圖書標籤: 數學 多元微積分 UTM 數學分析7 分析 相對論 數學 微積分
发表于2024-12-24
Second Year Calculus pdf epub mobi txt 電子書 下載 2024
"Second Year Calculus: From Celestial Mechanics to Special Relativity" covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus.The book carries us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality. The development of this process is discussed from the modern viewpoint of differential forms. Using this concept, the student learns to compute orbits and rocket trajectories, model flows and force fields, and derive the laws of electricity and magnetism. These exercises and observations of mathematical symmetry enable the student to better understand the interaction of physics and mathematics.
David Marius Bressoud (born March 27, 1950 in Bethlehem, Pennsylvania) is an American mathematician who works in number theory, combinatorics, and special functions. As of 2012 he is DeWitt Wallace Professor of Mathematics at Macalester College and a former President of the Mathematical Association of America.
盜用陳天權教授的評價:“(該書)是作者在Pennsylvania州立大學的講義.作者在Freeman Dyson的鼓勵下寫成瞭這本多元微積分.它的數學內容並不深,但是它與力學,電動力學及狹義相對論結閤在一起講.使得數學與物理的相互影響曆曆在目.” 【此外再次覺得物理纔是數學的嫡子,理論經濟公理化再厲害都是後媽生的....
評分盜用陳天權教授的評價:“(該書)是作者在Pennsylvania州立大學的講義.作者在Freeman Dyson的鼓勵下寫成瞭這本多元微積分.它的數學內容並不深,但是它與力學,電動力學及狹義相對論結閤在一起講.使得數學與物理的相互影響曆曆在目.” 【此外再次覺得物理纔是數學的嫡子,理論經濟公理化再厲害都是後媽生的....
評分啓迪思想,引人入勝的書
評分盜用陳天權教授的評價:“(該書)是作者在Pennsylvania州立大學的講義.作者在Freeman Dyson的鼓勵下寫成瞭這本多元微積分.它的數學內容並不深,但是它與力學,電動力學及狹義相對論結閤在一起講.使得數學與物理的相互影響曆曆在目.” 【此外再次覺得物理纔是數學的嫡子,理論經濟公理化再厲害都是後媽生的....
評分啓迪思想,引人入勝的書
作者在序言中说这本书受两本书的启发:Tom Apostol的Calculus--作者念本科时的课本,和H. Edward的 Advanced Calculus: A Differential Forms Approach。 我感觉这本书可称得上是“小说型”的课本,认真读它,做好习题,你会进入与Newton,Maxwell,Poincare,E.Cartan同呼吸的境...
評分作者在序言中说这本书受两本书的启发:Tom Apostol的Calculus--作者念本科时的课本,和H. Edward的 Advanced Calculus: A Differential Forms Approach。 我感觉这本书可称得上是“小说型”的课本,认真读它,做好习题,你会进入与Newton,Maxwell,Poincare,E.Cartan同呼吸的境...
評分作者在序言中说这本书受两本书的启发:Tom Apostol的Calculus--作者念本科时的课本,和H. Edward的 Advanced Calculus: A Differential Forms Approach。 我感觉这本书可称得上是“小说型”的课本,认真读它,做好习题,你会进入与Newton,Maxwell,Poincare,E.Cartan同呼吸的境...
評分作者在序言中说这本书受两本书的启发:Tom Apostol的Calculus--作者念本科时的课本,和H. Edward的 Advanced Calculus: A Differential Forms Approach。 我感觉这本书可称得上是“小说型”的课本,认真读它,做好习题,你会进入与Newton,Maxwell,Poincare,E.Cartan同呼吸的境...
評分作者在序言中说这本书受两本书的启发:Tom Apostol的Calculus--作者念本科时的课本,和H. Edward的 Advanced Calculus: A Differential Forms Approach。 我感觉这本书可称得上是“小说型”的课本,认真读它,做好习题,你会进入与Newton,Maxwell,Poincare,E.Cartan同呼吸的境...
Second Year Calculus pdf epub mobi txt 電子書 下載 2024