The concept of derivatives of non-integer order, known as fractional derivatives, first appeared in the letter between L'Hopital and Leibniz in which the question of a half-order derivative was posed. Since then, many formulations of fractional derivatives have appeared. Recently, a new definition of fractional derivative, called the "fractional conformable derivative," has been introduced. This new fractional derivative is compatible with the classical derivative and it has attracted attention in areas as diverse as mechanics, electronics, and anomalous diffusion. Conformable Dynamic Equations on Time Scales is devoted to the qualitative theory of conformable dynamic equations on time scales. This book summarizes the most recent contributions in this area, and vastly expands on them to conceive of a comprehensive theory developed exclusively for this book. Except for a few sections in Chapter 1, the results here are presented for the first time. As a result, the book is intended for researchers who work on dynamic calculus on time scales and its applications. Features Can be used as a textbook at the graduate level as well as a reference book for several disciplines Suitable for an audience of specialists such as mathematicians, physicists, engineers, and biologists Contains a new definition of fractional derivative About the Authors Douglas R. Anderson is professor and chair of the mathematics department at Concordia College, Moorhead. His research areas of interest include dynamic equations on time scales and Ulam-type stability of difference and dynamic equations. He is also active in investigating the existence of solutions for boundary value problems. Svetlin G. Georgiev is currently professor at Sorbonne University, Paris, France and works in various areas of mathematics. He currently focuses on harmonic analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, dynamic calculus on time scales, and integral equations.

The concept of derivatives of non-integer order, known as fractional derivatives, first appeared in the letter between L'Hopital and Leibniz in which the question of a half-order derivative was posed. Since then, many formulations of fractional derivatives have appeared. Recently, a new definition of fractional derivative, called the "fractional conformable derivative," has been introduced. This new fractional derivative is compatible with the classical derivative and it has attracted attention in areas as diverse as mechanics, electronics, and anomalous diffusion. Conformable Dynamic Equations on Time Scales is devoted to the qualitative theory of conformable dynamic equations on time scales. This book summarizes the most recent contributions in this area, and vastly expands on them to conceive of a comprehensive theory developed exclusively for this book. Except for a few sections in Chapter 1, the results here are presented for the first time. As a result, the book is intended for researchers who work on dynamic calculus on time scales and its applications. Features Can be used as a textbook at the graduate level as well as a reference book for several disciplines Suitable for an audience of specialists such as mathematicians, physicists, engineers, and biologists Contains a new definition of fractional derivative About the Authors Douglas R. Anderson is professor and chair of the mathematics department at Concordia College, Moorhead. His research areas of interest include dynamic equations on time scales and Ulam-type stability of difference and dynamic equations. He is also active in investigating the existence of solutions for boundary value problems. Svetlin G. Georgiev is currently professor at Sorbonne University, Paris, France and works in various areas of mathematics. He currently focuses on harmonic analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, dynamic calculus on time scales, and integral equations.

Several recent investigations have focused attention on spaces and manifolds which are non-compact but where the problems studied have some kind of "control near infinity." This monograph introduces the category of spaces that are "boundedly controlled" over the (usually non-compact) metric space Z. It sets out to develop the algebraic and geometric tools needed to formulate and to prove boundedly controlled analogues of many of the standard results of algebraic topology and simple homotopy theory. One of the themes of the book is to show that in many cases the proof of a standard result can be easily adapted to prove the boundedly controlled analogue and to provide the details, often omitted in other treatments, of this adaptation. For this reason, the book does not require of the reader an extensive background. In the last chapter it is shown that special cases of the boundedly controlled Whitehead group are strongly related to lower K-theoretic groups, and the boundedly controlled theory is compared to Siebenmann's proper simple homotopy theory when Z = IR or IR2.

The essays in this book have grown out of conversations between the authors and their colleagues and students over the last decade and a half. Their germinal question concerned the ways in which Charles Sanders Peirce was and was not both an idealist and a realist. The dialogue began as an exploration of Peirce's explicit uses of these ideas and then turned to consider the way in which answers to the initial question shed light on other dimensions of Peirce's architectonic.
The essays explore the nature of semiotic interpretation, perception, and inquiry. Moreover, considering the roles of idealism and realism in Peirce's thought led to considerations of Peirce's place in the historical development of pragmatism. The authors find his realism turning sharply against the nominalistic conceptions of science endorsed both explicitly and implicitly by his nonpragmatist contemporaries. And they find his version of pragmatism holding a middle ground between the thought of John Dewey and Josiah Royce. The essays aims to invite others to consider the import of these central themes of Peircean thought.

This book traces the trajectory of John J. McDermottas philosophical career through a selection of his essays. Many were originally occasional pieces and address specific issues in American thought and culture. Together they constitute a mosaic of McDermottas philosophy, showing its roots in an American conception of experience. Though he draws heavily on the thought of William James and the pragmatists, McDermott has his own unique perspective on philosophy and American life. He presents this to the reader in exquisitely crafted prose. Drawing inspiration from American history, from existentialist themes, and from personal experiences, he offers a dramatic consideration of our cultureas failures and successes.McDermott crosses disciplinary boundaries to draw on whatever works to help make sense of theissues with which he is dealingaissues rooted in medical practice, political events, pedagogical habits, and the worlds of the arts. His work thus resists simple categorization. It is precisely this that makes his vibrant prose appealing to so many both inside and outside the world of American philosophy.

