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Elements of Algebra
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DOI: 10.1007/978-1-4613-8511-0
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Book Chapters
The following chapters of this book are listed in IDEAS- Leonard Euler, 1972. "Of Mathematics in general," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 1-2, Springer.
- Leonard Euler, 1972. "Explanation of the Signs + Plus and — Minus," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 3-6, Springer.
- Leonard Euler, 1972. "Of the Multiplication of Simple Quantities," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 6-10, Springer.
- Leonard Euler, 1972. "Of the Nature of whole Numbers, or Integers, with respect to their Factors," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 10-12, Springer.
- Leonard Euler, 1972. "Of the Division of Simple Quantities," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 13-15, Springer.
- Leonard Euler, 1972. "Of the Properties of Integers, with respect to their Divisors," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 16-19, Springer.
- Leonard Euler, 1972. "Of Fractions in general," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 20-23, Springer.
- Leonard Euler, 1972. "Of the Properties of Fractions," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 24-27, Springer.
- Leonard Euler, 1972. "Of the Addition and Subtraction of Fractions," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 27-30, Springer.
- Leonard Euler, 1972. "Of the Multiplication and Division of Fractions," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 30-35, Springer.
- Leonard Euler, 1972. "Of Square Numbers," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 36-38, Springer.
- Leonard Euler, 1972. "Of Square roots, and of Irrational Numbers resulting from them," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 38-42, Springer.
- Leonard Euler, 1972. "Of Impossible, or Imaginary Quantities, which arise from the same source," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 42-44, Springer.
- Leonard Euler, 1972. "Of Cubic Numbers," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 45-46, Springer.
- Leonard Euler, 1972. "Of Cube Roots, and of Irrational Numbers resulting from them," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 46-48, Springer.
- Leonard Euler, 1972. "Of Powers in general," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 48-52, Springer.
- Leonard Euler, 1972. "Of the Calculation of Powers," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 52-54, Springer.
- Leonard Euler, 1972. "Of Roots, with relation to Powers in general," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 54-55, Springer.
- Leonard Euler, 1972. "Of the Method of representing Irrational Numbers by Fractional Exponents," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 56-60, Springer.
- Leonard Euler, 1972. "Of the different Methods of Calculation, and of their mutual Connexion," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 60-63, Springer.
- Leonard Euler, 1972. "Of Logarithms in general," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 63-66, Springer.
- Leonard Euler, 1972. "Of the Logarithmic Tables now in use," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 66-69, Springer.
- Leonard Euler, 1972. "Of the Method of expressing Logarithms," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 69-75, Springer.
- Leonard Euler, 1972. "Of the Addition of Compound Quantities," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 76-78, Springer.
- Leonard Euler, 1972. "Of the Subtraction of Compound Quantities," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 78-79, Springer.
- Leonard Euler, 1972. "Of the Multiplication of Compound Quantities," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 79-84, Springer.
- Leonard Euler, 1972. "Of the Division of Compound Quantities," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 84-88, Springer.
- Leonard Euler, 1972. "Of the Resolution of Fractions into Infinite Series," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 89-97, Springer.
- Leonard Euler, 1972. "Of the Squares of Compound Quantities," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 97-100, Springer.
- Leonard Euler, 1972. "Of the Extraction of Roots applied to Compound Quantities," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 100-104, Springer.
- Leonard Euler, 1972. "Of the Calculation of Irrational Quantities," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 104-107, Springer.
- Leonard Euler, 1972. "Of Cubes, and of the Extraction of Cube Roots," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 107-109, Springer.
- Leonard Euler, 1972. "Of the higher Powers of Compound Quantities," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 110-115, Springer.
- Leonard Euler, 1972. "Of the Transposition of the Letters, on which the demonstration of the preceding Rule is founded," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 115-120, Springer.
- Leonard Euler, 1972. "Of the Expression of Irrational Powers by Infinite Series," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 120-122, Springer.
- Leonard Euler, 1972. "Of the Resolution of Negative Powers," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 123-126, Springer.
- Leonard Euler, 1972. "Of Arithmetical Ratio, or of the Difference between two Numbers," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 126-128, Springer.
- Leonard Euler, 1972. "Of Arithmetical Proportion," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 129-131, Springer.
- Leonard Euler, 1972. "Of Arithmetical Progressions," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 131-134, Springer.
- Leonard Euler, 1972. "Of the Summation of Arithmetical Progressions," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 135-139, Springer.
- Leonard Euler, 1972. "Of Figurate, or Polygonal Numbers," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 139-145, Springer.
- Leonard Euler, 1972. "Of Geometrical Ratio," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 146-148, Springer.
- Leonard Euler, 1972. "Of the Greatest Common Divisor of two given Numbers," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 148-151, Springer.
- Leonard Euler, 1972. "Of Geometrical Proportions," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 152-155, Springer.
- Leonard Euler, 1972. "Observations on the Rules of Proportion and their Utility," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 155-159, Springer.
- Leonard Euler, 1972. "Of Compound Relations," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 159-164, Springer.
- Leonard Euler, 1972. "Of Geometrical Progressions," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 164-170, Springer.
- Leonard Euler, 1972. "Of Infinite Decimal Fractions," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 171-176, Springer.
- Leonard Euler, 1972. "Of the Calculation of Interest," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 177-185, Springer.
- Leonard Euler, 1972. "Of the Solution of Problems in general," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 186-189, Springer.
