide. Inviting readers to consider not only the components of the music but also the power of perception and experience, Sciannameo recreates the atmosphere of a live performance as he paints a narrative history of technique and innovation. Experiencing the Violin Concerto uses descriptions in place of technical jargon to make the world of classical music accessible to amateur music lovers. As part of the Listener’s Companion series, the volume gives readers an enhanced experience of key works by investigating the environments in which the works were written and first performed as well as those in which they are enjoyed today.
This volume contains original, refereed worldwide contributions. They were prompted by presentations made at the ninth AMCTM Conference held in Goteborg (Sweden) in June 2011 on the theme of advanced mathematical and computational tools in metrology and also, in the title of this book series, in testing. The themes in this volume reflect the importance of the mathematical, statistical and numerical tools and techniques in metrology and testing and, also in keeping the challenge promoted by the Metre Convention, to access a mutual recognition for the measurement standards.
A single text that incorporates all of the theoretical principles and practical aspects of planar transmission line devices - since the early development of striplines, it has been sought by countless microwave engineers, researchers, and students. With the publication of Networks and Devices Using Planar Transmission Lines, the search for that one authoritative resource is over. This is more than just a handbook, much more than a theoretical treatment. It's the ideal integration of the theory and applications of planar transmission lines and devices. Striplines, microstrips, slot lines, coplanar waveguides and strips, phase shifters, hybrids, and more - the author examines them all. For each type of structure, his treatment is complete and self-contained, including: Geometric characteristics Electric and magnetic field lines Solution techniques for the electromagnetic problem Quasi-static, coupled modes, and full wave analysis methods Design equations Attenuation Practical considerations Of particular interest is the author's comprehensive treatment of planar ferrimagnetic devices, such as phase shifters, isolators, and circulators, and three appendices dedicated to the theoretical aspects of ferrimagetism. Five other appendices provide thorough reviews of various theoretical concepts implicit in the body of the work, such as wave theory, the external properties of networks, and resonant circuits.
Poetry. Translated from the Italian by Andrew Frisardi. After World War II dialect poetry became widespread in Italy, withthe Milanese poet Franco Loi being one of its most prominent and masterful practitioners. In the 1970s, a leading critic called Loi "the most powerful poetic personality of recent years," and since then Loi has been considered one of the most distinguished living Italian poets. The present volume, translated and edited by Andrew Frisardi, provides a selection of Loi's shorter lyrical poems, drawn from the full span of his career, as well as an extraordinary interview with Loi in which he discusses poetry, religion, politics, writing in dialect, and the shaping experience of living through wartime Milan.
Many guitarists contend that tablature is easier to read than standard notation. This book offers progressively more difficult selections from the classic guitar repertoire in both formats featuring introductory remarks in English, Spanish, French, German, Japanese, and Chinese. Composers include: Aguado, Bach, Dowland, Milan, Nervaez, Purcell, Sor, Tarrega, and others.
A History of Siena provides a concise and up-to-date biography of the city, from its ancient and medieval development up to the present day, and makes Siena’s history, culture, and traditions accessible to anyone studying or visiting the city. Well informed by archival research and recent scholarship on medieval Siena and the Italian city-states, this book places Siena’s development in its larger context, both temporally and geographically. In the process, this book offers new interpretations of Siena’s artistic, political, and economic development, highlighting in particular the role of pilgrimage, banking, and class conflict. The second half of the book provides an important analysis of the historical development of Siena’s nobility, its unique system of neighborhood associations (contrade) and the race of the Palio, as well as an overview of the rise and fall of Siena’s troubled bank, the Monte dei Paschi. This book is accessible to undergraduates and tourists, while also offering plenty of new insights for graduate students and scholars of all periods of Sienese history.
The author, one of the most influential Latin Americanists in the US, has published a number of books, but none display the importance of her work in literary criticism, cultural studies and marxist and feminist theory as successfully as this collection o
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