Integral, Measure and Derivative
Integral, Measure and Derivative

Author: G. E. Shilov

Publisher: Courier Corporation

Published: 2013-05-13

Total Pages: 258

ISBN-13: 0486165612

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This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.

Mathematical Thinking and Quantitative Reasoning
Mathematical Thinking and Quantitative Reasoning

Author: Richard N. Aufmann

Publisher: Cengage Learning

Published: 2007-01-12

Total Pages: 832

ISBN-13: 9780618777372

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Designed for the non-traditional Liberal Arts course, Mathematical Thinking and Quantitative Reasoning focuses on practical topics that students need to learn in order to be better quantitative thinkers and decision-makers. The author team’s approach emphasizes collaborative learning and critical thinking while presenting problem solving in purposeful and meaningful contexts. While this text is more concise than the author team’s Mathematical Excursions (© 2007), it contains many of the same features and learning techniques, such as the proven Aufmann Interactive Method. An extensive technology package provides instructors and students with a comprehensive set of support tools. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Applied College Algebra
Applied College Algebra

Author: Richard N. Aufmann

Publisher: Houghton Mifflin College Division

Published: 2003-07

Total Pages: 832

ISBN-13: 9780618073634

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Applied College Algebra is designed to provide students with a solid mathematical foundation enhanced by motivating and relevant applications. The interactive presentation of concepts supports students with a variety of learning styles and provides a comfortable transition to more advanced mathematics for all students, especially those coming from developmental courses. Chapter Prep Quizzes at the start of each chapter help students assess their prerequisite knowledge. Each question includes a section reference that students can use to get additional support and view related examples. Problem Solving Strategies to guide students in developing problem-solving skills appear at the start of each chapter. Clear Examples paired with Check Your Progress Questions are hallmark features of the Aufmann Interactive Method. After a worked-out example is presented, a similar Check Your Progress exercise helps students practice the concept. Full Solutions to Check Your Progress Questions appear in an appendix. The complete solution not only provides students full support in understanding new material, but serves as an additional example to students reviewing material for a test or quiz.

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}.

Precalculus with Limits
Precalculus with Limits

Author: Richard N. Aufmann

Publisher:

Published: 1999-11

Total Pages: 1026

ISBN-13:

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Offering more algebra review than other texts, Precalculus with Limits encourages students to actively participate in math and focus on the link between concepts and applications. The proven Aufmann Interactive Method helps students learn the process of working out problems by providing a step-by-step example with annotations accompanied by a You-Try-It exercise. Students can then pinpoint mistakes by consulting the complete solutions in the appendix.