By Serge Lang
This 5th variation of Lang's booklet covers all of the themes characteristically taught within the first-year calculus series. Divided into 5 elements, each one element of a primary direction IN CALCULUS comprises examples and purposes with regards to the subject coated. furthermore, the rear of the ebook comprises designated recommendations to various the workouts, permitting them to be used as worked-out examples -- one of many major advancements over earlier variations.
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Extra info for A First Course in Calculus, 3rd Edition
Electric forces at the same time "brace" matter against gravity and "bind" matter by forming chemical compounds; electric forces can be repulsive or attractive because of existence of both negative and positive electric charges. If electric forces were considerably stronger than they are observed to be, compound nuclei could not be 1. SCIENCE, PHYSICS, A N D PARTICLE PHYSICS 45 formed with existing short-range nuclear forces, since the repulsive electric force between the positively charged protons that in addition to neutrons constitute nuclei may then be too large.
On the 20th day a speed of about 10,000 miles/sec would be reached, and almost a billion miles would be covered during this day by which a total of only 200 lb of matter has been converted. Then it might even become possible to reach some other star systems in a humanly reasonable time! It would also become possible to reach any point on earth in a matter of minutes. If the nuclei in a material to be converted were polarized (oriented in s p a c e ) , a certain amount of directed radiation could already be obtained.
This would not appear to promote the stable equilibrium necessary for the kind of world spoken of above. Most knowledge can be used destructively—germ, chemical, atomic, and space warfare, the electric chair, misuse of the spoken or printed word, of karate, of narcotics, to name a few applications. Science will provide an understanding of our world and will provide a great multitude of tools. If these tools can be used to improve our material world, will this help to create a happier world? It should, if the tools will be used intelligently.
A First Course in Calculus, 3rd Edition by Serge Lang