Author: Peter Hallward
Publisher: Verso Books
ISBN: 1844679322
Category : Philosophy
Languages : en
Pages : 809
Book Description
Concept and Form is a two-volume monument to the work of the philosophy journal the Cahiers pour l’Analyse (1966–69), the most ambitious and radical collective project to emerge from French structuralism. Inspired by their teachers Louis Althusser and Jacques Lacan, the editors of the Cahiers sought to sever philosophy from the interpretation of given meanings or experiences, focusing instead on the mechanisms that structure specific configurations of discourse, from the psychological and ideological to the literary, scientific, and political. Adequate analysis of the operations at work in these configurations, they argue, helps prepare the way for their revolutionary transformation. The first volume comprises English translations of some of the most important theoretical texts published in the journal, written by thinkers who would soon be counted among the most inventive and influential of their generation. The second volume collects newly commissioned essays on the journal, together with recent interviews with people who were either members of its editorial board or associated with its broader theoretical project. Contributors include Alain Badiou, Étienne Balibar, Edward Baring, Jacques Bouveresse, Yves Duroux, Alain Grosrichard, Peter Hallward, Adrian Johnston, Serge Leclaire, Patrice Maniglier, Tracy McNulty, Jacques-Alain Miller, Jean-Claude Milner, Knox Peden, Jacques Rancière, François Regnault, and Slavoj Žižek.
Concept and Form, Volumes 1 and 2
Author: Peter Hallward
Publisher: Verso Books
ISBN: 1844679322
Category : Philosophy
Languages : en
Pages : 809
Book Description
Concept and Form is a two-volume monument to the work of the philosophy journal the Cahiers pour l’Analyse (1966–69), the most ambitious and radical collective project to emerge from French structuralism. Inspired by their teachers Louis Althusser and Jacques Lacan, the editors of the Cahiers sought to sever philosophy from the interpretation of given meanings or experiences, focusing instead on the mechanisms that structure specific configurations of discourse, from the psychological and ideological to the literary, scientific, and political. Adequate analysis of the operations at work in these configurations, they argue, helps prepare the way for their revolutionary transformation. The first volume comprises English translations of some of the most important theoretical texts published in the journal, written by thinkers who would soon be counted among the most inventive and influential of their generation. The second volume collects newly commissioned essays on the journal, together with recent interviews with people who were either members of its editorial board or associated with its broader theoretical project. Contributors include Alain Badiou, Étienne Balibar, Edward Baring, Jacques Bouveresse, Yves Duroux, Alain Grosrichard, Peter Hallward, Adrian Johnston, Serge Leclaire, Patrice Maniglier, Tracy McNulty, Jacques-Alain Miller, Jean-Claude Milner, Knox Peden, Jacques Rancière, François Regnault, and Slavoj Žižek.
Publisher: Verso Books
ISBN: 1844679322
Category : Philosophy
Languages : en
Pages : 809
Book Description
Concept and Form is a two-volume monument to the work of the philosophy journal the Cahiers pour l’Analyse (1966–69), the most ambitious and radical collective project to emerge from French structuralism. Inspired by their teachers Louis Althusser and Jacques Lacan, the editors of the Cahiers sought to sever philosophy from the interpretation of given meanings or experiences, focusing instead on the mechanisms that structure specific configurations of discourse, from the psychological and ideological to the literary, scientific, and political. Adequate analysis of the operations at work in these configurations, they argue, helps prepare the way for their revolutionary transformation. The first volume comprises English translations of some of the most important theoretical texts published in the journal, written by thinkers who would soon be counted among the most inventive and influential of their generation. The second volume collects newly commissioned essays on the journal, together with recent interviews with people who were either members of its editorial board or associated with its broader theoretical project. Contributors include Alain Badiou, Étienne Balibar, Edward Baring, Jacques Bouveresse, Yves Duroux, Alain Grosrichard, Peter Hallward, Adrian Johnston, Serge Leclaire, Patrice Maniglier, Tracy McNulty, Jacques-Alain Miller, Jean-Claude Milner, Knox Peden, Jacques Rancière, François Regnault, and Slavoj Žižek.
