An exciting and innovative intermediate piano method written to fill the need of students who have completed a beginning piano method and/or are ready to study the classics. Each collection comes with a study guide that emphasize analysis and enable students to understand the elements of music theory in each piece thus facilitating the learning and memorizing process. The music is arranged in order of musical period and is in their original form.

An exciting and innovative intermediate piano method written to fill the need of students who have completed a beginning piano method and/or are ready to study the classics. Each collection comes with a study guide that emphasize analysis and enable students to understand the elements of music theory in each piece thus facilitating the learning and memorizing process. The music is arranged in order of musical period and is in their original form.

An exciting and innovative intermediate piano method written to fill the need of students who have completed a beginning piano method and/or are ready to study the classics. Each collection comes with a study guide that emphasize analysis and enable students to understand the elements of music theory in each piece thus facilitating the learning and memorizing process. The music is arranged in order of musical period and is in their original form.

An exciting and innovative intermediate piano method written to fill the need of students who have completed a beginning piano method and/or are ready to study the classics. Each collection comes with a study guide that emphasize analysis and enable students to understand the elements of music theory in each piece thus facilitating the learning and memorizing process. The music is arranged in order of musical period and is in their original form.

The scientific story of first impressions—and why the snap character judgments we make from faces are irresistible but usually incorrect We make up our minds about others after seeing their faces for a fraction of a second—and these snap judgments predict all kinds of important decisions. For example, politicians who simply look more competent are more likely to win elections. Yet the character judgments we make from faces are as inaccurate as they are irresistible; in most situations, we would guess more accurately if we ignored faces. So why do we put so much stock in these widely shared impressions? What is their purpose if they are completely unreliable? In this book, Alexander Todorov, one of the world's leading researchers on the subject, answers these questions as he tells the story of the modern science of first impressions. Drawing on psychology, cognitive science, neuroscience, computer science, and other fields, this accessible and richly illustrated book describes cutting-edge research and puts it in the context of the history of efforts to read personality from faces. Todorov describes how we have evolved the ability to read basic social signals and momentary emotional states from faces, using a network of brain regions dedicated to the processing of faces. Yet contrary to the nineteenth-century pseudoscience of physiognomy and even some of today's psychologists, faces don't provide us a map to the personalities of others. Rather, the impressions we draw from faces reveal a map of our own biases and stereotypes. A fascinating scientific account of first impressions, Face Value explains why we pay so much attention to faces, why they lead us astray, and what our judgments actually tell us.

This collection of classic intermediate literature contains pieces from the four style periods. Theoretical elements are highlighted to hasten the evaluation and presentation of each piece.

Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter — the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters; also, some problems resistant to numerical solutions may yield to perturbation methods. In fact, numerical and perturbation methods can be combined in a complementary way. The text opens with a well-defined treatment of finding the roots of polynomials whose coefficients contain a small parameter. Proceeding to differential equations, the authors explain many techniques for handling perturbations that reorder the equations or involve an unbounded independent variable. Two disparate practical problems that can be solved efficiently with perturbation methods conclude the volume. Written in an informal style that moves from specific examples to general principles, this elementary text emphasizes the "why" along with the "how"; prerequisites include a knowledge of one-variable calculus and ordinary differential equations. This newly revised second edition features an additional appendix concerning the approximate evaluation of integrals.