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Second Year Calculus: From Celestial Mechanics To Special Relativity (Undergraduate Texts in Mathematics) de David M. Bressoud

Descripción - Críticas The subtitle of this book, ``From celestial mechanics to special relativity'' is correctly indicative of its content, and in the preface, the author enthusiastically pleads guilty to blurring the line between mathematics and physics. One of the book's merits is the substantive historical material given. Among other purposes this serves to show the physics setting in which many calculus concepts have their origin. The book eventually gets around to a fairly honest mathematical treatment of the traditional material of advanced calculus via differential forms, but before arriving at this in Chapter 5, mathematics students are likely to have some frustrating experiences. In Chapter 4 one encounters ``we define $\int\sp{bar b}\sb{bar a}f\sb 1(x,y,z)dx+f\sb 2(x,y,z)dy+f\sb 3(x,y,z)dz$ to be the work done by this force field as it moves a particle along the directed line segment from $bar a$ to $bar b$''. Exercise 8 at the end of this section states ``Prove that in an arbitrary force field the amount of work done in moving from $bar a$ to $bar b$ may be dependent on the path''. So, one asks oneself, how is {\it work} defined? Nothing more is to be found than the statement in Chapter 2 that work is force times distance, and the resulting representation as a dot product of vectors. The book has much to recommend it. If the first four chapters are primarily to serve as providing some intuitive foundation, it might be better to more explicitly acknowledge this, and to find a more appropriate formulation for whatever is intended in exercises such as the one cited above. ZENTRALBLATT MATH Reseña del editor 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 guides 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.

Problemario de cálculo diferencial de varias variables second year calculus from celestial mechanics to special relativity undergraduate texts in mathematics readings in mathematics springerverlag new york inc 2001 3 courant r y john f introducción al cálculo y al análisis matemático vol 2 Linear algebra joshua a background of at least one semester of calculus the help that it gives to texts this book is filled with illustrations of the theory, often quite detailed illustrations the second example is from chemistry we can mix, under controlled conditions, toluene c 7h 新着記事一覧 tarasakajinのブログ 楽天ブログ tarasakajinのブログの全30記事中1ページ目130件の新着記事一覧ページです

Electronic library download books for free over 2 electronic library download books for free over 2 million books and magazines booksee download books for free find books 9 best science student images science student sep 3, 2019 explore aadjesis board science student on pinterest see more ideas about science student, university physics, modern physics Física facultad de ciencias libros, exámenes, eventos the second and third are conclusions from the special and general theories of relativity, which this course explains in nontechnical detail in the laboratory of the mind a creative thinker from an early age, einstein had a knack for finding the perfect picture or thought experiment to express even the most arcane scientific ideasa quality that makes him unusually accessible to the

Detalles del Libro

• Name: Second Year Calculus: From Celestial Mechanics To Special Relativity (Undergraduate Texts in Mathematics)
  
• Autor: David M. Bressoud
  
• Categoria: Libros,Ciencias, tecnología y medicina,Matemáticas
  
• Tamaño del archivo: 10 MB
  
• Tipos de archivo: PDF Document
  
• Idioma: Español
  
• Archivos de estado: AVAILABLE
  

Lee un libro Second Year Calculus: From Celestial Mechanics To Special Relativity (Undergraduate Texts in Mathematics) de David M. Bressoud libros ebooks

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