Concept and Form, Volume 2
Author: Peter Hallward
Publisher: Verso Books
ISBN: 1844678733
Category : Philosophy
Languages : en
Pages : 305
Book Description
Concept and Form is a two-volume monument to the work of the philosophy journal the Cahiers pour l’Analyse (1966–69), the most ambitious and radical collective project to emerge from French structuralism. Inspired by their teachers Louis Althusser and Jacques Lacan, the editors of the Cahiers sought to sever philosophy from the interpretation of given meanings or experiences, focusing instead on the mechanisms that structure specific configurations of discourse, from the psychological and ideological to the literary, scientific, and political. Adequate analysis of the operations at work in these configurations, they argue, helps prepare the way for their revolutionary transformation. Volume One of Concept and Form translates some of the most important theoretical texts from the Cahiers pour l’Analyse; this second volume collects newly commissioned essays on the journal, together with recent interviews with people who were either members of its editorial board or associated with its broader theoretical project. It aims to help reconstruct the intellectual context of the Cahiers, and to assess its contemporary theoretical legacy. Prefaced by an overview of the project’s rigorous investment in science and conceptual analysis, the volume considers in particular the Cahiers’ distinctive effort to link the apparently incommensurable categories of ‘structure’ and ‘subject’, so as to prepare for a new synthesis of Marxism and psychoanalysis.Contributors include Alain Badiou, Étienne Balibar, Edward Baring, Jacques Bouveresse, Yves Duroux, Alain Grosrichard, Peter Hallward, Adrian Johnston, Patrice Maniglier, Tracy McNulty, Jean-Claude Milner, Knox Peden, Jacques Rancière, François Regnault, and Slavoj Žižek.
Publisher: Verso Books
ISBN: 1844678733
Category : Philosophy
Languages : en
Pages : 305
Book Description
Concept and Form is a two-volume monument to the work of the philosophy journal the Cahiers pour l’Analyse (1966–69), the most ambitious and radical collective project to emerge from French structuralism. Inspired by their teachers Louis Althusser and Jacques Lacan, the editors of the Cahiers sought to sever philosophy from the interpretation of given meanings or experiences, focusing instead on the mechanisms that structure specific configurations of discourse, from the psychological and ideological to the literary, scientific, and political. Adequate analysis of the operations at work in these configurations, they argue, helps prepare the way for their revolutionary transformation. Volume One of Concept and Form translates some of the most important theoretical texts from the Cahiers pour l’Analyse; this second volume collects newly commissioned essays on the journal, together with recent interviews with people who were either members of its editorial board or associated with its broader theoretical project. It aims to help reconstruct the intellectual context of the Cahiers, and to assess its contemporary theoretical legacy. Prefaced by an overview of the project’s rigorous investment in science and conceptual analysis, the volume considers in particular the Cahiers’ distinctive effort to link the apparently incommensurable categories of ‘structure’ and ‘subject’, so as to prepare for a new synthesis of Marxism and psychoanalysis.Contributors include Alain Badiou, Étienne Balibar, Edward Baring, Jacques Bouveresse, Yves Duroux, Alain Grosrichard, Peter Hallward, Adrian Johnston, Patrice Maniglier, Tracy McNulty, Jean-Claude Milner, Knox Peden, Jacques Rancière, François Regnault, and Slavoj Žižek.
