Download or read book Resolution of Curve and Surface Singularities in Characteristic Zero written by K. Kiyek and published by Springer Science & Business Media. This book was released on 2012-09-11 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l m ordinary singular points with respective multiplicities ri, i E {1, . . . , m}, the genus p of the curve is given by the formula = (n - l)(n - 2) _ ~ "r. (r. _ 1) P 2 2 L. . ,. •• . Of course, the problem now arises: how to compute the genus of a plane curve having some non-ordinary singularities. This leads to the natural question: can we birationally transform any (singular) plane curve into another one having only ordinary singularities? The answer is positive. Let us give a flavor (without proofs) 2 on how Noether did it • To solve the problem, it is enough to consider a special kind of Cremona trans formations, namely quadratic transformations of the projective plane. Let ~ be a linear system of conics with three non-collinear base points r = {Ao, AI, A }, 2 and take a projective frame of the type {Ao, AI, A ; U}.

Download or read book Prentice Hall Mathematics Geometry written by and published by . This book was released on 2009 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Trees of San Francisco written by Michael Sullivan and published by Pomegranate. This book was released on 2004 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mike Sullivan loves his adopted city of San Francisco, and he loves trees. In The Trees of San Francisco he has combined his passions, offering a striking and handy compendium of botanical information, historical tidbits, cultivation hints, and more. Sullivan's introduction details the history of trees in the city, a fairly recent phenomenon. The text then piques the reader's interest with discussions of 71 city trees. Each tree is illustrated with a photograph--with its common and scientific names prominently displayed--and its specific location within San Francisco, along with other sites; frequently a close-up shot of the tree is included. Sprinkled throughout are 13 sidelights relating to trees; among the topics are the city's wild parrots and the trees they love; an overview of the objectives of the Friends of the Urban Forest; and discussions about the link between Australia's trees and those in the city, such as the eucalyptus. The second part of the book gets the reader up and about, walking the city to see its trees. Full-page color maps accompany the seven detailed tours, outlining the routes; interesting factoids are interspersed throughout the directions. A two-page color map of San Francisco then highlights 25 selected neighborhoods ideal for viewing trees, leading into a checklist of the neighborhoods and their trees.

Download or read book Matrix Algebra for Applied Economics written by Shayle R. Searle and published by Wiley-Interscience. This book was released on 2001-09-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coverage of matrix algebra for economists and students ofeconomics Matrix Algebra for Applied Economics explains the important tool ofmatrix algebra for students of economics and practicing economists.It includes examples that demonstrate the foundation operations ofmatrix algebra and illustrations of using the algebra for a varietyof economic problems. The authors present the scope and basic definitions of matrices,their arithmetic and simple operations, and describe specialmatrices and their properties, including the analog of division.They provide in-depth coverage of necessary theory and deal withconcepts and operations for using matrices in real-life situations.They discuss linear dependence and independence, as well as rank,canonical forms, generalized inverses, eigenroots, and vectors.Topics of prime interest to economists are shown to be simplifiedusing matrix algebra in linear equations, regression, linearmodels, linear programming, and Markov chains. Highlights include: * Numerous examples of real-world applications * Challenging exercises throughout the book * Mathematics understandable to readers of all backgrounds * Extensive up-to-date reference material Matrix Algebra for Applied Economics provides excellent guidancefor advanced undergraduate students and also graduate students.Practicing economists who want to sharpen their skills will findthis book both practical and easy-to-read, no matter what theirapplied interests.

Download or read book Mathematics 7 Student Activity Book written by Agile Mind Educational Holdings Staff and published by . This book was released on 2014-06-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Introduction Algebra for College Students written by Robert Blitzer and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Download or read book Elementary Algebra for College Students written by Allen R. Angel and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding Algebra Through many successful editions, the Angel team has developed a text that students can read, understand, and enjoy. They've done this by pairing clear explanations (in short sentences!) with detailed examples and thorough exercise sets. This program provides a better teaching and learning experience for you and your students. Here's how: MyMathLab® improves results with a new video lecture series and a new downloadable Student Workbook that can be packaged with the text and/or the MyMathLab code. Carefully crafted exercise sets give students the practice they need to build understanding. Clear, visual presentation gives students content in a readable, easy-to-understand format. Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for: 0321922638 / 9780321922632 Elementary Algebra For College Students Plus NEW MyMathLab with Pearson eText -- Access Card Package Package consists of 0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321868064 / 9780321868060 Elementary Algebra For College Students

Download or read book Elementary Algebra MathXL Student Access Kit written by Michael Sullivan and published by Pearson College Division. This book was released on 2009-07-20 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: This package contains the following components: -0201716305: MathXL (12-month access) -032156748X: Elementary Algebra

Download or read book Elementary Algebra MathXL Student Access Code written by Tom Carson and published by Pearson College Division. This book was released on 2010-05 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This package contains the following components: -0201716305: MathXL (12-month access) -0321577299: Elementary Algebra

Download or read book Elementary Algebra for College Students written by Allen R. Angel and published by . This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An emphasis on the practical applications of algebra motivates students and encourages them to see algebra as an important part of their daily lives. The student-friendly writing style uses short, clear sentences and easy-to-understand language, and the outstanding pedagogical program makes the material easy to follow and comprehend. The Fifth Edition places a stronger emphasis on problem solving, incorporating it as a theme throughout the text. 4-color hardback text w/complete text-specific instructor and student print/media supplement package AMATYC/NCTM Standards of Content and Pedagogy integrated in preview and Perspective Chapter Openers, Graded Exercise Sets, Real-World Applications, Writing Exercises, Group Activity/Challenge problems and Calculator Corners Boxes Many step-by-step worked-out examples provide students with detailed explanation throughout the sections Helpful Hints, Common Student Error Boxes, Chapter Summaries and Practice Tests included in each chapter help students study math and review for tests Cumulative Reviews are included in every other chapter and a unique Section 1.1 Study Skills for Success in Mathematics, preps students with a study skills discussion and exercise set.

Download or read book Multimedia Mathpro 4 0 written by Allen R. Angel and published by Prentice Hall. This book was released on 1999-08 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Introductory Algebra for College Students and How Study College Math Package written by Robert F. Blitzer and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book College Algebra and Trigonometry Value Package Includes Mathxl 12 Month Student Access Kit written by J. S. Ratti and published by Addison-Wesley. This book was released on 2008-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Elementary Algebra for College Students written by Angel and published by . This book was released on 1992-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Elementary Algebra for College Students written by Allen R. Angel and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Elementary and Intermediate Algebra with MathXL written by Michael Sullivan and published by Pearson College Division. This book was released on 2009-04-22 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: This package contains the following components: -0321129873: MathXL (24-month access) -032159309X: Elementary & Intermediate Algebra