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- catalog abstract "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.".
- catalog contributor b3630159.
- catalog created "c1991.".
- catalog date "1991".
- catalog date "c1991.".
- catalog dateCopyrighted "c1991.".
- catalog description "F=ma -- Vector algebra -- Celestial mechanics -- Differential forms -- Line integrals, multiple integrals -- Linear transformations -- Differential calculus -- Integration by pullback -- Techniques of differential calculus -- the fundamental theorem of calculus -- E = mc²".
- catalog description "Includes bibliographical references (p. [365]-366) and index.".
- catalog description "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.".
- catalog extent "xi, 386 p. :".
- catalog hasFormat "Second year calculus.".
- catalog identifier "038797606X".
- catalog isFormatOf "Second year calculus.".
- catalog isPartOf "Undergraduate texts in mathematics. Readings in mathematics".
- catalog issued "1991".
- catalog issued "c1991.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Second year calculus.".
- catalog subject "Calculus.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "QA303 .B88257 1991".
- catalog tableOfContents "F=ma -- Vector algebra -- Celestial mechanics -- Differential forms -- Line integrals, multiple integrals -- Linear transformations -- Differential calculus -- Integration by pullback -- Techniques of differential calculus -- the fundamental theorem of calculus -- E = mc²".
- catalog title "Second year calculus : from celestial mechanics to special relativity / David M. Bressoud.".
- catalog type "Aufgabensammlung. swd".
- catalog type "Lehrbuch. swd".
- catalog type "text".