Modern Geometries: Non-Euclidean, Projective, and Discrete by Michael Henle

By Michael Henle

Enticing, obtainable, and widely illustrated, this short, yet good advent to trendy geometry describes geometry because it is known and utilized by modern mathematicians and theoretical scientists. essentially non-Euclidean in technique, it relates geometry to conventional rules from analytic geometry, staying firmly within the Cartesian airplane. It makes use of the main geometric suggestion of congruence or geometric transformation--introducing and utilizing the Erlanger software explicitly all through. It positive factors major smooth functions of geometry--e.g., the geometry of relativity, symmetry, paintings and crystallography, finite geometry and computation. Covers a whole diversity of issues from airplane geometry, projective geometry, stable geometry, discrete geometry, and axiom structures. For an individual drawn to an advent to geometry utilized by modern mathematicians and theoretical scientists.

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Extra resources for Modern Geometries: Non-Euclidean, Projective, and Discrete Geometry (2nd Edition)

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If you want to enter whole numbers, for example, you can simply set this to 0. Label The Label column allows you to label any variable whose meaning is not clear. 4. This clarifies the meaning of the stats variable name. ~ Labeling Variables ~_N_a_m_e__~IILI___T~ y p_e__~~-W_i_ dt_h~I~I_ De_c_im_a_ls~I,I____L_ab_e_l __~l[ stats Numeri c 8 2 stati sti cs In this example, we labeled the variable name slats as statistics in the Label column. Values This column allows you to identify the levels of your variable.

1 On the basis of the following example, we will identify the population, sample, population parameter, and sample statistic : Suppose you read an article in the local college newspaper citing that the average college student plays 2 hours of video games per week. To test whether this is true for your school, you randomly approach 20 fellow students and ask them how long (in hours) they play video games per week. You find that the average student, among those you asked, plays video games for 1 hour per week.

A characteristic that describes a sample, such as learning, is called a sample statistic and is the value that is measured in the study. A sample statistic is measured to estimate the population parameter. In this way, a sample is selected from a population to learn more about the characteristics in the population of interest. A population is identified as any group of interest, whether that group is all students worldwide or all students in a professor's class. Think of any group you are interested in.

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