{"product_id":"counterexamples-in-probability-and-real-analysis-9780195070682","title":"Counterexamples in Probability and Real Analysis","description":"\u003cp\u003eA counterexample is any example or result that is the opposite of ones intuition or to commonly held beliefs. Counterexamples can have great educational value in illuminating complex topics that are difficult to explain in a rigidly logical  written presentation. For example  ideas in mathematical sciences that might seem intuitively obvious may be proved incorrect with the use of a counterexample. This monograph concentrates on counterexamples for use at the intersection of probability and real analysis  which makes it unique among such treatments. The authors argue convincingly that probability theory cannot be separated from real analysis  and this book contains over 300 examples related to both the theory and application of mathematics. Many of the examples in this collection are new  and many old ones  previously buried in the literature  are now accessible for the first time. In contrast to several other collections  all of the examples in this book are completely self-contained--no details are passed off to obscure outside references. Students and theorists across fields as diverse as real analysis  probability  statistics  and engineering will want a copy of this book.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":45646990213173,"sku":"ByrdShop_0195070682","price":119.94,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9780195070682.jpg?v=1781684601","url":"https:\/\/atxbooks.com\/products\/counterexamples-in-probability-and-real-analysis-9780195070682","provider":"ATX Books","version":"1.0","type":"link"}