Algebra Books
Cambridge University Press HOW TO FOLD IT The Mathematics of linkages Origami and Polyhedra
Book SynopsisWhat do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? With the help of 200 colour figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible contexts as they arise. He shows how variations on these basic problems lead directly to the frontiers of current mathematical research and offers ten accessible unsolved problems for the enterprising reader. Before tackling these, you can test your skills on fifty exercises with complete solutions. The book's website, http://www.howtofoldit.org, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out.Trade Review'The major theorems presented are remarkable - results that may surprise the reader include the fact that, with the right folds, any shape or collection of shapes (even ones with holes in) … composed of straight lines may be cut out from a sheet of paper with just a single cut.' London Mathematical Society Newsletter'In this beautiful and inspiring book with many colour figures the reader can find a fascinating mathematical approach to linkages, foldings and unfoldings. Many exercises with detailed solutions give the reader the chance to control the acquired skills.' Hansueli Hosli, Zentralblatt MATH'… a great book for someone who wants to learn about the mathematics behind origami without being overwhelmed by the mathematics itself. This is a great book for a high school or undergraduate student to get introduced to the open problems in computational origami.' Brittany Terese Fasy and David L. Millman, SIGACT NewsTable of ContentsPart I. Linkages: 1. Robot arms; 2. Straight-line linkages and the pantograph; 3. Protein folding and pop-up cards; Part II. Origami: 4. Flat vertex folds; 5. Fold and one-cut; 6. The shopping bag theorem; Part III. Polyhedra: 7. Durer's problem: edge unfolding; 8. Unfolding orthogonal polyhedra; 9. Folding polygons to convex polyhedra; 10. Further reading; 11. Glossary; 12. Answers to exercises; 13. Permissions and acknowledgments.
£34.00
Cambridge University Press Motivic Integration and its Interactions with Model Theory and NonArchimedean Geometry Volume I 383 London Mathematical Society Lecture Note Series Series Number 383
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£66.68
Cambridge University Press Trends in Commutative Algebra 51 Mathematical Sciences Research Institute Publications Series Number 51
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£44.64
Cambridge University Press Explicit Brauer Induction With Applications to Algebra and Number Theory 40 Cambridge Studies in Advanced Mathematics Series Number 40
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£44.64
Cambridge University Press Cohomology of Drinfeld Modular Varieties Part I Geometry Counting of Points and Local Harmonic Analysis 41 Cambridge Studies in Advanced Mathematics Series Number 41
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£50.95
Cambridge University Press Field Extensions and Galois Theory 22 Encyclopedia of Mathematics and its Applications Series Number 22
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£44.64
Cambridge University Press Galois Groups and Fundamental Groups 41 Mathematical Sciences Research Institute Publications Series Number 41
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£51.29
Cambridge University Press Permanents 6 Encyclopedia of Mathematics and its Applications Series Number 6
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£42.74
Cambridge University Press 78 Finite Groups and Finite Geometries Cambridge Tracts in Mathematics Series Number 78
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£47.49
Cambridge University Press Noncommutative Rational Series with Applications 137 Encyclopedia of Mathematics and its Applications Series Number 137
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£105.45
Cambridge University Press Totally Positive Matrices 181 Cambridge Tracts in Mathematics Series Number 181
Book SynopsisTotally positive matrices constitute a particular class of matrices that features strongly in many areas of mathematics with diverse applications. This account of the subject provides a comprehensive treatment of their central properties, with full proofs and a complete bibliography.Trade Review"... found the book particularly effective as a tool for a reading group on algebraic statistics; it is an excellent resource, cuts straight to the subject's open questions, and should be an interesting read for any researcher for theoretical statistics." Robin J. Evans, SIAM ReviewTable of ContentsForeword; 1. Basic properties of totally positive matrices; 2. Criteria for total positivity and strict total positivity; 3. Variation diminishing; 4. Examples; 5. Eigenvalues and eigenvectors; 6. Factorizations of totally positive matrices; Afterword; References; Subject index; Author index.
