Advanced Calculus: An Introduction to Modem Analysis, an advanced undergraduate textbook,provides mathematics majors, as well as students who need mathematics in their field of study,with an introduction to the theory and applications of elementary analysis. The text presents, inan accessible form, a carefully maintained balance between abstract concepts and applied results ofsignificance that serves to bridge the gap between the two- or three-cemester calculus sequence andsenior/graduate level courses in the theory and appplications of ordinary and partial differentialequations, complex variables, numerical methods, and measure and integration theory.The book focuses on topological concepts, such as compactness, connectedness, and metric spaces,and topics from analysis including Fourier series, numerical analysis, complex integration, generalizedfunctions, and Fourier and Laplace transforms. Applications from genetics, spring systems,enzyme transfer, and a thorough introduction to the classical vibrating string, heat transfer, andbrachistochrone problems illustrate this book's usefulness to the non-mathematics major. Extensiveproblem sets found throughout the book test the student's understanding of the topics andhelp develop the student's ability to handle more abstract mathematical ideas.Advanced Calculus: An Introduction to Modem Analysis is intended for junior- and senior-levelundergraduate students in mathematics, biology, engineering, physics, and other related disciplines.An excellent textbook for a one-year course in advanced calculus, the methods employed in thistext will increase students' mathematical maturity and prepare them solidly for senior/graduatelevel topics. The wealth of materials in the text allows the instructor to select topics that are ofspecial interest to the student. A two- or three ll?lester calculus sequence is required for successfuluse of this book.

Advanced Calculus: An Introduction to Modem Analysis, an advanced undergraduate textbook,provides mathematics majors, as well as students who need mathematics in their field of study,with an introduction to the theory and applications of elementary analysis. The text presents, inan accessible form, a carefully maintained balance between abstract concepts and applied results ofsignificance that serves to bridge the gap between the two- or three-cemester calculus sequence andsenior/graduate level courses in the theory and appplications of ordinary and partial differentialequations, complex variables, numerical methods, and measure and integration theory.The book focuses on topological concepts, such as compactness, connectedness, and metric spaces,and topics from analysis including Fourier series, numerical analysis, complex integration, generalizedfunctions, and Fourier and Laplace transforms. Applications from genetics, spring systems,enzyme transfer, and a thorough introduction to the classical vibrating string, heat transfer, andbrachistochrone problems illustrate this book's usefulness to the non-mathematics major. Extensiveproblem sets found throughout the book test the student's understanding of the topics andhelp develop the student's ability to handle more abstract mathematical ideas.Advanced Calculus: An Introduction to Modem Analysis is intended for junior- and senior-levelundergraduate students in mathematics, biology, engineering, physics, and other related disciplines.An excellent textbook for a one-year course in advanced calculus, the methods employed in thistext will increase students' mathematical maturity and prepare them solidly for senior/graduatelevel topics. The wealth of materials in the text allows the instructor to select topics that are ofspecial interest to the student. A two- or three ll?lester calculus sequence is required for successfuluse of this book.

(Ensemble Collection). This classic series of duets for like instruments is recognizable to nearly everyone who has ever studied an instrument. The wealth of material supplements musical development and provides a rich experience for growing musicians. Duet playing is often a student's first form of ensemble experience - technique, tone quality, intonation and balance are introduced as students do one of the things they enjoy most - making music with a friend. And duet playing leads easily and naturally to competent performance in larger ensembles. (Vol. I Easy to Medium, Vol. 2 Medium to Advanced)

An outlined course of study designed to follow the elementary and intermediate levels of any instructional method, the Rubank Advanced Methods are considered to be one of the gold standards of advanced instrumental study. The specially designed units provide a a complete pedagogy: * Scales and Arpeggios All of the major and minor keys are covered in the complete two-book course * Melodic Interpretation Including 20+ contest level duets in each book * Solo Preparation Six contest level solos included * Articulation Studies Specialized for each instrument * Exercises in Fingering (woodwinds), Flexibility (brass) and Sticking (percussion) * Ornamentation All types are introduced Generations of musicians have been taught with Rubank methods - join the tradition!