In this engaging book, Douglas Anderson begins with the assumption that philosophyathe Greek love of wisdomais alive and well in American culture. At the same time, professional philosophy remains relatively invisible. Anderson traverses American life to find places in the wider culture where professional philosophy in the distinctively American tradition can strike up a conversation. How might American philosophers talk to us about our religious experience, or political engagement, or literatureaor even, popular music? Andersonas second aim is to find places where philosophy happens in nonprofessional guisesacultural places such as country music, rockan roll, and Beat literature. He not only enlarges the tradition of American philosophers such as John Dewey and William James by examining lesser-known figures such as Henry Bugbee and Thomas Davidson, but finds the theme and ideas of American philosophy in some unexpected places, such as the music of Hank Williams, Tammy Wynette, and Bruce Springsteen, and the writingsof Jack Kerouac.The idea of aphilosophy Americanaa trades on the emergent genre of amusic Americana, a rooted in traditional themes and styles yet engaging our present experiences. The music is apopulara but not thoroughly driven by economic considerations, and Anderson seeks out an analogous role for philosophical practice, where philosophy and popular culture are co-adventurers in the life of ideas. Philosophy Americana takes seriously Emersonas quest for the extraordinary in the ordinary and Jamesas belief that popular philosophy can still be philosophy.

This collection of essays aims to mark a place for American philosophy as it moves into the twenty-first century. Taking their cue from the work of Peirce, James, Santayana, Dewey, Mead, Buchler, and others, the contributors assess and employ philosophy as an activity taking place within experience and culture. Within the broad background of the American tradition, the essays reveal a variety of approaches to the transition in which American philosophy is currently engaged. Some of the pieces argue from an historical dialogue with the tradition, some are more polemically involved with American philosophy's current status among the contemporary philosophical "schools," and still others seek to reveal the possibilities for the future of American philosophy. In thus addressing past, present, and future, the pieces, taken together, outline a trajectory for American philosophy that reinvents its importance from a new angle of vision.

This collection of essays aims to mark a place for American philosophy as it moves into the twenty-first century. Taking their cue from the work of Peirce, James, Santayana, Dewey, Mead, Buchler, and others, the contributors assess and employ philosophy as an activity taking place within experience and culture. Within the broad background of the American tradition, the essays reveal a variety of approaches to the transition in which American philosophy is currently engaged. Some of the pieces argue from an historical dialogue with the tradition, some are more polemically involved with American philosophy's current status among the contemporary philosophical "schools," and still others seek to reveal the possibilities for the future of American philosophy. In thus addressing past, present, and future, the pieces, taken together, outline a trajectory for American philosophy that reinvents its importance from a new angle of vision.

Known as the working man's poet, the Boardwalk prophet, or simply, the Boss. If "love is a banquet at which we feed," Bruce Springsteen has provided much food for thought. In this collection of metaphysical probes, a gang of E-street philosophers will undress Bruce's deeper mysteries like irresistible Jersey girls. Can Springsteen settle the nature-nurture debate through his song "Born to Run"? What do the famous philosopher Ricuoer and Springsteen have in common in their depiction of time? These die-hard Springsteen fans, who just happen to be philosophers, compile an entertaining handbook to the field of Springsteen studies, covering topics like Springsteen's connection to Marx and the proletariat, Springsteen's concept of the soul, and his status as a poet.

This book traces the trajectory of John J. McDermottas philosophical career through a selection of his essays. Many were originally occasional pieces and address specific issues in American thought and culture. Together they constitute a mosaic of McDermottas philosophy, showing its roots in an American conception of experience. Though he draws heavily on the thought of William James and the pragmatists, McDermott has his own unique perspective on philosophy and American life. He presents this to the reader in exquisitely crafted prose. Drawing inspiration from American history, from existentialist themes, and from personal experiences, he offers a dramatic consideration of our cultureas failures and successes.McDermott crosses disciplinary boundaries to draw on whatever works to help make sense of theissues with which he is dealingaissues rooted in medical practice, political events, pedagogical habits, and the worlds of the arts. His work thus resists simple categorization. It is precisely this that makes his vibrant prose appealing to so many both inside and outside the world of American philosophy.

In this engaging book, Douglas Anderson begins with the assumption that philosophyathe Greek love of wisdomais alive and well in American culture. At the same time, professional philosophy remains relatively invisible. Anderson traverses American life to find places in the wider culture where professional philosophy in the distinctively American tradition can strike up a conversation. How might American philosophers talk to us about our religious experience, or political engagement, or literatureaor even, popular music? Andersonas second aim is to find places where philosophy happens in nonprofessional guisesacultural places such as country music, rockan roll, and Beat literature. He not only enlarges the tradition of American philosophers such as John Dewey and William James by examining lesser-known figures such as Henry Bugbee and Thomas Davidson, but finds the theme and ideas of American philosophy in some unexpected places, such as the music of Hank Williams, Tammy Wynette, and Bruce Springsteen, and the writingsof Jack Kerouac.The idea of aphilosophy Americanaa trades on the emergent genre of amusic Americana, a rooted in traditional themes and styles yet engaging our present experiences. The music is apopulara but not thoroughly driven by economic considerations, and Anderson seeks out an analogous role for philosophical practice, where philosophy and popular culture are co-adventurers in the life of ideas. Philosophy Americana takes seriously Emersonas quest for the extraordinary in the ordinary and Jamesas belief that popular philosophy can still be philosophy.

Neil Young and Philosophy, edited by Douglas L. Berger, explores the meaning, importance, and philosophical dimensions of the music, career, and life of this prolific singer/songwriter over the past five decades. Scholars from a wide variety of fields come together in this collection to examine everything from Young's environmentalism, invocation of American Indian themes, images of women, and interpretations of human relationships to his confrontations with the music industry, his approach to social change, and his methods of creativity. The book builds on the fundamental commitment of the Philosophy and Popular Culture series to see the artist as a philosopher.