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Book Reviews

Review of Intermediate Algebra

Editorial review
Text/workbook for low level and English as a second language students. Uses applications of algebra to the real world throughout. Annotation copyright Book News, Inc. Portland, Or. --This text refers to an out of print or unavailable edition of this title.

Review of Imtermediate Algebra

Reviewed by a reader, from Milpitas, California USA
This book is recommended for any guy looking to be on top of the world of math. The book clearly and completely shows how to go about solving problems. Every problem in the book is solved in the back, step-by-step, not just giving the answers.also, it also covers a wide array of topics.

Review of Interactive Math for Introductory Algebra

Editorial review
Key Benefit: Interactive Mathematics is an innovative new learning system that covers the full series of developmental mathematics in an interactive, multimedia environment. Interactive Math uses animation, video, audio, graphics, and math tools to support multiple learning styles. It is a program complete with instruction, practice, applications, and assessment. Key Topics: Introduction — A brief teaching statement directs the reader's attention toward mastering a particular skill. A visual representation of the skill is also presented. Read — Book with accompanying audio (which may be disabled) addresses the needs of those who feel more comfortable reading about the concepts and skills before exploring or working problems. Watch — Visual learners can watch and listen as example problems are worked out clearly and completely by the author in a brief on-screen video. Explore — This feature offers the most interactive learning experience because one can master the skills and learn the concept through discovery.

Reviewed by nancyeve, from Orange County, CA United States
First, just to clarify, access to the on-line portion of this workbook/CD is through the systems at Prentice Hall, via the educational institution.The only reason I did not give this 5 stars is because they are still working out some of the software bugs. A number of my classmates had problems running this program on their computers at home, though I had virtually none. The few problems I did have were just the sometimes slow response times moving from the problem sets to the syllabus.Basically, I loved using this program! The many options for learning on the computer alone helped me to fly though this class. (As of 11/01 I am still in class but well on my way to receiving an "A"). If I get stuck on a concept, there are many options for working through it from being shown a brief video, reading about it, or just being taken step by step through a problem on which I am working. One finds out immediately if their answer to a problem is right or wrong. If wrong, there are several different ways of finding out why, and actually being taken through THAT PROBLEM step by step in order to assist in understanding the concept so that the next problem is done with greater understandng and ease. All in all, I found the learning process enhanced using this program. It was and is an extremely valuable educational tool for me. We will, I am told, be using a different program next year (Algebra II), I think I will miss this one!

Reviewed by Joi Cardinal, from northern California
I've never done well at math in high school or college, but now that I'm re-entering college in my 40s, I really have to learn it in order to succeed in biology and chemistry courses. Thank heavens my local community college has adopted K. Elayn Martin-Gay's phenomenal Interactive Math program as an online course. The package consists of easy to install and very easy to use software on a CD-ROM which communicates with Prentice Hall's computer, a paperback textbook which contains all the teaching material that is in the software as well as additional problem sets and chapter tests for away-from-computer use, and a detailed student handbook explaining the program and its use as well as offering many valuable study skill tips. The software is broken down by the chapter subheadings with each discrete topic covered having its own section. Each section consists of an introduction screen, then three different options for learning that suit different learning styles. If one is most comfortable with reading a traditional textbook, then the concept can be learned that way. People who learn best by watching and listening to an instructor can watch short video clips of Martin-Gay explaining each concept. Those who are most comfortable with experimenting with numbers will enjoy the explore option which provides tools for playing with numbers and deducing the concepts through the patterns of responses that emerge. Finally, each section ends with a practice set of problems to check understanding, then an assessment set of problems, the results of which are then posted to the grade book which is accessed by the professor for the class. Each chapter ends with a more lengthy test which is also posted to the gradebook. I never thought I'd enjoy math so much that I'd look forward to studying it, but this program has made all the difference. Instead feeling totally lost and only able to solve problems that are like the examples given in the textbook, I'm now perceiving math to be fun puzzles that are satisfying to work out. I sincerely hope the author goes on to create additional programs for more advanced math work in time for me to use them!

Review of Algebra: Tools for a Changing World

Reviewed by titasusan, from Fort Washington, Maryland United States
This book is great for practice but practice only. The methods on how to solve the problems are not explained.This book is for practice and not to be confused as the textbook.

Review of Introductory Algebra

Editorial review
The second volume of a three-book series designed for students with introductory algebra as a prerequisite of their course. This edition emphasizes real-world applications of algebra, and includes geometric applications and exercise and problem sets.

