MATHEMATICAL SERIES. For District Schools. 1. GREENLEAF'S NEW PRIMARY ARITHMETIC. 2. GREENLEAF'S INTELLECTUAL ARITHMETIC. 3. GREENLEAF'S COMMON SCHOOL ARITHMETIC. For High Schools and Academies. 4. GREENLEAF'S NATIONAL ARITHMETIC. 5. GREENLEAF'S NEW ELEMENTARY ALGEBRA. 6. GREENLEAF'S TREATISE ON ALGEBRA. 7. GREENLEAF'S GEOMETRY AND TRIGONOMETRY. This series, in its revised and improved form, surpasses all others, 1. In the lucid, progressive, and strictly philosophical ARRANGEMENT of the several parts and subjects. 2. In the clearness and conciseness of the DEFINITIONS and RULES, and in the completeness of the ILLUSTRATIONS. 3. In the logical strictness and simple elegance of its ANALYSIS. 4. In the variety and practical character of the PROBLEMS; which, from their nature, tend to interest the pupil, exercise his ingenuity, and secure useful mental discipline. 5. In the scientific accuracy of all its statements of facts. 6. In being a CONSECUTIVE SERIES, graded to the wants of PRIMARY, INTERMEDIATE, GRAMMAR, and HIGH SCHOOLS, ACADEMIES, NORMAL SCHOOLS, and COMMERCIAL COLLEGES; it having been found that less than FOUR BOOKS on Arithmetic cannot be successfully used for FOUR GRADES of schools; and that the Algebra, Geometry and Trigonometry in a mathematical course should be by the author of the Arithmetics, in order to follow most advantageously as a part of the same system. 7. In having been so extensively introduced into the best schools, and approved by the best teachers, of every State in the Union, as to have become A NATIONAL STANDARD. 8. In the neat and durable MECHANICAL EXECUTION of the several books, - an important consideration, too often disregarded,—and in the CHEAP prices at which they are sold. NEW PRIMARY ARITHMETIC, DESIGNED FOR PRIMARY CLASSES. Copiously Illustrated. 84 pp. Price, 12 cts. This work in its present improved form surpasses all other FIRST LESSONS in numbers:— 1. In the attractive nature of the EXERCISES. 2. In the judicious use of COUNTERS and PICTURES. 3. In the practical methods of teaching the TABLES of addition, subtraction, &c. 4. In the simplicity of the INDUCTIVE PROCESSES, advancing the learner by easy gradations, and leading him to depend early upon mental resources alone in the solution of problems. 5. In being ADAPTED TO PRECEDE ANY GOOD INTELLECTUAL ARITHMETIC, but especially the next book in Greenleaf's Series. 6. In the number and beauty of its PICTORIAL ILLUSTRATIONS, which have been designed and engraved by skilful artists, especially for this book. Teachers and others should be careful in making up orders to call for the edition of GREENLEAF'S NEW PRIMARY ARITHMETIC, CONTAINING 84 PAGES, so as to be sure of obtaining the improved edition. GREENLEAF'S INTELLECTUAL ARITHMETIC, DESIGNED FOR ADVANCED CLASSES. 156 pp. Price, 20 cts. THIS Intellectual Arithmetic has been expressly prepared to meet the highest requirements of the present improved standard of mental culture, and is regarded, by eminent Teachers who have used the work, as far superior to any other book of the kind:-- 1. In being entirely progressive in its arrangement, thus avoiding “the troublesome abrupt transitions" complained of in Colburn's First Lessons. 2. In the RICHNESS, VARIETY, and PRACTICAL CHARACTER of the exercises, so as not to weary the learner, as do some other books, with “a multitude of merely mechanical operations upon abstract numbers." 3. It introduces ALL the usual TABLES OF MONEY, WEIGHTS, and MEASURES, in their proper place, with suitable examples relating to them; while, in Colburn's First Lessons, the tables of Long Measure, Square Measure, Cubic Measure, &c. are omitted altogether, and the other tables not introduced till toward the end of the book. 4. In giving prominence to UNITED STATES MONEY, while in Colburn's First Lessons there are numerous exercises in "pounds, shillings, and pence.” 5. It gives a full course of exercises in PERCENTAGE, including its various useful applications, such as INTEREST, DISCOUNT, PRESENT WORTH, &c.; while in Colburn's First Lessons only about a single page is devoted to the subject, and that exclusively to Interest at six per cent. 6. It contains exercises for drilling the learner in performing mental operations on LARGE NUMBERS and DECIMAL FRACTIONS; an important feature peculiar to this work. 7. It includes ALL the PRINCIPLES and COMBINATIONS common to books of the kind, and OTHERS, CARRYING ANALYSIS FURTHER, so that a pupil who may have thoroughly mastered Colburn's First Lessons might fail to perform all the exercises, even in Common Fractions in Greenleaf's Intellectual Arithmetic. 