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Books > Science & Mathematics > Mathematics > Geometry
Beginning graduate students in mathematical sciences and related
areas in physical and computer sciences and engineering are
expected to be familiar with a daunting breadth of mathematics, but
few have such a background. This bestselling book helps students
fill in the gaps in their knowledge. Thomas A. Garrity explains the
basic points and a few key results of all the most important
undergraduate topics in mathematics, emphasizing the intuitions
behind the subject. The explanations are accompanied by numerous
examples, exercises and suggestions for further reading that allow
the reader to test and develop their understanding of these core
topics. Featuring four new chapters and many other improvements,
this second edition of All the Math You Missed is an essential
resource for advanced undergraduates and beginning graduate
students who need to learn some serious mathematics quickly.
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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
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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.
MESH ist ein mathematisches Video ber vielfl chige Netzwerke und
ihre Rolle in der Geometrie, der Numerik und der Computergraphik.
Der unter Anwendung der neuesten Technologie vollst ndig
computergenierte Film spannt einen Bogen von der antiken
griechischen Mathematik zum Gebiet der heutigen geometrischen
Modellierung. MESH hat zahlreiche wissenschaftliche Preise weltweit
gewonnen. Die Autoren sind Konrad Polthier, ein Professor der
Mathematik, und Beau Janzen, ein professioneller Filmdirektor.
Der Film ist ein ausgezeichnetes Lehrmittel f r Kurse in
Geometrie, Visualisierung, wissenschaftlichem Rechnen und
geometrischer Modellierung an Universit ten, Zentren f r
wissenschaftliches Rechnen, kann jedoch auch an Schulen genutzt
werden.
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.
Strengthen your trigonometry skills and grades with this powerful
and simple tool for reviewing and referencing the most important
core concepts. Quickly find that answer you need in 6 laminated
pages rather than flipping through a large book. Used in the fields
of engineering, medical imaging, geography, land surveying, and
video game development, to name a few, you may find that
trigonometry is here to stay in your career life. Keep this tool by
your side and through it all for that extra memory jolt when you
need it. Suggested uses: Quick Reference -- instead of digging into
a large book to find a core answer you need while studying, use the
guide to reinforce quickly and repeatedly; Memory -- refreshing
your memory repeatedly is a foundation of studying, have the core
labs handy so you can focus on the larger picture.
Mechanics is quite obviously geometric, yet the traditional
approach to the subject is based mainly on differential equations.
Setting out to make mechanics both accessible and interesting for
non-mathematicians, Richard Talman augments this approach with
geometric methods such as differential geometry, differential
forms, and tensor analysis to reveal qualitative aspects of the
theory.
For easy reference, the author treats Lagrangian, Hamiltonian,
and Newtonian mechanics separately - exploring their geometric
structure through vector fields, symplectic geometry, and gauge
invariance respectively.
This second, fully revised edition has been expanded to further
emphasize the importance of the geometric approach. Starting from
Hamilton's principle, the author shows, from a geometric
perspective, how "all" of classical physics can be subsumed within
classical mechanics. Having developed the formalism in the context
of classical mechanics, the subjects of electrodynamics,
relativistic strings and general relativity are treated as examples
of classical mechanics. This modest unification of classical
physics is intended to provide a background for the far more
ambitious "grand unification" program of quantum field theory.
The final chapters develop approximate methods for the analysis
of mechanical systems. Here the emphasis is more on practical
perturbative methods than on the canonical transformation
formalism. "Geometric Mechanics" features numerous illustrative
examples and assumes only basic knowledge of Lagrangian
mechanics.
Larson's ALGEBRA AND TRIGONOMETRY, 9E, International Edition is
ideal for a two-term course and is known for delivering sound,
consistently structured explanations and carefully written
exercises of the mathematical concepts. With the Ninth Edition, the
author continues to revolutionize the way students learn material
by incorporating more real-world applications, on-going review and
innovative technology. How Do You See It? exercises give you
practice applying the concepts, and new Summarize features,
Checkpoint problems and a Companion Website reinforce understanding
of the skill sets to help students better prepare for tests.
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.
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.
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.
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