an algebraic approach to geometry

An Algebraic Approach to Geometry

An Algebraic Approach to Geometry: This is a unified treatment of the various algebraic approaches to geometric spaces. The study of algebraic curves in the complex projective plane is the natural link between linear geometry at an undergraduate level and algebraic geometry at a graduate level, and it is also an important topic in geometric applications, such as cryptography. 380 years ago, the work of Fermat and Descartes led us to study geometric problems using coordinates and equations. Today, this is the most popular way of handling geometrical problems. Linear algebra provides an efficient tool for studying all the first degree (lines, planes) and second degree (ellipses, hyperboloids) geometric figures, in the affine, the Euclidean, the Hermitian and the projective contexts. But recent applications of mathematics, like cryptography, need these notions not only in real or complex cases, but also in more general settings, like in spaces constructed on finite fields. And of course, why not also turn our attention to geometric figures of higher degrees Besides all the linear aspects of geometry in their most general setting, this book also describes useful algebraic tools for studying curves of arbitrary degree and investigates results as advanced as the Bezout theorem, the Cramer paradox, topological group of a cubic, rational curves etc. Hence the book is of interest for all those who have to teach or study linear geometry: affine, Euclidean, Hermitian, projective it is also of great interest to those who do not want to restrict themselves to the undergraduate level of geometric figures of degree one or two.

Algebraic Geometry V: Fano Varieties

ISBN: , SKU: , AUTHOR: Parshin, A. N. / Shafarevich, I. R. / A N Parshin, PUBLISHER: Springer, The aim of this survey, written by V.A. Iskovskikh and Yu.G. Prokhorov, is to provide an exposition of the structure theory of Fano varieties, i.e. algebraic vareties with an ample anticanonical divisor. Such varieties naturally appear in the birational classification of varieties of negative Kodaira dimension, and they are very close to rational ones. This EMS volume covers different approaches to the classification of Fano varieties such as the classical Fano-Iskovskikh "double projection" method and its modifications, the vector bundles method due to S. Mukai, and the method of extremal rays. The authors discuss uniruledness and rational connectedness as well as recent progress in rationality problems of Fano varieties. The appendix contains tables of some classes of Fano varieties. This book will be very useful as a reference and research guide for researchers and graduate students in algebraic geometry.

Algorithms in Real Algebraic Geometry

Algorithms in Real Algebraic Geometry: In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background. This self-contained book is accessible to graduate and undergraduate students.

Positivity in Algebraic Geometry II: Positivity for Vector

ISBN: , SKU: , AUTHOR: Lazarsfeld, R. K., PUBLISHER: Springer, This two volume work on "Positivity in Algebraic Geometry" contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Whereas Volume I is more elementary, the present Volume II is more at the research level and somewhat more specialized. Both volumes are also available as hardcover edition as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete."

An Integrated Approach to Intermediate Japanese

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Rural Analysis and Management: An Earth Science Approach to

ISBN: , SKU: , AUTHOR: Tapiador, Francisco, PUBLISHER: Springer, This handbook presents the foundations of modern rural analysis. The first part of the book presents a comprehensive description of the elements of rural analysis, providing the basis for a synthetic view of rural landscapes in the second part. Included is a comprehensive description and explanation of the rural landscapes from throughout the world, which leads to a complete management scheme for rural landscapes. The text covers topics such as global change, the role of information technologies in rural areas, gender relations and how to bridge the gap between scientific analysis and decision-making processes. A fully-worked example is provided, illustrating how all the analyses and techniques shown can be applied in a real case.

Progress in Social Psychiatry in Japan: An Approach to

?Social psychiatry is a multidisciplinary field analyzing mechanisms of mental health issues comprehensively to contribute to society using the findings. Those findings include biological,psychological,and social aspects and they are based on psychiatry and connected with a wide variety of academic fields,including psychology,sociology,law,economics,and religious studies. Epidemiological research in psychiatry is a field of study in patients with psychiatric disorder attempting to investigate causes,

Social Mechanisms: An Analytical Approach to Social Theory

ISBN: , SKU: , AUTHOR: Hedstrom, Peter / Swedberg, Richard / Hernes, Gudmund, PUBLISHER: Cambridge University Press, The mechanism approach calls attention to an intermediary level of analysis, in between pure description and story-telling, on the one hand, and grand theorizing and universal social laws, on the other. These essays, written by prominent social scientists, advance criticisms of current trends in social theory and suggest alternative approaches. For social theory to be of use for the working social scientist, it must attain a high level of precision and provide a toolbox from which middle range theories can be constructed.