Review of Experiencing Intermediate Algebra

Editorial review
A text for a one-semester course in intermediate algebra, designed to help students model real-world situations, reason mathematically, choose appropriate problem-solving methods, connect algebra to other disciplines, and communicate mathematics. Concepts are developed using numeric, graphic, algebraic, and verbal approaches. Numeric presentation emphasizes tables of values, either constructed manually or by using a calculator. Assumes students have a TI-83 graphic calculator available. The authors are affiliated with Pellissippi State Technical Community College. -- Copyright © 2000 Book News, Inc., Portland, OR All rights reserved

Review of Intermediate Algebra for College Students (5th Edition)

Editorial review
Angel's text is one that students can read, understand, and enjoy. With short sentences, clear explanations, many detailed worked examples, and outstanding pedagogy. Practical applications of algebra throughout make the subject more appealing and relevant for students. Key pedagogical features include: Preview and Perspective at the beginning of each chapter; Helpful Hints; Group Activities/Challenge Problems, Writing, exercises, Real-Life Application Problems; and Calculator and Graphing Calculator Corners. --This text refers to the Hardcover edition.

Reviewed by a reader, from NC United States
I used this book to challenge my Intermediate Algebra course, and I passed the exams. This book explain clearly the steps to the questions.

Review of Intermediate Algebra Concepts and Applications with Algebra for College Students Sticker Package

