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authorChristian Kolset <christian.kolset@gmail.com>2025-04-30 09:12:41 -0600
committerChristian Kolset <christian.kolset@gmail.com>2025-04-30 09:12:41 -0600
commitc92bce22a096db9275756628613317998b083359 (patch)
treed54e1394fa846d75037abb8383713c763c82a592 /book
parenteb2830349fd1892ec68659c22bab73f26255e268 (diff)
Updated book pdf
Diffstat (limited to 'book')
-rw-r--r--book/computingME.pdfbin4060639 -> 4056336 bytes
-rw-r--r--book/module1/module1.tex2
-rw-r--r--book/module2/error.tex8
3 files changed, 4 insertions, 6 deletions
diff --git a/book/computingME.pdf b/book/computingME.pdf
index 4ef935c..298134f 100644
--- a/book/computingME.pdf
+++ b/book/computingME.pdf
Binary files differ
diff --git a/book/module1/module1.tex b/book/module1/module1.tex
index 5fd38b9..27bf133 100644
--- a/book/module1/module1.tex
+++ b/book/module1/module1.tex
@@ -7,8 +7,6 @@
\input{module1/control_structures}
\input{module1/functions}
\input{module1/classes_and_objects}
-\input{module1/fundamentals_of_programming}
-\input{module1/computing_fundamentals}
\input{module1/open_source_software}
\input{module1/1_excel_to_python}
\input{module1/computational_expense}
diff --git a/book/module2/error.tex b/book/module2/error.tex
index 2646dc8..d515c4a 100644
--- a/book/module2/error.tex
+++ b/book/module2/error.tex
@@ -29,12 +29,12 @@ part of the computation}. An example of this could be using a finite
number of terms from a Taylor Series expansion to approximate a
function.
-Approximating \(e^x\) by the first few terms of its Taylor series:
+Approximating $e^x$ by the first few terms of its Taylor series:
-\[e^x \approx 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!}​\]
+$e^x \approx 1 + x +\frac{x^2}{2!} + \frac{x^3}{3!}$
The error comes from \textbf{neglecting} all the higher order terms
-(\(\frac{x^4}{4!}, \frac{x^5}{5!}\), \ldots).
+($\frac{x^4}{4!}, \frac{x^5}{5!}$), \ldots).
Truncation error occurs when using numerical methods such as
approximating and calculating derivatives and integrals. A
@@ -57,7 +57,7 @@ algorithms.
Round-off error is caused by \textbf{the limited precision} with which
computers represent numbers. Since computers cannot store an infinite
number of digits, \textbf{they round off} after a certain number of
-decimal or binary places. For example, instead of representing π with
+decimal or binary places. For example, instead of representing pi with
infinite decimal places it may be rounded off to approximately 16 digits
depending on number of bits and the representation of the bits.