MATHEMATICAL SCIENCE.

(Classes VI. — IX.)

CLASS VI. GENERAL WORKS ON MATHEMATICS.

Note. For the History of Mathematics, see Class XXVIII.

COMTE (Auguste). The Philosophy of Mathematics; translated from the Cours de Philosophie Positive of A. C., by W. M. Gillespie ... New York. 1851. 8°

New

DAVIES (Prof. Charles), LL.D. The Logic and Utility of Mathematics, with the best Methods of Instruction explained and illustrated. York. 1850. 8°

DAVIES (Prof. Thomas Stephens). Solutions of the principal Questions of Dr. Hutton's Course of Mathematics: forming a general Key to that Work . . London. 1840. 8o

FRANCŒUR (Prof. Louis Benjamin). A complete Course of Pure Mathematics. Translated from the French by R. Blakelock ... . 2 vols. Cambridge [Eng.]. 1830. 8°

HICKIE (James). A Key to Rutherford's Edition of Hutton's Course of Mathematics, as adapted to the Course of Instruction now pursued in the Royal Military Academy, Woolwich London. 1849. 8° HUTTON (Prof. Charles), LL.D. A Course of Mathematics. ... Composed for the Use of the Royal Military Academy. Continued and amended by Olinthus Gregory, LL.D. ... 12th Ed., with considerable Alterations and Additions, by Thomas Stephens Davies 2 vols. London. 1841-43. 8°

See DAVIES (T. S.). Solutions, etc.

A Course of Mathematics, composed for the Use of the Royal Military Academy. ... A new and carefully corrected Ed., entirely re-modelled By William Rutherford London. 1846.

8°

pp. vii., 895.

See HICKIE (J.) A Key, etc.

RUTHERFORD (William). See HUTTON (C.). A Course, etc. 1846. 8°

CLASS VII. ARITHMETIC.

revised Ed.

ADAMS (Daniel), M.D. Adams's New Arithmetic Arithmetic, in which the Principles of operating by Numbers are analytically explained and synthetically applied. Keene, N. H. [1848?] 12°

ADAMS (Frederic Augustus). Arithmetic, in Two Parts. Part First, Advanced Lessons in Mental Arithmetic. Part Second, Rules and

Examples for Practice in Written Arithmetic. ... 3d Ed., corrected and enlarged. Lowell. 1847. 12o

The same.

11th Thousand. Lowell. 1848. 12°

BARTRUM (Joseph Plura). Arithmetic in the Ancient Order, fully, yet familiarly, demonstrated ... . Prepared for Superior Schools

Boston. 1837. 12°

CHASE (Pliny Earle). The Common-School Arithmetic, designed particularly for those who are desirous of acquiring a thorough Knowledge of Practical Mathematics. ... Worcester, Mass. 1848. 1848. 12° (3 copies, one dated 1850.)

Key to the Common-School Arithmetic. ... Worcester, Mass. [1848?] 12° pp. 31.

See STONE (A. P.). A Key, etc.

The Elements of Arithmetic

In which Decimal and

Integral Arithmetic are combined, and taught inductively, on the System of Pestalozzi. Part Second.

(2 copies, one dated 1848.)

Philadelphia. 1847. 12°

See MANN (H.) and CHASE (P. E.). Arithmetic, etc.

COLBURN (Dana P.). The Decimal System of Numbers; illustrated and practically applied, by a Series of Systematic and Progressive Exercises. Boston. 1852. 12°

COLBURN (Warren). Colburn's First Lessons.

Intellectual Arithmetic,

upon the Inductive Method of Instruction. [With Part II., the Key.] New Ed., revised and improved. Boston.

N. D. 18°

Arithmetic upon the Inductive Method of Instruction: being a Sequel to Intellectual Arithmetic. ... Stereotyped at ... Boston Philadelphia. 1830. 12o

DAVIES (Prof. Charles), LL.D. Grammar of Arithmetic; or, An Analysis of the Language of Figures and Science of Numbers. ... New York. 1850. 189

The University Arithmetic

..

New York. 1847. 12°

DE MORGAN (Prof. Augustus). An Essay on Probabilities, and on their Application to Life Contingencies and Insurance Offices. Lon8° (LARDNER'S Cab. Cycl., 110.)

don.