Editorial review
Preface For the past half century many introductory differential equations courses for science and engineering students have emphasized the formal solution of standard types of differential equations using a (seeming) grab-bag of mechanical solution techniques. The evolution of the present text is based on experience teaching a new course with a greater emphasis on conceptual ideas and the use of computer lab projects to involve students in more intense and sustained problem-solving experiences. Both the conceptual and the computational aspects of such a course depend heavily on the perspective and techniques of linear algebra. Consequently, the study of differential equations and linear algebra in tandem reinforces the learning of both subjects. In this book we have therefore combined core topics in elementary differential equations with those concepts and methods of elementary linear algebra that are needed for a contemporary introduction to differential equations. The availability of technical computing environments like Maple, Mathematica, and MATLAB is reshaping the current role and applications of differential equations in science and engineering, and has shaped our approach in this text. New technology motivates a shift in emphasis from traditional manual methods to both qualitative and computer-based methods thatrender accessible a wider range of more realistic applications; permit the use of both numerical computation and graphical visualization to develop greater conceptual understanding; and encourage empirical investigations that involve deeper thought and analysis than standard textbook problems. Major Features The following features of this text are intended to support a contemporary differential equations course with linear algebra that augments traditional core skills with conceptual perspectives:The organization of the book emphasizes linear systems of algebraic and differential equations. Chapter 3 introduces matrices and determinants as needed for concrete computational purposes. Chapter 4 introduces vector spaces in preparation for understanding (in Chapter 5) the solution set of an nth order homogeneous linear differential equation as an n-dimensional vector space of functions, and for realizing that finding a general solution of the equation amounts to finding a basis for its solution space. (Students who proceed to a subsequent course in abstract linear algebra may benefit especially from this concrete prior experience with vector spaces.) Chapter 6 introduces eigenvalues and eigenvectors in preparation for solving linear systems of differential equations in Chapters 7 and 8. In Chapter 8 we may go a bit further than usual with the computation of matrix exponentials. These linear tools are applied to the analysis of nonlinear systems and phenomena in Chapter 9. We have trimmed the coverage of certain seldom-used topics and added new topics in order to place throughout a greater emphasis on core techniques as well as qualitative aspects of the subject associated with direction fields, solution curves, phase plane portraits, and dynamical systems. To this end we combine symbolic, graphic, and numeric solution methods wherever it seems advantageous. A healthy computational flavor should be evident in figures, examples, problems, and projects throughout the text. Discussions and examples of the mathematical modeling of real-world phenomena appear throughout the book. Students learn through modeling and empirical investigation to balance the questions of what equation to formulate, how to solve it, and whether a solution will yield useful information. Students also need to understand the role of existence and uniqueness theorems in the subject. While it may not be feasible to include proofs of these fundamental theorems along the way in a elementary course, students need to see precise and clear-cut statements of these theorems. We include appropriate existence and uniqueness proofs in the appendices, and occasionally refer to them in the main body of the text. Computer methods for the solution of differential equations and linear systems of equations are now common, but we continue to believe that students need to learn certain analytical methods of solution (as in Chapters 1 and 5). One reason is that effective and reliable use of numerical methods often requires preliminary analysis using standard elementary techniques; the construction of a realistic numerical model often is based on the study of a simpler analytical model. We therefore continue to stress the mastery of traditional solution techniques (especially through the inclusion of extensive problem sets). Computational Flavor The following features highlight the computational flavor that distinguishes much of our exposition. About 250 computer-generated graphics—over half of them new for this version of the text, and most constructed using MATLAB—show students vivid pictures of direction fields, solution curves, and phase plane portraits that bring symbolic solutions of differential equations to life. Over 30 computing projects follow key sections throughout the text. These "technology neutral" project sections illustrate the use of computer algebra systems like Maple, Mathematica, and MATLAB, and seek to actively engage students in the application of new technology. A fresh numerical emphasis that is afforded by the early introduction of numerical solution techniques in Chapter 2 (on mathematical models and numerical methods). Here and in Section 7.6, where numerical techniques for systems are treated, a concrete and tangible flavor is achieved by the inclusion of numerical algorithms presented in parallel fashion for systems ranging from graphing calculators to MATLAB. A conceptual perspective shaped by the availability of computational aids, which permits a leaner and more streamlined coverage of certain traditional manual topics (like exact equations and variation of parameters) in Chapters 1 and 5. Applications To sample the range of applications in this text, take a look at the following questions:What explains the commonly observed time lag between indoor and outdoor daily temperature oscillations? (Section 1.5) What makes the difference between doomsday and extinction in alligator populations? (Section 2.1) How do a unicycle and a two-axle car react differently to road bumps? (Sections 5.6 and 7.4) Why might an earthquake demolish one building and leave standing the one next door? (Section 7.4) Why might an eartquake demolish one building and leave standing the one next door? (Section 7.4) How can you predict the time of next perihelion passage of a newly observed comet? (Section 7.6) What determines whether two species will live harmoniously together, or whether competition will result in the extinction of one of them and the survival of the other? (Section 9.3) Organization and Content The organization and content of the book may be outlined as follows:After a precis of first-order equations in Chapter 1—with a somewhat stream-lined coverage of certain traditional symbolic methods—Chapter 2 offers an early introduction to mathematical modeling, stability and qualitative properties of differential equations, and numerical methods. This is a combination of topics that ordinarily are dispersed later in an introductory course. Chapters 3 (Linear Systems and Matrices), 4 (Vector Spaces), and 6 (Eigenvalues and Eigenvectors) provide concrete and self-contained coverage of the elementary linear algebra concepts and techniques that are needed for the solution of linear differential equations and systems. Chapter 6 concludes with applications of diagonizable matrices and a proof of the Cayley-Hamilton theorem for such matrices. Chapter 5 exploits the linear algebra of Chapters 3 and 4 to present efficiently the theory and solution of single linear differential equations. Chapter 7 is based on the eigenvalue approach to linear systems, and includes (in Section 7.5) the Jordan normal form for matrices and its application to the general Cayley-Hamilton theorem. This chapter includes an unusual number of applications (ranging from railway cars to earthquakes) of the various cases of the eigenvalue method, and concludes in Section 7.6 with numerical methods for systems. Chapter 8 is devoted to matrix exponentials with applications to linear systems of differential equations. The spectral decomposition method of Section 8.3 offers students an especially concrete approach to the computation of matrix exponentials. Our treatment of this material owes much to advice and course notes provided by Professor Dar-Veig Ho of the Georgia Institute of Technology. Chapter 9 exploits linear methods for the investigation of nonlinear systems and phenomena, and ranges from phase plane analysis to applications involving ecological and mechanical systems. Chapters 10 treats Laplace transform methods for the solution of constant-coefficient linear differential equations with a goal of handling the piecewise continuous and periodic forcing functions that are common in engineering applica

Review of HBJ Algebra 1

Reviewed by Tom, from Boston
Excellent no nonsense book BUT I did find a couple errors that will drive students nuts...page 303 top, 3 not right.page 150 and 151, numbers 22 and 38 can not be solved. I actually got the author on the phone who said "the answer is the empty set" which in my opinion just means that the author goofed and made problems that couldn't be solved.This far exceeds all other algebra books I've seen. Old but still excellent.


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