Resolution of Curve and Surface Singularities in Characteristic Zero
Resolution of Curve and Surface Singularities in Characteristic Zero

Author: K. Kiyek

Publisher: Springer Science & Business Media

Published: 2012-09-11

Total Pages: 506

ISBN-13: 1402020295

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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}.

Matrix Algebra for Applied Economics
Matrix Algebra for Applied Economics

Author: Shayle R. Searle

Publisher: Wiley-Interscience

Published: 2001-09-13

Total Pages: 0

ISBN-13: 9780471322078

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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.

Basic College Mathematics with Early Integers
Basic College Mathematics with Early Integers

Author: Marvin Bittinger

Publisher: Pearson

Published: 2014-01-17

Total Pages: 0

ISBN-13: 9780321922342

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Objective: Guided Learning The Bittinger Worktext Series recognizes that math hasn't changed, but students-and the way they learn math-have. This latest edition continues the Bittinger tradition of objective-based, guided learning, while also integrating timely updates to the proven pedagogy. This edition has a greater emphasis on guided learning and helping students get the most out of all of the resources available, including new mobile learning resources, whether in a traditional lecture, hybrid, lab-based, or online course. The new edition supports students with quality applications and exercises, a new MyMathGuide workbook and video program, and an updated MyMathLab course that brings it all together! Teaching and Learning Experience This program will provide a better teaching and learning experience for you and your students. Here's how: Improve Results: MyMathLab(R) delivers proven results in helping students succeed and provides engaging experiences that personalize learning. Guide Students' Learning: The Bittinger team helps today's math students stay on task by guiding them to understand what to do and when. Reinforce Study Skills: The Bittinger program is equipped with tools and resources to help students develop effective study and learning habits that will help them in their college careers and beyond. 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: 0321951808 / 9780321951809 Basic College Mathematics with Early Integers, Plus NEW MyMathLab with Pearson eText -- Access Card Package Package consists of: 0321431308 / 9780321431301 MyMathLab -- Glue-in Access 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321922344 / 9780321922342 Basic College Mathematics with Early Integers

Strategies for Success
Strategies for Success

Author: Lynn Marecek

Publisher:

Published: 2014

Total Pages: 0

ISBN-13: 9780321969880

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Strategies for Success, Second Edition provides a series of study skills activities designed to foster student success in college mathematics. Lynn Marecek and MaryAnne Anthony-Smith encourage students to take an active approach in determining what they need to do to become successful math students. These proven, class-tested activities have been developed over many semesters from the authors' firsthand experience with their own students. This workbook contains 44 activities, in ready-to-use worksheet format. The activities can be used in several ways-individual work, group work, or large group discussion. They can be used in class or assigned as homework. An accompanying Instructor's Guide is available that contains instructions and implementation strategies for each activity to help instructors easily integrate Strategies for Success into their classes. Some of the topics covered include Notebook Preparation, Reading a Math Textbook, Successful Student Behavior, Time Management, Test Preparation Skills, Study Group Ideas, and much more. The Second Edition also includes several new activities that focus on specific study skills needed by students doing their homework exercises on a computer in online, hybrid, emporium, or redesign formats. Also, a new online module based on this study skills manual can now be incorporated into custom MyMathLab(R) courses. It includes an eBook of the Strategies for Success, Second Edition, plus videos and assignable study skills material in MyMathLab.

Basic College Math W/Early Integers Books a la Carte Edition Plus New Mymathlab with Pearson Etext - Access Card Package
Basic College Math W/Early Integers Books a la Carte Edition Plus New Mymathlab with Pearson Etext - Access Card Package

Author: Elayn Martin-Gay

Publisher: Pearson College Division

Published: 2015-02-20

Total Pages: 750

ISBN-13: 9780133858266

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NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value--this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products. xxxxxxxxxxxxxxx For courses in basic college mathematics. This package includes MyMathLab®. Every student can succeed Elayn Martin-Gay's developmental math program is motivated by her firm belief that every student can succeed. Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources. This revision of Martin-Gay's worktext series continues her focus on students and what they need to be successful. This program provides a better teaching and learning experience, for you and your students. Here's how: The new Martin-Gay Student Success Program provides an integrated teaching and learning system--combining the textbook, MyMathLab®, student and video organizers, and the video program--which is designed to help students gain the math and study skills they need for success in developmental math and beyond. Personalize learning with MyMathLab MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

Student's Solutions Manual for Finite Mathematics and Its Applications
Student's Solutions Manual for Finite Mathematics and Its Applications

