There are 38
books, if you include Answer Keys/Teachers
Editions. The Teachers Editions are simply the same book as
their counterpart, with the answers included next to most of
the problems. Purchase all the books for only
$59 on CD here.
Basic
Math
“An effort has been
made throughout the work to observe a natural and
strictly logical connection between the different parts,
so that the learner may not be required to rely on a
principle, or employ a process, with the rationale of
which he is not already acquainted”
Ray's Primary
Arithmetic. 95 pages. The first book
in the Ray's Series, Primary Arithmetic starts at the very
beginning of mathematics by teaching the children to
count. The book then slowly progresses with simple problems,
first with addition, then subtraction, then multiplication and
division. The problems are very simple, so that the child can
learn the concepts involved.
Ray's
Intellectual Arithmetic. 141 pages. Intellectual
Arithmetic begins by reviewing the basic concepts covered in
Ray's Primary Arithmetic, adding more problems and raising the
difficulty. The book then adds the new concept of Fractions.
Finally, it follows fractions with the similar concept of
percentages. As these concepts are introduced, applications for
the problems are given, showing the child how to solve
increasingly complex problems, such as how to divide the rent
of a farm between two people considering that one mans
livestock eats 1/3 less.
Ray's Elementary
Arithmetic. 192 pages. /
Rudimentary Arithmetic. 193 pages. Ray's
New Elementary Arithmetic was to a large extent a kind of
second version or redesign of Rudimentary Arithmetic, and
large portions of Rudimentary Arithmetic are incorporated
in the Elementary text. Ray's New Elementary Arithmetic is
designed to lead straight into Practical Arithmetic, by
providing an extensive amount of drill work for the
student, in order to allow the student ample time and
problems to thoroughly master the fundamentals before
moving forward.
Ray's
Practical Arithmetic. 337 pages. Practical
Arithmetic starts by quickly reviewing the basics of
addition, subtraction, multiplication and division covered
previously in Elementary Arithmetic, and then moves into a
study of different types of measurement, followed by
factoring, and a more involved study of fractions and
percentages. After these mathematical bases have been
studied and mastered, real world applications for these
mathematics are introduced. These include Transactions,
Commissions, Stock values and
investmen ts,
Interest, Discounts, Monetary exchange, Insurance
and Taxes. Practical Arithmetic then concludes by
introducing basic geometry.
Intermediate Math
”To fix the
principles in the mind of the student, and to show their
bearing and utility, great attention has been paid to the
preparation of practical exercises.”
This continual
grounding in practicality is a peculiar aspect of Ray's
Arithmetic, one which is very rare and very valuable. Modern
math books have focused so much on the abstract that the
student is left to wonder how he will ever be able to use it
in his day to day life; a feeling that easily makes
mathematics seem like a chore or useless
exercise.
Ray's Higher Arithmetic. 409 pages. A very complete
study of Arithmetic, this is the last book in the Ray's series
before the introduction of Algebra. All of the basic
mathematical methods are reviewed thoroughly; and more
complicated applications and uses are explored. Finally the
book begins the study of Geometry, and the fundamentals of
Trigonometry are introduced.
Ray's
New Elementary Algebra. 241 pages. “In introducing
Algebra to the student with Elementary Algebra, great care
has been taken to make the student feel that he is not
operating with unmeaning symbols, by means of arbitrary
rules; that Algebra is both a rational and practical
subject, and that he can rely on his reasoning, and the
results of his operations with the same confidence as in
arithmetic. For this purpose, he is furnished, at almost
every step, with the means of testing the accuracy of the
principles on which the rules are founded, and of the
results which they produce.”
I cannot stress
highly enough the importance the above paragraph has to a
student embarking on a study of Algebra. From personal
experience while studying with Saxon Algebra I know just how
frustrating it is to be told what to do, while not given any
reasons for why we are doing it or how it works. I didn't
want to simply take their word for it but prove it for
myself, a thought process most students share. And while I
did manage to work these things out eventually, it was a
slow and painful process. One of the things that make Ray's
Arithmetic such an excellent series is the attention given
to the student. Instead of neglecting the reasoning and
deducing ability of the students themselves, they are
instead encouraged to think on their own. This increases the
students interest, his understanding of the material, as
well as his recollection of studies later on.