- Leonard Euler, 1972. "Of the Resolution of Simple Equations, or Equations of the First Degree," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 189-194, Springer.
- Leonard Euler, 1972. "Of the Solution of Questions relating to the preceding Chapter," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 194-206, Springer.
- Leonard Euler, 1972. "Of the Resolution of two or more Equations of the First Degree," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 206-216, Springer.
- Leonard Euler, 1972. "Of the Resolution of Pure Quadratic Equations," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 216-222, Springer.
- Leonard Euler, 1972. "Of the Resolution of Mixed Equations of the Second Degree," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 222-229, Springer.
- Leonard Euler, 1972. "Of the Extraction of the Roots of Polygonal Numbers," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 230-234, Springer.
- Leonard Euler, 1972. "Of the Extraction of the Square Roots of Binomials," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 234-243, Springer.
- Leonard Euler, 1972. "Of the Nature of Equations of the Second Degree," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 244-248, Springer.
- Leonard Euler, 1972. "Of Pure Equations of the Third Degree," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 248-252, Springer.
- Leonard Euler, 1972. "Of the Resolution of Complete Equations of the Third Degree," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 253-262, Springer.
- Leonard Euler, 1972. "Of the Rule of Cardan, or of Scipio Ferreo," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 262-271, Springer.
- Leonard Euler, 1972. "Of the Resolution of Equations of the Fourth Degree," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 272-278, Springer.
- Leonard Euler, 1972. "Of the Rule of Bombelli for reducing the Resolution of Equations of the Fourth Degree to that of Equations of the Third Degree," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 278-282, Springer.
- Leonard Euler, 1972. "Of a new Method of resolving Equations of the Fourth Degree," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 282-288, Springer.
- Leonard Euler, 1972. "Of the Resolution of Equations by Approximation," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 289-298, Springer.
- Leonard Euler, 1972. "Of the Resolution of Equations of the First Degree which contain more than one unknown Quantity," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 299-312, Springer.
- Leonard Euler, 1972. "Of the Rule which is called Regula Cæci, for determining by means of two Equations, three or more Unknown Quantities," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 312-317, Springer.
- Leonard Euler, 1972. "Of Compound Indeterminate Equations, in which one of the Unknown Quantities does not exceed the First Degree," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 317-321, Springer.
- Leonard Euler, 1972. "On the Method of rendering Surd Quantities of the form √ (a+bx+cx2) Rational," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 322-335, Springer.
- Leonard Euler, 1972. "Of the Cases in which the Formula a+bx+cx2can never become a Square," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 335-342, Springer.
- Leonard Euler, 1972. "Of the Cases in Integer Numbers, in which the Formula ax2 + b becomes a Square," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 342-350, Springer.
- Leonard Euler, 1972. "Of a particular Method, by which the Formula, an2 + 1, becomes a Square in Integers," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 351-360, Springer.
- Leonard Euler, 1972. "Of the Method of rendering the Irrational Formula, √(a + bx + cx2 + dx3), Rational," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 361-368, Springer.
- Leonard Euler, 1972. "Of the Method of rendering Rational the incommensurable Formula, √ (a + bx + cx2 + dx3 + ex4)," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 368-379, Springer.
- Leonard Euler, 1972. "Of the Method of rendering rational the irrational Formula, $$ \mathop{\surd }\limits^{3} \left( {a + bx + c{x^{2}} + d{x^{3}}} \right) $$," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 379-386, Springer.
- Leonard Euler, 1972. "Of the Resolution of the Formula, ax2+bxy+cy2into its Factors," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 387-396, Springer.
- Leonard Euler, 1972. "Of the Transformation of the Formula ax2+cy2into Squares, and higher Powers," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 396-405, Springer.
- Leonard Euler, 1972. "Of some Expressions of the Form ax4+by4, which are not reducible to Squares," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 405-413, Springer.
- Leonard Euler, 1972. "Solution of some Questions that belong to this part of Algebra," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 413-449, Springer.
- Leonard Euler, 1972. "Solutions of some Questions in which Cubes are required," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 449-462, Springer.
- Leonard Euler, 1972. "On Continued Fractions," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 465-495, Springer.
- Leonard Euler, 1972. "Solution of some curious and new Arithmetical Problems," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 495-529, Springer.
- Leonard Euler, 1972. "Of the Resolution, in Integer Numbers, of Equations of the first Degree, containing two unknown Quantities," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 530-534, Springer.
- Leonard Euler, 1972. "General Method for resolving, in Integer Numbers, Equations with two unknown Quantities, of which one does not exceed the first Degree," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 534-537, Springer.
- Leonard Euler, 1972. "A direct and general Method for finding the values of x, that will render Quantities of the form √(a+bx+cx2) Rational, and for resolving, in Rational Numbers, the indeterminate Equations of the second," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 537-547, Springer.
- Leonard Euler, 1972. "Of Double and Triple Equalities," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 547-549, Springer.
- Leonard Euler, 1972. "A direct and general Method for finding all the values of y expressed in Integer Numbers, by which we may render Quantities of the form √ (ay2+b), rational;aandbbeing given Integer Numbers; and also f," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 550-577, Springer.
- Leonard Euler, 1972. "Remarks on Equations of the form p2=aq2+1, and on the common method of resolving them in Whole Numbers," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 578-583, Springer.
- Leonard Euler, 1972. "Of the Manner of finding Algebraic Functions of all Degrees, which, when multiplied together, may always produce Similar Functions," Springer Books, in: Elements of Algebra, edition 0, chapter 0, pages 583-593, Springer.
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