This classic series of duets for like instruments is recognizable to nearly everyone who has ever studied an instrument. The wealth of material supplements musical development and provides a rich experience for growing musicians. Duet playing is often a student's first form of ensemble experience - technique, tone quality, intonation and balance are introduced as students do one of the things they enjoy most - making music with a friend. And duet playing leads easily and naturally to competent performance in larger ensembles. (Vol. I - Easy to Medium, Vol. 2 - Medium to Advanced)

This top-rated collection of solo literature from the celebrated Rubank catalog is known by teachers and students everywhere. Each book offers a superb variety of solos customized for that instrument, and most state solo/ensemble contest lists include several solos from this collection. (Solo part sold separately.) Now available: Performance/Accompaniment CD (04002513) Solo Book with Performance/Accompaniment CD (04002514) Now students can perform these acclaimed solos with high quality recordings. Includes full performances by professional players, as well as piano accompaniment tracks.

An outlined course of study designed to follow the elementary and intermediate levels of any instructional method, the Rubank Advanced Methods are considered to be one of the gold standards of advanced instrumental study. The specially designed units provide a a complete pedagogy: * Scales and Arpeggios All of the major and minor keys are covered in the complete two-book course * Melodic Interpretation Including 20+ contest level duets in each book * Solo Preparation Six contest level solos included * Articulation Studies Specialized for each instrument * Exercises in Fingering (woodwinds), Flexibility (brass) and Sticking (percussion) * Ornamentation All types are introduced Generations of musicians have been taught with Rubank methods - join the tradition!

An outlined course of study designed to follow the elementary and intermediate levels of any instructional method, the Rubank Advanced Methods are considered to be one of the gold standards of advanced instrumental study. The specially designed units provide a a complete pedagogy: * Scales and Arpeggios All of the major and minor keys are covered in the complete two-book course * Melodic Interpretation Including 20+ contest level duets in each book * Solo Preparation Six contest level solos included * Articulation Studies Specialized for each instrument * Exercises in Fingering (woodwinds), Flexibility (brass) and Sticking (percussion) * Ornamentation All types are introduced Generations of musicians have been taught with Rubank methods - join the tradition!

(Ensemble Collection). This classic series of duets for like instruments is recognizable to nearly everyone who has ever studied an instrument. The wealth of material supplements musical development and provides a rich experience for growing musicians. Duet playing is often a student's first form of ensemble experience - technique, tone quality, intonation and balance are introduced as students do one of the things they enjoy most - making music with a friend. And duet playing leads easily and naturally to competent performance in larger ensembles. (Vol. I Easy to Medium, Vol. 2 Medium to Advanced)

(Advanced Band Method). An outlined course of study designed to follow the elementary and intermediate levels of any instructional method, the Rubank Advanced Methods are considered to be one of the gold standards of advanced instrumental study. The specially designed units provide a a complete pedagogy: * Scales and Arpeggios All of the major and minor keys are covered in the complete two-book course * Melodic Interpretation Including 20+ contest level duets in each book * Solo Preparation Six contest level solos included * Articulation Studies Specialized for each instrument * Exercises in Fingering (woodwinds), Flexibility (brass) and Sticking (percussion) * Ornamentation All types are introduced Generations of musicians have been taught with Rubank methods join the tradition!

This classic series of duets for like instruments is recognizable to nearly everyone who has ever studied an instrument. The wealth of material supplements musical development and provides a rich experience for growing musicians. Duet playing is often a student's first form of ensemble experience - technique, tone quality, intonation and balance are introduced as students do one of the things they enjoy most - making music with a friend. And duet playing leads easily and naturally to competent performance in larger ensembles. (Vol. I - Easy to Medium, Vol. 2 - Medium to Advanced)

The next step for students who have completed the advanced level method for their instrument. The full-page etudes in this series, key-centered and supported by scale and arpeggio exercises, take the student to that next level of performance wherein their accumulated skills allow them to play full-length performance pieces with a high level of musicianship and competence. As such, many states include these pieces in their all-state audition lists.