By Robert G. Mortimer
ISBN-10: 0125083475
ISBN-13: 9780125083478
Mathematics for actual Chemistry, 3rd Edition, is the fitting textual content for college students and actual chemists who are looking to sharpen their arithmetic talents. it will probably aid organize the reader for an undergraduate path, function a supplementary textual content to be used in the course of a path, or function a reference for graduate scholars and practising chemists. The textual content concentrates on purposes rather than concept, and, even though the emphasis is on actual chemistry, it may even be important commonly chemistry classes.
The 3rd version comprises new routines in every one bankruptcy that supply perform in a method instantly after dialogue or instance and inspire self-study. the 1st ten chapters are developed round a series of mathematical themes, with a steady development into extra complex fabric. the ultimate bankruptcy discusses mathematical issues wanted within the research of experimental facts.
* a number of examples and difficulties interspersed in the course of the shows
* each one broad bankruptcy incorporates a preview, pursuits, and summary
* comprises subject matters no longer present in related books, reminiscent of a assessment of basic algebra and an advent to workforce theory
* presents chemistry particular guideline with no the distraction of summary strategies or theoretical matters in natural arithmetic
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Extra resources for Mathematics for Physical Chemistry, Third Edition
Example text
39) From the definition of the tangent function, Eq. 3), φ = arctan y . 40) However, since we want φ to range from 0 to 2π radians, we must specify this range for the inverse tangent function, instead of using the principal value. If we are using a calculator that is programmed to deliver the principal value, we must decide in advance which quadrant φ lies in and be prepared to add π or 2π to the calculator result if it lies in the wrong quadrant. 11 (a) Find x and y if ρ = 6 and φ = π/6 radians.
The numbers and variables on which we operate in this section are called real numbers and real variables, They do not include imaginary numbers such as the square root of −1, which we discuss later. They are also called scalars, to distinguish them from vectors, which have direction as well as magnitude. Real scalar numbers have magnitude, a specification of the size of the number, and sign, which can be positive or negative. Algebraic Manipulations Algebra involves symbolic operations. You manipulate symbols instead of carrying out numerical operations.
If C is the sum of A and B, then C=A+B Cx = Ax + Bx . 67) There are three kinds of products involving vectors. The product of a vector A and a scalar a is C = aA = iaAx + jaAy + kaAz . 68) The scalar product of two vectors is still given by A · B = |A| |B| cos (α) . 69) where α is the angle between the vectors. Analogous to Eq. 55), we have A · B = Ax Bx + Ay By + Az Bz . 70) Let A = 2i + 3j + 7k and B = 7i + 2j + 3k. Find A · B and the angle between A and B. Find (3A) · B. 71) The magnitude of B happens to be the same.
Mathematics for Physical Chemistry, Third Edition by Robert G. Mortimer
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