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Book Reviews

Review of Fundamentals With Elements of Algebra

Editorial review
This student-friendly, non-traditional text builds student confidence by providing a solid foundation in algebra concepts before introducing signed numbers. Conversational and mathematically accurate, Cass and O'Connor help students overcome fear and dislike of mathematics, develop critical-thinking and decision-making skills, improve math study strategies and prepare for subsequent courses.

Review of Introductory and Intermediate Algebra Combined : A Just in Time Approach

Editorial review
Alice Kaseberg, writes the best selling reform Algebra books on the market. These books present an effective, nontraditional approach to traditional algebra curriculum. Kaseberg's informal, interactive style makes algebra accessible to students while maintaining rigorous mathematical accuracy. Instructors find that Kaseberg's use of guided discovery and problem-solving facilitates learning new concepts and strengthens skill retention.

Review of Intermediate Algebra

Editorial review
The main objective of this book is to enable students to understand the basic techniques of intermediate algebra and to develop computational skills in using these techniques. --This text refers to an out of print or unavailable edition of this title.

Review of Pre-Algebra

Editorial review
This textbook offers consumer and personal financial topics within the context of using math as a tool for decision making. Components of this program include: Teacher's Annotated Edition Extension Activities Teacher's Resources and Answer Key MicroExam II Mac IBM 5 1/4 and IBM 3 1/2

Review of South-Western Algebra 2

Editorial review
Wreath products have arisen in many situations in both group and semigroup theory, often providing examples of unexpected behavior, but also in quite fundamental settings. They occur in many applications in science, particularly in physics and chemistry.

Reviewed by a reader, from Armenia
Wreath products have been used in many areas of group theory as well as of semigroup theory for many years. Nevertheless so far there has been no monograph devoted to this important construction. This is a reason why this book will be interesting for specialists in mentioned fields. The book consists of two parts devoted to wreath products of groups and semigroups respectively. The basic approach here in this parts are permutation groups and transformation semigroups as the constituents of the considered wreath products. Some familiarity with group theory will be important since quite a few concepts are used without explication or definition, especially for some parts of notation this may be inconvenient for some readers. References, far from being complete, are sometimes just mentioned but do not appear anywhere in the text, which the author himself points out.

Review of S.S.M. College Algebra W/Unit Circle Tri

Editorial review
This Research Note presents some recent advances in various important domains of partial differential equations and applied mathematics including equations and systems of elliptic and parabolic type and various applications in physics,mechanics and engineering.These topics are now part of various areas of science and haveexperienced tremendous development during the last decades.-------------------------------------

Review of Introductory Algebra Interact Math Windows Version

Editorial review
This research note consists of selected contributions from the 1993 International Conference on "Free Boundary Problems: Theory and Applications." These represent coherent and high-level research in the field of free boundary problems. Topics include mean curvature flows, phase transitions and material sciences, fluid mechanics and combustion problems.

Review of Ssm-College Algebra 5e

Editorial review
The conjugate gradient method is a powerful tool for the iterative solution of self-adjoint operator equations in Hilbert space.This volume summarizes and extends the developments of the past decade concerning the applicability of the conjugate gradient method (and some of its variants) to ill posed problems and their regularization. Such problems occur in applications from almost all natural and technical sciences, including astronomical and geophysical imaging, signal analysis, computerized tomography, inverse heat transfer problems, and many moreThis Research Note presents a unifying analysis of an entire family of conjugate gradient type methods. Most of the results are as yet unpublished, or obscured in the Russian literature. Beginning with the original results by Nemirovskii and others for minimal residual type methods, equally sharp convergence results are then derived with a different technique for the classical Hestenes-Stiefel algorithm. In the final chapter some of these results are extended to selfadjoint indefinite operator equations.The main tool for the analysis is the connection of conjugate gradient type methods to real orthogonal polynomials, and elementary properties of these polynomials. These prerequisites are provided in a first chapter. Applications to image reconstruction and inverse heat transfer problems are pointed out, and exemplarily numerical results are shown for these applications.

Review of Basic Algebra

Editorial review
This book completely solves the problem of representing rings (and modules over them), which are locally noetherian over subsets of their prime spectrum by structure sheaves over this subset. In order to realise this, one has to develop the necessary localization theory as well as to study local equivalents of familiar concepts like the Artin-Rees property, Ore sets and the second layer condition. The first part of the book is introductory and self-contained, and might serve as a starting course (at graduate level) on localization theory within Grothendieck categories. The second part is more specialised and provides the basic machinery needed to effectively these structure sheaves, as well as to study their functorial behaviour. In this way, the book should be viewed as a first introduction to what should be called relative noncommutative algebraic geometry.

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