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Review of Algebra and Triginometry
Editorial review
Real Analysis and Foundations is an advanced undergraduate and
first-year graduate textbook that introduces students to introductory
topics in real analysis (or real variables), point set topology,
and the calculus of variations. This classroom-tested book features
over 350 end-of-chapter exercises that clearly develop and reinforce
conceptual topics. It also provides an excellent review chapter
on math foundations topics, as well as accessible coverage of
classical topics, such as Weirstrass Approximation Theorem,
Ascoli-Arzela Theorem and Schroeder-Bernstein Theorem. Explanations
and discussions of key concepts are so well done that Real Analysis
and Foundations will also provide valuable information for professional
aerospace and structural engineers.
Reviewed by a reader, from New Jersey,
USA
This book is an excellent text for understanding the foundations
of Analysis. I have used this book as a suplement for several
math classes. It is a good refrence tool for math majors.
Review of S.G. Algebra for College
Editorial review
Wavelets is a carefully organized and edited collection of extended
survey papers addressing key topics in the mathematical foundations
and applications of wavelet theory. The first part of the book
is devoted to the fundamentals of wavelet analysis. The construction
of wavelet bases and the fast computation of the wavelet transform
in both continuous and discrete settings is covered. The theory
of frames, dilation equations, and local Fourier bases are also
presented. The second part of the book discusses applications
of signal analysis, while the third part covers operator analysis
and partial differential equations. Each chapter in these sections
provides an up-to-date introduction to such topics as sampling
theory, probability and statistics, compression, numerical analysis,
turbulence, operator theory, and harmonic analysis.The book
is ideal for a general scientific and engineering audience,
yet it is mathematically precise. It will be an especially useful
reference for harmonic analysts, partial differential equation
researchers, signal processing engineers, numerical analysts,
fluids researchers, and applied mathematicians.
Reviewed by Massimiliano Celaschi, from
Graffignano, Viterbo Italy
The textbook, actually a collection of lectures, provides a
lot of material and examples, and it tries to lead the reader
from the basics of subject to the applications of wavelets.
Despite of the wide range presented by the chapters, the high
reciprocal independence and the completness of proposed path,
as an introductory book I would prefer the classical "Ten
Lectures on Wavelets", even if Benedetto-Frazier work could
be more suitable to get at-a-glance what people are doing (i.e.
were doing at the moment of publication) with wavelets.
Review of S.G. College Algebra W /Applications
Editorial review
Based on a conference held in Fayetteville, Arkansas, April
1993, this proceedings volume contain descriptions of the applications
of Clifford algebras in analysis, primarily the impact of Clifford
analysis on harmonic analysis. Of particular interest is the
paper based on the lectures of principal speaker Alan McIntosh,
of Macquarie U., Australia, which provides a detailed account
of the links between Clifford algebras, monogenic and harmonic
functions, and the correspondence between monogenic functions
and holomorphic functions of several complex variables under
Fourier transforms. No index. Annotation c. by Book News, Inc.,
Portland, Or.
Reviewed by kaiser@wavelets.com, from
Richmond, Virginia
I'm a newcomer to the field, and after trying several other
books, this one was my ticket. Clifford analysis has recently
emerged as a subject of fundamental importance in mathematics,
physics, and engineering. Since the first text on the subject
appeared in 1982, the field has undergone rapid and significant
changes. Although the book under review is a conference proceedings,
I found its introductory portions so well crafted that I was
able to learn the fundamentals while being led to the frontiers
of current knowledge. Obviously a lot of rigorous editorial
work has gone in to make this far from the usual volume of proceedings.
And the selection of material was no less careful, resulting
in a broad spectrum of important research while avoiding fringe
topics of little general interest. In addition, there is 16-page
"Problem Book" where all participants got a rare chance
to state what are, in their opinions, some of the great open
problems in the field. Well-done!
Review of Algebra in the Real World: 38 Enrichment Lessons for Algebra 2
Editorial review
Revealing the beauty of mathematics in the world, these enrichment
lessons from the standard Algebra II curriculum include geometric
and elementary combinatorics, quadratic and exponential relations,
and rational polynomial expressions. The resource includes worksheets,
answers and overheads. Grades 10-12
Review of Lane County Mathematics Project Problem Solving: Algebra Grade 9
Editorial review
Students' confidence will soar as they make discoveries about
whole numbers, fractions, decimals, percents, and equations!
Problem Solving in Mathematics guides students' progress with
drill and practice, grade-level topics, and challenge activities.
Each book contains blackline masters plus teacher materials
with objectives, targeted problem-solving skills, answers, and
follow-up suggestions. Ideal for students who need extra help,
Alternative Problem Solving in Mathematics (Grades 4-6) include
problems with scaled-down math computation and longer completion
times. The In-Service Guide offers problems to try and evaluation
guidelines. Grade 9
Review of Developing Skills in Algebra One (Blackline Masters, Book A)
Editorial review
From two experienced teachers, here are four books of problems
that follow the school year. Activities include order of operations,
signed number factoring, quadratic formula, linear and quadratic
function problems. Book A/Grades 8-12/From simplifying numerical
expressions to solving simple equations in one variable.
