Elementary number theory learning recommendations - Revision history

Vipul: /* Top recommendations */

2014-03-06T02:28:14Z

Top recommendations

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	==Top recommendations==		==Top recommendations==

	===~~Books~~===		===Best books===

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Vipul: /* Top recommendations */

2014-03-06T02:28:03Z

Top recommendations

← Older revision		Revision as of 02:28, 6 March 2014
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	==Top recommendations==		==Top recommendations==

			===Books===

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	\| ''Elementary Number Theory: Second Edition (Dover Books on Mathematics) [Paperback]'' \|\| Underwood Dudley \|\| ISBN 978-0486469317, [http://www.amazon.com/Elementary-Number-Theory-Edition-Mathematics/dp/048646931X Amazon paperback] \|\| ~$9 (Kindle, paperback), ~$120 (hardcover) \|\| We recommend it mainly on account of price, and on account of the fact that the range of topics is sufficiently straightforward that quality variation is not huge.		\| ''Elementary Number Theory: Second Edition (Dover Books on Mathematics) [Paperback]'' \|\| Underwood Dudley \|\| ISBN 978-0486469317, [http://www.amazon.com/Elementary-Number-Theory-Edition-Mathematics/dp/048646931X Amazon paperback] \|\| ~$9 (Kindle, paperback), ~$120 (hardcover) \|\| We recommend it mainly on account of price, and on account of the fact that the range of topics is sufficiently straightforward that quality variation is not huge.
	\|}		\|}

			===Free online books===

			These are available free, making it useful to have them as supplements, even though they may not be suitable as primary texts:

			* [http://www.artofproblemsolving.com/Forum/download/file.php?id=32932 Elementary Number Theory] by W. Edwin Clark
			* [http://www.artofproblemsolving.com/Forum/download/file.php?id=32929 Elementary Number Theory] by William Stein

Vipul: /* Top recommendations */

2014-02-15T05:31:59Z

Top recommendations

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	\| ''Elementary Number Theory: Second Edition (Dover Books on Mathematics) [Paperback]'' \|\| Underwood Dudley \|\| ISBN 978-0486469317, [http://www.amazon.com/Elementary-Number-Theory-Edition-Mathematics/dp/048646931X Amazon paperback] \|\| ~$9 (Kindle, paperback), ~$120 (hardcover) \|\| We recommend it mainly on account of price, and on account of the fact that the range of topics is sufficiently straightforward that quality variation is not huge.		\| ''Elementary Number Theory: Second Edition (Dover Books on Mathematics) [Paperback]'' \|\| Underwood Dudley \|\| ISBN 978-0486469317, [http://www.amazon.com/Elementary-Number-Theory-Edition-Mathematics/dp/048646931X Amazon paperback] \|\| ~$9 (Kindle, paperback), ~$120 (hardcover) \|\| We recommend it mainly on account of price, and on account of the fact that the range of topics is sufficiently straightforward that quality variation is not huge.
	\|-
	\| ''Elementary Number Theory'' \|\| David Burton \|\| [http://www.amazon.com/Elementary-Number-Theory-David-Burton/dp/0073383147/ Amazon hardcover] \|\| ~$175 (hardcover purchase), ~$120 (Kindle) \|\| covers all the standard topics of elementary number theory well. However, it is much more expensive than Jones & Jones, without being substantially better. We'd recommend this only if you can get a cheap secondhand version.
	\|}		\|}

Vipul at 02:57, 14 February 2014

2014-02-14T02:57:27Z

← Older revision		Revision as of 02:57, 14 February 2014
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	{{subject learning recommendations\|elementary number theory}}		{{subject learning recommendations\|elementary number theory}}

			{{quotation\|'''NOT TO BE CONFUSED WITH''' arithmetic in the sense of computation and number sense. For recommendations on arithmetic, see [[arithmetic learning recommendations]]}}

	Elementary number theory is a fascinating discipline of mathematics that modestly extends the base of arithmetic knowledge acquired in elementary and middle school and in the process lays the foundation for ideas of [[abstract algebra]]. It can also serve as an excellent introduction to the general mathematical way of thinking, including mathematical exploration, hypothesis formulation, and proof discovery. It is also a topic neglected from many undergraduate mathematics curricula, and is typically offered as an optional course rather than a component of the standard mathematical course sequences.		Elementary number theory is a fascinating discipline of mathematics that modestly extends the base of arithmetic knowledge acquired in elementary and middle school and in the process lays the foundation for ideas of [[abstract algebra]]. It can also serve as an excellent introduction to the general mathematical way of thinking, including mathematical exploration, hypothesis formulation, and proof discovery. It is also a topic neglected from many undergraduate mathematics curricula, and is typically offered as an optional course rather than a component of the standard mathematical course sequences.

Vipul at 02:55, 14 February 2014

2014-02-14T02:55:04Z

← Older revision		Revision as of 02:55, 14 February 2014
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	{{subject learning recommendations\|elementary number theory}}		{{subject learning recommendations\|elementary number theory}}

	Elementary number theory is a fascinating discipline of mathematics that modestly extends the base of arithmetic knowledge acquired in elementary and middle school and in the process lays the foundation for ideas of [[abstract algebra]]. It can also serve as an excellent introduction to the general mathematical way of thinking, including mathematical exploration, hypothesis formulation, and proof discovery.		Elementary number theory is a fascinating discipline of mathematics that modestly extends the base of arithmetic knowledge acquired in elementary and middle school and in the process lays the foundation for ideas of [[abstract algebra]]. It can also serve as an excellent introduction to the general mathematical way of thinking, including mathematical exploration, hypothesis formulation, and proof discovery. It is also a topic neglected from many undergraduate mathematics curricula, and is typically offered as an optional course rather than a component of the standard mathematical course sequences.