Ray's New
Elementary Algebra focuses on the basic forms of Algebra.
Algebraic Fractions, Simple Equations, Powers, Roots,
Radicals, and finally Quadratic Equations are among the
concepts explored. As always, after a concept has been
taught, real-world applications for the process are given to
the student.
Ray's
New Higher Algebra. 407 pages. After reviewing the
fundamentals, Higher Algebra then moves on to Theorems,
Factoring, Algebraic Fractions, Quadratic Equations, Ratio,
Proportion, Binomial Theorem, etc etc. This book is quite
lengthy, thoroughly teaching algebraic concepts. While there
are relatively few problems for the student to work on and
solve, these have been supplied by Test
Problems for Ray's New Higher Algebra. 152 pages,
as well as A Complete Algebra. 359
pages.
Advanced
Math
Ray's
Treatise on Geometry and Trigonometry. 421 pages.
Begins by giving definitions for some basic geometrical
terms, then begins Geometry, starting with parallel lines,
then continuing with Arcs and Radii, the properties of
triangles, Parallelograms, measuring area, Polygons, the
geometry of space, Pyramids, Prisms, etc. The book then
continues on into the subject of Trigonometry, and supplies
logarithmic tables. No problems are supplied for the student
in this book, which instead gives all it's attention to
teaching the concepts. It is suggested that the student use
another book to provide problems while learning the
mathematical processes from this book.
Ray's
Analytic Geometry. 608 pages. Equations to the Right
Line, the Plane, Quadrics, The Ellipse, The Hyperbola, and
Properties of Conics discussed with great fullness. Abridged
Notation is introduced in this book. This book does not supply
problems for student work, focusing on teaching the
concepts.
Ray's
Differential and Integral Calculus. 442 pages.
Begins with definitions. Careful attention has been given to
the teaching of the doctrine of limits, which has been made
the basis of both the Differential and Integral Calculus.
Problems are supplied in the book.
Extra-Curricular
Texts
In order to
provide students with examples of the interesting fields
mathematical studies opens, several books of ranging
difficulties have been supplied.
Complete Book Keeping.
161 pages. An often over-looked area of study, book-keeping
will always be an important area of expertise for anyone who
earns or spends money. As the author states:
“Book-keeping... cultivates the judicial powers of the
mind... contributes to private and public virtue.. leads to
economy and thrift... and it's practice will reduce
pauperism and crime.” Beginning with the basic form of
double entry book-keeping, Debit, Credit, and all areas of
accounting are taught.
Norton's Elements of
Physics. 269 pages. This incredibly well-written
and intriguing book is so well written that it does not feel
so much like a dry text on the mathematics of physics as an
exploration of physical laws, thus allowing someone well
acquainted with physics or not at all to read this book with
great enjoyment. Carefully illustrated, this book begins by
introducing the student first to general notions of matter
and force, and then introducing new elements one by one.
Friction, adhesion, fluids, sound, light, heat, and
electricity are all explored, with careful explanations of
experiments and studies done by the scientists who explored
these properties.
Schuyler's Principles of
Logic. 169 pages. Logic is a mathematical pursuit.
How can we tell? Through logic.... Because math is based on
logical premises (induction), and then followed through in a
logical working out of the premises (deduction). The author
explains this more thoroughly, but you'll have to read the
book.
Ray's
Elements of Astronomy. 342 pages. Taking a
different approach to astronomy, rather than focusing on the
Greek names for constellations this book focuses on the
movements of heavenly bodies and the science of
astronomy.
Ray's
Surveying and Navigation. 492 pages. While this
book thoroughly covers the old art of Surveying (the same
business George Washington was in for a number of years)
this book is especially useful because of it's great
attention to the field of Plane and Spherical Trigonometry
and Mensuration, and may because of this be used as a
textbook for those fields.
Here is a complete list of all the books on
the CD, including those not mentioned above:
|