|
Books > Science & Mathematics > Mathematics > Geometry > General
|
I. C. S. Reference Library: Types of Marine Boilers, Marine-Boiler Details, Marine-Boiler Accessories, Firing, Economic Combustion, Marine-Boiler Feeding, Marine-Boiler Management, Marine-Boiler Repairs, Marine-Boiler Inspection, Propulsion of Vessels, Re
(Paperback)
International Correspondence Schools
|
R630
Discovery Miles 6 300
|
Ships in 12 - 17 working days
|
|
Please note that this Floris Books edition has been revised for UK
and European notation, language and metric systems. From the early
peoples who marvelled at the geometry of nature -- the beehive and
bird's nest -- to ancient civilisations who questioned beautiful
geometric forms and asked 'why?', the story of geometry spans
thousands of years. Using only three simple tools -- the string,
the straight-edge and the shadow -- human beings revealed the basic
principles and constructions of elementary geometry. Weaving
history and legend, this fascinating book reconstructs the
discoveries of mathematics's most famous figures. Through
illustrations and diagrams, readers are able to follow the
reasoning that lead to an ingenious proof of the Pythagorean
theorem, an appreciation of the significance of the Golden Mean in
art and architecture, or the construction of the five regular
solids. This insightful and engaging book makes geometry accessible
to everyone. Readers will be fascinated with how the knowledge and
wisdom of so many cultures helped shape our civilisation today.
String, Straight-edge and Shadow is also a useful and inspiring
book for those teaching geometry in Steiner-Waldorf classrooms.
Symmetry is all around us. Of fundamental significance to the
way we interpret the world, this unique, pervasive phenomenon
indicates a dynamic relationship between objects. Combining a rich
historical narrative with his own personal journey as a
mathematician, Marcus du Sautoy takes a unique look into the
mathematical mind as he explores deep conjectures about symmetry
and brings us face-to-face with the oddball mathematicians, both
past and present, who have battled to understand symmetry's elusive
qualities.
How do you draw a heptagon? What about a heptakaidecagon? How do
you fit circles perfectly into triangles? And around them? If the
computer is down - could you do it with ruler and compass? In this
unique little book, Andrew Sutton guides you through the once
treasured principles of ruler and compass constructions, used for
centuries by architects, carpenters, stonemasons and master
craftsmen. Designed to last until the lights go out, this is a
timeless book. WOODEN BOOKS are small but packed with information.
"Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS.
"Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN
TIMES. "Excellent" NEW SCIENTIST. "Stunning" NEW YORK TIMES. Small
books, big ideas.
Understanding maths has never been easier. Combining bold, elegant
graphics with easy-to-understand text, Simply Maths is the perfect
introduction to the subject for those who are short of time but
hungry for knowledge. Covering more than 90 key mathematical
concepts from prime numbers and fractions to quadratic equations
and probability experiments, each pared-back, single-page entry
explains the concept more clearly than ever before. Organized by
major themes - number theory and systems; calculations; geometry;
algebra; graphs; ratio and proportion; measurement; probability and
statistics; and calculus - entries explain the essentials of each
key mathematical theory with simple clarity and for ease of
understanding. Whether you are studying maths at school or college,
or simply want a jargon-free overview of the subject, this
indispensable guide is packed with everything you need to
understand the basics quickly and easily.
Now widely available in English for the first time, this is Carlo
Rovelli's first book: the thrilling story of a little-known man who
created one of the greatest intellectual revolutions Over two
thousand years ago, one man changed the way we see the world. Since
the dawn of civilization, humans had believed in the heavens above
and the Earth below. Then, on the Ionian coast, a Greek philosopher
named Anaximander set in motion a revolution. He not only conceived
that the Earth floats in space, but also that animals evolve, that
storms and earthquakes are natural, not supernatural, that the
world can be mapped and, above all, that progress is made by the
endless search for knowledge. Carlo Rovelli's first book, now
widely available in English, tells the origin story of scientific
thinking: our rebellious ability to reimagine the world, again and
again.
