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

By:

Stillwell John

Material type: Text

TextPublication details: Springer Cham 07 November 2020Description: XV, 400ISBN:

9783030551926

DDC classification:

510 STI

Contents:

The 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

Summary: 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. 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.

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Holdings
Item type	Current library	Collection	Call number	Status	Barcode
Books	IIITDM Kurnool SCIENCES	Non-fiction	510 STI (Browse shelf(Opens below))	Available	0007403
Books	IIITDM Kurnool SCIENCES	Non-fiction	510 STI (Browse shelf(Opens below))	Available	0007404

The 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

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.

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.

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