{"title":"V I Arnold","description":null,"products":[{"product_id":"ordinary-differential-equations-book-vi-arnold-9780262510189","title":"Ordinary Differential Equations","description":"Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49543786987793,"sku":"GOR010172748","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50098512167185,"sku":"CIN0262510189G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52684904005905,"sku":"NLS9780262510189","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0262510189.jpg?v=1751258951"},{"product_id":"lectures-and-problems-book-v-i-arnold-9781470422592","title":"Lectures and Problems","description":"Vladimir Arnold (1937-2010) was one of the great mathematical minds of the late 20th century. He did significant work in many areas of the field. On another level, he was keeping with a strong tradition in Russian mathematics to write for and to directly teach younger students interested in mathematics. This book contains some examples of Arnold's contributions to the genre.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49757886218513,"sku":"NGR9781470422592","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50628669866257,"sku":"GOR014017058","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50955447566609,"sku":"CIN147042259XG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/147042259X.jpg?v=1763483982"},{"product_id":"catastrophe-theory-book-v-i-arnold-9783540128595","title":"Catastrophe Theory","description":"Singularity theory is growing very fast and many new results have been discovered since the Russian edition appeared: for instance the relation of the icosahedron to the problem of by- passing a generic obstacle. The reader can find more details about this in the articles \"Singularities of ray systems\" and \"Singularities in the calculus of variations\" listed in the bi- bliography of the present edition. Moscow, September 1983 v. I. Arnold Preface to the Russian Edition \"Experts discuss forecasting disasters\" said a New York Times report on catastrophe theory in November 1977. The London Times declared Catastrophe Theory to be the \"main intellectual movement of the century\" while an article on catastrophe theory in Science was headed \"The emperor has no clothes\". This booklet explains what catastrophe theory is about and why it arouses such controversy. It also contains non-con- troversial results from the mathematical theories of singulari- ties and bifurcation. The author has tried to explain the essence of the fundamen- tal results and applications to readers having minimal mathe- matical background but the reader is assumed to have an in- quiring mind. Moscow 1981 v. I. Arnold Contents Chapter 1. Singularities, Bifurcations, and Catastrophe Theories ...1 Chapter 2. Whitney's Singularity Theory ...3 Chapter 3. Applications of Whitney's Theory 7 Chapter 4. A Catastrophe Machine ...10 Chapter 5. Bifurcations of Equilibrium States 14 Chapter 6. Loss of Stability of Equilibrium and the Generation of Auto-Oscillations ...20 .","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":49962925981969,"sku":"CIN354012859XG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/354012859X.jpg?v=1751064952"},{"product_id":"dynamics-statistics-and-projective-geometry-of-galois-fields-book-v-arnold-9780521692908","title":"Dynamics, Statistics and Projective Geometry of Galois Fields","description":"V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50352268607761,"sku":"CIN0521692903G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":51092443758865,"sku":"GOR012622634","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52331825463569,"sku":"NLS9780521692908","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53351660257553,"sku":"NIN9780521692908","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/B00A2NS80Y.jpg?v=1751446933"},{"product_id":"mathematical-understanding-of-nature-book-v-i-arnold-9781470417017","title":"Mathematical Understanding of Nature","description":"This collection of 39 short stories gives the reader a unique opportunity to take a look at the scientific philosophy of Vladimir Arnold, one of the most original contemporary researchers. Topics of the stories included range from astronomy, to mirages, to motion of glaciers, to geometry of mirrors and beyond. In each case Arnold's explanation is both deep and simple, which makes the book interesting and accessible to an extremely broad readership. Original illustrations hand drawn by the author help the reader to further understand and appreciate Arnold's view on the relationship between mathematics and science.  Arnold's talent for exposition shines in this collection of short chapters on a miscellany of topics. I could not stop reading until I reached the end of the book. This book will entertain and enrich any curious person, whether a layman or a specialist”. - Mark Levi, Penn State University, USA author of The Mathematical Mechanic.  “This book, which fits all mathematical ages, provides a glimpse into the “laboratory” of one of the most influential mathematicians of our time. Its genre is absolutely unique. A kaleidoscope of intriguing examples illustrating applications of mathematics to real life, intertwines with entertaining and often wildly funny mathematical anecdotes, as well as with profound insights into modern research areas. A brilliant informal exposition, complemented by artful drawings by the author, makes the book a fascinating read”. - Leonid Polterovich, Tel-Aviv University, Israel.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50628673208593,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50628673700113,"sku":"GOR008694577","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":52947277021457,"sku":"CIN1470417014G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1470417014.jpg?v=1753001986"},{"product_id":"catastrophe-theory-book-v-i-arnold-9780387548111","title":"Catastrophe Theory","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51326001479953,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":51326004461841,"sku":"CIN0387548114G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0387548114.jpg?v=1751260074"},{"product_id":"dynamical-systems-v-book-vi-arnold-9783540181736","title":"Dynamical Systems V","description":"Bifurcation theory and catastrophe theory are two of the best known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Moreover, understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to hot topics, such as the characterization of personalities and the difference between a genius and a maniac. Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, the first printing of which was published as Volume 5 of the Encyclopaedia of Mathematical Sciences, have given a masterly exposition of these two theories, with penetrating insight.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52147487211793,"sku":"NLS9783540181736","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783540181736.jpg?v=1757600679"},{"product_id":"dynamical-systems-vii-book-vi-arnol-d-9783540181767","title":"Dynamical Systems VII","description":"This book is another volume in the successful subseries \"Dynamical Systems\" of the Encyclopaedia of Mathematical Sciences. It focuses on new developments in the field of integrable systems and it provides a unique and comprehensive survey on new differential geometric and Lie-algebraic methods. Since other literature on these topics is often rather unreadable, this volume will be an indispensable guide to the current research which no mathematician or theoretical physicist who is interested in this field can do without.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52148700217617,"sku":"NLS9783540181767","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783540181767.jpg?v=1757604378"},{"product_id":"singularity-theory-book-v-i-arnold-9780521285117","title":"Singularity Theory","description":"Professor Arnold is a prolific and versatile mathematician who has done striking work in differential equations and geometrical aspects of analysis. In this volume are collected seven of his survey articles from Russian Mathematical Surveys on singularity theory, the area to which he has made most contribution. These surveys contain Arnold's own analysis and synthesis of a decade's work. All those interested in singularity theory will find this an invaluable compilation. Professor C. T. C. Wall has written an introduction outlining the significance and content of the articles.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52152158683409,"sku":"NLS9780521285117","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780521285117.jpg?v=1757615740"},{"product_id":"mathematical-methods-of-classical-mechanics-book-v-i-arnold-9781475716948","title":"Mathematical Methods of Classical Mechanics","description":null,"brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52669109666065,"sku":"NLS9781475716948","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781475716948.jpg?v=1762286664"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-v-i-arnold.oembed","provider":"World of Books ","version":"1.0","type":"link"}