**16/17th Century**

R Recorde, The Castle of Knowledge [1556]

**R Recorde, The Whetstone of Whitte [1557]**

**R Recorde (updated by John Dee) The Ground of Arts: Teaching the Perfect Worke and Practise of Arithmeticke [1618]**

Johnson, Johnsons Arithmatick [c1622]

R Jager, Artifical Arithmetick in Decimals [1651]

J Moxon, Mathematicks Made Easy (a dictionary) [1679]

J Wallis, A Treatise of Algebra [1685]

J Ayres, Arithmetick: a treatise designed for the use and benefit of tradesmen [1695]

R Jager, Artifical Arithmetick in Decimals [1651]

J Moxon, Mathematicks Made Easy (a dictionary) [1679]

J Wallis, A Treatise of Algebra [1685]

J Ayres, Arithmetick: a treatise designed for the use and benefit of tradesmen [1695]

J Hodder, Hodder's Arithmetick [1702]

E Cocker, Cocker's Arithmetick [1702]

E Wingate, Mr. Wingate's Arithmetick [1704]

J Hill, Arithmetick Both in the Theory and Practice [1716]

D Spence, Arithmetick Compendiz'd [1721]

W Gravesande, The Elements of Universal Mathematics, or Algebra [1728]

R Fleming, Ne plus ultra: or, a sure guide to youth in arithmetick [1731]

S Stonehouse, A Treatise of Arithmetic: Explain'd in a New Method [1737]

C Freiherr von Wolff, Elementa matheseos universæ. A Treatise of Algebra [1739]

E Cocker, Cocker's Arithmetick [1702]

J Harris, A New Short Treatise of Algebra [1702]

E Wingate, Mr. Wingate's Arithmetick [1704]

J Hill, Arithmetick Both in the Theory and Practice [1716]

D Spence, Arithmetick Compendiz'd [1721]

J Ward, A Compendium of Algebra [1724]

E Hatton, An Intire System of Arithmetic … [1731]

S Stonehouse, A Treatise of Arithmetic: Explain'd in a New Method [1737]

C Freiherr von Wolff, Elementa matheseos universæ. A Treatise of Algebra [1739]

N Saunderson, The Elements of Algebra: In Ten Books [1740]

J Wilson, An introduction to arithmetick, containing the arithmetick of integers... [1741]

J Wilson, An introduction to arithmetick, containing the arithmetick of integers... [1741]

C MacLaurin, A Treatise of Algebra [1748]

N Hammond, The Elements of Algebra in a New and Easy Method [1752]

J Scott, An epitome of arithmetic [1753]

R Gadesby, A treatise of decimal arithmetic [1757]

B Donn, A new introduction to the mathematicks, being essays on vulgar and decimal arithmetick

[1758]

A & J Birks, Arithmetical Collections and Improvements [1766]

T Sadler, A Complete System of Practical Arithmetic [1773]

J Mole, Elements of Algebra: To which is Prefixed, a Choice Collection of Arithmetical Questions [1788]J Scott, An epitome of arithmetic [1753]

R Gadesby, A treatise of decimal arithmetic [1757]

B Donn, A new introduction to the mathematicks, being essays on vulgar and decimal arithmetick

[1758]

A & J Birks, Arithmetical Collections and Improvements [1766]

T Sadler, A Complete System of Practical Arithmetic [1773]

R Barnes, A Short Practical Treatise of Arithmetic [1793]

W Trail, Elements of Algebra [1796]

**19th Century**

P Deighan, A Complete Treatise on Arithmetic, Rational and Practical [1804]

G Jones, A System of Practical Arithmetic [1805]

H Colebrook (translator), Algebra, with arithmetic and mensuration, from the Sanscrit ... [1817]

Dewolf & Brown, The First Lines of Arithmetic [1818]*

S Lacroix, An Elementary Treatise on Arithmetic [1818]G Jones, A System of Practical Arithmetic [1805]

H Colebrook (translator), Algebra, with arithmetic and mensuration, from the Sanscrit ... [1817]

Dewolf & Brown, The First Lines of Arithmetic [1818]*

B Bridge, A Treatise on the Elements of Algebra [1826]

J Hind, The Elements of Algebra (university level) [1830]

J Hind, The Elements of Algebra (university level) [1830]

G Peacock, A Treatise on Algebra [1830]

T Conkling, Conkling’s Arithmetic [1831]

A De Morgan, On the Study and Difficulties of Mathematics [1831]*

B Greenleaf, The Complete Arithmetic, Oral and Written [1831]

C Hutton, A Course of Mathematics: Composed for the Use of the Royal Military Academy [1833]

G Darley, A System of Popular Algebra [1836]C Hutton, A Course of Mathematics: Composed for the Use of the Royal Military Academy [1833]

W Colburn, Intellectual Arithmetic [1840]

W Scott, Elements of Arithmetic and Algebra: For the Use of the Royal Military College [1844]

J Day, An Introduction to Algebra, [1845]

B Greenleaf, Introduction to the national arithmetic [1845]

I Clark, The Prussian Calculator: By which All Business Calculations are Performed by One Rule [1846]

