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| Author | : Christopher James Phillips |
| Publisher | : University of Chicago Press |
| Total Pages | : 242 |
| Release | : 2015 |
| Genre | : Education |
| ISBN | : 022618496X |
An era of sweeping cultural change in America, the postwar years saw the rise of beatniks and hippies, the birth of feminism, and the release of the first video game. This book examines the rise and fall of the new math as a marker of the period's political and social ferment.
| Author | : Alexander Hahn |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 572 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : 9780387946061 |
This introductory calculus text was developed by the author through his teaching of an honors calculus course at Notre Dame. The book develops calculus, as well as the necessary trigonometry and analytic geometry, from witin the relevant historical context, and yet it is not a textbook in the history of mathematics as such. The notation is modern, and the material is selected to cover the basics of the subject. Special emphasis is placed on pedagogy throughout. Whhile emphasizing the broad applications of the subject, emphasis is placed on the mathematical content of the subject.
| Author | : Stefan Behrens |
| Publisher | : Oxford University Press |
| Total Pages | : 300 |
| Release | : 2021-07-15 |
| Genre | : Mathematics |
| ISBN | : 0192578383 |
Based on Fields medal winning work of Michael Freedman, this book explores the disc embedding theorem for 4-dimensional manifolds. This theorem underpins virtually all our understanding of topological 4-manifolds. Most famously, this includes the 4-dimensional Poincaré conjecture in the topological category. The Disc Embedding Theorem contains the first thorough and approachable exposition of Freedman's proof of the disc embedding theorem, with many new details. A self-contained account of decomposition space theory, a beautiful but outmoded branch of topology that produces non-differentiable homeomorphisms between manifolds, is provided, as well as a stand-alone interlude that explains the disc embedding theorem's key role in all known homeomorphism classifications of 4-manifolds via surgery theory and the s-cobordism theorem. Additionally, the ramifications of the disc embedding theorem within the study of topological 4-manifolds, for example Frank Quinn's development of fundamental tools like transversality are broadly described. The book is written for mathematicians, within the subfield of topology, specifically interested in the study of 4-dimensional spaces, and includes numerous professionally rendered figures.
| Author | : Steven Strogatz |
| Publisher | : Eamon Dolan Books |
| Total Pages | : 389 |
| Release | : 2019 |
| Genre | : History |
| ISBN | : 1328879984 |
From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.
| Author | : John B. Hahn |
| Publisher | : Prometheus Enterprises Incorporated |
| Total Pages | : 275 |
| Release | : 1995 |
| Genre | : Mathematics |
| ISBN | : 9781886783003 |
| Author | : Serge Lang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 741 |
| Release | : 2012-09-17 |
| Genre | : Mathematics |
| ISBN | : 1441985328 |
This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples -- one of the main improvements over previous editions.
| Author | : David Perkins |
| Publisher | : MAA |
| Total Pages | : 181 |
| Release | : 2012-04-12 |
| Genre | : Education |
| ISBN | : 0883855755 |
The story of how calculus came to be, accessible to anyone with a basic knowledge of geometry and algebra.
| Author | : James M. Henle |
| Publisher | : Courier Corporation |
| Total Pages | : 144 |
| Release | : 2014-01-15 |
| Genre | : Mathematics |
| ISBN | : 0486151018 |
Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, more. 1979 edition.
| Author | : Seth Braver |
| Publisher | : |
| Total Pages | : 194 |
| Release | : 2019-07-28 |
| Genre | : |
| ISBN | : 9781081888909 |
Written by Beckenbach-Prize-winning author Seth Braver, this textbook is designed for a standard single-variable calculus class. It is distinguished by its concision, its use of infinitesimals (though limits are here, too), and the high quality of its exposition. The emphasis throughout is on deep intuition and computational facility.
| Author | : Ben Orlin |
| Publisher | : Black Dog & Leventhal |
| Total Pages | : 320 |
| Release | : 2019-10-08 |
| Genre | : Mathematics |
| ISBN | : 031650906X |
The next book from Ben Orlin, the popular math blogger and author of the underground bestseller Math With Bad Drawings. Change Is The Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and wonderfully bad drawings. Change is the Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and memorably bad drawings. By spinning 28 engaging mathematical tales, Orlin shows us that calculus is simply another language to express the very things we humans grapple with every day -- love, risk, time, and most importantly, change. Divided into two parts, "Moments" and "Eternities," and drawing on everyone from Sherlock Holmes to Mark Twain to David Foster Wallace, Change is the Only Constant unearths connections between calculus, art, literature, and a beloved dog named Elvis. This is not just math for math's sake; it's math for the sake of becoming a wiser and more thoughtful human.