Reviewed by a reader, from Bellevue,
WA USA
This series easily contains the best algebra one worksheetsI've
ever come across. They cover absolutely every concept in thefirst
year algebra textbooks (although not necessarily in the same
order, which is why it's really important to get each of the
4 books). They provide wonderful practice for students struggling
with algebra for several reasons. 1) They begin each section
by grouping problems by solving technique, so that the student
experiences the same method repetitively. The later pages in
a section mix the problems so that the students must decide
which technique to use. 2) The quantity of exercises alone is
really helpful -- for students for whom repetition is the key,
the number of easy to "intermediate" exercises provides
enough practice to help the material "stick" with
the students.
Review of Developing Skills in Algebra One, Book C
Editorial review
From two experienced teachers, here are four books of problems
that follow the school year. Activities include order of operations,
signed number factoring, quadratic formula, linear and quadratic
function problems. Book C/Grades 8-12/Ratio, proportion, working
with linear equations, inequalities, and absolute value equations.
Reviewed by a reader, from Bellevue,
WA USA
This series easily contains the best algebra one worksheetsI've
ever come across. They cover absolutely every concept in thefirst
year algebra textbooks (although not necessarily in the same
order, which is why it's really important to get each of the
4 books). They provide wonderful practice for students struggling
with algebra for several reasons. 1) They begin each section
by grouping problems by solving technique, so that the student
experiences the same method repetitively. The later pages in
a section mix the problems so that the students must decide
which technique to use. 2) The quantity of exercises alone is
really helpful -- for students for whom repetition is the key,
the number of easy to "intermediate" exercises provides
enough practice to help the material "stick" with
the students.
Review of Algebra Warm-Ups: Short Exercises for Review and Exploration (Blackline Masters)
Editorial review
Seventy sets of ten-minute mini-lessons, each featuring five
problems and one enrichment exercise, use word problems and
equations to introduce new concepts and problem-solving strategies.
Includes blackline masters, answers, and teaching ideas. Grades
8-12
Review of Hands-On Algebra: Ready-To-Use Games & Activities for Grades 7-12
Editorial review
For grades 7-12 teachers, here's a vast collection of 159 ready-to-use
games and activities to make algebra meaningful and fun for
kids of all ability levels! Throurgh a unique three-step approach,
students gain mastery over algebra concepts and skills one activity
at a time: Activity 1 offers physical models (using available
materials) and easy-to-follow instructions to help learners
seek patterns. Activity 2 uses pictorial models like diagrams,
tables, and graphs to further help students retain and test
what they have learned. Activity 3 encourages exploration and
application of newly learned concepts and skills through cooperative
games, puzzles, problems, and graphic calculator or computer
activities. For quick access and easy use, all materials are
organized into five major sections and printed in a big 8 1/4"
x 11" lay-flat binding for easy photocopying. Following
is just a small sample of the many activities featured in each
section: 1. REAL NUMBERS, THEIR OPERATIONS, AND THEIR PROPERTIES:
Array Build-Up (Multiplication)...Splitting Things Apart (Applying
Distributive Property)...No Sign Posts! (Ordering Operations)...Rectangle
Mangle (Applying Absolute Value) 2. LINEAR FORMS: Make-and-Replace
(Evaluating Algebraic Expressions)...A Whole in One! (Linear
Equations Involving Fractions)...Switching Tracks (Solving aX
+ b = cX + d) 3. LINEAR APPLICATIONS AND GRAPHING: How Much
Additional Fencing? (Modeling Linear Relationships)...Mix It
Up! (Radio & Proporation)...Graphing Capers (Solving for
Y in terms of X) 4. QUADRATIC CONCEPTS: Factor Draw (Factoring
Second-Degree Polynomials)...Sliding Curves (Exploring Quadratic
Functions)...Squaring with Tiles (Solving by Completing the
Square) 5. SPECIAL APPLICATIONS: Great Divide (Transforming
Linear Inequalities)...Which Sum Works? (Pythagorean Theorem)...Growth
Patterns (Exponential Functions) You'll find each activity has
complete teacher directions, materials needed, and helpful examples
for discussion, homework, and quizzes. And to make your job
easier, most activities include time-saving reproducible worksheets
or game pieces for use with individual students, small groups,
or an entire class!
Reviewed by a reader, from Clemmons,
NC United States
Hands on Algebra appears to rely heavily on Algebra tiling.
That is, using tiles to demonstrate factoring, polynomial multiplication,
etc. I was looking for more of a projects book. If you are looking
for a book on how to use tiles in the classroom, THIS IS IT.
Otherwwise, look elsewhere.
Reviewed by a high-school Geometry teacher,
from Michigan
My major complaint with this book is that there is too much
TEXT!The author is apparently unaware that teachers need activities
QUICKLY! I like reading, but when I want math activities, I
don't want to have to read 600 pages to get them!Some of the
material is way too elementary for high-school students. Many
of the activities are too complicated. Students who don't understand
basic math aren't going to understand the directions to the
activities either! Also, most of the material in the book is
common knowledge and is available from other sources.
Reviewed by a reader, from SF Bay Area,
CA
I finished reading this book two weeks ago and wow! It was amazingly
simple to comprehend, but still covered what I needed to know
for 8th grade. I will probably refer back to this book until
about 11th grade.
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