Elementary Calculus

Elementary CalculusThis first year calculus book is centered around the use of infinitesimals, an approach largely neglected until recently for reasons of mathematical rigor. It exposes students to the intuition that originally led to the calculus, simplifying their grasp of the central concepts of derivatives and integrals. The author also teaches the traditional approach, giving students the benefits of both methods. Chapters 1 through 4 employ infinitesimals to

Faraday's demonstration of the identity of all forms of electricity

and theoretical chemists will find essential calculation techniques explained with the greatest clarity

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yet she describes them with precision and in a matter-of-fact manner

Holberg: Jeppe of the Hill

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His compositions for solo piano continue to be loved and admired by pianists and their audiences for their lush Romanticism and technical fireworks

Sixty-seven years later

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An extensive theory of Cartan and related subalgebras of Lie algebras over arbitrary fields is developed in the final chapter