Intermediate Maths for Chemists
by J. E. Parker
Publisher: Bookboon 2013
Number of pages: 106
This volume teaches Maths from a 'chemical' perspective and is the second of a three part series of texts taken during a first-year university course. It is the Maths required by a Chemist, or Chemical Engineer, Chemical Physicist, Molecular Biologist, Biochemist or Biologist. Tutorial questions with fully worked solutions structured on a weekly basis to help the students to self-pace themselves are used.
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by Erhan Cinlar, Robert J. Vanderbei
This text covers general notions regarding sets, functions, sequences, and series; metric spaces, convergence, continuity, approximations; functions on metric spaces; differential and integral equations; convex analysis; measure and integration.
by N. L. Carothers - Bowling Green State University
The text is intended as a survey of elementary techniques in Approximation Theory for novices and non-experts. It is sufficient background to facilitate reading more advanced books on the subject. Prerequisites include a course in advanced calculus.
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Topics: dimensional analysis and scaling; perturbation methods; the calculus of variations; the theory of partial differential equations; Sturm-Liouville theory; transform theory with applications; Hamiltonian theory and isoperimetric problems; etc.
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The purpose of this paper is to show through particular examples how group theory is used in music. Examples are chosen from the theoretical work and from the compositions of Olivier Messiaen, one of the most influential twentieth century composers.