C Davies, Arithmetic: Designed for Academies and Schools [1847]*

J Ray, Ray's Algebra [1848] (+ Part 2)

C Hackley, A Treatise on Algebra [1850]

G Perkins, Higher Arithmetic … [1851]

R Stewart, First lessons in Arithmetic for Junior Classes [1852]

D Adams, Adam's New Arithmetic [1848]

N Heath, Treatise on Arithmetic [1856]

E Loomis, A Treatise on Arithmetic, theoretical and practical [1856]

W Smyth, A Treatise on Algebra: For the Use of Schools and Colleges [1858]

S Titlow, Vulgar and Decimal Fractions, with their application to several rules in arithmetic [1858]

C Venable (translator), Bourdon's Arithmetic [1858]

I Todhunter, Algebra [1858]

J Stoddard & W Henkle, The University Algebra [1861]

J Wood & T Lund, The Elements of Algebra [1861]

I Todhunter, Algebra for Beginners [1863]

J Fitch, Methods of Teaching Arithmetic [1869]*

E Brooks, The Normal Elementary Arithmetic … [1869]

J Stoddard & W Henkle, The University Algebra [1861]

J Wood & T Lund, The Elements of Algebra [1861]

I Todhunter, Algebra for Beginners [1863]

J Fitch, Methods of Teaching Arithmetic [1869]*

E Brooks, The Normal Elementary Arithmetic … [1869]

J French, Mental Arithmetic [1871]

D Hagar, A Common School Arithmetic [1872]

J Cornwell & J Fitch, Arithmetic for Beginners [1872]

J Thomson, New Rudiments of Arithmetic [1873]

P Dean, The High School Arithmetic [1874]

E Atkins, Pure mathematics including arithmetic, algebra, geometry, and plane trigonometry [1874]

J Ficklin, The Complete Algebra: Designed for Use in Schools, Academies, and Colleges [1874]

J Cornwell & J Fitch, Arithmetic for Beginners [1872]

P Dean, The High School Arithmetic [1874]

E Atkins, Pure mathematics including arithmetic, algebra, geometry, and plane trigonometry [1874]

J Ficklin, The Complete Algebra: Designed for Use in Schools, Academies, and Colleges [1874]

J Eaton, Common School Arithmetic [1876]

J Thomson, New Practical Algebra [1878]

American Metric Bureau, Metric Primer [1878]

H Hall & S Knight, Elementary Algebra for Schools [1885]*

J Hamblin Smith, Elementary Algebra [1885]

G Hines, Mathematical Roots Uprooted [1886]

AIGT (now the MA), The Elements of Plane Geometry: Part II [1888]

H Hall & S Knight, Higher Algebra [1891]

G Wentworth & G Hill, Arithmetic Exercise Manuals [1892]

J MacDonald, Primary Algebra: The Teacher's Guide [1894]

C Smith, Elementary Algebra [1894]

W Boyden, A First Book in Algebra [1895]

K Basu, Algebra Made Easy [1895]

W Ball, Elementary Algebra [1897]

**Early 20th Century**

D Smith, Advanced Arithmetic [1905]

O Lodge, Easy Mathematics or Arithmetic and Algebra for General Readers Being an Elementary Treatise Addressed to Teachers, Parents, Self-Taught Students, and Adults [1910]

C Morey, Elementary Arithmetic [1911]

C Morey, Advanced Arithmetic [1911]

C Morey, Elementary Arithmetic [1911]

C Morey, Advanced Arithmetic [1911]

G Hobbs, E Waite, E Wallace, T Dial, Practical Mathematics (Part 1) [1912]

Ontario Dept of Ed, Arithmetic [1912]

Ontario Dept of Ed, Arithmetic [1912]

J Perry, Elementary Practical Mathematics [1913] (limited access)

E Thurston, Business Arithmetic for Secondary Schools [1917]

C Chadsey, J Hamblin Smith, Efficiency Arithmetic [1917]

G Wentworth & D Smith, Higher Arithmetic [1919]*

T Sloane, Rapid Arithmetic: Quick and Special Methods in Arithmetical Calculation, Together With a Collections of Puzzles and Curiosities of Numbers [1922] (limited access)

J Thompson, Arithmetic and the Practical Man [1931]

J Thompson, Arithmetic and the Practical Man [1931]

Due to copyright restrictions there are relatively few books available online from the 20th Century. I recommend ordering from abebooks.co.uk (or looking in maths department offices!) if you're interested in maths textbooks from this period.

* I have marked a few of my favourite books with a star.

Some of these books have multiple editions available online, but to keep this page manageable I have only listed one edition in each case.

Click here for links to historical maths textbooks in French, German, Spanish and Italian.

Also see the MAA's page of Mathematical Treasures, and this page of old maths books from forgottenbooks.com.

The purpose of this page is simply to save people time when looking for old maths textbooks online. Please contact me to add links or correct links on this page. Huge thanks to @literallyjustq for providing a large number of the links listed above.

With all this historic cleverness, plus all the new tech, plus Jo's extraordinary dedication to collecting up mathematics for us all - how come we are still struggling to motivate and teach secondary maths??!

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