# Download E-books Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory PDF

Through a cautious remedy of quantity conception and geometry, Number, Shape, & Symmetry: An advent to quantity concept, Geometry, and staff Theory is helping readers comprehend severe mathematical principles and proofs. Classroom-tested, the e-book attracts at the authors’ winning paintings with undergraduate scholars on the college of Chicago, 7th to 10th grade mathematically proficient scholars within the college of Chicago’s younger students software, and straightforward public tuition academics within the Seminars for Endorsement in technology and arithmetic schooling (SESAME).

The first half the publication specializes in quantity thought, starting with the foundations of mathematics (axioms for the integers). The authors then current the entire easy principles and purposes of divisibility, primes, and modular mathematics. in addition they introduce the summary thought of a bunch and comprise quite a few examples. the ultimate subject matters on quantity conception include rational numbers, actual numbers, and ideas approximately infinity.

Moving directly to geometry, the textual content covers polygons and polyhedra, together with the development of normal polygons and average polyhedra. It experiences tessellation through taking a look at styles within the airplane, in particular these made via usual polygons or units of standard polygons. The textual content additionally determines the symmetry teams of those figures and styles, demonstrating how teams come up in either geometry and quantity theory.

The booklet is appropriate for pre-service or in-service education for undemanding university academics, common schooling arithmetic or math for liberal arts undergraduate-level classes, and enrichment actions for top tuition scholars or math clubs.

Read or Download Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory PDF

Best Mathematics books

Selected Works of Giuseppe Peano

Chosen Works of Giuseppe Peano (1973). Kennedy, Hubert C. , ed. and transl. With a biographical cartoon and bibliography. London: Allen & Unwin; Toronto: collage of Toronto Press.

Fourier Series and Integrals (Probability and Mathematical Statistics)

The tips of Fourier have made their means into each department of arithmetic and mathematical physics, from the idea of numbers to quantum mechanics. Fourier sequence and Integrals specializes in the extreme strength and suppleness of Fourier's simple sequence and integrals and at the magnificent number of functions within which it's the leader software.

Solving Mathematical Problems: A Personal Perspective

Authored by means of a number one identify in arithmetic, this enticing and obviously offered textual content leads the reader in the course of the a number of strategies eager about fixing mathematical difficulties on the Mathematical Olympiad point. protecting quantity concept, algebra, research, Euclidean geometry, and analytic geometry, fixing Mathematical difficulties contains quite a few workouts and version recommendations all through.

Introduction to Algorithms, 3rd Edition (MIT Press)

A few books on algorithms are rigorous yet incomplete; others hide plenty of fabric yet lack rigor. creation to Algorithms uniquely combines rigor and comprehensiveness. The e-book covers a extensive variety of algorithms intensive, but makes their layout and research obtainable to all degrees of readers.

Additional info for Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory

Show sample text content