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Algebraic Geometry

Algebraic Geometry PDF Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 1475738498
Category : Mathematics
Languages : en
Pages : 511

Book Description
An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.

Algebraic Geometry

Algebraic Geometry PDF Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 1475738498
Category : Mathematics
Languages : en
Pages : 511

Book Description
An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.

Geometry: Euclid and Beyond

Geometry: Euclid and Beyond PDF Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 0387226761
Category : Mathematics
Languages : en
Pages : 535

Book Description
This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

Deformation Theory

Deformation Theory PDF Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 1441915966
Category : Mathematics
Languages : en
Pages : 241

Book Description
The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects, such as varieties, or subschemes in a fixed space, or vector bundles on a fixed scheme. In this new book, Robin Hartshorne studies first what happens over small infinitesimal deformations, and then gradually builds up to more global situations, using methods pioneered by Kodaira and Spencer in the complex analytic case, and adapted and expanded in algebraic geometry by Grothendieck. The author includes numerous exercises, as well as important examples illustrating various aspects of the theory. This text is based on a graduate course taught by the author at the University of California, Berkeley.

Omnipotence and other Theological Mistakes

Omnipotence and other Theological Mistakes PDF Author: Charles Hartshorne
Publisher: State University of New York Press
ISBN: 1438406029
Category : Religion
Languages : en
Pages : 160

Book Description
This book presents Hartshorne's philosophical theology briefly, simply, and vividly. Throughout the centuries some of the world's most brilliant philosophers and theologians have held and perpetuated six beliefs that give the word God a meaning untrue to its import in sacred writings or in active religious devotion: God is absolutely perfect and therefore unchangeable, 2.omnipotence, 3.omniscience, 4.God's unsympathetic goodness, 5.immortality as a career after death, and 6.revelation as infalliable. Charles Hartshorne deals with these six theological mistakes from the standpoint of his process theology. Hartshorne says, "The book is unacademic in so far as I am capable of being that." Only a master like Hartshorne could present such sophisticated ideas so simply. This book offers an option for religious belief not heretofore available to lay people.

Creative Experiencing

Creative Experiencing PDF Author: Charles Hartshorne
Publisher: SUNY Press
ISBN: 1438436653
Category : Philosophy
Languages : en
Pages : 179

Book Description
A vigorous and wide-ranging defense of Hartshorne’s “neoclassical metaphysics” of creative freedom.

Ample Subvarieties of Algebraic Varieties

Ample Subvarieties of Algebraic Varieties PDF Author: Robin Hartshorne
Publisher: Springer
ISBN: 3540363459
Category : Mathematics
Languages : en
Pages : 271

Book Description


Conducting Authentic Historical Inquiry

Conducting Authentic Historical Inquiry PDF Author: Scott M. Waring
Publisher:
ISBN: 0807764043
Category : Education
Languages : en
Pages : 205

Book Description
"The authors examine how social studies teachers can use web 2.0 tools to augment instruction in their classrooms, using a pedagogical framework SOURCES to enable students to engage in historical inquiry with primary sources in an informed and scaffolded fashion. SOURCES is an acronym to identify the steps ofhistorical inquiry: Scrutinizing the fundamental sources; organizing thoughts; understanding the context; reading between the lines; corroborating and refuting; establishing a plausible narrative; summarizing final thoughts. The use of Web 2.0 tools, such as social networks and blogs, are omnipresent among students, and their integration into the learning experience is intended to increase motivation, collaboration, and visualization of student work, as well as "providing opportunities and venues for sharing work and solutions globally." Per the authors, "this book will provide a detailed collection and rationale for the implementation of a wide array of emerging technological applications into the teaching and learning process, their role in supporting each phase of the SOURCES pedagogical framework, and varied examples of the merging of technological and pedagogical applications in the social studies classroom""--

Charles Hartshorne and the Existence of God

Charles Hartshorne and the Existence of God PDF Author: Donald Wayne Viney
Publisher: SUNY Press
ISBN: 9780873959070
Category : Religion
Languages : en
Pages : 194

Book Description
In a lucid and comprehensive study, Professor Viney presents an excellent critical analysis of Hartshorne's thought about God. Demonstrating his thesis from many points of view (ontological, cosmological, teleological, moral, aesthetic, etc.), Viney deftly illustrates Hartshorne's belief that any one argument for God is inconclusive, but that many woven together make up a convincing interpretative expression of the world.

The Philosophy of Charles Hartshorne

The Philosophy of Charles Hartshorne PDF Author: Charles Hartshorne
Publisher: Library of Living Philosophers
ISBN:
Category : Philosophy
Languages : en
Pages : 816

Book Description
Part of a series of studies of contemporary philosophers, this volume focuses on Charles Hartshorne. It contains 29 descriptive and critical essays on his philosophy, as well as his intellectual autobiography and detailed replies to the critics.

Residues and Duality

Residues and Duality PDF Author: Robin Hartshorne
Publisher: Springer
ISBN: 3540347941
Category : Mathematics
Languages : en
Pages : 431

Book Description