European Mathematical Society - a. k. peters, wellesley
https://euro-math-soc.eu/publisher/k-peters-wellesley-0
enPractical Linear Algebra - A Geometry Toolbox
https://euro-math-soc.eu/review/practical-linear-algebra-geometry-toolbox
<div class="field field-name-field-review-review field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><div class="tex2jax"><p>This book covers all the fundamental topics of linear algebra and outlines some of its applications. Unlike the majority of mathematical textbooks, it does not use the standard theorem-proof approach. The authors explain linear algebra by means of examples and its practical and geometric applications. The reader is led to an intuitive understanding of the notions of the subject and provided with a nice survey of their applications. The basic topics (vectors, linear maps, linear systems, affine maps, and eigenvalues and eigenvectors) are explained first in two dimensions. Then the same concepts are retained and extended in a three dimensional setting, and finally general linear systems of equations and general vector spaces are defined and studied. In addition, several chapters are devoted to geometric and practical applications including the analysis of conics, polygons, triangulations, numerical methods, and curves. The book also contains a brief postscript tutorial chapter and solutions to selected problems. The book is designed for students of fields using linear algebra, such as engineering or computer science. The text could help specialists in these branches to understand the mathematical background of the methods they use. It is also an inspiring book for pure mathematicians who would like to learn more about applications of linear algebra. It is definitely a useful source of many nice examples and applications for teachers of linear algebra.</p>
</div></div></div></div><div class="field field-name-field-review-reviewer field-type-text field-label-inline clearfix"><div class="field-label">Reviewer: </div><div class="field-items"><div class="field-item even">pru</div></div></div><span class="vocabulary field field-name-field-review-author field-type-taxonomy-term-reference field-label-inline clearfix"><h2 class="field-label">Author: </h2><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/author/g-farin" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">g. farin</a></li><li class="vocabulary-links field-item odd"><a href="/author/d-hansford" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">d. hansford</a></li></ul></span><span class="vocabulary field field-name-field-review-publisher field-type-taxonomy-term-reference field-label-inline clearfix"><h2 class="field-label">Publisher: </h2><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/publisher/k-peters-wellesley-0" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">a. k. peters, wellesley</a></li></ul></span><div class="field field-name-field-review-pub field-type-number-integer field-label-inline clearfix"><div class="field-label">Published: </div><div class="field-items"><div class="field-item even">2005</div></div></div><div class="field field-name-field-review-isbn field-type-text field-label-inline clearfix"><div class="field-label">ISBN: </div><div class="field-items"><div class="field-item even">1-56881-234-5</div></div></div><div class="field field-name-field-review-price field-type-text field-label-inline clearfix"><div class="field-label">Price: </div><div class="field-items"><div class="field-item even">USD 67</div></div></div><span class="vocabulary field field-name-field-review-msc field-type-taxonomy-term-reference field-label-hidden"><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/msc/15-linear-and-multilinear-algebra-matrix-theory" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">15 Linear and multilinear algebra, matrix theory</a></li></ul></span>Sat, 22 Oct 2011 18:09:33 +0000Anonymous39990 at https://euro-math-soc.euThe Pea and the Sun: A Mathematical Paradox
https://euro-math-soc.eu/review/pea-and-sun-mathematical-paradox
<div class="field field-name-field-review-review field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><div class="tex2jax"><p>Every year in November we organize at Charles University the so-called Day of Open Doors. The interested public is encouraged to come and listen to lectures and watch physical experiments, shows and exhibitions, etc. Departments send their representatives to advertise their subjects. In our department (mathematical analysis), people take turns in trying to prepare an interesting lecture on analysis. The choice of topic largely depends on the personal taste of the lecturer, but there is one issue that is almost always present: the Banach-Tarski paradox. The message to a student goes somehow as follows: if you decide to study analysis, we will teach you in the second year measure course how to partition a 100 Crown banknote to pieces and then to reassemble them to form a 1000 Crown banknote (special scissors are recommended).<br />
The Banach-Tarski paradox is something really special. Some call it the most surprising result in theoretical mathematics. Many respectable citizens feel irate and call for a law against it. Even among professional mathematicians the claim ignited a lot of controversy immediately after the result was published. The remarkable Banach-Tarski theorem was obtained by two great stars of 20th century Polish mathematics, Stefan Banach and Alfred Tarski, in 1924. The two had very little in common otherwise and this was their only meeting point, their only joint work (imagine what they could have discovered had they worked together longer!). Banach's main subject was analysis; he is considered to be the founder of functional analysis and the list of objects bearing his name is rather impressive. Tarski was an equally spectacular logician. When the general public gradually learned about the theorem, the controversy mentioned above spread and people (including mathematicians) formed two antagonistic camps, one accepting the beautiful discovery and tolerating its counterintuitive nature and the other rejecting it right from the very start as outrageous nonsense.<br />
