High school mathematics learning recommendations - Revision history

Vipul: /* Subject-specific recommendations */

2014-04-16T17:33:35Z

Subject-specific recommendations

← Older revision		Revision as of 17:33, 16 April 2014
Line 6:		Line 6:

	* [[Algebra learning recommendations]]		* [[Algebra learning recommendations]]
	* [[Precalculus learning recommendations]] ~~(pending)~~		* [[Precalculus learning recommendations]]
	* [[Single-variable calculus learning recommendations]]		* [[Single-variable calculus learning recommendations]]

Vipul at 01:34, 6 March 2014

2014-03-06T01:34:58Z

← Older revision		Revision as of 01:34, 6 March 2014
Line 13:		Line 13:
	===Textbooks===		===Textbooks===

	We recommend		We recommend the [[Art of Problem Solving]] textbooks. Information below:

	* Introduction to Algebra		{\| class="sortable" border="1"
	* Introduction to Geometry		! Book !! Author !! ISBN and purchase links !! Why we're recommending it
	* Intermediate Algebra		\|-
	* Precalculus		\| ''Introduction to Algebra'' \|\| Richard Rusczyk \|\| ISBN 978-1-934124-14-7, [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:algebra paperback] \|\| This is a first year high school algebra textbook published by Art of Problem Solving that teaches elements of mathematical thinking and problem solving, as opposed to rote drill. The series has been reviewed very favorably, for example, [http://www.quora.com/What-are-some-good-books-to-help-me-get-math on Quora].
	* Calculus		\|-
			\| ''Introduction to Geometry'' \|\| Richard Rusczyk \|\| ISBN 978-1-934124-08-6, [http://www.artofproblemsolving.com/Store/viewitem.php?item=intro:geometry paperback] \|\| This is a high school geometry textbook published by Art of Problem Solving that teaches elements of mathematical thinking and problem solving, as opposed to rote drill. The series has been reviewed very favorably, for example, [http://www.quora.com/What-are-some-good-books-to-help-me-get-math on Quora].
			\|-
			\| ''Measurement'' \|\| Paul Lockhart \|\| ISBN 978-0674057555, [http://www.amazon.com/Measurement-Paul-Lockhart/dp/0674057554 Amazon paperback] \|\| Paul Lockhart is a professional mathematician who spent years teaching high school and developing innovative curriculum. This offers his take on geometry and calculus. The portion on geometry can be learned concurrently with geometry, and the portion on calculus can be learned concurrently with calculus.
			\|-
			\| ''Intermediate Algebra'' \|\| Richard Rusczyk and Matthew Crawford \|\| ISBN 978-1-934124-04-8, [http://www.artofproblemsolving.com/Store/viewitem.php?item=interm:algebra paperback] \|\| This is a second year high school algebra textbook published by Art of Problem Solving, that teaches elements of mathematical thinking and problem solving, as opposed to rote drill. The series has been reviewed very favorably, for example, [http://www.quora.com/What-are-some-good-books-to-help-me-get-math on Quora].
			\|-
			\| ''Precalculus'' \|\| Richard Rusczyk \|\| ISBN 978-1-934124-16-1, [http://www.artofproblemsolving.com/Store/viewitem.php?item=precalc paperback] \|\| This is a precalculus textbook, published by Art of Problem Solving, that teaches elements of mathematical thinking and problem solving, as opposed to rote drill. The series has been reviewed very favorably, for example, [http://www.quora.com/What-are-some-good-books-to-help-me-get-math on Quora].
			\|-
			\| ''Calculus'' \|\| David Patrick \|\| ISBN 978-1-934124-24-6, [http://www.artofproblemsolving.com/Store/viewitem.php?item=calculus paperback] \|\|
			\|-
			\| ''Excursions in Calculus: An Interplay of the Continuous and the Discrete'' \|\| Robert M. Young \|\| ISBN 978-0883853177, [http://www.amazon.com/Excursions-Calculus-Continuous-Mathematical-Expositions/dp/0883853175 Amazon paperback] \|\| This book has some very nice applications of calculus, and studying it concurrently with calculus will help reinforce your understanding of calculus.
			\|-
			\|}

	from the [http://www.artofproblemsolving.com/Store/curriculum.php series of textbooks] produced by Art of Problem Solving. The series has been reviewed very favorably, for example, on Quora. The books in the series teach elements of mathematical thinking and problem solving, as opposed to rote drill.

