Mathematics and Its History

A Concise Edition

John Stillwell (Autor)

Buch | Hardcover

XV, 400 Seiten

2020 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-55192-6 (ISBN)

Artikel merken

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.

From reviews of previous editions:

"Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics." Richard J. Wilders, MAA, on the Third Edition

"The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and tothe development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition

John Stillwell is Professor Emeritus at the University of San Francisco and formerly Associate Professor at Monash University in Melbourne, Australia. He is an accomplished author, whose Springer books include: The Four Pillars of Geometry , Elements of Algebra , Naive Lie Theory , and many more.

1. The Theorem of Pythagoras.- 2. Greek Geometry.- 3. Greek Number Theory.- 4. Infinity in Greek Mathematics.- 5. Polynomial Equations.- 6. Algebraic Geometry.- 7. Projective Geometry.- 8. Calculus.- 9. Infinite Series.- 10. Elliptic Curves and Functions.- 11. Complex Numbers and Curves.- 12. Complex Numbers and Functions.- 13. Non-Euclidean Geometries.- 14. Group Theory.- 15. Topology.- 16. Commutative Algebra.- 17. Sets, Logic, and Computation.- Bibliography.- Index.

"This is a beautiful book. ... it would be fun to teach a course from it and I hope to get that chance. ... This book flows so well that I did not feel anything was lacking from it. ... I am confident that the many readers of Stillwell's work will find it satisfying and worthwhile to update their libraries with this edition. Those currently unfamiliar with his work will find this a delightful place to begin." (Michele Intermont, MAA Reviews, October 18, 2021)

“This is a beautiful book. … it would be fun to teach a course from it and I hope to get that chance. … This book flows so well that I did not feel anything was lacking from it. … I am confident that the many readers of Stillwell’s work will find it satisfying and worthwhile to update their libraries with this edition. Those currently unfamiliar with his work will find this a delightful place to begin.” (Michele Intermont, MAA Reviews, October 18, 2021)

Erscheinungsdatum	10.11.2020
Reihe/Serie	Undergraduate Texts in Mathematics
Zusatzinfo	XV, 400 p. 135 illus., 91 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	817 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
Themenwelt	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
Schlagworte	Algebra history • Ancient Greek math • Calculus history • Cauchy's theory • Commutative algebra history • Descartes geometry • Fermat history • Geometry history • Group theory history • History of Mathematics • infinite series • Number theory history • Pythagorean theorem history • Senior capstone math • Senior capstone math history • Topology history • Undergraduate math history
ISBN-10	3-030-55192-X / 303055192X
ISBN-13	978-3-030-55192-6 / 9783030551926
Zustand	Neuware