A good part of the controversy and the misunderstandings was caused by the fact that the result is hardly accessible for a layman. It is a deep measure-theoretic theorem whose understanding requires a thorough study of several abstract disciplines and perfect knowledge of the Axiom of Choice and non-measurable sets. Therefore, naturally, despite the avalanche of highly technical papers in academic journals, little has been written for the general public. Most experts would consider it a very difficult task, many impossible. Well, not any more. The book by Leonard M. Wapner shows that the task is possible and it achieves the goal in a most satisfactory way. One does not need to have a degree in mathematics in order to follow the lively and readable, highly intriguing story of the paradox. Yet the exposition is serious, correct and comprehensive, and it presents a detailed proof of the result. The presentation is light-hearted, highly entertaining and illustrated with many examples, puzzles, etc. This book is (already) a classic in an area that needed one.</p>
</div></div></div></div><div class="field field-name-field-review-reviewer field-type-text field-label-inline clearfix"><div class="field-label">Reviewer: </div><div class="field-items"><div class="field-item even">lp</div></div></div><span class="vocabulary field field-name-field-review-author field-type-taxonomy-term-reference field-label-inline clearfix"><h2 class="field-label">Author: </h2><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/author/l-m-wapner" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">l. m. wapner</a></li></ul></span><span class="vocabulary field field-name-field-review-publisher field-type-taxonomy-term-reference field-label-inline clearfix"><h2 class="field-label">Publisher: </h2><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/publisher/k-peters-wellesley-0" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">a. k. peters, wellesley</a></li></ul></span><div class="field field-name-field-review-pub field-type-number-integer field-label-inline clearfix"><div class="field-label">Published: </div><div class="field-items"><div class="field-item even">2005</div></div></div><div class="field field-name-field-review-isbn field-type-text field-label-inline clearfix"><div class="field-label">ISBN: </div><div class="field-items"><div class="field-item even">1-56881-213-2</div></div></div><div class="field field-name-field-review-price field-type-text field-label-inline clearfix"><div class="field-label">Price: </div><div class="field-items"><div class="field-item even">USD 34</div></div></div><span class="vocabulary field field-name-field-review-msc field-type-taxonomy-term-reference field-label-hidden"><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/msc/03-mathematical-logic-and-foundations" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">03 Mathematical logic and foundations</a></li></ul></span>Fri, 21 Oct 2011 13:03:30 +0000Anonymous39935 at https://euro-math-soc.euA Mathematical Autobiography
https://euro-math-soc.eu/review/mathematical-autobiography
<div class="field field-name-field-review-review field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><div class="tex2jax"><p>This book is an excellent autobiography written by the one of the greatest 20th century mathematician Saunders Mac Lane (1909-2005). The book is an account of his personal and scientific life. In fifteen parts subdivided into 64 chapters, the author describes his life from his youth and studies in the USA, through his studies in Göttingen (where he was close to D. Hilbert) up to his stays at many important universities (including Yale, Harvard and Chicago). He explains the academic, cultural and political atmosphere and traditions in the USA, Europe and China in the 20th century. His memoirs contain many interesting reflections on his scientific work and teaching concepts, relations between the political situations and scientific activities in the USA and Europe, and the relationship between his professional and personal lives.<br />
He presents his inspiring style of teaching, which influenced many leading mathematicians of our time in the USA. He explains his scientific activities and ideas (research in modern algebra, category theory, homological algebra, algebraic functions, geometric mechanics and the philosophy of mathematics). He also describes his work on the monographs ‘A Survey of Modern Algebra’ (with G. Birkhoff) and ‘Homology’, which influenced the development of modern mathematical research. Some chapters are devoted to his activities as part of the American Mathematical Society (he was its influential president) and the National Academy of Science. He mixes professional observations with deeply personal commentaries. Many photographs of Mac Lane, his family and friends are included. The book was written not only for mathematicians but also for laymen interested in mathematics, mathematicians and their lives.</p>
</div></div></div></div><div class="field field-name-field-review-reviewer field-type-text field-label-inline clearfix"><div class="field-label">Reviewer: </div><div class="field-items"><div class="field-item even">mbec</div></div></div><span class="vocabulary field field-name-field-review-author field-type-taxonomy-term-reference field-label-inline clearfix"><h2 class="field-label">Author: </h2><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/author/s-mac-lane" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">s. mac lane</a></li></ul></span><span class="vocabulary field field-name-field-review-publisher field-type-taxonomy-term-reference field-label-inline clearfix"><h2 class="field-label">Publisher: </h2><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/publisher/k-peters-wellesley-0" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">a. k. peters, wellesley</a></li></ul></span><div class="field field-name-field-review-pub field-type-number-integer field-label-inline clearfix"><div