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Books > Science & Mathematics > Mathematics > Geometry > Trigonometry
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.
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
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.
Clear explanations, an uncluttered and appealing layout, and
examples and exercises featuring a variety of real-life
applications have made this book popular among students year after
year. This latest edition of Swokowski and Cole's ALGEBRA AND
TRIGONOMETRY WITH ANALYTIC GEOMETRY retains these features. The
problems have been consistently praised for being at just the right
level for precalculus students. The book also provides calculator
examples, including specific keystrokes that show how to use
various graphing calculators to solve problems more quickly.
Perhaps most important--this book effectively prepares readers for
further courses in mathematics.
Dugopolski's Trigonometry, Third Edition gives students the
essential strategies to help them develop the comprehension and
confidence they need to be successful in this course. Students will
find enough carefully placed learning aids and review tools to help
them do the math without getting distracted from their objectives.
Regardless of their goals beyond the course, all students will
benefit from Dugopolski's emphasis on problem solving and critical
thinking, which is enhanced by the addition of nearly 1,000
exercises in this edition. Instructors will also find this book a
pleasure to use, with the support of an Annotated Instructor's
Edition which maps each group of exercises back to each example
within the section; pop quizzes for every section; and answers on
the page for most exercises plus a complete answer section at the
back of the text. An Insider's Guide provides further strategies
for successful teaching with Dugopolski.
Beecher, Penna, and Bittinger's Algebra and Trigonometry is known
for enabling students to "see the math" through its focus on
visualization and early introduction to functions. With the Fourth
Edition, the authors continue to innovate by incorporating more
ongoing review to help students develop their understanding and
study effectively. Mid-chapter Mixed Review exercise sets have been
added to give students practice in synthesizing the concepts, and
new Study Guide summaries provide built-in tools to help them
prepare for tests. MyMathLab has been expanded so that the online
content is even more integrated with the text's approach, with the
addition of Vocabulary, Synthesis, and Mid-chapter Mixed Review
exercises from the text, as well as example-based videos created by
the authors.
Trigonometry, Tenth Edition, by Lial, Hornsby, Schneider, and
Daniels, engages and supports students in the learning process by
developing both the conceptual understanding and the analytical
skills necessary for success in mathematics. With the Tenth
Edition, the authors recognize that students are learning in new
ways, and that the classroom is evolving. The Lial team is now
offering a new suite of resources to support today's instructors
and students. New co-author Callie Daniels has experience in all
classroom types including traditional, hybrid and online courses,
which has driven the new MyMathLab features. For example, MyNotes
provide structure for student note-taking, and Interactive Chapter
Summaries allow students to quiz themselves in interactive examples
on key vocabulary, symbols and concepts. Daniels' experience,
coupled with the long-time successful approach of the Lial series,
has helped to more tightly integrate the text with online learning
than ever before.
Generalized Trigonometric and Hyperbolic Functions highlights, to
those in the area of generalized trigonometric functions, an
alternative path to the creation and analysis of these classes of
functions. Previous efforts have started with integral
representations for the inverse generalized sine functions,
followed by the construction of the associated cosine functions,
and from this, various properties of the generalized trigonometric
functions are derived. However, the results contained in this book
are based on the application of both geometrical phase space and
dynamical systems methodologies. Features Clear, direct
construction of a new set of generalized trigonometric and
hyperbolic functions Presentation of why x2+y2 = 1, and related
expressions, may be interpreted in three distinct ways All the
constructions, proofs, and derivations can be readily followed and
understood by students, researchers, and professionals in the
natural and mathematical sciences
In this book, trigonometry is presented mainly through the solution
of specific problems. The problems are meant to help the reader
consolidate their knowledge of the subject. In addition, they serve
to motivate and provide context for the concepts, definitions, and
results as they are presented. In this way, it enables a more
active mastery of the subject, directly linking the results of the
theory with their applications. Some historical notes are also
embedded in selected chapters.The problems in the book are selected
from a variety of disciplines, such as physics, medicine,
architecture, and so on. They include solving triangles,
trigonometric equations, and their applications. Taken together,
the problems cover the entirety of material contained in a standard
trigonometry course which is studied in high school and college.We
have also added some interesting, in our opinion, entertainment
problems. To solve them, no special knowledge is required. While
they are not directly related to the subject of the book, they
reflect its spirit and contribute to a more lighthearted reading of
the material.