8. It also has the advantage over Colburn's First Less ns, and other isolated books, by being a part of a CONSECUTIVE SERIES of Arithmetics by one author, graded to the wants of all classes of learners, and adapted to the modern system of schools, being preceded by GREENLEAF'S NEW PRIMARY ARITHMETIC, an easy preparatory work on the same plan, and followed by GREENLEAF'S COMMON SCHOOL ARITHMETIC and NATIONAL ARITHMETIC, using the same form of analysis. * GREENLEAF'S INTELLECTUAL ARITHMETIC is a NEW work, and not GREENLEAF'S [OLD] PRIMARY ARITHMETIC with only the title changed, as has been represented by parties interested in the circulation of competing works. The [old] Primary Arithmetic continues to be printed for schools requiring such a book. The two Arithmetics should not be confounded, as the design of each is quite different. Both are well adapted to the class of pupils for which they are designed. GREENLEAF'S INTELLECTUAL ARITHMETIC should be used after the NEW PRIMARY ARITHMETIC, in cities and towns where the schools are properly graded. GREENLEAF'S COMMON SCHOOL ARITHMETIC, DESIGNED FOR COMMON SCHOOLS AND ACADEMIES. 324 pp. Price, 50 cts. This work is on the inductive plan, and combines all the excellences of both the analytic and synthetic methods of instruction. It has been expressly prepared as "the book for the million," and, from the admirable results produced by its use, has been pronounced, by prominent educators in all parts of the country, to be superior to all other works of the kind: 1. In its ARRANGEMENT, being strictly inductive and logical. 2. In its DEFINITIONS, RULES, EXPLANATIONS, and DEMONSTRATIONS, being clear, accurate, and concise. 3. In the NUMBER, VARIETY, and PRACTICAL CHARACTER of the EXAMPLES, calculated to discipline the mind of the learner, and at the same time prepare for the business operations of life. 4. In the ARTICLES on MONEY, WEIGHTS, MEASURES, INTEREST, CUSTOMHOUSE BUSINESS, &c., being strictly comformable to present usage, and accompanied by suitable notes and explanations. 5. In the prominence given to ANALYSIS, or "the common-sense rule,” in all parts of the work, — the rules for the most part being deduced from the analytic solution of one or more problems. 6. In the introduction of IMPORTANT METHODS OF ABRIDGING OPERATIONS, applicable to business transactions. 7. In AVOIDING OLD RULES AND DISTINCTIONS which modern improvements have rendered unnecessary. 8. In being a COMPLETE SYSTEM OF WRITTEN ARITHMETIC, for Common Schools, containing sufficient, in itself, to prepare the learner for all ordinary business. 9. In the beauty of the TYPOGRAPHY of the late (1861) ELECTROTYPE edition, and the extraordinary ACCURACY of its text. ***GREENLEAF'S COMMON SCHOOL ARITHMETIC may be safely said to be the most successful work of the kind ever published in any country. NATIONAL ARITHMETIC; A COMPLETE COURSE FOR HIGH SCHOOLS AND ACADEMIES. 444 pp. Price, 80 cts. This work, of an established reputation, is admitted to excel: 1. In the elegance of its DEFINITIONS and ILLUSTRATIONS, in the logical strictness of its ANALYSIS, and in the superior character of its numerous PROBLEMS. 2. In the NEW and ORIGINAL METHODS, especially, in the VALUABLE IMPROVEMENTS in the treatment of DIVISORS, MULTIPLES, FRACTIONS, PERCENTAGE, ROOTS, and ALLIGATION. 3. In the amount of mercantile and other useful information embraced in the TABLES and NOTES. 4. In the completeness of the work as a TEXT-BOOK for HIGH SCHOOLS, ACADEMIES, NORMAL SCHOOLS, and COMMERCIAL COLLEGES. The NATIONAL ARITHMETIC is so admirably constructed, by each topic being made comparatively complete by itself, that, to accommodate those who may desire a less full course than the whole book, certain articles and topics can be passed over without marring the unity of the other portions. GREENLEAF'S TREATISE ON ALGEBRA, FOR HIGH SCHOOLS AND ACADEMIES. 360 pp Price, 80 cts. This TREATISE furnishes what has been hitherto much desired, a thorough practical and theoretical text-book, suited to the wants of elementary schools, as well as academies, in a single volume of a portable form. Being very comprehensive in its PLAN, and progressive in its gradation of PROBLEMS, it occupies the ground commonly given very inconveniently to TWO BOOKS. |