Concept and Form, Volume 2
Author: Knox Peden
Publisher: Verso Books
ISBN: 1781684545
Category : Philosophy
Languages : en
Pages : 346
Book Description
Concept and Form is a two-volume monument to the work of the philosophy journal the Cahiers pour l'Analyse (1966-69), the most ambitious and radical collective project to emerge from French structuralism. Inspired by their teachers Louis Althusser and Jacques Lacan, the editors of the Cahiers sought to sever philosophy from the interpretation of given meanings or experiences, focusing instead on the mechanisms that structure specific configurations of discourse, from the psychological and ideological to the literary, scientific, and political. Adequate analysis of the operations at work in these configurations, they argue, helps prepare the way for their revolutionary transformation. Volume One of Concept and Form translates some of the most important theoretical texts from the Cahiers pour l'Analyse; this second volume collects newly commissioned essays on the journal, together with recent interviews with people who were either members of its editorial board or associated with its broader theoretical project. It aims to help reconstruct the intellectual context of the Cahiers, and to assess its contemporary theoretical legacy. Prefaced by an overview of the project's rigorous investment in science and conceptual analysis, the volume considers in particular the Cahiers' distinctive effort to link the apparently incommensurable categories of 'structure' and 'subject', so as to prepare for a new synthesis of Marxism and psychoanalysis. Contributors include Alain Badiou, tienne Balibar, Edward Baring, Jacques Bouveresse, Yves Duroux, Alain Grosrichard, Peter Hallward, Adrian Johnston, Patrice Maniglier, Tracy McNulty, Jean-Claude Milner, Knox Peden, Jacques Rancire, Franois Regnault, and Slavoj Zizek.
Publisher: Verso Books
ISBN: 1781684545
Category : Philosophy
Languages : en
Pages : 346
Book Description
Concept and Form is a two-volume monument to the work of the philosophy journal the Cahiers pour l'Analyse (1966-69), the most ambitious and radical collective project to emerge from French structuralism. Inspired by their teachers Louis Althusser and Jacques Lacan, the editors of the Cahiers sought to sever philosophy from the interpretation of given meanings or experiences, focusing instead on the mechanisms that structure specific configurations of discourse, from the psychological and ideological to the literary, scientific, and political. Adequate analysis of the operations at work in these configurations, they argue, helps prepare the way for their revolutionary transformation. Volume One of Concept and Form translates some of the most important theoretical texts from the Cahiers pour l'Analyse; this second volume collects newly commissioned essays on the journal, together with recent interviews with people who were either members of its editorial board or associated with its broader theoretical project. It aims to help reconstruct the intellectual context of the Cahiers, and to assess its contemporary theoretical legacy. Prefaced by an overview of the project's rigorous investment in science and conceptual analysis, the volume considers in particular the Cahiers' distinctive effort to link the apparently incommensurable categories of 'structure' and 'subject', so as to prepare for a new synthesis of Marxism and psychoanalysis. Contributors include Alain Badiou, tienne Balibar, Edward Baring, Jacques Bouveresse, Yves Duroux, Alain Grosrichard, Peter Hallward, Adrian Johnston, Patrice Maniglier, Tracy McNulty, Jean-Claude Milner, Knox Peden, Jacques Rancire, Franois Regnault, and Slavoj Zizek.
The Philosophy of Symbolic Forms, Volume 1
Author: Ernst Cassirer
Publisher: Routledge
ISBN: 1000001091
Category : Philosophy
Languages : en
Pages : 399
Book Description
"The Philosophy of Symbolic Forms is a milestone in twentieth century philosophy. Promoting a philosophical vision informed by Kant, it incorporates the philosophical advances achieved in the nineteenth century by German Idealism and Neo-Kantianism, whilst acknowledging the contributions made by his contemporary phenomenologists. It also encompasses empirical and historical research on culture and the most contemporary work on myth, linguistics and psychopathology. As such, it ranks in philosophical importance along with other major works of the twentieth century, such as Edmund Husserl’s Logical Investigations, Martin Heidegger’s Being and Time, and Ludwig Wittgenstein’s Tractatus Logico-Philosophicus. In the first volume, Cassirer explores the symbolic form of language. Already recognized by thinkers in the tradition of German Idealism, such as Wilhelm von Humboldt, language is the primary medium by which we interact with others and form a common world. As Cassirer emphasizes in the famous Davos Debate with Heidegger, 'there is one objective human world, in which a bridge is built from individual to individual. That I find in the primal phenomenon of language.' The famous trias Cassirer discerns in the functioning of language – the functions of expression (Ausdruck), presentation (Darstellung), and signification (Bedeutung) – has become paradigmatic for accounts of language, philosophical, linguistic, and anthropological alike." Sebastian Luft, Professor of Philosophy, Marquette University, USA. This new translation makes Cassirer’s seminal work available to a new generation of scholars. Each volume includes a translator’s introduction by Steve G. Lofts, a foreword by Peter E. Gordon, a glossary of key terms, and an index.