	===Online resources===		===Online resources===

Vipul: /* Proper study of undergraduate-level mathematics */

2014-03-06T01:29:24Z

Proper study of undergraduate-level mathematics

← Older revision		Revision as of 01:29, 6 March 2014
Line 55:		Line 55:
	See these recommendations pages:		See these recommendations pages:

	* [[Lower-division undergraduate mathematics learning recommendations]]: Specifically, [[multivariable calculus learning recommendations]] and [[linear algebra learning recommendations]].		* [[Lower division undergraduate mathematics learning recommendations]]: Specifically, [[multivariable calculus learning recommendations]] and [[linear algebra learning recommendations]].
	* [[Upper-division undergraduate mathematics learning recommendations]]: Specifically, [[undergraduate analysis learning recommendations]], [[abstract algebra learning recommendations]], and [[topology learning recommendations]].		* [[Upper division undergraduate mathematics learning recommendations]]: Specifically, [[undergraduate analysis learning recommendations]], [[abstract algebra learning recommendations]], and [[topology learning recommendations]].

	===General mathematical enrichment===		===General mathematical enrichment===

Vipul at 01:28, 6 March 2014

2014-03-06T01:28:58Z

← Older revision		Revision as of 01:28, 6 March 2014
Line 1:		Line 1:
	=== Textbooks ===		This page lists recommendations for learning [[high school mathematics]].

			==Subject-specific recommendations==

			See detailed recommendations for each subject:

			* [[Algebra learning recommendations]]
			* [[Precalculus learning recommendations]] (pending)
			* [[Single-variable calculus learning recommendations]]

			==General recommendations==

			===Textbooks===

	We recommend		We recommend
Line 11:		Line 23:
	from the [http://www.artofproblemsolving.com/Store/curriculum.php series of textbooks] produced by Art of Problem Solving. The series has been reviewed very favorably, for example, on Quora. The books in the series teach elements of mathematical thinking and problem solving, as opposed to rote drill.		from the [http://www.artofproblemsolving.com/Store/curriculum.php series of textbooks] produced by Art of Problem Solving. The series has been reviewed very favorably, for example, on Quora. The books in the series teach elements of mathematical thinking and problem solving, as opposed to rote drill.

	=== Online ~~math learning~~ resources ===		===Online resources===

	~~Many of the~~ [[online ~~math~~ learning resources]] ~~that we~~ list ~~cover~~ high school ~~topics~~.		See our [[online mathematics learning resources]] for a comprehensive list of resources, most of them including content specific to high school mathematics.

	=== ~~Higher math~~ ===		==If you're looking for more==

			===Contest mathematics===

			See our [[contest mathematics learning recommendations]]. For more on the benefits of learning contest mathematics, see [[contest mathematics learning benefits]].

			===Sneak peek of higher mathematics===

	If you're a high school student interested in math for its own sake, you should consider learning some higher math while in high school.		If you're a high school student interested in math for its own sake, you should consider learning some higher math while in high school.
Line 33:		Line 51:
	* [http://www.amazon.com/Excursions-Calculus-Continuous-Mathematical-Expositions/dp/0883853175/ref=sr_sp-atf_title_1_1?s=books&ie=UTF8&qid=1392079432&sr=1-1&keywords=excursions+in+calculus Excursions in Calculus: An Interplay of the Continuous and the Discrete] by Robert Young.		* [http://www.amazon.com/Excursions-Calculus-Continuous-Mathematical-Expositions/dp/0883853175/ref=sr_sp-atf_title_1_1?s=books&ie=UTF8&qid=1392079432&sr=1-1&keywords=excursions+in+calculus Excursions in Calculus: An Interplay of the Continuous and the Discrete] by Robert Young.

	~~You may also be interested by our~~ [[~~books about mathematical history~~]].		===Proper study of undergraduate-level mathematics===

			See these recommendations pages:

			* [[Lower-division undergraduate mathematics learning recommendations]]: Specifically, [[multivariable calculus learning recommendations]] and [[linear algebra learning recommendations]].
			* [[Upper-division undergraduate mathematics learning recommendations]]: Specifically, [[undergraduate analysis learning recommendations]], [[abstract algebra learning recommendations]], and [[topology learning recommendations]].

			===General mathematical enrichment===

	~~=== Contest math ===~~		See:

	~~See our~~ [[~~contest~~ mathematics ~~learning recommendations~~]].		* [[Mathematics reading recommendations]]: This lists books about mathematics that are meant for wide audiences and can be read without paper and pencil. Most of them do not require knowledge of mathematics beyond high school.
			* [[Books about mathematical history]] provides a more detailed list of books specifically about the history of mathematics.