class="field-label">Published: </div><div class="field-items"><div class="field-item even">2005</div></div></div><div class="field field-name-field-review-isbn field-type-text field-label-inline clearfix"><div class="field-label">ISBN: </div><div class="field-items"><div class="field-item even">1-56881-150-0</div></div></div><div class="field field-name-field-review-price field-type-text field-label-inline clearfix"><div class="field-label">Price: </div><div class="field-items"><div class="field-item even">USD 39</div></div></div><span class="vocabulary field field-name-field-review-msc field-type-taxonomy-term-reference field-label-hidden"><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/msc/01-history-and-biography" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">01 History and biography</a></li></ul></span>Fri, 21 Oct 2011 12:25:00 +0000Anonymous39921 at https://euro-math-soc.euConnection Games: Variations on a Theme
https://euro-math-soc.eu/review/connection-games-variations-theme
<div class="field field-name-field-review-review field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><div class="tex2jax"><p>Connection games constitute certain kinds of board game that share a common feature: the main goal is to develop or complete a connection of some sort before the other players do. The games have plenty of applications in many areas, in particular in economy. The classic connection game is called Hex, invented in the 40’s by Danish mathematician Piet Hein and reinvented shortly afterwards by the famous John Nash. The subject of connection games had been studied with growing interest through the second half of the twentieth century and has seen a real boom since 2000. By the outbreak of 21st century, connection games had finally earned certain recognition as a distinct genre of board game. Connection games can be described mathematically but they can also be enjoyed by players with no mathematical education whatsoever. The introduction of connection games to the public was established through Martin Gardner's Scientific American article ‘Concerning the Game of Hex, which May be Played on the Tiles of the Bathroom Floor’, which was published in 1957.<br />
It seems that time has come for a comprehensive book dedicated purely to connection games to appear. And here it is! This book by C. Browne is a true masterpiece in an area in which such a thing was desperately needed and there is no doubt that it will become a classic. Moreover, it is likely to attract many people not only to connection games or strategy games, but, in general, to mathematics. What a blessing! The book is a skilful blend of history, graph theory, psychology, philosophy, strategy and tactics, and, most of all, it is an encyclopedia of games, plenty of which haven't been published before. The book is unbearably entertaining and dangerous too; one should certainly not open it unless one has a free two hours or so.<br />
First of all, the book describes a precise definition of what is exactly meant by a connection game. Examples illustrate why for example Go or Tic Tac Toe are not connection games. The notions of adjacency, connection, pattern, duality, switching games, graphs, edges, vertices, deadlocks and more are explained thoroughly, correctly and completely, and yet the expository is carefully kept light enough in order not to scare away math-phobic readers. The main part of the text is devoted to a detailed description of the games (Part II). Each game has its own section in which the rules, strategy and tactics, history and variants are described together with interesting notes. Although the games are examined in detail, the emphasis is on exploring their philosophy, fundamental nature and what distinguishes them from other games.<br />
Many games are published here for the first time. Most of them have been invented since 2000, many by the author of the book (such as the intriguing three-dimensional game Druid). One of the things I like most about this book is that it concentrates solely on board games. Computer games are excluded unless they have a reasonable board version. OK. Enough! Don't read this review. Read the book. It is simply a great one.</p>
</div></div></div></div><div class="field field-name-field-review-reviewer field-type-text field-label-inline clearfix"><div class="field-label">Reviewer: </div><div class="field-items"><div class="field-item even">lp</div></div></div><span class="vocabulary field field-name-field-review-author field-type-taxonomy-term-reference field-label-inline clearfix"><h2 class="field-label">Author: </h2><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/author/c-browne" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">c. browne</a></li></ul></span><span class="vocabulary field field-name-field-review-publisher field-type-taxonomy-term-reference field-label-inline clearfix"><h2 class="field-label">Publisher: </h2><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/publisher/k-peters-wellesley-0" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">a. k. peters, wellesley</a></li></ul></span><div class="field field-name-field-review-pub field-type-number-integer field-label-inline clearfix"><div class="field-label">Published: </div><div class="field-items"><div class="field-item even">2005</div></div></div><div class="field field-name-field-review-isbn field-type-text field-label-inline clearfix"><div class="field-label">ISBN: </div><div class="field-items"><div class="field-item even">1-56881-224-8</div></div></div><div class="field field-name-field-review-price field-type-text field-label-inline clearfix"><div class="field-label">Price: </div><div class="field-items"><div class="field-item even">USD 48</div></div></div><span class="vocabulary field field-name-field-review-msc field-type-taxonomy-term-reference field-label-hidden"><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/msc/91-game-theory-economics-social-and-behavioral-sciences" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">91 Game theory, economics, social and behavioral sciences</a></li></ul></span>Fri, 21 Oct 2011 11:33:48 +0000Anonymous39905 at https://euro-math-soc.euMathematical Mind-Benders