Psychology textbook- An Interactive Approach to Writing Essays and Research Reports in Psychology

Psychology textbook with interactive CD An Interactive Approach to Writing Essays and Research Reports in Psychology (2nd Edition) Author: Lorelle J Burton Publisher: John Wiley & Sons Used- Excellent condition £10 Ad ID: Delivery Service Consumer Credit

Psychology textbook- An Interactive Approach to Writing Essays and Research Reports in Psychology

Psychology textbook with interactive CD An Interactive Approach to Writing Essays and Research Reports in Psychology (2nd Edition) Author: Lorelle J Burton Publisher: John Wiley & Sons Used- Excellent condition £15 Ad ID: Delivery Service Consumer Credit

An Elementary Course in Descriptive Geometry

ISBN: , SKU: , AUTHOR: Solomon Woolf, Woolf, PUBLISHER: Merchant Books, An Unabridged Printing, To Include Over 280 Figures: General Considerations - The Line - Lines, Plane Figures, And Planes - Parallel And Intersecting Planes - Geometrical Surfaces- Single Curved Surfaces- Supplementary Planes And Projections - Change Of Position By Rotation And Rabattement - Rotation Of The Point - Rotation Of The Line - Rotation Of The Plane - Rabattement - Distances And Perpendiculars - Distance Of Two Points - Distance Of Point From Line - Distance Of Point From Plane - Shortest Distances Between Two Lines - Angles Between Right Lines - Angles Between Lines And Planes - Angles Between Planes - Change Of Position By Combines Motions - Elementary Sections - Oblique Sections - Elementary Intersections - Plane Lines Of Intersection - Intersections In Warped Lines - Tangents And Normals - General Considerations - Tangents And Normals To Surfaces - Tangents To Ruled Surfaces - Surfaces Of Revolution - Warped Surfaces - Tangent Surfaces And Envelopment - Development

Endocrinology An Integrated Approach

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THERMODYNAMICS: An Engineering Approach

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Human Physiology: an Integrated Approach

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Thermodynamics an engineering approach book

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Abnormal psychology An interactive Approach

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Crop Production Technologies: An Interdisciplinary Approach

ISBN No.: Publisher: Koros Press Crop Production Technologies: An Interdisciplinary Approach Contributors/Editors: Simone Graeff, Johanna Link, et al. Pub. Date: Price: £ http://www.korospress.com/agriculture/-Crop_Production_Technologies:_An_Interdisciplinary_Approach.html

Organizational Behavior: An Evidence-Based Approach

ISBN: , SKU: , AUTHOR: Luthans, Fred, PUBLISHER: Irwin/McGraw-Hill, Organizational Behavior by Fred Luthans was one of the first mainstream organizational behavior texts on the market and continues the tradition of being the most current and up-to-date researched text today. Well-known author Fred Luthans is the 5th most prolific Publisher in Academy of Management Journals and a senior research scientist with the Gallup Organization, who continues to do research in the organizational behavior area. The Twelfth Edition of Organizational Behavior is ideal for instructors who take a research-based and conceptual approach to their OB course.

Approach An Experienced Electrician in Banstead For

The importance of hiring a certified electrical contractor for your daily electrical tasks can never be denied. With advancement in technology, it has become easier for them to offer hassle-free services in and around West Sussex. Big or small, it is the responsibility of the professional you are approaching to treat all with equal importance. Few of the electrical services you can expect from the company are external wiring, full rewire, full box replacements, lighting, electrical safety certificate, wiring and installations. With an experienced contractor offering Electrical Services in Banstead, West Sussex, you can stay assured that the job will be done by someone skilled, experienced and knowledgeable.

Marketing Research, An Integrated Approach, Alan Wilson

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Teaching Science for All Children: An Inquiry Approach

ISBN: , SKU: , AUTHOR: Martin, Ralph / Sexton, Colleen / Franklin, Teresa, PUBLISHER: Allyn & Bacon, KEY BENEFIT: "Teaching Science for All Children "provides methods for future teachers to foster awareness and understanding among their students of the nature of science. Learning science through inquiry, implementation of the Learning Cycle, NSE standards, constructivism, technology, and strategies for teaching diverse learners. Elementary Science Methods

Communication Networking: An Analytical Approach in City of

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Marketing Research, An Integrated Approach (2nd edition). Alan Wilson

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Marine Mammal Biology: An Evolutionary Approach in City of

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Marine Mammal Biology: An Evolutionary Approach in City of

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