riemannian geometry

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Glencoe Geometry: Concepts and Applications 3rd Edition

ISBN: , SKU: , AUTHOR: McGraw Hill Staff, PUBLISHER: McGraw Hill Higher Education, NA

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Harmonic Analysis of Mean Periodic Functions on Symmetric

ISBN: , SKU: , AUTHOR: Volchkov, Valery V. / Volchkov, Vitaly V. / Volchkov, V. V., PUBLISHER: Springer, The book presents the first systematic and unified treatment of the theory of mean periodic functions on homogeneous spaces. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close connections to harmonic analysis, complex analysis, integral geometry, and analysis on symmetric spaces. The main purpose of this book is the study of local aspects of spectral analysis and spectral synthesis on Euclidean spaces, Riemannian symmetric spaces of an arbitrary rank and Heisenberg groups. The subject can be viewed as arising from three classical topics: Johna (TM)s support theorem, Schwartza (TM)s fundamental principle, and Delsartea (TM)s two-radii theorem. Very up-to-date, the book contains most of the significant recent results in this area with complete and detailed proofs. In order to make this book accessible to a wide audience, the authors provide an introductory part developing analysis on symmetric spaces without use of Lie theory. Challenging open problems are described and explained, and promising new research directions are indicated. Designed for both experts and beginners in the field, the book is rich in methods for a wide variety of problems in many areas of mathematics. Acquista Ora

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Prentice Hall High School Math Technology Activities

ISBN: , SKU: , AUTHOR: Pearson / Prentice Hall, PUBLISHER: Prentice Hall, Comprehensive instructional support for proofMultiple formats are supported through mastery including two column, paragraph, flow, and indirect proofs. Students learn to value the need to think logically and present ideas in a logical order.Solid coverage of both structure and applicationsTraditional geometry concepts and logical reasoning are emphasized throughout, while measurement and applications are integrated to motivate students via real-world connections.Algebra reviewed and integrated throughoutAlgebra 1 skills are reviewed at point-of-use, ensuring students maintain these skills. Algebra integration within coordinate geometry topics, plus probability and statistics connections, are found throughout.

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Ideals, Varieties, and Algorithms: An Introduction to

ISBN: , SKU: , AUTHOR: Cox, David / Little, John / O'Shea, Donal, PUBLISHER: Springer, Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated? The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relationship between ideals and varieties which reveals the intimate link between algebra and geometry. Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. The algorithms to answer questions such as those posed above are an important part of algebraic geometry. Although the algorithmic roots of algebraic geometry are old, it is only in the last forty years that computational methods have regained their earlier prominence. New algorithms, coupled with the power of fast computers, have led to both theoretical advances and interesting applications, for example in robotics and in geometric theorem proving. In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and correctness, this third edition of Ideals, Varieties and Algorithms includes: A significantly updated section on Maple in Appendix C; Updated information on AXIOM, CoCoA, Macaulay 2, Magma, Mathematica and SINGULAR; A shorter proof of the Extension Theorem presented in Section 6 of Chapter 3. From the 2nd Edition: "I consider the book to be wonderful.... The exposition is very clear, there are many helpful pictures, and there are a great many instructive exercises, some quite challenging... offers the heart and soul of modern commutative and algebraic geometry." -The American Mathematical Monthly

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Prentice Hall Math Pre Algebra Pma (Progress Monitoring

ISBN: , SKU: , AUTHOR: n/a, PUBLISHER: Prentice Hall, Prepare students for Algebra-appropriate for both middle school and high school students.Solid preparation for algebra and geometry Integers and algebraic concepts are introduced beginning in Chapter 1 to develop students' algebraic thinking skills. Throughout the text, algebraic concepts are connected to arithmetic skills to build on what students know. Geometry concepts are integrated when appropriate to foster connections.An emphasis on mastery of basic skills. The text provides numerous opportunities to assess basic skills along with abundant remediation and intervention activities. Daily spiral review provides practice on prerequisite skills, and an in-text Skills Handbook offers instruction for all basic skills.

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Non-Commutative Localization in Algebra and Topology

ISBN: , SKU: , AUTHOR: Ranicki, Andrew, PUBLISHER: Cambridge University Press, Noncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. Originally conceived by algebraists (notably P.M. Cohn) it is now an important tool not only in pure algebra but also in the topology of non-simply-connected spaces, algebraic geometry and noncommutative geometry.This volume consists of 9 articles on noncommutative localization in algebra and topology. The aricles include basic definitions, surveys, historical background and applications, as well as presenting new results. The book is an introduction to the subject, an account of the state of the art, and also provides many references for further material.

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