Mathematics and Its History: A Concise Edition (Undergraduate Texts in Mathematics)

December 8, 2020
Mathematics and Its History: A Concise Edition (Undergraduate Texts in Mathematics)

Presents a concise, unified account of undergraduatemathematics by illustrating the rich historical context behindvarious topicsBalances breadth and rigor in a manageable volume that’ssuitable for a one-semester courseExplores various moments in history through a mathematicalperspective——————————This textbook provides a unified and concise exploration ofundergraduate mathematics by approaching the subject through itshistory. Readers will discover the rich tapestry of ideas behindfamiliar topics from the undergraduate curriculum, such ascalculus, algebra, topology, and more. Featuring historicalepisodes ranging from the Ancient Greeks to Fermat and Descartes,this volume offers a glimpse into the broader context in whichthese ideas developed, revealing unexpected connections that makethis ideal for a senior capstone course.The presentation of previous versions has been refined byomitting the less mainstream topics and inserting new connectingmaterial, allowing instructors to cover the book in a one-semestercourse. This condensed edition prioritizes succinctness andcohesiveness, and there is a greater emphasis on visual clarity,featuring full color images and high quality 3D models. As inprevious editions, a wide array of mathematical topics are covered,from geometry to computation; however, biographical sketches havebeen omitted.Mathematics and Its History: A Concise Edition is anessential resource for courses or reading programs on the historyof mathematics. Knowledge of basic calculus, algebra, geometry,topology, and set theory is assumed.From reviews of previous editions:“Mathematics and Its History is a joy to read. The writing isclear, concise and inviting. The style is very different from atraditional text. I found myself picking it up to read at theexpense of my usual late evening thriller or detective novel…. Theauthor has done a wonderful job of tying together the dominantthemes of undergraduate mathematics.” Richard J.Wilders, MAA, on the Third Edition"The book...is presented in a lively style withoutunnecessary detail. It is very stimulating and will be appreciatednot only by students. Much attention is paid to problems and to thedevelopment of mathematics before the end of the nineteenthcentury.... This book brings to the non-specialist interested inmathematics many interesting results. It can be recommended forseminars and will be enjoyed by the broad mathematicalcommunity." European Mathematical Society, on theSecond Edition