WELLS' MATHEMATICAL SERIES. Academic Arithmetic. Academic Algebra. Higher Algebra. University Algebra. College Algebra. Plane Geometry. Solid Geometry. Plane and Solid Geometry. Plane and Solid Geometry. Revised. Essentials of Trigonometry. Elementary Treatise on Logarithms. Special Catalogue and Terms on application. A SHORT COURSE IN HIGHER ALGEBRA FOR ACADEMIES, HIGH SCHOOLS, AND COLLEGES. BY WEBSTER WELLS, S.B., PROFESSOR OF MATHEMATICS IN THE MASSACHUSETTS INSTITUTE LEACH, SHEWELL, AND SANBORN. BOSTON. NEW YORK. CHICAGO. THIS PREFACE. HIS volume has been prepared in response to a demand from numerous teachers for a work intermediate in its scope between the author's Academic and University Algebras. The first 248 pages of the Higher Algebra are the same as the corresponding pages of the Academic Algebra. The work on pages 249 to 305 of the latter has been rewritten with reference to the new matter, and 71 pages have been added to the book; and it is now put forth as a complete preparatory text, containing all the topics required for admission to any of the Colleges, Universities, or Scientific Schools of the country. The new matter is contained principally in the following chapters: XXVI. Inequalities. XXVII. The Theory of Limits; Interpretation of the XXIX. Variation. XXXII. Harmonical Progression. XXXIV. The Theorem of Undetermined Coefficients. XXXV. The Binomial Theorem; Fractional and Nega tive Exponents. XXXVII. Compound Interest and Annuities. XXXVIII. Permutations and Combinations. XXXIX. Continued Fractions. There is also given in connection with the chapter on Logarithms, a discussion of Logarithmic and Exponential Series. |