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 invo9lving 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 print textbook is available for students to rent for their
classes. The Pearson print rental program provides students with
affordable access to learning materials, so they come to class
ready to succeed. For courses in College Algebra &
Trigonometry. Solid support for an evolving course The College
Algebra series by Lial, Hornsby, Schneider, and Daniels combines
the experience of master teachers to help students develop the
balance of conceptual understanding and analytical skills needed to
succeed in mathematics. For this revision, integrated review is now
available in MyLab (TM) Math for every title in the series, to
accommodate varying levels of student preparation. The Review
chapter has been expanded to cover the basic algebra concepts that
students often find most challenging. MyLab Math courses include
Enhanced Sample Assignments, created by co-author Callie Daniels,
using her best practices in the classroom to maximize student
performance. Also available with MyLab Math MyLab Math is the
teaching and learning platform that empowers you to reach every
student. By combining trusted author content with digital tools and
a flexible platform, MyLab Math personalizes the learning
experience and improves results for each student. NOTE: You are
purchasing a standalone product; MyLab does not come packaged with
this content. Students, if interested in purchasing both the
loose-leaf version of the text and MyLab, ask your instructor to
confirm the correct package ISBN and Course ID. Instructors,
contact your Pearson representative for more information.
0135924545 / 9780135924549 Lial/Hornsby/Schneider/Daniels, College
Algebra & Trigonometry [Rental Edition], 7e
This book provides a thorough, intermediate-level yet concise
course in Trigonometry for use in colleges. There are 37 short
chapters, each treating one specific theme and containing worked
examples and easy exercises. Central to the work are the
trigonometric properties of triangle ABC and its associated points.
A small appendix contains some Spherical Trigonometry with
interesting problems related to the earth; a larger one for
enthusiastic students provides further lengthier exercises for
extra practice, and full solutions are supplied in the
conclusion.Compared with other books on Trigonometry, this book
covers the vast spread of topics. Especially, the author reminds
readers of the historical importance of theorems enunciated by such
contributors as Ptolemy, Euler, Morley, etc. Their names not only
invite the readers to appreciate the beauty of these results, but
also direct readers to mystery unknown.
This book provides a thorough, intermediate-level yet concise
course in Trigonometry for use in colleges. There are 37 short
chapters, each treating one specific theme and containing worked
examples and easy exercises. Central to the work are the
trigonometric properties of triangle ABC and its associated points.
A small appendix contains some Spherical Trigonometry with
interesting problems related to the earth; a larger one for
enthusiastic students provides further lengthier exercises for
extra practice, and full solutions are supplied in the
conclusion.Compared with other books on Trigonometry, this book
covers the vast spread of topics. Especially, the author reminds
readers of the historical importance of theorems enunciated by such
contributors as Ptolemy, Euler, Morley, etc. Their names not only
invite the readers to appreciate the beauty of these results, but
also direct readers to mystery unknown.
Trigonometric Functions and Complex Numbers covers the followings
areas in the International Mathematical Olympiad (IMO) and other
mathematical competitions. The contents are essential for the IMO.
A good help for students who want to improve in these areas.
Trigonometric Functions and Complex Numbers covers the followings
areas in the International Mathematical Olympiad (IMO) and other
mathematical competitions. The contents are essential for the IMO.
A good help for students who want to improve in these areas.
Normal 0 false false false Are you ready to ace calculus at the
college level? With this book, you will be Professors often say
"Students don't fail the calculus, they fail the algebra." In other
words, even if you understand calculus, your algebra and
trigonometry skills can hold you back. Here's a quick quiz--do you
remember how to: Factor trinomials? Solve equations containing
exponents and logs? Work with inverse trig functions? If not,
that's where this book comes in handy "Just-in-Time" is designed to
bolster the algebra and trigonometry skills you'll need while you
study calculus. As you make your way through the course,
"Just-in-Time" is with you every step of the way, showing you the
exact algebra or trigonometry topics that you'll need and pointing
out potential problem spots. The easy-to-use Table of Contents
features the calculus subject listed directly across from the
algebra/trigonometry skills needed to master that topic. Use this
book as your study companion and put your anxiety to rest
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