DODD (Prof. James B.). High School Arithmetic; containing the Elementary and the Higher Principles and Applications of the Science, with the most useful Abbreviated Methods of Calculation; Practical Mensuration; and Appendices on Exchange, and Mathematical Probabilities; with Applications of the latter to Life Annuities and Life Insurance. New-York. 1852. 16°

EMERSON (Frederick). Emerson's Third Part. The North American Arithmetic. Part Third, for Advanced Scholars. .. Boston. 1845.

12°

The same.

New Ed. enlarged. Boston. 1853. 12°

Key to the North American Arithmetic, Part Second and Part Third. ... Boston.

1845. 12°
pp. 72.

GREENLEAF (Benjamin). A Key to the Introduction to the National
Arithmetic
Boston. 1845. 12o

The National Arithmetic, on the Inductive System; combining the Analytic and Synthetic Methods, together with the Cancelling System; forming a complete Mercantile Arithmetic. ... New stereotype Ed., revised, enlarged, and much improved. Boston. 1847. 12° The same. [With an Appendix on Weights and Measures.] Boston. 1853. 12o

A Key to the National Arithmetic Boston. 1853. 12° HADDON (James). Rudimentary Arithmetic. ... London: John Weale. 1849. 12o

HILL (Rev. Thomas). An Elementary Treatise on Arithmetic, designed as an Introduction to Peirce's Course of Pure Mathematics, and as a Sequel to the Arithmetics used in the High Schools of New England. Boston. 1845. 12o pp. vi., 85. +

LACROIX (Prof. Silvestre François). An Elementary Treatise on Arithmetic, taken principally from the Arithmetic of S. F. Lacroix, and translated into English with ... Alterations and Additions [by Prof. John Farrar] ... Cambridge, N. E. 1818. 8°

LARDNER (Dionysius), LL.D. A Treatise on Arithmetic, Theoretical and Practical. London. 8° (LARDNER'S Cab. Cycl., 100.)

LEACH (Daniel) and SWAN (Robert). An Elementary Intellectual Arithmetic, containing numerous original Contractions in Multiplication. Boston. 1853. 16°

LEACH (Daniel) and SWAN (William D.). A Theoretical and Practical Arithmetic; designed for Common Schools and Academies. Philadelphia. 1851. 12° or 8° (6. and 8.)

Mann (Horace), LL.D. and CHASE (Pliny Earle). Arithmetic, practically applied, for Advanced Pupils, and for Private Reference, designed as a Sequel to any of the ordinary Text-Books on the Subject. Philadelphia. 1850. 16° (8.)

MORGAN (Prof. Augustus DE). See DE MORGAN.

PEACOCK (George), D.D. Arithmetic.

524.)

(ENCYCL. Metrop., I. 369

PERKINS (George R.). Higher Arithmetic ...; in which some entirely New Principles are developed, and many Concise and Easy Rules given, which have never before appeared in any Arithmetic: with an Appendix. Stereotyped Ed., revised and improved. Hartford. 1849. 12o

ROBINSON (James). The American Arithmetic ... Boston.

1847. 12°

RUSSELL (James S.). The Rational Arithmetic

pended, A Key

To which is ap

Lowell. 1846. 12°

Explanations and Remarks ....

Worcester. 1853. 12° pp. 96.

STONE (A. P.). A Key to Chase's Common School Arithmetic, with

THOMSON (James Bates). Day and Thomson's Series. Higher Arithmetic; or the Science and Application of Numbers; combining the Analytic and Synthetic Modes of Instruction. ... New York. 1848. 12°

Vogdes (William). The First Part of the United States Arithmetic. Philadelphia. 1847. 12°

The United States Arithmetic. ... Philadelphia. 1847. 12° Key to the United States Arithmetic. ... Philadelphia. 1847. 12° pp. 48. WALSH (Michael). The Mercantile Arithmetic, adapted to the Commerce of the United States ... with an Appendix, containing Practical Systems of Mensuration, Gauging, and Book-Keeping. A new Ed., stereotyped, revised, and enlarged. Boston. 1831. 12°

Note. The Parts relating to Mensuration, etc., and to Book-Keeping, have each a distinct title-page.

CLASS VIII. ALGEBRA; THE HIGHER CALCULUS. ALSOP (Samuel). An Elementary Treatise on Algebra ... Philadelphia. 1847. 12o (2 copies.)