	Elementary number theory is also an important component of [[contest mathematics]].		Elementary number theory is also an important component of [[contest mathematics]].

Vipul: /* Top recommendations */

2014-02-14T02:45:08Z

Top recommendations

← Older revision		Revision as of 02:45, 14 February 2014
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	\| ''Elementary Number Theory (Springer Undergraduate Mathematics Series) [Paperback]'' \|\| Gareth A. Jones and Josephine M. Jones (popularly known as Jones & Jones) \|\| ISBN 978-3540761976, [http://www.amazon.com/Elementary-Number-Springer-Undergraduate-Mathematics/dp/3540761977 Amazon paperback] \|\| $25-50 \|\| covers all the standard topics of elementary number theory well		\| ''Elementary Number Theory (Springer Undergraduate Mathematics Series) [Paperback]'' \|\| Gareth A. Jones and Josephine M. Jones (popularly known as Jones & Jones) \|\| ISBN 978-3540761976, [http://www.amazon.com/Elementary-Number-Springer-Undergraduate-Mathematics/dp/3540761977 Amazon paperback] \|\| $25-50 \|\| covers all the standard topics of elementary number theory well
	\|-		\|-
	\| ''Elementary Number Theory: Second Edition (Dover Books on Mathematics) [Paperback]'' \|\| Underwood Dudley \|\| ISBN 978-0486469317, [http://www.amazon.com/Elementary-Number-Theory-Edition-Mathematics/dp/048646931X Amazon paperback \|\| ~$9 (Kindle, paperback), ~$120 (hardcover) \|\| We recommend it mainly on account of price, and on account of the fact that the range of topics is sufficiently straightforward that quality variation is not huge.		\| ''Elementary Number Theory: Second Edition (Dover Books on Mathematics) [Paperback]'' \|\| Underwood Dudley \|\| ISBN 978-0486469317, [http://www.amazon.com/Elementary-Number-Theory-Edition-Mathematics/dp/048646931X Amazon paperback] \|\| ~$9 (Kindle, paperback), ~$120 (hardcover) \|\| We recommend it mainly on account of price, and on account of the fact that the range of topics is sufficiently straightforward that quality variation is not huge.
	\|-		\|-
	\| ''Elementary Number Theory'' \|\| David Burton \|\| [http://www.amazon.com/Elementary-Number-Theory-David-Burton/dp/0073383147/ Amazon hardcover] \|\| ~$175 (hardcover purchase), ~$120 (Kindle) \|\| covers all the standard topics of elementary number theory well. However, it is much more expensive than Jones & Jones, without being substantially better. We'd recommend this only if you can get a cheap secondhand version.		\| ''Elementary Number Theory'' \|\| David Burton \|\| [http://www.amazon.com/Elementary-Number-Theory-David-Burton/dp/0073383147/ Amazon hardcover] \|\| ~$175 (hardcover purchase), ~$120 (Kindle) \|\| covers all the standard topics of elementary number theory well. However, it is much more expensive than Jones & Jones, without being substantially better. We'd recommend this only if you can get a cheap secondhand version.
	\|}		\|}

Vipul: Created page with "{{subject learning recommendations|elementary number theory}} Elementary number theory is a fascinating discipline of mathematics that modestly extends the base of arithmetic..."

2014-02-14T02:44:42Z

Created page with "{{subject learning recommendations|elementary number theory}} Elementary number theory is a fascinating discipline of mathematics that modestly extends the base of arithmetic..."

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{{subject learning recommendations|elementary number theory}}

Elementary number theory is a fascinating discipline of mathematics that modestly extends the base of arithmetic knowledge acquired in elementary and middle school and in the process lays the foundation for ideas of [[abstract algebra]]. It can also serve as an excellent introduction to the general mathematical way of thinking, including mathematical exploration, hypothesis formulation, and proof discovery.

Elementary number theory is also an important component of [[contest mathematics]].

==Top recommendations==

{| class="sortable" border="1"
! Book !! Author !! ISBN and purchase links !! Price estimate (approximate value, international editions may be cheaper) !! Why we're recommending it
|-
| ''Elementary Number Theory (Springer Undergraduate Mathematics Series) [Paperback]'' || Gareth A. Jones and Josephine M. Jones (popularly known as Jones & Jones) || ISBN 978-3540761976, [http://www.amazon.com/Elementary-Number-Springer-Undergraduate-Mathematics/dp/3540761977 Amazon paperback] || $25-50 || covers all the standard topics of elementary number theory well
|-
| ''Elementary Number Theory: Second Edition (Dover Books on Mathematics) [Paperback]'' || Underwood Dudley || ISBN 978-0486469317, [http://www.amazon.com/Elementary-Number-Theory-Edition-Mathematics/dp/048646931X Amazon paperback || ~$9 (Kindle, paperback), ~$120 (hardcover) || We recommend it mainly on account of price, and on account of the fact that the range of topics is sufficiently straightforward that quality variation is not huge.
|-
| ''Elementary Number Theory'' || David Burton || [http://www.amazon.com/Elementary-Number-Theory-David-Burton/dp/0073383147/ Amazon hardcover] || ~$175 (hardcover purchase), ~$120 (Kindle) || covers all the standard topics of elementary number theory well. However, it is much more expensive than Jones & Jones, without being substantially better. We'd recommend this only if you can get a cheap secondhand version.
|}