Publisher: Routledge
ISBN: 1000001091
Category : Philosophy
Languages : en
Pages : 399
Book Description
"The Philosophy of Symbolic Forms is a milestone in twentieth century philosophy. Promoting a philosophical vision informed by Kant, it incorporates the philosophical advances achieved in the nineteenth century by German Idealism and Neo-Kantianism, whilst acknowledging the contributions made by his contemporary phenomenologists. It also encompasses empirical and historical research on culture and the most contemporary work on myth, linguistics and psychopathology. As such, it ranks in philosophical importance along with other major works of the twentieth century, such as Edmund Husserl’s Logical Investigations, Martin Heidegger’s Being and Time, and Ludwig Wittgenstein’s Tractatus Logico-Philosophicus. In the first volume, Cassirer explores the symbolic form of language. Already recognized by thinkers in the tradition of German Idealism, such as Wilhelm von Humboldt, language is the primary medium by which we interact with others and form a common world. As Cassirer emphasizes in the famous Davos Debate with Heidegger, 'there is one objective human world, in which a bridge is built from individual to individual. That I find in the primal phenomenon of language.' The famous trias Cassirer discerns in the functioning of language – the functions of expression (Ausdruck), presentation (Darstellung), and signification (Bedeutung) – has become paradigmatic for accounts of language, philosophical, linguistic, and anthropological alike." Sebastian Luft, Professor of Philosophy, Marquette University, USA. This new translation makes Cassirer’s seminal work available to a new generation of scholars. Each volume includes a translator’s introduction by Steve G. Lofts, a foreword by Peter E. Gordon, a glossary of key terms, and an index.
Concept and Form, Volume 1
Author: Peter Hallward
Publisher: Verso Books
ISBN: 1844678725
Category : Philosophy
Languages : en
Pages : 273
Book Description
Concept and Form is a two-volume monument to the work of the philosophy journal the Cahiers pour l’Analyse (1966–69), the most ambitious and radical collective project to emerge from French structuralism. Inspired by their teachers Louis Althusser and Jacques Lacan, the editors of the Cahiers sought to sever philosophy from the interpretation of given meanings or experiences, focusing instead on the mechanisms that structure specific configurations of discourse, from the psychological and ideological to the literary, scientific, and political. Adequate analysis of the operations at work in these configurations, they argue, helps prepare the way for their revolutionary transformation. This first volume comprises English translations of some of the most important theoretical texts published in the journal, written by thinkers who would soon be counted among the most inventive and influential of their generation: Alain Badiou, Yves Duroux, Alain Grosrichard, Serge Leclaire, Jacques-Alain Miller, Jean-Claude Milner, and François Regnault.The book is complemented by a second volume, consisting of essays and interviews that assess the significance and legacy of the journal, and by an online edition of the full set of original Cahiers texts, produced by the Centre for Research in Modern European Philosophy at Kingston University, London and accessible at cahiers.kingston.ac.uk.
