guide:Eb8d404504: Difference between revisions
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Although the reader is probably familiar with the geometry of sines and cosines, etc., in terms of angles, our definitions will emphasize them as functions of a real variable. Thus the stage is set for the development of the differential and integral calculus of these important functions. Later in the chapter we introduce complex numbers where exponential and trigonometric functions are blended in the famous equation <math>e^{ix} = \cos x + i \sin x</math>. We conclude with an application to linear differential equations. | Although the reader is probably familiar with the geometry of sines and cosines, etc., in terms of angles, our definitions will emphasize them as functions of a real variable. Thus the stage is set for the development of the differential and integral calculus of these important functions. Later in the chapter we introduce complex numbers where exponential and trigonometric functions are blended in the famous equation <math>e^{ix} = \cos x + i \sin x</math>. We conclude with an application to linear differential equations. | ||
==General references== | ==General references== | ||
{{cite web |title=Crowell and Slesnick’s Calculus with Analytic Geometry|url=https://math.dartmouth.edu/~doyle/docs/calc/calc.pdf |last=Doyle |first=Peter G.|date=2008 |access-date=Oct 29, 2024}} | {{cite web |title=Crowell and Slesnick’s Calculus with Analytic Geometry|url=https://math.dartmouth.edu/~doyle/docs/calc/calc.pdf |last=Doyle |first=Peter G.|date=2008 |access-date=Oct 29, 2024}} | ||
Latest revision as of 18:37, 19 November 2024
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Although the reader is probably familiar with the geometry of sines and cosines, etc., in terms of angles, our definitions will emphasize them as functions of a real variable. Thus the stage is set for the development of the differential and integral calculus of these important functions. Later in the chapter we introduce complex numbers where exponential and trigonometric functions are blended in the famous equation [math]e^{ix} = \cos x + i \sin x[/math]. We conclude with an application to linear differential equations.
General references
Doyle, Peter G. (2008). "Crowell and Slesnick's Calculus with Analytic Geometry" (PDF). Retrieved Oct 29, 2024.