Key to an Elementary Treatise on Algebra. Philadelphia. 1847. 12°

BAILEY (Ebenezer). First Lessons in Algebra .... 18th improved stereotype Ed. Boston. 1843. 12°

A Key to the First Lessons in Algebra

12° pp. 84.

Boston. 1844.

BARLOW (Prof. Peter). Theory of Numbers. (ENCYCL. Metrop., I. 641-671.)

BÉZOUT (Etienne). First Principles of the Differential and Integral Calculus ... taken chiefly from the Mathematics of B., and translated from the French for the Use of the Students of the University at Cambridge, New England. 2d Ed. Boston. 1836. 8° BOURDON (Prof. Louis Pierre Marie). Elements of Algebra: translated from the French of M. Bourdon [by Lieut. Edward C. Ross]. Revised and ... [abridged] by Charles Davies, LL.D. ... Revised Ed. Philadelphia. 1843. 8°

CLARK (Rev. Davis W.). Elements of Algebra: embracing also the Theory and Application of Logarithms; together with an Appendix, containing Infinite Series, the general Theory of Equations, and the most approved Methods of resolving the Higher Equations. York. 1843. 8°

New

COLBURN (Warren). An Introduction to Algebra, upon the Inductive Method of Instruction. ... Boston. 1844. 12o

DAVIES (Prof. Charles), LL.D. A Key, containing the Statements and Solutions of Questions in Davies' Elementary Algebra .... New York. 1846. 12° pp. 99.

DAVIES (Prof. Charles), LL.D. See BOURDON (L. P. M.). Elements, etc. DAY (Jeremiah), LL.D. An Introduction to Algebra, being the First Part of a Course of Mathematics, adapted to the Method of Instruction in the American Colleges. 45th Ed. New Haven. 1842. 8°

The same.

The same.

The same.

47th Ed. New Haven.

1843. 1843. 8° 62d Ed. New Haven. 1848. 8°

A new Ed. With Additions and Alterations by the Author, and Professor [Anthony D.] Stanley of Yale College. New Haven. 1852. 12°

A Key to Day's Algebra. New Haven. 1853. 12°

DE MORGAN (Prof. Augustus). Calculus of Functions. (ENCYCL. Metrop., II. 305 - 392.)

An Essay on Probabilities, etc. See Class VII.

Theory of Probabilities. (ENCYCL. Metrop., II. 393 – 490.)

for the

1852. 12°

DOCHARTY (Prof. Gerardus Beekman), LL.D. The Institutes of Algebra. Being the First Part of a Course of Mathematics, Use of Schools ... and Colleges. ... New York. GREENLEAF (Benjamin). A Practical Treatise on Algebra, designed for the Use of Students in High Schools and Academies. Boston. 1852. 12°

The same. Improved stereotype Ed. Boston. 1853. 12° HACKLEY (Prof. Charles W.), D.D. School Algebra; containing the latest Improvements. New York. 1847.

8°

A Treatise on Algebra, containing the latest Improvements. Adapted to the Use of Schools and Colleges. .. New York. 1846. 8°

HADDON (James). Elements of Algebra.

1850. 12°

London: John Weale.

HALL (Prof. Thomas Grainger). Calculus of Variations (ENCYCL. Metrop., II. 209–226), and of Finite Differences (Ibid. pp. 227 – 304).

LARDNER (Dionysius), LL.D. Algebra. (ENCYCL. Metrop., I. 524–631.) LEVY (Prof. Arnaud). Differential and Integral Calculus. (ENCYCL. Metrop., I. 771 – 843, and II. 1 – 208.)

LOOMIS (Prof. Elias). A Treatise on Algebra.... New York. 1846. 8° MORGAN (Prof. Augustus DE). See DE MORGAN.

MOSELEY (Prof. Henry). Definite Integrals. (ENCYCL. Metrop., II. 491–544.)

PEIRCE (Prof. Benjamin), LL.D. An Elementary Treatise on Algebra : to which are added Exponential Equations and Logarithms. ... 6th Ed. Boston. 1851. 12o

An Elementary Treatise on Curves, Functions, and Forces. Volume First; containing Analytic Geometry and the Differential Calculus. ... New Ed. | Volume Second; containing Calculus of Imaginary Quantities, Residual Calculus, and Integral Calculus. ...