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Second year calculus : = from celest...

Bressoud, David M., (1950-)

Second year calculus : = from celestial mechanics to special relativity /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Second year calculus :/ David M. Bressoud.
其他題名:	from celestial mechanics to special relativity /
其他題名:	From celestial mechanics to special relativity
作者:	Bressoud, David M.,
出版者:	New York :Springer-Verlag, : c1991.,
面頁冊數:	xi, 386 p. :ill. ; : 24 cm.;
標題:	Calculus. -
ISBN:	038797606X (pbk. : New York) :

Second year calculus : = from celestial mechanics to special relativity /
Bressoud, David M.,1950-

Second year calculus :from celestial mechanics to special relativity /From celestial mechanics to special relativityDavid M. Bressoud. - New York :Springer-Verlag,c1991. - xi, 386 p. :ill. ;24 cm. - Undergraduate texts in mathematics. Readings in mathematics. - Undergraduate texts in mathematics.Readings in mathematics..

Includes bibliographical references (p. [365]-366) and index.

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

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.

ISBN: 038797606X (pbk. : New York) :NT1877

LCCN: 91003846

Nat. Bib. No.: 92,A07,0626dnbSubjects--Topical Terms:

672391
Calculus.

LC Class. No.: QA303 / .B88257 1991

Dewey Class. No.: 515

Second year calculus : = from celestial mechanics to special relativity /
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505 0 # $a 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
520 # $a 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.
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830 0 $a Undergraduate texts in mathematics. $p Readings in mathematics. $3 1240516