Vipul: Vipul moved page High school mathematics recommendations to High school mathematics learning recommendations

2014-03-06T01:09:33Z

Vipul moved page High school mathematics recommendations to High school mathematics learning recommendations

← Older revision	Revision as of 01:09, 6 March 2014
(No difference)

Vipul: /* Contest math */

2014-03-06T01:04:13Z

Contest math

← Older revision		Revision as of 01:04, 6 March 2014
Line 37:		Line 37:
	=== Contest math ===		=== Contest math ===

	We recommend [[http://www.artofproblemsolving.com/ Art of Problem Solving]]'s books, classes and book recommendations for preparing for math contests. We offer some general thoughts on the value of contest math at our [[contest ~~math~~]] ~~page~~.		See our [[contest mathematics learning recommendations]].

Jsinick: Created page with "=== Textbooks === We recommend * Introduction to Algebra * Introduction to Geometry * Intermediate Algebra * Precalculus * Calculus from the [http://www.artofproblemsolvin..."

2014-02-11T00:51:36Z

Created page with "=== Textbooks === We recommend * Introduction to Algebra * Introduction to Geometry * Intermediate Algebra * Precalculus * Calculus from the [http://www.artofproblemsolvin..."

New page

=== Textbooks ===

We recommend

* Introduction to Algebra
* Introduction to Geometry
* Intermediate Algebra
* Precalculus
* Calculus

from the [http://www.artofproblemsolving.com/Store/curriculum.php series of textbooks] produced by Art of Problem Solving. The series has been reviewed very favorably, for example, on Quora. The books in the series teach elements of mathematical thinking and problem solving, as opposed to rote drill.

=== Online math learning resources ===

Many of the [[online math learning resources]] that we list cover high school topics.

=== Higher math ===

If you're a high school student interested in math for its own sake, you should consider learning some higher math while in high school.

Some books that we recommend for learning higher math that you can learn from without knowing calculus are:

* [http://www.amazon.com/Groups-Symmetry-Discovering-Mathematics-Mathematical/dp/0821804502/ref=sr_sp-atf_title_1_2?ie=UTF8&qid=1391968674&sr=8-2&keywords=groups+and+symmetry Groups and Symmetry: A Guide to Discovering Mathematics] and [http://www.amazon.com/Knots-Surfaces-Discovering-Mathematics-Mathematical/dp/0821804510 Knots and Surfaces: A Guide to Discovering Mathematics] by David Farmer and Theodore Stanford.
* [http://www.amazon.com/The-Knot-Book-Colin-Adams/dp/0821836781/ The Knot Book] by Colin Adams.
* [http://www.amazon.com/Shape-Space-Chapman-Applied-Mathematics/dp/0824707095/ The Shape of Space] by Jeffrey Weeks.
* [http://www.amazon.com/Yearning-Impossible-Surprising-Truths-Mathematics-ebook/dp/B0049P1YVQ Yearning for the Impossible: The Surprising Truths of Mathematics] by John Stillwell.
* [http://www.amazon.com/Elementary-Number-Springer-Undergraduate-Mathematics/dp/3540761977/ref=sr_sp-btf_title_1_5?s=books&ie=UTF8&qid=1391968995&sr=1-5&keywords=number+theory Elementary Number Theory] by Jones and Jones.
* [http://www.amazon.com/Galois-Theory-Of-Algebraic-Equations/dp/9810245416 Galois' Theory Of Algebraic Equations] by Jean-Pierre Tignol.

We also recommend the following books, that assume calculus as a prerequsite:

* [http://www.amazon.com/Primer-Analytic-Number-Theory-Pythagoras-ebook/dp/B000VDMU8G/ref=sr_sp-atf_title_1_1?ie=UTF8&qid=1390085703&sr=8-1&keywords=a+primer+of+analytic+number+theory A Primer of Analytic Number Theory: From Pythagoras to Riemann] by Jeffrey Stopple.
* [http://www.amazon.com/Excursions-Calculus-Continuous-Mathematical-Expositions/dp/0883853175/ref=sr_sp-atf_title_1_1?s=books&ie=UTF8&qid=1392079432&sr=1-1&keywords=excursions+in+calculus Excursions in Calculus: An Interplay of the Continuous and the Discrete] by Robert Young.

You may also be interested by our [[books about mathematical history]].

=== Contest math ===

We recommend [[http://www.artofproblemsolving.com/ Art of Problem Solving]]'s books, classes and book recommendations for preparing for math contests. We offer some general thoughts on the value of contest math at our [[contest math]] page.