Can we imagine a world without flowers? Flowers are beautiful,
offering us delight in their colour, fragrance and form, as well as
their medicinal benefits. Flowers also speak to us in the language
of the plant form itself, as cultural symbols in different
societies, and at the highest levels of inspiration. In this
beautiful and original book, renowned thinker and geometrist Keith
Critchlow has chosen to focus on an aspect of flowers that has
received perhaps the least attention. This is the flower as teacher
of symmetry and geometry (the 'eternal verities', as Plato called
them). In this sense, he says, flowers can be treated as sources of
remembering -- a way of recalling our own wholeness, as well as
awakening our inner power of recognition and consciousness. What is
evident in the geometry of the face of a flower can remind us of
the geometry that underlies all existence. Working from his own
flower photographs and with every geometric pattern hand-drawn, the
author reviews the role of flowers within the perspective of our
relationship with the natural world. His illuminating study is an
attempt to re-engage the human spirit in its intimate relation with
all nature.
Geometry is both elegantly simple and infinitely profound. Many
professionals find they need to be able to draw geometric shapes
accurately, and this unique book shows them how. It provides
step-by-step instructions for constructing two-dimensional
geometric shapes, which can be readily followed by a beginner, or
used as an invaluable source book by students and professionals.
Geometry of Derivation with Applications is the fifth work in a
longstanding series of books on combinatorial geometry (Subplane
Covered Nets, Foundations of Translation Planes, Handbook of Finite
Translation Planes, and Combinatorics of Spreads and Parallelisms).
Like its predecessors, this book will primarily deal with
connections to the theory of derivable nets and translation planes
in both the finite and infinite cases. Translation planes over
non-commutative skewfields have not traditionally had a significant
representation in incidence geometry, and derivable nets over
skewfields have only been marginally understood. Both are deeply
examined in this volume, while ideas of non-commutative algebra are
also described in detail, with all the necessary background given a
geometric treatment. The book builds upon over twenty years of work
concerning combinatorial geometry, charted across four previous
books and is suitable as a reference text for graduate students and
researchers. It contains a variety of new ideas and generalizations
of established work in finite affine geometry and is replete with
examples and applications.
This monograph, for the first time in book form, considers the
large structure of metric spaces as captured by bornologies:
families of subsets that contain the singletons, that are stable
under finite unions, and that are stable under taking subsets of
its members. The largest bornology is the power set of the space
and the smallest is the bornology of its finite subsets. Between
these lie (among others) the metrically bounded subsets, the
relatively compact subsets, the totally bounded subsets, and the
Bourbaki bounded subsets. Classes of functions are intimately
connected to various bornologies; e.g., (1) a function is locally
Lipschitz if and only if its restriction to each relatively compact
subset is Lipschitz; (2) a subset is Bourbaki bounded if and only
if each uniformly continuous function on the space is bounded when
restricted to the subset. A great deal of attention is given to the
variational notions of strong uniform continuity and strong uniform
convergence with respect to the members of a bornology, leading to
the bornology of UC-subsets and UC-spaces. Spaces on which its
uniformly continuous real-valued functions are stable under
pointwise product are characterized in terms of the coincidence of
the Bourbaki bounded subsets with a usually larger bornology.
Special attention is given to Lipschitz and locally Lipschitz
functions. For example, uniformly dense subclasses of locally
Lipschitz functions within the real-valued continuous functions,
Cauchy continuous functions, and uniformly continuous functions are
presented. It is shown very generally that a function between
metric spaces has a particular metric property if and only if
whenever it is followed in a composition by a real-valued Lipschitz
function, the composition has the property. Bornological
convergence of nets of closed subsets, having Attouch-Wets
convergence as a prototype, is considered in detail. Topologies of
uniform convergence for continuous linear operators between normed
spaces is explained in terms of the bornological convergence of
their graphs. Finally, the idea of a bornological extension of a
topological space is presented, and all regular extensions can be
so realized.
Key features: Presents the first elementary introduction to quantum
geometry Explores how to understand quantum geometry without prior
knowledge beyond bachelor level physics and mathematics. Contains
exercises, problems and solutions to supplement and enhance
learning
|
|