發表於2024-11-26
圖書介紹
店鋪： 互動創新圖書專營店
齣版社： 機械工業齣版社
ISBN：711113785X
商品編碼：27162992373
叢書名： 經典原版書庫
齣版時間：2004-02-01
頁數：509
類似圖書 點擊查看全場最低價
相關圖書
圖書描述
| 書名： | 純數學教程（英文版·第10版）|17149 |
| 圖書定價： | 65元 |
| 圖書作者： | （英）G.H.Hardy |
| 齣版社： | 機械工業齣版社 |
| 齣版日期： | 2004/2/1 0:00:00 |
| ISBN號： | 711113785X |
| 開本： | 16開 |
| 頁數： | 509 |
| 版次： | 10-1 |
| 作者簡介 |
| 6. H．Hardy英國數學傢(1877—1947)。1896年考入劍橋三一學院，並子1900年在劍橋獲得史密斯奬。之後，在英國牛津大學。劍橋大學任教，是20世紀初著名的數學分析傢之一。 他的貢獻包括數論中的丟番圖逼近、堆壘數論、素數分布理論與黎曼函數，調和分析中的三角級數理論。發散級數求和與陶伯定理。不等式、積分變換與積分方程等方麵，對分析學的發展有深刻的影響。以他的名字命名的Hp空間(哈代空間)，至今仍是數學研究中十分活躍的領域。 除本書外，他還著有《不等式》、《發散級數》等10多部書籍與300多篇文章。 |
| 內容簡介 |
| 自從1908年齣版以來，這本書已經成為一部經典之著。一代又一代嶄露頭角的數學傢正是通過這本書的指引，步入瞭數學的殿堂。 在本書中，作者懷著對教育工作的無限熱忱，以一種嚴格的純粹學者的態度，揭示瞭微積分的基本思想、無窮級數的性質以及包括極限概念在內的其他題材。 |
| 目錄 |
CONTENTS (Entries in small print at the end of the contents of each chapter refer to subjects discussed incidentally in the examples) CHAPTER I REAL VARIABLES SECT. 1-2. Rational numbers 3-7. Irrational numbers 8. Real numbers 9. Relations of magnitude between real numbers 10-11. Algebraical operations with real numbers 12. The number 2 13-14. Quadratic surds 15. The continum 16. The continuous real variable 17. Sections of the real numbers. Dedekind's theorem 18. Points of accumulation 19. Weierstrass's theorem . Miscellaneous examples CHAPTER II FUNCTIONS OF REAL VARIABLES 20. The idea of a function 21. The graphical representation of functions. Coordinates 22. Polar coordinates 23. Polynomias 24-25. Rational functions 26-27. Aigebraical functious 28-29. Transcendental functions 30. Graphical solution of equations 31. Functions of two variables and their graphical repre- sentation 32. Curves in a plane 33. Loci in space Miscellaneous examples CHAPTER III COMPLEX NUMBERS SECT. 34-38. Displacements 39-42. Complex numbers 43. The quadratic equation with real coefficients 44. Argand's diagram 45. De Moivre's theorem 46. Rational functions of a complex variable 47-49. Roots of complex numbers Miscellaneous examples CHAPTER IV LIMITS OF FUNCTIONS OF A POSITIVE INTEGRAL VARIABLE 50. Functions of a positive integral variable 51. Interpolation 52. Finite and infinite classes 53-57. Properties possessed by a function of n for large values of n 58-61. Definition of a limit and other definitions 62. Oscillating functions 63-68. General theorems concerning limits 69-70. Steadily increasing or decreasing functions 71. Alternative proof of Weierstrass's theorem 72. The limit of xn 73. The limit of(1+ 74. Some algebraical lemmas 75. The limit of n(nX-1) 76-77. Infinite series 78. The infinite geometrical series 79. The representation of functions of a continuous real variable by means of limits 80. The bounds of a bounded aggregate 81. The bounds of a bounded function 82. The limits of indetermination of a bounded function 83-84. The general principle of convergence 85-86. Limits of complex functions and series of complex terms 87-88. Applications to zn and the geometrical series 89. The symbols O, o, Miscellaneous examples CHAPTER V LIMITS OF FUNCTIONS OF A CONTINUOUS VARIABLE. CONTINUOUS AND DISCONTINUOUS FUNCTIONS 90-92. Limits as x-- or x--- 93-97. Limits as z-, a 98. The symbols O, o,～: orders of smallness and greatness 99-100. Continuous functions of a real variable 101-105. Properties of continuous functions. Bounded functions. The oscillation of a function in an interval 106-107. Sets of intervals on a line. The Heine-Borel theorem 108. Continuous functions of several variables 109-110. Implicit and inverse functions Miscellaneous examples CHAPTER VI DERIVATIVES AND INTEGRALS 111-113. Derivatives 114. General rules for differentiation 115. Derivatives of complex functions 116. The notation of the differential calculus 117. Differentiation of polynomials 118. Differentiation of rational functions 119. Differentiation of algebraical functions 120. Differentiation of transcendental functions 121. Repeated differentiation 122. General theorems concerning derivatives, Rolle's theorem 123-125. Maxima and minima 126-127. The mean value theorem 128. Cauchy's mean value theorem SECT. 129. A theorem of Darboux 130-131. Integration. The logarithmic function 132. Integration of polynomials 133-134. Integration of rational functions 135-142. Integration of algebraical functions. Integration by rationalisation. Integration by parts 143-147. Integration of transcendental functions 148. Areas of plane curves 149. Lengths of plane curves Miscellaneous examples CHAPTER VII ADDITIONAL THEOREMS IN THE DIFFERENTIAL AND INTEGRAL CALCULUS 150-151. Taylor's theorem 152. Taylor's series 153. Applications of Taylor's theorem to maxima and minima 154. The calculation of certain limits 155. The contact of plane curves 156-158. Differentiation of functions of several variables 159. The mean value theorem for functions of two variables 160. Differentials 161-162. Definite integrals 163. The circular functions 164. Calculation of the definite integral as the limit of a sum 165. General properties of the definite integral 166. Integration by parts and by substitution 167. Alternative proof of Taylor's theorem 168. Application to the binomial series 169. Approximate formulae for definite integrals. Simpson's rule 170. Integrals of complex functions Miscellaneous examples CHAPTER VIII THE CONVERGENCE OF INFINITE SERIES AND INFINITE INTEGRALS SECT. PAGE 171-174. Series of positive terms. Cauchy's and d'Alembert's tests of convergence 175. Ratio tests 176. Dirichlet's theorem 177. Multiplication of series of positive terms 178-180. Further tests for convergence. Abel's theorem. Mac- laurin's integral test 181. The series n-s 182. Cauch 包郵 純數學教程（英文版 第10版）|17149 下載 mobi epub pdf txt 電子書 格式 包郵 純數學教程（英文版 第10版）|17149 mobi 下載 pdf 下載 pub 下載 txt 電子書 下載 2024包郵 純數學教程（英文版 第10版）|17149 下載 mobi pdf epub txt 電子書 格式 2024 包郵 純數學教程（英文版 第10版）|17149 下載 mobi epub pdf 電子書用戶評價
評分
評分 評分 評分 評分 評分 評分 評分 評分
類似圖書 點擊查看全場最低價
包郵 純數學教程（英文版 第10版）|17149 mobi epub pdf txt 電子書 格式下載 2024 分享鏈接相關圖書
|
