最 低 价：￥549.20
定 价：￥610.20
作 者：HarrisHancock 著 著
出 版 社：Oversea Publishing House
出版时间：2005-6-1
I S B N：9780486446400
| CHAPTER 11 PERIODIC APPROXIMATION OF ALGEBRAIC NUMBERS ARTICLE 115. Statement of Abel 116. Periodic Chains of Substitutions 117. Algebraic Number of the nth Degree 118. Character of Those Algebraic Numbers for which Peri-odic Substitutions Exist 119. The Appearance of a Unit in the Realms 120. Necessary Condition for a Periodic Chain 121. This Condition is Sufficient 122. Units of a Special Character 123. A Theorem of Dirichlet Regarding Units 124-125. Discussion of the Real and Complex Roots that May Occur 126. The Complex Cubic Irrational Numbers 127. Limits for Certain Ratios 128. The Reciprocal Problem 129. A Substitution in the Chain and the Lowest Integer to which It Belongs 130. Proof that the Chain is Periodic CHAPTER 12 ON THE APPROXIMATION OF A REAL QUANTITY，THROUGH RATIONAL NUMBERS 131-132. A Pair of Integers May be Taken which Make the Product of Two Linear Forms Less than 1/2 133-134. Results Visualized on Parallelograms 135. When a Lattice Point is at a Vertex of a Parallelogram 136. A Process of Making One of the Linear Forms Smaller. 137-138. Construction of Parallelograms with Lattice Points on Their Sides 139. Systems of Integers and Chains of Parallelograms.Definite Substitutions 140. Additional Theorems in Linear Forms which by the.Employ of Quadrilaterals Lead to Continued Frac-tions 141. Extension of the Tschebyscheff Theorem. Diagonal and Parallel (Normal) Continued Fractions. Num-erous Examples 142. An Infinite Diagonal Continued Fraction Satisfies a Quadratic Equation 143. The Inverse Theorem Proved. Completely Periodic Chains 144. Three Consecutive Terms Determine a Chain. Notes (Continued) CHAPTER 13 A FURTHER ANALYTIC-ARITHMETIC INEQUALITY 145. Reduction of a Lattice with Respect to Given Directions 146. The System of Least Radial Distances in the Lattice 147. An Application to the Integral Groups of Integral. Linear Substitutions 148. Positive Quadratic Forms and Their Integral Trans-formations into Themselves 149. Economy of Least Radial Distances CHAPTER 14 THE ARITHMETIC OF THE ELLIPSOID 150. Finiteness of the Number of Classes of Positive Quad-ratic Forms. An Ellipsoid with No Interior Lattice .Points save the Origin CHAPTER 15 COMPUTATION OF A VOLUME THROUGH.SUCCESSIVE INTEGRATIONS 151. Distribution of the Coordinates of a Point into Two Groups. Projections CHAPTER 16 PROOF OF THE NEW ANALYTIC-ARITHMETIC INEQUALITY 152. The Discussion of Art. 149 Considered in Connection with Volumes. Translations |
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