- 569 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Calculus: Concepts and Methods
About this book
The pebbles used in ancient abacuses gave their name to the calculus, which today is a fundamental tool in business, economics, engineering and the sciences. This introductory book takes readers gently from single to multivariate calculus and simple differential and difference equations. Unusually the book offers a wide range of applications in business and economics, as well as more conventional scientific examples. Ideas from univariate calculus and linear algebra are covered as needed, often from a new perspective. They are reinforced in the two-dimensional case, which is studied in detail before generalisation to higher dimensions. Although there are no theorems or formal proofs, this is a serious book in which conceptual issues are explained carefully using numerous geometric devices and a wealth of worked examples, diagrams and exercises. Mathematica has been used to generate many beautiful and accurate, full-colour illustrations to help students visualise complex mathematical objects. This adds to the accessibility of the text, which will appeal to a wide audience among students of mathematics, economics and science.
Trusted by 375,005 students
Access to over 1 million titles for a fair monthly price.
Study more efficiently using our study tools.
Information
Topic
MathematikSubtopic
Mathematische Analyse
2.3.
Some
elementary
functions
♦
x
y
0
x
y
0
n
even
n
odd
2.3.2
Exponential
functions
♦
Let
Q
be
the
set
of
rational
numbers
or
fractions,
e.g.
1
/
2,
3,
−
7
/
5.
Given
a
real
number
a
>
0,
we
can
plot
a
graph
of
y
=
a
r
for
each
r
∈
Q
.
x
y
r
a
r
y
=
a
r
0
x
y
y
=
a
x
For
irrational
numbers
(e.g.
π,
e),
we
assign
values
to
a
x
in
such
a
way
as
to
‘fill
up
the
holes’
in
the
graph
of
y
=
a
r
.
The
function
f
:
R
→
(
0
,
∞
)
then
defined
by
It
is
worth
recognizing
that
a
x
has
a
constant
base
and
a
variable
exponent
whereas
x
n
has
a
variable
base
and
a
constant
exponent.
y
=
f
(
x
)
=
a
x
has
a
graph
which
is
continuous
for
all
x
and
is
always
increasing.
2.3.3
Trigonometric
functions
♦
In
what
follows,
the
angle
x
is
always
to
be
understood
as
measured
in
radians,
where
one
radian
is
indicated
by
the
figure
on
the
right.
Because
the
total
circumference
of
a
circle
of
radius
1
is
2
π
,
53
Table of contents
- Cover
- Half Title
- Dedications
- Title Page
- Copyright
- Contents
- Preface
- Acknowledgements
- 1 Matrices and vectors
- 2 Functions of one variable
- 3 Functions of several variables
- 4 Stationary points
- 5 Vector functions
- 6 Optimisation of scalar valued functions
- 7 Inverse functions
- 8 Implicit functions
- 9 Differentials
- 10 Sums and integrals
- 11 Multiple integrals
- 12 Differential equations of order one
- 13 Complex numbers
- 14 Linear differential and difference equations
- Answers to starred exercises with some hints and solutions
- Appendix
- Index
Frequently asked questions
Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn how to download books offline
Perlego offers two plans: Essential and Complete
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 990+ topics, we’ve got you covered! Learn about our mission
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more about Read Aloud
Yes! You can use the Perlego app on both iOS and Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app
Yes, you can access Calculus: Concepts and Methods by Ken Binmore,Joan Davies in PDF and/or ePUB format, as well as other popular books in Mathematik & Mathematische Analyse. We have over one million books available in our catalogue for you to explore.