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University of Toronto Mathematics Competition (2001–2015)
This text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto. Problems cover areas of single-variable differential and integral calculus, linear algebra, advanced algebra, analytic geometry, combinatorics, basic group theory, and number theory. The problems of the competitions are given in ch…
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- ISBN/ISSN
- 978-3-319-28106-3
- Collation
- VIII, 207
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- -
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Turning Points in the History of Mathematics
This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and …
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- ISBN/ISSN
- 978-1-4939-3264-1
- Collation
- 38 b/w illustrations, 13 illustrations in colour
- Series Title
- -
- Call Number
- -
Elementary College Geometry
This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra. The emphasis is on applying basic geometric principles to the numerical solution of problems. For this purpose the number of theorems and definitions is…
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- Call Number
- 516 AFR e
Geometry with an Introduction to Cosmic Topology
Motivated by questions in cosmology, the open-content text Geometry with an Introduction to Cosmic Topology uses Mobius transformations to develop hyperbolic, elliptic, and Euclidean geometry - three possibilities for the global geometry of the universe. The text, written for students who have taken vector calculus, also explores the interplay between the shape of a space and the type of geo…
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- 516 HIT g
Introduction to Louis Michel’s lattice geometry through group action
This chapter describes the outline of the book and explains the interrelations between different chapters and appendices. The specificity of this book is an intensive use of group action ideas and terminology when discussing physical and mathematical models of lattices. Another important aspect is the discussion and comparison of various approaches to the characterization of lattices. Along wit…
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- ISBN/ISSN
- 9782759819522
- Collation
- -
- Series Title
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- Call Number
- 516 ZHI i
Minimal Free Resolutions over Complete Intersections
This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957. The theory extends the theory of matrix factorizations of …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-26436-3
- Collation
- X, 107
- Series Title
- Lecture Notes in Mathematics
- Call Number
- -
Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isomet…
This book discusses the learning and teaching of geometry, with a special focus on kindergarten and primary education. It examines important new trends and developments in research and practice, and emphasizes theoretical, empirical and developmental issues. Further, it discusses various topics, including curriculum studies and implementation, spatial abilities and geometric reasoning, as well …
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- ISBN/ISSN
- 9783319442723
- Collation
- vii, 50 pages
- Series Title
- -
- Call Number
- 516
Stochastic Geometry, Spatial Statistics and Random Fields Models and Algorithms
This volume is an attempt to provide a graduate level introduction to various aspects of stochastic geometry, spatial statistics and random fields, with special emphasis placed on fundamental classes of models and algorithms as well as on their applications, e.g. in materials science, biology and genetics. This book has a strong focus on simulations and includes extensive codes in Matlab and R …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-10064-7
- Collation
- -
- Series Title
- 70 b/w illustrations, 63 illustrations in colour
- Call Number
- XXIV, 464
Advances in Discrete Differential Geometry
This is one of the first books on a newly emerging field of discrete differential geometry and an excellent way to access this exciting area. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics. The authors take a closer look at discrete models in differential geometry an…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-662-50447-5
- Collation
- X, 439
- Series Title
- -
- Call Number
- 515.3 ADV a
Extended Abstracts Fall 2013 Geometrical Analysis; Type Theory, Homotopy The…
The two parts of the present volume contain extended conference abstracts corresponding to selected talks given by participants at the "Conference on Geometric Analysis" (thirteen abstracts) and at the "Conference on Type Theory, Homotopy Theory and Univalent Foundations" (seven abstracts), both held at the Centre de Recerca Matemàtica (CRM) in Barcelona from July 1st to 5th, 2013, and from Se…
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- ISBN/ISSN
- 978-3-319-21284-5
- Collation
- VI, 110
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- -
- Call Number
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