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Modular Mathematics Materials: High-quality, stable
Precalculus, Calculus and Differential Equations under 1,200 pages, under $101.
The modular mathematics materials are a concise text that covers the core
mathematics subjects for freshmen and sophomores in engineering, the sciences
and mathematics. Material is presented from an integrated point-of-view, that
is, connections to applications within the student's
grasp are used to introduce and clarify mathematical content. With low-cost production (on-demand greyscale
printing ) and low overhead (no unnecessary add-ons), a
reasonable price is achieved. If you are interested in this effort please
consider how you can contribute to this project.
For a promo flyer that describes the features of
the project click here.
For the original vision statement and an expansion
of the above paragraph click here.
We can deliver the texts electronically, as a pdf. All cross-references are
hyperlinks and animations as well as MathCAD files can be activated from the pdf.
Table of contents, MV+DE
(pdf)
Sample Module (pdf)
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Multivariable Calculus,
Differential Equations and Statistics.
This text concludes the calculus-differential equations sequence.
Substantial connections to the sciences and engineering are presented and
used to place the mathematics into a realistic context.
The multivariable calculus part is available from Fountainhead Press.
The differential equations and statistics parts have been used successfully
at Louisiana Tech University for over two years. It is available from me,
but since this part is my earliest unrevised writing, I want to re-read and
re-think it once.
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| Possible Table of contents for a "calculus only" selection (pdf) |
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Modular design and Calculus for under $60 The
project's modular design allows custom selections for any purpose. For
example, one could select only the calculus modules to arrive at a full
calculus text that should not cost students more than $60 plus tax. |
Research text on Ordered Sets.
Aside from the joy of cutting
across my area and increasing my understanding of mathematics, this text also
taught me a lot about typesetting and publishing.
 Introduction, Table of Contents, Chapter 1 (locked pdf)
Link
to Birkhäuser's site for the book (order can be
placed there)
Remarks, errata |
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Ordered Sets - An Introduction.
(Published with Birkhäuser.) This text introduces the reader to the main constructions and ideas in
the theory of ordered sets. The theme-based approach presents all constructions in a natural context and allows the reader to confront each
new concept
in a familiar setting. A multitude of exercises provides training. Open
research problems are stated at the end of practically every chapter. These
problems are understandable and possibly even solvable with the tools
introduced in the respective chapter.
Since there are few prerequisites, the text can be used
as a focused follow-up or companion to a first proof class (set theory and
relations) or to a graph theory class. After covering a comparatively lean
core, the text can be used to concentrate on topics such as, for
example,
structure theory, enumeration or algorithmic aspects. In each of these
topics the text lays a solid foundation upon which research in the area can
be started by a mathematically mature reader.
Aside from introducing open problems that have served and will continue to
serve as inspiration for research in ordered sets, the text covers some
important topics less customary to discrete mathematics/graph theory.
Among these topics are, for example an efficient introduction of homology
for graphs and the presentation of forward checking as a more efficient
alternative to the standard backtracking algorithm. These topics
as well as the many fundamental results presented give the text lasting
value as a reference.
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