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Geometry & Topology


Understanding Geometry

Understanding Geometry Lowest new price: $15.00
Lowest used price: $1.90
List price: $21.95
Author: Kathy Richardson

This valuable teachers resource provides teachers with classroom tested activities that help children develop in-depth understandings about 2-D and 3-D geometry concepts and spatial awareness.

Understanding Geometry is more than a book about geometry activities. Kathy provides the following resources for teachers:
- Background information on what we need to know about geometry
- Assessment and observation moments are highlighted - Geometry Terminology Glossary
- Planning Guide for Grades K-3
- Task Cards

Features:

  • Explore 2D and 3D shapes

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Lecture Notes on Topoi and Quasitopoi

Lecture Notes on Topoi and Quasitopoi Lowest new price: $65.00
Lowest used price: $54.95
List price: $65.00
Author: Oswald Wyler

Quasitopoi generalize topoi, a concept of major importance in the theory of Categoreis, and its applications to Logic and Computer Science. In recent years, quasitopoi have become increasingly important in the diverse areas of Mathematics such as General Topology and Fuzzy Set Theory. These Lecture Notes are the first comprehensive introduction to quasitopoi, and they can serve as a first introduction to topoi as well.


More Mathematical Quilts: No Sewing Required!, Grades 6-12

More Mathematical Quilts: No Sewing Required!, Grades 6-12 Lowest new price: $64.46
Lowest used price: $18.83
List price: $27.12
Author: Diana Venters
Brand: Brand: Key Curriculum Press

Designed to help students improve visualization skills and understanding of geometric relationships, and to help them succeed at geometry-based deductive reasoning

Features:

  • Used Book in Good Condition

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Space-Filling Curves (Universitext)

Space-Filling Curves (Universitext) Lowest new price: $55.99
Lowest used price: $37.43
List price: $69.99
Author: Hans Sagan

The subject of space-filling curves has fascinated mathematicians for over a century and has intrigued many generations of students of mathematics. Working in this area is like skating on the edge of reason. Unfortunately, no comprehensive treatment has ever been attempted other than the gallant effort by W. Sierpiriski in 1912. At that time, the subject was still in its infancy and the most interesting and perplexing results were still to come. Besides, Sierpiriski's paper was written in Polish and published in a journal that is not readily accessible (Sierpiriski [2]). Most of the early literature on the subject is in French, German, and Polish, providing an additional raison d'etre for a comprehensive treatment in English. While there was, understandably, some intensive research activity on this subject around the turn of the century, contributions have, nevertheless, continued up to the present and there is no end in sight, indicating that the subject is still very much alive. The recent interest in fractals has refocused interest on space­ filling curves, and the study of fractals has thrown some new light on this small but venerable part of mathematics. This monograph is neither a textbook nor an encyclopedic treatment of the subject nor a historical account, but it is a little of each. While it may lend structure to a seminar or pro-seminar, or be useful as a supplement in a course on topology or mathematical analysis, it is primarily intended for self-study by the aficionados of classical analysis.


Topology Problem Solver (Problem Solvers Solution Guides)

Topology Problem Solver (Problem Solvers Solution Guides) Lowest new price: $151.67
Lowest used price: $30.98
List price: $30.95
Author: The Editors of REA
Brand: Brand: Research Education Association

Thorough coverage is given to the fundamental concepts of topology, axiomatic set theory, mappings, cardinal numbers, ordinal numbers, metric spaces, topological spaces, separation axioms, Cartesian products, the elements of homotopy theory, and other topics. A comprehensive study aid for the graduate student and beyond.

Features:

  • Used Book in Good Condition

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Topological Graph Theory (Wiley Series in Discrete Mathematics and Optimization)

Topological Graph Theory (Wiley Series in Discrete Mathematics and Optimization) Lowest new price: $78.65
Lowest used price: $13.25
List price: $164.00
Author: Jonathan L. Gross

This definitive treatment written by well-known experts emphasizes graph imbedding while providing thorough coverage of the connections between topological graph theory and other areas of mathematics: spaces, finite groups, combinatorial algorithms, graphical enumeration, and block design. Almost every result of studies in this field is covered, including most proofs and methods. Its numerous examples and clear presentation simplify conceptually difficult material, making the text accessible to students as well as researchers. Includes an extensive list of references to current literature.

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Orderly Tangles: Cloverleafs, Gordian Knots and Regular Polylinks

Orderly Tangles: Cloverleafs, Gordian Knots and Regular Polylinks Lowest new price: $77.94
Lowest used price: $19.64
List price: $60.00
Author: Alan Holden

Discusses the geometry of highway interchanges, knots, weaving, cat's cradle, and linked chains of polyhedrons

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Multidimensional Real Analysis II: Integration (Cambridge Studies in Advanced Mathematics)

Multidimensional Real Analysis II: Integration (Cambridge Studies in Advanced Mathematics) Lowest new price: $109.21
Lowest used price: $95.00
List price: $134.00
Author: J. J. Duistermaat

Volume 2 provides a comprehensive review of integral analysis in multidimensional Euclidean space.

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Orbit and Constellation Design and Management (Space Technology Library, Vol. 13) - Renewed Edition

Orbit and Constellation Design and Management (Space Technology Library, Vol. 13) - Renewed Edition Lowest new price: $69.00
Lowest used price: $50.00
List price: $69.00
Author: James R Wertz
Brand: Brand: Microcosm, Inc

Orbit and Constellation Design and Management (OCDM) provides greatly expanded detail on many topics first introduced in the 2 of the earlier Wertz works - Spacecraft Attitude Determination and Control (SADC) and Space Mission Analysis and Design (SMAD).

If these two books got you started in mission engineering and you need more detail on the key area of Spacecraft Orbit and Attitude Systems (SOAS), then this book provides more detail in SOAS requirements definition, mission geometry, orbit and constellation design, relative motion of satellites, observation and measurement systems engineering, orbit control and management, and similar topics.

Features:

  • Used Book in Good Condition

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Conjecture and Proof (Classroom Resource Materials)

Conjecture and Proof (Classroom Resource Materials) Lowest new price: $37.00
Lowest used price: $9.37
List price: $37.00
Author: Miklós Laczkovich

The Budapest semesters in mathematics were initiated with the aim of offering undergraduate courses that convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course on 'Conjecture and Proof'. It gives miniature introductions to various areas of mathematics by presenting some interesting and important, but easily accessible results and methods. The text contains complete proofs of deep results such as the transcendence of e, the Banach-Tarski paradox and the existence of Borel sets of arbitrary (finite) class. One of the purposes is to demonstrate how far one can get from the first principles in just a couple of steps. Prerequisites are kept to a minimum, and any introductory calculus course provides the necessary background for understanding the book. Exercises are included for the benefit of students. However, this book should prove fascinating for any mathematically literate reader.

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