£105.45
Cambridge University Press Category and Measure
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£99.00
Cambridge University Press LMS 20 Sheaf Theory London Mathematical Society Lecture Note Series Series Number 20
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£67.51
Cambridge University Press LMS 16 Topics in Finite Group Thy London Mathematical Society Lecture Note Series Series Number 16
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£45.16
Cambridge University Press LMS 29 Abelian Groups London Mathematical Society Lecture Note Series Series Number 29
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£47.63
Cambridge University Press LMS 31 Crossed Products Algebras London Mathematical Society Lecture Note Series Series Number 31
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£45.16
Cambridge University Press LMS 32 Uniform Algebras London Mathematical Society Lecture Note Series Series Number 32
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£50.95
Cambridge University Press LMS 34 Representatn Thry Lie Group London Mathematical Society Lecture Note Series Series Number 34
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£84.07
Cambridge University Press Homological Group Theory 36 London Mathematical Society Lecture Note Series Series Number 36
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£50.99
Cambridge University Press LMS 42 Group Presentations London Mathematical Society Lecture Note Series Series Number 42
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£65.86
Cambridge University Press LMS 94 Representn Linear Groups London Mathematical Society Lecture Note Series Series Number 94
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£53.99
Cambridge University Press Commutative Algebra Durham 1981 72 London Mathematical Society Lecture Note Series Series Number 72
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£45.16
Cambridge University Press skewfields
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£55.09
Cambridge University Press Algebra Through Practice
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£28.99
Cambridge University Press Algebra Through Practice
Book SynopsisProblem solving is an art that is central to understanding and ability in mathematics. With this series of books the authors have provided a selection of problems with complete solutions and test papers designed to be used with or instead of standard textbooks on algebra. For the convenience of the reader, a key explaining how the present books may be used in conjunction with some of the major textbooks is included. Each book of problems is divided into chapters that begin with some notes on notation and prerequisites. The majority of the material is aimed at the student of average ability but there are some more challenging problems. By working through the books, the student will gain a deeper understanding of the fundamental concepts involved, and practice in the formulation, and so solution, of other algebraic problems. Later books in the series cover material at a more advanced level than the earlier titles, although each is, within its own limits, self-contained.Table of ContentsPreface; Background reference material; 1. Matrices and linear equations; 2. Inverses and determinants; 3. Eigenvalues and diagonalisation; 4. Vector spaces; 5. Linear mappings; 6. Inner product spaces; Solutions to chapter 1; Solutions to chapter 2; Solutions to chapter 3; Solutions to chapter 4; Solutions to chapter 5; Solutions to chapter 6; Test paper 1; Test paper 2; Test paper 3; Test paper 4.
£28.99
Cambridge University Press Algebra Through Practice
Book SynopsisProblem-solving is an art central to understanding and ability in mathematics. With this series of books, the authors have provided a selection of worked examples, problems with complete solutions and test papers designed to be used with or instead of standard textbooks on algebra.Table of Contents1. Groups; 2. Rings and fields; Solutions to Chapter 1; Solutions to Chapter 2; Test paper 1; Test paper 2; Test paper 3; Test paper 4.
£27.99
Cambridge University Press Finite Group Algebras and their Modules 84 London Mathematical Society Lecture Note Series Series Number 84
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£45.16
Cambridge University Press FPF Ring Theory Faithful Modules and Generators of ModR 88 London Mathematical Society Lecture Note Series Series Number 88
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£47.63
Cambridge University Press LMS 92 Rings over Skew Fields London Mathematical Society Lecture Note Series Series Number 92
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£65.02
Cambridge University Press LMS 91 Classgroups of Group Rings London Mathematical Society Lecture Note Series Series Number 91
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£47.63
Cambridge University Press Groups St Andrews 2009 in Bath 387 London Mathematical Society Lecture Note Series Series Number 387
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£50.95
Cambridge University Press Groups St Andrews 2009 in Bath 388 London Mathematical Society Lecture Note Series Series Number 388
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£55.91
Cambridge University Press Linear Algebra Concepts and Methods
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£41.79
Cambridge University Press Journees Arithmetiques 1980 56 London Mathematical Society Lecture Note Series Series Number 56
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£77.44
Cambridge University Press LMS 63 Semigrouphs Banach Space London Mathematical Society Lecture Note Series Series Number 63
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£50.95
Cambridge University Press Introduction to Field Theory
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£35.14
Cambridge University Press LMS 77 Isolated Singular Points London Mathematical Society Lecture Note Series Series Number 77
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£59.22
Cambridge University Press LMS 74 Symmetric Designs An Algebraic Approach London Mathematical Society Lecture Note Series Series Number 74
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£72.99
Cambridge University Press LMS 80 Representation Theory London Mathematical Society Lecture Note Series Series Number 80
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£59.22
Cambridge University Press LMS 69 Representation Theory Selected Papers London Mathematical Society Lecture Note Series Series Number 69
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£74.13
Cambridge University Press An Introduction to Abstract Algebra
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£37.04
Cambridge University Press A First Course of Homological Algebra
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£37.37
Cambridge University Press Field Extensions and Galois Theory 22 Encyclopedia of Mathematics and its Applications Series Number 22
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£122.55
Cambridge University Press A First Course in Linear Algebra With Concurrent Examples
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£39.89
Cambridge University Press Lectures on the Asymptotic Theory of Ideals
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£55.09
Cambridge University Press Introduction to Linear and Convex Programming 1 Australian Mathematical Society Lecture Series Series Number 1
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£31.34
Cambridge University Press Compactification of Siegel Moduli Schemes 107 London Mathematical Society Lecture Note Series Series Number 107
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£69.99
Cambridge University Press Representations of Algebras Proceedings of the Durham Symposium 1985 116 London Mathematical Society Lecture Note Series Series Number 116
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£55.09