Stillwell  John  <br/><br/>
Mathematics and Its History: A Concise Edition   (Undergraduate Texts in Mathematics) 
John Stillwell  
 -  Springer Cham  07 November 2020 
 - XV, 400 
<br/><br/> The Theorem of Pythagoras<br/>John Stillwell<br/>Pages 1-15<br/>Greek Geometry<br/>John Stillwell<br/>Pages 17-33<br/>Greek Number Theory<br/>John Stillwell<br/>Pages 35-49<br/>Infinity in Greek Mathematics<br/>John Stillwell<br/>Pages 51-62<br/>Polynomial Equations<br/>John Stillwell<br/>Pages 63-84<br/>Algebraic Geometry<br/>John Stillwell<br/>Pages 85-97<br/>Projective Geometry<br/>John Stillwell<br/>Pages 99-121<br/>Calculus<br/>John Stillwell<br/>Pages 123-138<br/>Infinite Series<br/>John Stillwell<br/>Pages 139-155<br/>Elliptic Curves and Functions<br/>John Stillwell<br/>Pages 157-179<br/>Complex Numbers and Curves<br/>John Stillwell<br/>Pages 181-204<br/>Complex Numbers and Functions<br/>John Stillwell<br/>Pages 205-223<br/>Non-Euclidean Geometries<br/>John Stillwell<br/>Pages 225-256<br/>Group Theory<br/>John Stillwell<br/>Pages 257-282<br/>Topology<br/>John Stillwell<br/>Pages 283-296<br/>Commutative Algebra<br/>John Stillwell<br/>Pages 297-322<br/>Sets, Logic, and Computation<br/>John Stillwell<br/>Pages 323-346<br/>Back Matter<br/>Pages 347-400 
<br/><br/> This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course.<br/><br/>The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted.<br/>Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. 
<br/><br/><label>ISBN: </label>9783030551926 
<br/><br/><label>Dewey Class. No.: </label>510  / STI