AMS :: Bulletin of the American Mathematical Society

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The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.</p> <p><span id="issn"> ISSN 1088-9485 (online) ISSN 0273-0979 (print) </span></p> <p id="mcqintro">The 2024 MCQ for Bulletin of the American Mathematical Society is <span class="badge">0.84</span>. <a class="" data-toggle="collapse" href="#mcq" aria-expanded="false" aria-controls="mcq"> <i class="fa fa-info-circle" aria-hidden="true"></i></a> <div class="collapse" id="mcq"> What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. <a href="https://mathscinet.ams.org/mathscinet/search/journal/profile?groupId=3285" target="new">Subscribers to MathSciNet</a> may click through for more detailed information. </div> </p> </section> </div> </header> <main> <section class="row"> <nav class="col-md-3">  <nav class="journals-list-group"> <script type="text/javascript" src="/journals/javascript/bull_nav.js"></script> <a href="/journals/journals"><i class="fa-sharp fa-solid fa-house"></i> Journals Home</a> <a href="/epubsearch">eContent Search</a> <a href="/aboutbull" class="">About Bulletin of the American Mathematical Society</a> <a href="/bulledit" class="">Editorial Board</a> <a href="/bull/bullsubmit.html" class="">Author and Submission Information</a> <a href="/policies/policies" class="" target="_blank">Journal Policies</a> <a href="/subscriberinfo" class="" target="_blank">Subscription Information</a> <a href="/jemail" class="" target="_blank"> Journal Email Notifications</a> <hr> <a href="/pairing/pair_my_device.html"><i class="fa fa-globe" aria-hidden="true"></i> Remote Access</a> </nav> </nav> <article class="col-md-9"> <section>   <div class="row">  <ul class="nav nav-tabs"> <li role="presentation" class=""> <script type="text/javascript" src="/journals/javascript/bull_nav.js"></script> <a href="javascript: goto_most_recent_bull()" aria-controls="currissue" role="tab"> Current volume </a> </li> <li role="presentation" class="">  <a href="/cgi-bin/mstrack/accepted_papers/bull?active=press" aria-controls="press" role="tab">Articles in press </a> </li> <li role="presentation" class=""> <a href="/journals/bull/0000-000-00?active=recent"> Recently published</a> </li> <li role="presentation" class=""> <a href="/journals/bull/all_issues.html?active=allissues"> All issues : 1891 – Present </a> </li> </ul> <script src="/js/abstracts/ajaxcall.js"></script> </div> <p> </p> <style> #navCell { display: none;} </style> <script src="/journals/javascript/references.js" type="text/javascript"></script> <script async src="/js/mj.js"></script> <article class="col-md-12"> <header> <h2>Generalization of the Euclidean algorithm for real numbers to all dimensions higher than two<br> <small>HTML articles powered by AMS MathViewer <a href="/AMSMathViewer"><i class="fa fa-info-circle" aria-label="about MathViewer"></i></a></small></h2> <dl> <dd>by <a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Ferguson%2C%20H.%20R.%20P.">H. R. P. Ferguson</a> and <a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Forcade%2C%20R.%20W.">R. W. Forcade</a> <span class="pull-right"> <a href="S0273-0979-1979-14691-3.pdf"><small>PDF</small></a> </span> </dd> <dd>Bull. Amer. Math. Soc. <strong>1</strong> (1979), 912-914 </dd> </dl> </header> <section id="references"> <details> <summary>References</summary> <ul> </ul> </details> </section> <section id="similar"> <details> <summary>Similar Articles</summary> <ul> <li> Retrieve articles in <em>Bulletin of the American Mathematical Society</em> with MSC (1970): <a href="/joursearch/servlet/DoSearch?f1=msc&v1=10E45&jrnl=one&onejrnl=bull">10E45</a>, <a href="/joursearch/servlet/DoSearch?f1=msc&v1=10F10&jrnl=one&onejrnl=bull">10F10</a>, <a href="/joursearch/servlet/DoSearch?f1=msc&v1=10F20&jrnl=one&onejrnl=bull">10F20</a>, <a href="/joursearch/servlet/DoSearch?f1=msc&v1=10F37&jrnl=one&onejrnl=bull">10F37</a>, <a href="/joursearch/servlet/DoSearch?f1=msc&v1=12A10&jrnl=one&onejrnl=bull">12A10</a>, <a href="/joursearch/servlet/DoSearch?f1=msc&v1=10H05&jrnl=one&onejrnl=bull">10H05</a>, <a href="/joursearch/servlet/DoSearch?f1=msc&v1=02E10&jrnl=one&onejrnl=bull">02E10</a> </li> <li> Retrieve articles in all journals with MSC (1970): <a href="/joursearch/servlet/DoSearch?f1=msc&v1=10E45">10E45</a>, <a href="/joursearch/servlet/DoSearch?f1=msc&v1=10F10">10F10</a>, <a href="/joursearch/servlet/DoSearch?f1=msc&v1=10F20">10F20</a>, <a href="/joursearch/servlet/DoSearch?f1=msc&v1=10F37">10F37</a>, <a href="/joursearch/servlet/DoSearch?f1=msc&v1=12A10">12A10</a>, <a href="/joursearch/servlet/DoSearch?f1=msc&v1=10H05">10H05</a>, <a