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Books > Science & Mathematics > Mathematics > Geometry > Trigonometry
Presents a thorough, no-frills introduction to trigonometry in the
general context of functions and their graphs. Emphasizes the
functional aspect of trigonometry including an introductory chapter
on general ideas of functions and graphs. Covers exponential and
logarithmic functions and the most important ideas from analytic
geometry. Provides a large selection of exercises, half of them
answered, ranging in difficulty from simple, straightforward checks
on basic concepts, to problems that integrate several ideas and may
involve applications. Features cumulative review exercises that
cover groups of chapters.
Publisher's Note: Products purchased from Third Party sellers are
not guaranteed by the publisher for quality, authenticity, or
access to any online entitlements included with the product.
DeMYSTiFieD is your solution for tricky subjects like
trigonometryIf you think a Cartesian coordinate is something from
science fiction or a hyperbolic tangent is an extremeexaggeration,
you need Trigonometry DeMYSTiFieD, Second Edition, to unravel this
topic's fundamental concepts and theories at your own pace. This
practical guide eases you into "trig," startingwith angles and
triangles. As you progress, you willmaster essential concepts such
as mapping, functions,vectors, and more. You will learn to
transform polar coordinates as well as apply trigonometry in the
real world. Detailed examples make it easy to understand the
material, and end-of-chapter quizzes and a final exam help
reinforce key ideas. It's a no-brainer! You'll learn about: Right
triangles Circular functions Hyperbolic functions Inverse functions
Geometrical optics Infinite-series expansions Trigonometry on a
sphere Simple enough for a beginner, but challenging enough for an
advanced student, Trigonometry DeMYSTiFieD,Second Edition, helps
you master this essential subject.
Geometry with Trigonometry Second Edition is a second course in
plane Euclidean geometry, second in the sense that many of its
basic concepts will have been dealt with at school, less precisely.
It gets underway with a large section of pure geometry in Chapters
2 to 5 inclusive, in which many familiar results are efficiently
proved, although the logical frame work is not traditional. In
Chapter 6 there is a convenient introduction of coordinate geometry
in which the only use of angles is to handle the perpendicularity
or parallelism of lines. Cartesian equations and parametric
equations of a line are developed and there are several
applications. In Chapter 7 basic properties of circles are
developed, the mid-line of an angle-support, and sensed distances.
In the short Chaper 8 there is a treatment of translations, axial
symmetries and more generally isometries. In Chapter 9 trigonometry
is dealt with in an original way which e.g. allows concepts such as
clockwise and anticlockwise to be handled in a way which is not
purely visual. By the stage of Chapter 9 we have a context in which
calculus can be developed. In Chapter 10 the use of complex numbers
as coordinates is introduced and the great conveniences this
notation allows are systematically exploited. Many and varied
topics are dealt with , including sensed angles, sensed area of a
triangle, angles between lines as opposed to angles between
co-initial half-lines (duo-angles). In Chapter 11 various
convenient methods of proving geometrical results are established,
position vectors, areal coordinates, an original concept mobile
coordinates. In Chapter 12 trigonometric functions in the context
of calculus are treated. New to this edition: The second edition
has been comprehensively revised over three years Errors have been
corrected and some proofs marginally improved The substantial
difference is that Chapter 11 has been significantly extended,
particularly the role of mobile coordinates, and a more thorough
account of the material is given
The International Mathematical Olympiad (IMO) is the World
Championship Competition for High School students, and is held
annually in a different country. More than eighty countries are
involved.
Containing numerous exercises, illustrations, hints and solutions,
presented in a lucid and thought- provoking style, this text
provides a wide range of skills required in competitions such as
the Mathematical Olympiad.
More than fifty problems in Euclidean geometry involving integers
and rational numbers are presented. Early chapters cover elementary
problems while later sections break new ground in certain areas and
area greater challenge for the more adventurous reader. The text is
ideal for Mathematical Olympiad training and also serves as a
supplementary text for student in pure mathematics, particularly
number theory and geometry.
Dr. Christopher Bradley was formerly a Fellow and Tutor in
Mathematics at Jesus College, Oxford, Deputy Leader of the British
Mathematical Olympiad Team and for several years Secretary of the
British Mathematical Olympiad Committee.
This book offers a guided tour of geometry from euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle problems , and it links geometry to other branches of mathematics. Many problems and examples are included to aid understanding.
Featuring updated content, vivid applications, and integrated
coverage of graphing utilities, the ninth edition of this hands-on
trigonometry text guides readers step by step, from the right
triangle to the unit-circle definitions of the trigonometric
functions. Examples with matched problems illustrate almost every
concept and encourage readers to be actively involved in the
learning process. Key pedagogical elements, such as annotated
examples, think boxes, caution warnings, and reviews, help readers
comprehend and retain the material.
This guide offers step-by-step solutions for all odd-numbered text
exercises, Chapter and Cumulative Tests, and Practice Tests with
solutions, giving you a way to check your answers.
TRIGONOMETRY is designed to help you learn to "think
mathematically." With this text, you can stop relying on merely
memorizing facts and mimicking examples--and instead develop true,
lasting problem-solving skills. Clear and easy to read,
TRIGONOMETRY illustrates how trigonometry is used and applied to
real life, and helps you understand and retain what you learn in
class.
Gain a solid understanding of the principles of trigonometry and
how these concepts apply to real life with McKeague/Turner's
TRIGONOMETRY. The book presents contemporary concepts in brief,
manageable sections using current, detailed examples and
interesting applications. Captivating illustrations such as
cycling, the Ferris wheel, and the human cannonball show
trigonometry in action. Unique Historical Vignettes offer a
fascinating glimpse at how many of the central ideas in
trigonometry began. The text is easy to read, and important
theorems and definitions are boxed so they can be quickly
identified for study purposes.
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