Publisher: Verso Books
ISBN: 1844678725
Category : Philosophy
Languages : en
Pages : 273
Book Description
Concept and Form is a two-volume monument to the work of the philosophy journal the Cahiers pour l’Analyse (1966–69), the most ambitious and radical collective project to emerge from French structuralism. Inspired by their teachers Louis Althusser and Jacques Lacan, the editors of the Cahiers sought to sever philosophy from the interpretation of given meanings or experiences, focusing instead on the mechanisms that structure specific configurations of discourse, from the psychological and ideological to the literary, scientific, and political. Adequate analysis of the operations at work in these configurations, they argue, helps prepare the way for their revolutionary transformation. This first volume comprises English translations of some of the most important theoretical texts published in the journal, written by thinkers who would soon be counted among the most inventive and influential of their generation: Alain Badiou, Yves Duroux, Alain Grosrichard, Serge Leclaire, Jacques-Alain Miller, Jean-Claude Milner, and François Regnault.The book is complemented by a second volume, consisting of essays and interviews that assess the significance and legacy of the journal, and by an online edition of the full set of original Cahiers texts, produced by the Centre for Research in Modern European Philosophy at Kingston University, London and accessible at cahiers.kingston.ac.uk.
Concepts of Combinatorial Optimization, Volume 1
Author: Vangelis Th. Paschos
Publisher: John Wiley & Sons
ISBN: 1118600231
Category : Mathematics
Languages : en
Pages : 283
Book Description
Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aims to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided into three parts: On the complexity of combinatorial optimization problems, that presents basics about worst-case and randomized complexity; Classical solution methods, that presents the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; Elements from mathematical programming, that presents fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.
Publisher: John Wiley & Sons
ISBN: 1118600231
Category : Mathematics
Languages : en
Pages : 283
Book Description
Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aims to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided into three parts: On the complexity of combinatorial optimization problems, that presents basics about worst-case and randomized complexity; Classical solution methods, that presents the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; Elements from mathematical programming, that presents fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.
The Philosophy of Symbolic Forms, Volume 2
Author: Ernst Cassirer
Publisher: Routledge
ISBN: 1000007944
Category : Philosophy
Languages : en
Pages : 364
Book Description
"The Philosophy of Symbolic Forms is one of the landmarks of twentieth century philosophy. Drawing from the influential work of Wilhelm Dilthey, it transformed neo-Kantianism into a new robust philosophy of culture. The second volume, on Mythical Thinking, analyzes the fundamental layers of perception and expression as well as the articulations with religion and the dialectic with other forms, essentially language and art. The intellectual breadth of the volume is remarkable. It initiated the debate with Martin Heidegger and prompted a long-lasting meditation by Hans Blumenberg. We are only beginning to recognize its importance for our understanding of the power of images in the construction of aesthetics, the self, and the socio-political world. It initiated a discussion within French sociology (Émile Durkheim, Marcel Mauss) that ultimately resurfaced in Pierre Bourdieu, while today it is considered as a resourceful path for cultural and critical theory (Drucilla Cornell and Kenneth M. Panfilio). Finally, this volume also offers solid grounds for a political critique of Nazism - specifically: Alfred Rosenberg’s Myth of the 20th Century and Adolf Hitler’s Mein Kampf - as well as the new emerging totalitarian ideologies." Fabien Capeilleres, Professor of Philosophy, editor of the French edition of Cassirer’s Works. This new translation makes Cassirer’s seminal work available to a new generation of scholars. Each volume includes a translator’s introduction by Steve G. Lofts, a foreword by Peter E. Gordon, a glossary of key terms, and an index.
Publisher: Routledge
ISBN: 1000007944
Category : Philosophy
Languages : en
Pages : 364
Book Description
"The Philosophy of Symbolic Forms is one of the landmarks of twentieth century philosophy. Drawing from the influential work of Wilhelm Dilthey, it transformed neo-Kantianism into a new robust philosophy of culture. The second volume, on Mythical Thinking, analyzes the fundamental layers of perception and expression as well as the articulations with religion and the dialectic with other forms, essentially language and art. The intellectual breadth of the volume is remarkable. It initiated the debate with Martin Heidegger and prompted a long-lasting meditation by Hans Blumenberg. We are only beginning to recognize its importance for our understanding of the power of images in the construction of aesthetics, the self, and the socio-political world. It initiated a discussion within French sociology (Émile Durkheim, Marcel Mauss) that ultimately resurfaced in Pierre Bourdieu, while today it is considered as a resourceful path for cultural and critical theory (Drucilla Cornell and Kenneth M. Panfilio). Finally, this volume also offers solid grounds for a political critique of Nazism - specifically: Alfred Rosenberg’s Myth of the 20th Century and Adolf Hitler’s Mein Kampf - as well as the new emerging totalitarian ideologies." Fabien Capeilleres, Professor of Philosophy, editor of the French edition of Cassirer’s Works. This new translation makes Cassirer’s seminal work available to a new generation of scholars. Each volume includes a translator’s introduction by Steve G. Lofts, a foreword by Peter E. Gordon, a glossary of key terms, and an index.
