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It offers a useful springboard for seeing how probability theory is applied and leads to many corners of advanced mathematics.  The book can serve as a text for an upper division course in mathematics, statistics, or computer science departments and will be appreciated by graduate students and researchers in mathematics, statistics, and computer science, as well as magicians and people with a strong background in mathematics who are interested in games that use playing cards.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49553468293393,"sku":"GOR013538669","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":50408034107665,"sku":"GOR013938534","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1470463032.jpg?v=1763126421"},{"product_id":"numbers-and-the-world-book-david-mumford-qc-9781470470517","title":"Numbers and the World","description":"This book is a collection of essays written by a distinguished mathematician with a very long and successful career as a researcher and educator working in many areas of pure and applied mathematics. The author writes about everything he found exciting about math, its history, and its connections with art, and about how to explain it when so many smart people (and children) are turned off by it. The three longest essays touch upon the foundations of mathematics, upon quantum mechanics and Schrodinger's cat phenomena, and upon whether robots will ever have consciousness. Each of these essays includes some unpublished material. The author also touches upon his involvement with and feelings about issues in the larger world. The author's main goal when preparing the book was to convey how much he loves math and its sister fields.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49559103799569,"sku":"GOR013447394","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50384723312913,"sku":"CIN1470470519VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ GARDNERS","offer_id":50630762758417,"sku":"NGR9781470470517","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1470470519.jpg?v=1757413265"},{"product_id":"topology-of-numbers-book-allen-hatcher-9781470456115","title":"Topology of Numbers","description":"Provides an introduction to number theory at the undergraduate level, emphasizing geometric aspects of the subject. 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Authors Burkard Polster (YouTube's Mathologer) and Marty Ross delve into mathematical puzzles and phenomena in engaging stories featuring current events, sports, and history, many flavoured with a distinctive bit of Australiana.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49742207156497,"sku":"NGR9781470460112","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":50731654906129,"sku":"GOR014053187","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":52504580882705,"sku":"GOR013030560","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":53135963783441,"sku":"CIN1470460114G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1470460114.jpg?v=1763482606"},{"product_id":"mathematical-neighborhoods-of-school-mathematics-book-hyman-bass-9781470472474","title":"The Mathematical Neighborhoods of School Mathematics","description":"The Mathematical Neighborhoods of School Mathematics visits regions beyond, but proximal to and accessible from school mathematics. Its aim is to give readers a glimpse of not just the rich diversity and adaptability of mathematics, but, most importantly, its interconnections and overall coherence, a perspective not easily available from the school curriculum. This aim entailed assembling a variety of substantial mathematical domains that do not typically cohabit the same volume. The book begins with an in-depth treatment of topics in the school curriculum, often with novel approaches and connections. A unifying thread is the group theoretic study of addition and multiplication in the various number systems of school mathematics. The exposition is mathematically rigorous, including proofs of many fundamental theorems not otherwise easily available in mathematically accessible form.  The Mathematical Neighborhoods of School Mathematics is intended to be a conceptual contribution to mathematics education. It will be a valuable resource in professional development of mathematics teachers, and in mathematical enrichment programs, for both students and teachers. In this regard, many of the chapters are relatively self-contained. It could also serve as a text for undergraduate mathematics majors with an interest in teaching. The exceptional Chapter 11 presents some novel instructional designs for problem-solving activities meant to cultivate \"\"connection-oriented mathematical thinking.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50630767149329,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":50630769312017,"sku":"NGR9781470472474","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1470472473.jpg?v=1757417085"},{"product_id":"ultimate-challenge-book-jeffrey-c-lagarias-9781470472894","title":"The Ultimate Challenge","description":"The $3x+1$ problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer $x$ is odd then ``multiply by three and add one'', while if it is even then ``divide by two''. The $3x+1$ problem asks whether, starting from any positive integer, repeating this procedure over and over will eventually reach the number 1. Despite its simple appearance, this problem is unsolved. Generalizations of the problem are known to be undecidable, and the problem itself is believed to be extraordinarily difficult.  This book reports on what is known on this problem. It consists of a collection of papers, which can be read independently of each other. The book begins with two introductory papers, one giving an overview and current status, and the second giving history and basic results on the problem. These are followed by three survey papers on the problem, relating it to number theory and dynamical systems, to Markov chains and ergodic theory, and to logic and the theory of computation. The next paper presents results on probabilistic models for behavior of the iteration. This is followed by a paper giving the latest computational results on the problem, which verify its truth for $x \u0026lt; 5.4 \\cdot 10^{18}$. The book also reprints six early papers on the problem and related questions, by L. Collatz, J. H. Conway, H. S. M. Coxeter, C. J. Everett, and R. K. Guy, each with editorial commentary. The book concludes with an annotated bibliography of work on the problem up to the year 2000.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":50630769246481,"sku":"NGR9781470472894","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1470472899.jpg?v=1756707406"},{"product_id":"aspiring-and-inspiring-book-rebecca-garcia-9781470471767","title":"Aspiring and Inspiring","description":"Aspiring and Inspiring is a collection of essays from successful women and gender minority mathematicians on what it takes to build a career in mathematics. The individual essays are intended to advise, encourage, and inspire mathematicians throughout different stages of their careers. Themes emerge as these prominent individuals describe how they managed to persist and rise to positions of leadership in a field which can still be forbidding to many. We read, repeatedly, that individual mentorship matters, that networks of support can be critical, and that finding fulfillment can mean formulating one's own definition of success. Those who aspire to leadership in the field will find much useful advice here.  The cumulative power of the collection carries a strong impact. The glass ceiling is very real in mathematics and is the result of cultural and sociological factors at work in our community. The book makes clear that we won't achieve equality of opportunity merely by exhorting those who are often excluded to change their behaviors and their goals. The need for systemic cultural change is vividly, at times painfully, evident in these stories. As Dr. Erica Graham says in her powerful and moving essay, we need \"\"a different kind of academy\"\", and we'll only get it by working for it. We can start by reading this book and recognizing the kind of academy we currently have.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50630782648593,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":50630784123153,"sku":"NGR9781470471767","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1470471760.jpg?v=1757413157"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/miscellaneous-book-series-book-series.oembed","provider":"World of Books ","version":"1.0","type":"link"}