Author: Larry J. Goldstein

Publisher: Pearson

Published: 2017-01-03

Total Pages: 264

ISBN-13: 9780134463445

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For Finite Math courses for students majoring in business, economics, life science, or social sciences The most relevant choice Finite Mathematics is a comprehensive yet flexible text for students majoring in business, economics, life science, or social sciences. Its varied and relevant applications are designed to pique and hold student interest, and the depth of coverage provides a solid foundation for students' future coursework and careers. Built-in, optional instruction for the latest technology--graphing calculators, spreadsheets, and WolframAlpha--gives instructors flexibility in deciding how to integrate these tools into their course. Thousands of well-crafted exercises-a hallmark of this text-are available in print and online in MyLab(TM) Math to enable a wide range of practice in skills, applications, concepts, and technology. In the 12th Edition, new co-author Steve Hair (Pennsylvania State University) brings a fresh eye to the content and MyLab(TM) Math course based on his experience in the classroom. In addition to its updated applications, exercises, and technology coverage, the revision infuses modern topics such as health statistics and content revisions based on user feedback. The authors relied on aggregated student usage and performance data from MyLab(TM) Math to improve the quality and quantity of exercises. Also available with MyLab Math MyLab(TM) Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. In the new edition, MyLab Math has expanded to include a suite of new videos, Interactive Figures, exercises that require step-by-step solutions, support for the graphing calculator, and more. Note: You are purchasing a standalone product; MyLab does not come packaged with this content. Students, if interested in purchasing this title with MyLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab, search for: 0134768639 / 9780134768632 Finite Mathematics & Its Applications plus MyLab Math with Pearson eText -- Title-Specific Access Card Package, 12/e Package consists of: 0134437764 / 9780134437767 Finite Mathematics & Its Applications 0134765729 / 9780134765723 MyLab Math plus Pearson eText -- Standalone Access Card -- for Finite Mathematics & Its Applications

Student's Solutions Manual for Intermediate Algebra
Student's Solutions Manual for Intermediate Algebra

Author: Marvin L. Bittinger

Publisher: Pearson

Published: 2017-04-03

Total Pages: 384

ISBN-13: 9780134497532

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NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLab(TM) or Mastering(TM), several versions may exist for each title -- including customized versions for individual schools -- and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering products. Used books, rentals, and purchases made outside of Pearson If purchasing or renting from companies other than Pearson, the access codes for Pearson's MyLab products may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase. For courses in Beginning Algebra. This package includes MyLab Math. The MyLab(TM) Math course for Elementary Algebra: Concepts and Applications with Integrated Review and Worksheets, 10/e from Bittinger/Ellenbogen/Johnson offers a complete beginning & intermediate algebra course with embedded review of prerequisite topics from previous courses. The Integrated Review MyLab course model can be used to bring underprepared students up to speed, helping to address the challenge of varying skill levels with one seamless MyLab Math course. Integrated Review MyLab courses provide the full suite of supporting resources for the main course content, plus additional assignments and study aids for students who will benefit from remediation. Assignments for the integrated review content are preassigned in MyLab Math, making it easier than ever to create your course. Understanding and Applying Mathematical Concepts The goal of the Bittinger Concepts and Applications Series is to help today's student learn and retain mathematical concepts. This proven program prepares students for the transition from skills-oriented elementary algebra courses to more concept-oriented college-level mathematics courses. This requires the development of critical-thinking skills: to reason mathematically, to communicate mathematically, and to identify and solve mathematical problems. The new editions support students with a tightly integrated MyLab(TM) Math course; a strong focus on problem-solving, applications, and concepts, and the robust MyMathGuide workbook and objective-based video program. In addition, new material--developed as a result of the authors' experience in the classroom, as well as from insights from faculty and students--includes more systematic review and preparation for practice, as well as stronger focus on real-world applications. Personalize learning with MyLab Math. MyLab(TM) Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. 0134788311 / 9780134788319 Elementary Algebra: Concepts and Applications with Integrated Review and Worksheets, Books a la Carte Edition plus MyLab Math with Pearson e-Text -- Access Card Package Package consists of: 0134452577 / 9780134452579 Elementary Algebra: Concepts & Applications, Books a la Carte Edition 013477941X / 9780134779416 MyLab Math with Pearson eText - Standalone Access Card - for Elementary Algebra: Concepts and Applications with Integrated Review 0134786076 / 9780134786070 Worksheets for Elementary Algebra: Concepts and Applications Integrated Review