https://euro-math-soc.eu/review/mathematical-mind-benders
<div class="field field-name-field-review-review field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><div class="tex2jax"><p>This book is a new collection of mathematical puzzles, a collection of interesting and challenging problems from diverse sources and mathematical disciplines. The puzzles in the book are difficult but they are elegant, entertaining and they do not require advanced mathematics to be appreciated or solved. Most of them are supposed to confound the intuition and stimulate the brain and mathematical thinking. The puzzles are divided into chapters for convenience and they are classified loosely by mathematical topics. Formulation of the puzzles and problems is followed by their solutions, together with information on their background presented at the end of each chapter. This structure offers a good opportunity for the reader to think at least a little about each puzzle. The book can be recommended to students, teachers and authors of problems, as well as to lovers of mathematics, puzzles and challenges.</p>
</div></div></div></div><div class="field field-name-field-review-reviewer field-type-text field-label-inline clearfix"><div class="field-label">Reviewer: </div><div class="field-items"><div class="field-item even">mbec</div></div></div><span class="vocabulary field field-name-field-review-author field-type-taxonomy-term-reference field-label-inline clearfix"><h2 class="field-label">Author: </h2><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/author/p-winkler" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">p. winkler</a></li></ul></span><span class="vocabulary field field-name-field-review-publisher field-type-taxonomy-term-reference field-label-inline clearfix"><h2 class="field-label">Publisher: </h2><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/publisher/k-peters-wellesley-0" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">a. k. peters, wellesley</a></li></ul></span><div class="field field-name-field-review-pub field-type-number-integer field-label-inline clearfix"><div class="field-label">Published: </div><div class="field-items"><div class="field-item even">2007</div></div></div><div class="field field-name-field-review-isbn field-type-text field-label-inline clearfix"><div class="field-label">ISBN: </div><div class="field-items"><div class="field-item even">978-1-56881-336-3</div></div></div><div class="field field-name-field-review-price field-type-text field-label-inline clearfix"><div class="field-label">Price: </div><div class="field-items"><div class="field-item even">USD 18.95</div></div></div><span class="vocabulary field field-name-field-review-msc field-type-taxonomy-term-reference field-label-hidden"><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/msc/97-mathematics-education" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">97 Mathematics education</a></li></ul></span>Fri, 30 Sep 2011 17:12:54 +0000Anonymous39811 at https://euro-math-soc.euMarvelous Modular Origami
https://euro-math-soc.eu/review/marvelous-modular-origami
<div class="field field-name-field-review-review field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><div class="tex2jax"><p>This book is the first book by Meenakshi Mukerji, who was awarded the 2005 Florence Temko Award by OrigamiUSA for her contributions to origami. The book contains detailed instructions for construction of 30 original modular origami models. Every instruction is supported by many schematic coloured pictures. The author describes basic folding techniques required to construct the “modules” that are used to construct complex ornamental models. In the book, it is possible to find various types of origami like sonobes, floral balls and patterned dodecahedra. The reader can also find here information about types of material suitable for origami, recommended colour combinations and the mathematics behind the models. The book is intended for intermediate but beginners are also encouraged to try.</p>
</div></div></div></div><div class="field field-name-field-review-reviewer field-type-text field-label-inline clearfix"><div class="field-label">Reviewer: </div><div class="field-items"><div class="field-item even">jhr</div></div></div><span class="vocabulary field field-name-field-review-author field-type-taxonomy-term-reference field-label-inline clearfix"><h2 class="field-label">Author: </h2><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/author/m-mukerji" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">m. mukerji</a></li></ul></span><span class="vocabulary field field-name-field-review-publisher field-type-taxonomy-term-reference field-label-inline clearfix"><h2 class="field-label">Publisher: </h2><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/publisher/k-peters-wellesley-0" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">a. k. peters, wellesley</a></li></ul></span><div class="field field-name-field-review-pub field-type-number-integer field-label-inline clearfix"><div class="field-label">Published: </div><div class="field-items"><div class="field-item even">2007</div></div></div><div class="field field-name-field-review-isbn field-type-text field-label-inline clearfix"><div class="field-label">ISBN: </div><div class="field-items"><div class="field-item even">978-1-56881-316-5</div></div></div><div class="field field-name-field-review-price field-type-text field-label-inline clearfix"><div class="field-label">Price: </div><div class="field-items"><div class="field-item even">USD 14.95</div></div></div><span class="vocabulary field field-name-field-review-msc field-type-taxonomy-term-reference field-label-hidden"><ul class="vocabulary-list"><li class="vocabulary-links field-item even"><a href="/msc/00-general" typeof="skos:Concept" property="rdfs:label skos:prefLabel" datatype="">00 General</a></li></ul></span>Fri, 30 Sep 2011 16:53:18 +0000Anonymous39354 at https://euro-math-soc.eu