{"title":"A Gardiner","description":null,"products":[{"product_id":"mathematical-olympiad-handbook-book-a-gardiner-9780198501053","title":"The Mathematical Olympiad Handbook","description":"Mathematical Olympiad competitions started in Hungary at the end of the nineteenth century, and are now held internationally. They bring together able secondary school pupils who attempt to solve problems which develop their mathematical skills. Olympiad problems are unpredictable and have no obvious starting point, and although they require only the skills learnt in ordinary school problems they can seem much harder. The Mathematical Olympiad Handbook introduces readers to these challenging problems and aims to convince them that Olympiads are not just for a select minority. The book contains problems from the first 32 British Mathematical Olympiad (BMO) papers 1965-96 and gives hints and outline solutions to each problem from 1975 onwards. An overview is given of the basic mathematical skills needed, and a list of books for further reading is provided. Working through the exercises provides a valuable source of extension and enrichment for all pupils and adults interested in mathematics.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49529730695441,"sku":"GOR001504986","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":49707699929361,"sku":"CIN0198501056G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":50126880768273,"sku":"GOR004019314","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0198501056.jpg?v=1772274161"},{"product_id":"discovering-mathematics-book-a-gardiner-9780198532651","title":"Discovering Mathematics","description":"The word 'mathematics' usually conjures up a world of more-or-less familiar problems to be solved by more-or-less familiar techniques. This book examines a very different aspect of mathematics, namely how one can begin to explore unfamiliar, fresh ideas and chance observations, how one can pursue them through various stages until the light eventually begins to dawn, and how this whole process invariably throws up other interesting questions one would otherwise never have thought of. The items have been designed to provide certain basic experiences from struggling to explain simple, but puzzling mathematical phenomena, to discovering for oneself some new and totally unexpected bit of mathematics. Readers should have no difficulty with the mathematical techniques which are required. They should therefore be in a position to reflect on some of the more striking features of the process whereby unsuspected mathematical relationships are uncovered, and on the way they emerge. The problems studied avoid the kind of sophistication which would put them out of reach of ordinary students, yet are sufficiently complex to capture the essential features of the process of mathematical discovery. No attempt has been made to reduce this process to the level of checklists of catchwords. Readers will want to identify and reflect on the significance of these essential features for themselves.","brand":"WoB","offers":[{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":49555554566417,"sku":"GOR013757254","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ WELL_READ \/ INTERNAL","offer_id":49614282916113,"sku":"GOR003612881","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50127225192721,"sku":"GOR001380414","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":51505314201873,"sku":"GOR001405342","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":52102735298833,"sku":"CIN0198532652G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0198532652.jpg?v=1750780681"},{"product_id":"mathematical-puzzling-book-a-gardiner-9780486409207","title":"Mathematical Puzzling","description":"Here is a collection of unusual problems and puzzles which are designed to help students develop their capacity to think through difficult mathematical problems in an enjoyable and challenging way. The problems are grouped into 29 sections, each developing a single theme, with each section followed by a commentary suggesting ideas and approaches that students can try. Advanced math is not required, and most sections are accessible to younger students. The emphasis is on intuitive and investigative approaches which can stimulate individual creativity and provide a focus for group discussion and learning.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49560702681361,"sku":"GOR003187686","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":49892457906449,"sku":"CIN0486409201G","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":49925819433233,"sku":"GOR013815646","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51334403784977,"sku":"CIN0486409201VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486409201.jpg?v=1751427045"},{"product_id":"discovering-mathematics-book-a-gardiner-9780486452999","title":"Discovering Mathematics","description":"The term mathematics usually suggests an array of familiar problems with solutions derived from well-known techniques. \u003ci\u003eDiscovering Mathematics: The Art of Investigation\u003c\/i\u003e takes a different approach, exploring how new ideas and chance observations can be pursued, and focusing on how the process invariably leads to interesting questions that would never have otherwise arisen.\u003cbr\u003eWith puzzles involving coins, postage stamps, and other commonplace items, students are challenged to account for the simple explanations behind perplexing mathematical phenomena. Elementary methods and solutions allow readers to concentrate on the way in which the material is explored, as well as on strategies for answers that aren't immediately obvious. The problems don't require the kind of sophistication that would put them out of reach of ordinary students, but they're sufficiently complex to capture the essential features of mathematical discovery. Complete solutions appear at the end.","brand":"WoB","offers":[{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":50403848061201,"sku":"GOR013935535","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51002879869201,"sku":"NIN9780486452999","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":52104347320593,"sku":"CIN0486452999G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":53374931271953,"sku":"GOR003772150","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486452999.jpg?v=1751358512"},{"product_id":"infinite-processes-book-a-gardiner-9780387906058","title":"Infinite Processes","description":"What shall we say of this metamorphosis in passing from finite to infinite? Galileo, Two New Sciences As its title suggests, this book was conceived as a prologue to the study of \"Why the calculus works\"--otherwise known as analysis. It is in fact a critical reexamination of the infinite processes arising in elementary math- ematics: Part II reexamines rational and irrational numbers, and their representation as infinite decimals; Part III examines our ideas of length, area, and volume; and Part IV examines the evolution of the modern function-concept. The book may be used in a number of ways: firstly, as a genuine pro- logue to analysis; secondly, as a supplementary text within an analysis course, providing a source of elementary motivation, background and ex- amples; thirdly, as a kind of postscript to elementary analysis-as in a senior undergraduate course designed to reinforce students' understanding of elementary analysis and of elementary mathematics by considering the mathematical and historical connections between them. But the contents of the book should be of interest to a much wider audience than this- including teachers, teachers in training, students in their last year at school, and others interested in mathematics.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51277599277329,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":51277599342865,"sku":"GOR014214442","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0387906053.jpg?v=1751229006"},{"product_id":"infinite-processes-book-a-gardiner-9781461256564","title":"Infinite Processes","description":"What shall we say of this metamorphosis in passing from finite to infinite? Galileo, Two New Sciences As its title suggests, this book was conceived as a prologue to the study of Why the calculus works--otherwise known as analysis. It is in fact a critical reexamination of the infinite processes arising in elementary math- ematics: Part I reexamines rational and irrational numbers, and their representation as infinite decimals; Part I examines our ideas of length, area, and volume; and Part IV examines the evolution of the modern function-concept. The book may be used in a number of ways: firstly, as a genuine pro- logue to analysis; secondly, as a supplementary text within an analysis course, providing a source of elementary motivation, background and ex- amples; thirdly, as a kind of postscript to elementary analysis-as in a senior undergraduate course designed to reinforce students' understanding of elementary analysis and of elementary mathematics by considering the mathematical and historical connections between them. But the contents of the book should be of interest to a much wider audience than this- including teachers, teachers in training, students in their last year at school, and others interested in mathematics.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52125231841553,"sku":"NLS9781461256564","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461256564.jpg?v=1757463456"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-a-gardiner.oembed","provider":"World of Books ","version":"1.0","type":"link"}