href="/joursearch/servlet/DoSearch?f1=msc&v1=02E10">02E10</a> </ul> </details> </section> <section id="additionalinformation"> <details> <summary>Additional Information</summary> <ul> <li>Journal: Bull. Amer. Math. Soc. <strong>1</strong> (1979), 912-914 </li> <li>MSC (1970): Primary 10E45, 10F10, 10F20; Secondary 10F37, 12A10, 10H05, 02E10 <li>DOI: https://doi.org/10.1090/S0273-0979-1979-14691-3</li> <li>MathSciNet review: <a href = "https://mathscinet.ams.org/mathscinet-getitem?mr=546316">546316</a></li> </ul> </details> </section> </article> </section> </article> </section> </main> </div>     <link href="/fontawesome/css/all.css" rel="stylesheet">  <link href="/css/2022-print.css" media="print" rel="stylesheet" />  <footer id="pagefooter"> <div> <a href="/"><img src="/images/content/footer-line.png" alt="Link to the American Mathematical Society homepage" class="img-responsive" loading="lazy" width="2197" height="100" aria-label="Return to homepage"></a></div> <section class="col-md-12 col-sm-12 text-center"> <aside class="row" id="">  <script src="https://kit.fontawesome.com/2ad6d7fbd6.js" crossorigin="anonymous" defer></script> <ul class="list-inline"> <li class="list-inline-item"><a href="https://www.facebook.com/amermathsoc" class="link-dark" title="Follow us on Facebook" aria-label="View the AMS on Facebook"><i class="fa-brands fa-facebook-f"></i></a></li> <li class="list-inline-item"><a href="https://twitter.com/amermathsoc" class="link-dark" title="Follow us on X" aria-label="View the AMS on X"><i class="fa-brands fa-x-twitter"></i></a></li> <li class="list-inline-item"><a href="https://www.linkedin.com/company/51001" class="link-dark" title="Follow us on LinkedIn" aria-label="View the AMS on LinkedIn"><i class="fa-brands fa-linkedin-in"></i></a></li> <li class="list-inline-item"><a href="https://www.instagram.com/amermathsoc" class="link-dark" title="Follow us on Instagram" aria-label="View the AMS on Instagram"><i class="fa-brands fa-instagram"></i></a></li> <li class="list-inline-item"><a href="https://www.youtube.com/amermathsoc" class="link-dark" title="Follow us on YouTube" aria-label="View the AMS on YouTube"><i class="fa-brands fa-youtube"></i></a></li> </ul> </aside> <p>American Mathematical Society · <a href="https://goo.gl/maps/ZvJdkQEC79p" title="Google map 201 Charles Street Providence, Rhode Island" aria-label="Google map to AMS headquarters">201 Charles Street Providence, Rhode Island 02904-2213</a> · <a href="/reach" aria-label="Contact Us">Contact Us</a></p> <p><small>AMS, American Mathematical Society, the tri-colored AMS logo, and Advancing research, Creating connections, are trademarks and services marks of the American Mathematical Society and registered in the U.S. Patent and Trademark Office.</small></p> <p> © <a href="/copyright" aria-label="Copyright policy">Copyright</a> <script> var now = new Date(); document.write(now.getFullYear()); </script> American Mathematical Society · <a href="/privacy" aria-label="Privacy statement">View Our Privacy Statement</a> · <a href="/tou" aria-label="Terms of use">Terms of Use</a> · <a href="/accessibility" aria-label="Accessibility policy"> Accessibility and AMS Online Content</a></p> </section> </footer>   <script>(function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start': new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0], j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src= 'https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f); })(window,document,'script','dataLayer','GTM-PQJKQL');</script>   <script> (function(i,s,o,g,r,a,m){i['GoogleAnalyticsObject']=r;i[r]=i[r]||function(){ (i[r].q=i[r].q||[]).push(arguments)},i[r].l=1*new Date();a=s.createElement(o), m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m) })(window,document,'script','https://www.google-analytics.com/analytics.js','ga'); ga('create', 'UA-2791151-1', 'auto', {'allowLinker': true }); ga('require', 'linker'); ga('linker:autoLink', ['www.ams.org','bookstore.ams.org','ebus.ams.org']); ga('set', 'hostname', 'www.ams.org'); ga('require', 'linkid'); ga('require', 'displayfeatures'); ga('send', 'pageview'); function amsTrackEvent (category, action, label) { ga('send', 'event', category, action, label); } function amsTrackPageview (page) { ga('send', 'pageview', page); } function amsAddTracking () { var contentDiv = document.getElementById('amsContentDiv'); if (!contentDiv) return 0; var aTags = contentDiv.getElementsByTagName('A'); for (i = 0; i < aTags.length; i++) { var url = aTags[i].href; url = url.replace(/.*ams.org/,''); if (url.match(/\.htm(l)?$/i) || ! 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