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This book is meant to serve either as a textbook for an
interdisciplinary course in Mathematics of Design, or as a trade
book for designers. It will also be of interest for people
interested in recreational mathematics showing the connection
between mathematics and design. Topics from the book can also be
adapted for use in pre-college mathematics. Each chapter will
provide the user with ideas that can be incorporated in a design.
Background materials will be provided to show the reader the
mathematical principles that lie behind the designs.
This book aims to make the subject of geometry and its applications
easy and comfortable to understand by students majoring in
mathematics or the liberal arts, architecture and design. It can be
used to teach students at different levels of computational ability
and there is also sufficient novel material to interest students at
a higher cognitive level. While the book goes deeply into the
applications of geometry, it contains much introductory material
which up to now may not have been known to the student. The
constructive approach using compass and straightedge engages
students, not just on an intellectual level, but also at a tactile
level. This may be the only rigorous book offering geometry that
attempts to engage students outside of the mathematics discipline.
The first edition of Connections was chosen by the National
Association of Publishers (USA) as the best book in "Mathematics,
Chemistry, and Astronomy - Professional and Reference" in 1991. It
has been a comprehensive reference in design science, bringing
together in a single volume material from the areas of proportion
in architecture and design, tilings and patterns, polyhedra, and
symmetry. The book presents both theory and practice and has more
than 750 illustrations. It is suitable for research in a variety of
fields and as an aid to teaching a course in the mathematics of
design. It has been influential in stimulating the burgeoning
interest in the relationship between mathematics and design. In the
second edition there are five new sections, supplementary, as well
as a new preface describing the advances in design science since
the publication of the first edition.
The first edition of Connections was chosen by the National
Association of Publishers (USA) as the best book in "Mathematics,
Chemistry, and Astronomy - Professional and Reference" in 1991. It
has been a comprehensive reference in design science, bringing
together in a single volume material from the areas of proportion
in architecture and design, tilings and patterns, polyhedra, and
symmetry. The book presents both theory and practice and has more
than 750 illustrations. It is suitable for research in a variety of
fields and as an aid to teaching a course in the mathematics of
design. It has been influential in stimulating the burgeoning
interest in the relationship between mathematics and design. In the
second edition there are five new sections, supplementary, as well
as a new preface describing the advances in design science since
the publication of the first edition.
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