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 Action Training Systems EMT written by Action Training Systems and published by Pearson. This book was released on 2014-04-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Download or read book Fundamentals of Statistics written by Michael Sullivan III and published by Pearson. This book was released on 2015-10-28 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Drawing upon his passion for statistics and teaching, Mike Sullivan addresses the needs of today’s students, the challenges teachers face, and changes in the statistics community. With feedback from his own students and classroom experience, Fundamentals of Statistics provides the tools to help students learn better and think statistically in a concise, friendly presentation. The CD conatins all the student supplement content , the data sets, graphing calculator manual, excel manual, a PDF of the Formula and Table card from the back of the book, and a guide to using statcrunch with the title. Note: This is just the standalone book and CD, it does not come with an Access Card. If an Access Card is required ask your instructor for the ISBN of the package which would include the Book & CD plus the Access Card..

Download or read book Corporate Financial Management 5th edn PDF eBook written by Glen Arnold and published by Pearson Higher Ed. This book was released on 2013-01-23 with total page 1107 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore how finance theory works in practice with Corporate Financial Management, 5th edition. Find out how financial decisions are made within a firm, how projects are appraised to make investment decisions, how to evaluate risk and return, where to raise finance from and how, ultimately, to create value. "Very comprehensive material, excellent explanations, great examples well illustrated graphically." Professor Austin University of Portsmouth, UK Need extra support? This title can be supported by MyFinanceLab, an online homework and tutorial system which can be used by students for self-directed study or fully integrated into an instructor's course. You can buy access online at ww.MyFinanceLab.com. For educator access, contact your Pearson Account Manager. To find out who your account manager is, visit www.pearsoned.co.uk/replocator

Download or read book The Little Brown Essential Handbook Sixth Canadian Edition MLA Update written by Jane E. Aaron and published by . This book was released on 2017-03-31 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: T he Little, Brown Essential Handbook offers students the essential information they need to develop basic writing, research, and documentation skills. Useful for any level of writing or discipline, it covers academic writing, the writing process, grammar and usage, punctuation, research writing, and documentation--all in a user-friendly, accessible format. The convenient pocket size, four-colour design, spiral binding, and numerous reference aids make the book practical and easy to use--a resource students will actually reference. KEY TOPICS: Academic writing; Writing arguments; Writing in the disciplines; Presenting Writing; Emphasis; Conciseness; Parallelism; Variety and details; Appropriate words; Exact words; Verbs; Forms; Tenses; Mood; Voice; Subject--verb agreement; Pronouns; Forms; Pronoun--antecedent agreement; Pronoun reference; Modifiers; Adjectives and adverbs; Misplaced and dangling modifiers; Sentence faults; Fragments; Comma splices and fused sentences; The comma; The semicolon; The colon; The apostrophe; Quotation marks; End punctuation; Other marks; Spelling and the hyphen; Capital letters; Italics or underlining; Abbreviations; Numbers; Research strategy; Tracking Sources; Finding sources; Evaluating and synthesizing sources; Integrating sources into your text; Avoiding plagiarism; Documenting your sources; MLA documentation and format; APA documentation and format; Chicago documentation and format; CSE and IEEE documentation; Writing Online; Oral Communication; Writing for business MARKET: An essentials handbook suitable for use as a student reference and text for composition courses offered at the college and university level.