The Great Mental Models, Volume 1
Author: Shane Parrish
Publisher: Penguin
ISBN: 0593719972
Category : Business & Economics
Languages : en
Pages : 209
Book Description
Discover the essential thinking tools you’ve been missing with The Great Mental Models series by Shane Parrish, New York Times bestselling author and the mind behind the acclaimed Farnam Street blog and “The Knowledge Project” podcast. This first book in the series is your guide to learning the crucial thinking tools nobody ever taught you. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields. Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back. The Great Mental Models: Volume 1, General Thinking Concepts shows you how making a few tiny changes in the way you think can deliver big results. Drawing on examples from history, business, art, and science, this book details nine of the most versatile, all-purpose mental models you can use right away to improve your decision making and productivity. This book will teach you how to: Avoid blind spots when looking at problems. Find non-obvious solutions. Anticipate and achieve desired outcomes. Play to your strengths, avoid your weaknesses, … and more. The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage.
Publisher: Penguin
ISBN: 0593719972
Category : Business & Economics
Languages : en
Pages : 209
Book Description
Discover the essential thinking tools you’ve been missing with The Great Mental Models series by Shane Parrish, New York Times bestselling author and the mind behind the acclaimed Farnam Street blog and “The Knowledge Project” podcast. This first book in the series is your guide to learning the crucial thinking tools nobody ever taught you. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields. Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back. The Great Mental Models: Volume 1, General Thinking Concepts shows you how making a few tiny changes in the way you think can deliver big results. Drawing on examples from history, business, art, and science, this book details nine of the most versatile, all-purpose mental models you can use right away to improve your decision making and productivity. This book will teach you how to: Avoid blind spots when looking at problems. Find non-obvious solutions. Anticipate and achieve desired outcomes. Play to your strengths, avoid your weaknesses, … and more. The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage.
The Collected Papers of Bertrand Russell, Volume 2
Author: Nicholas Griffin
Publisher: Taylor & Francis
ISBN: 1040231632
Category : Philosophy
Languages : en
Pages : 698
Book Description
The 1896-1899 papers, few of which were published in Russell's lifetime, concentrate primarily on physics, arithmetic and the concept of quantity. Several views that later became well-known in his The Principles of Mathematics actually originate in his earlier work, and though incomplete,An Analysis of Mathematical Reasoning, forms a centrepiece of the volume.
Publisher: Taylor & Francis
ISBN: 1040231632
Category : Philosophy
Languages : en
Pages : 698
Book Description
The 1896-1899 papers, few of which were published in Russell's lifetime, concentrate primarily on physics, arithmetic and the concept of quantity. Several views that later became well-known in his The Principles of Mathematics actually originate in his earlier work, and though incomplete,An Analysis of Mathematical Reasoning, forms a centrepiece of the volume.
Visual Differential Geometry and Forms
Author: Tristan Needham
Publisher: Princeton University Press
ISBN: 0691203695
Category : Mathematics
Languages : en
Pages : 530
Book Description
An inviting, intuitive, and visual exploration of differential geometry and forms Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner. Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.
Publisher: Princeton University Press
ISBN: 0691203695
Category : Mathematics
Languages : en
Pages : 530
Book Description
An inviting, intuitive, and visual exploration of differential geometry and forms Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner. Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.