000			02681nam a22001697a 4500
005			20250515100716.0
008			250515b |||||||| |||| 00| 0 eng d
020			_a9783030551926
082			_a510 _bSTI
100			_aStillwell John
245			_aMathematics and Its History: A Concise Edition _b(Undergraduate Texts in Mathematics) _c John Stillwell
260			_bSpringer Cham _c07 November 2020
300			_aXV, 400
505			_tThe Theorem of Pythagoras John Stillwell Pages 1-15 Greek Geometry John Stillwell Pages 17-33 Greek Number Theory John Stillwell Pages 35-49 Infinity in Greek Mathematics John Stillwell Pages 51-62 Polynomial Equations John Stillwell Pages 63-84 Algebraic Geometry John Stillwell Pages 85-97 Projective Geometry John Stillwell Pages 99-121 Calculus John Stillwell Pages 123-138 Infinite Series John Stillwell Pages 139-155 Elliptic Curves and Functions John Stillwell Pages 157-179 Complex Numbers and Curves John Stillwell Pages 181-204 Complex Numbers and Functions John Stillwell Pages 205-223 Non-Euclidean Geometries John Stillwell Pages 225-256 Group Theory John Stillwell Pages 257-282 Topology John Stillwell Pages 283-296 Commutative Algebra John Stillwell Pages 297-322 Sets, Logic, and Computation John Stillwell Pages 323-346 Back Matter Pages 347-400
520			_aThis 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. 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. 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.
942			_2ddc _cBK
999			_c2526 _d2526