All the Mathematics You Missed
Author | : Thomas A. Garrity |
Publisher | : 清华大学出版社有限公司 |
Total Pages | : 380 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9787302090854 |
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Author | : Thomas A. Garrity |
Publisher | : 清华大学出版社有限公司 |
Total Pages | : 380 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9787302090854 |
Author | : Jordan Ellenberg |
Publisher | : Penguin |
Total Pages | : 482 |
Release | : 2015-05-26 |
Genre | : Mathematics |
ISBN | : 0143127535 |
“Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.
Author | : Thomas A. Garrity |
Publisher | : Cambridge University Press |
Total Pages | : 417 |
Release | : 2021-07 |
Genre | : Business & Economics |
ISBN | : 1009009192 |
Fill in any gaps in your knowledge with this overview of key topics in undergraduate mathematics, now with four new chapters.
Author | : Thomas A. Garrity |
Publisher | : American Mathematical Soc. |
Total Pages | : 363 |
Release | : 2013-02-01 |
Genre | : Mathematics |
ISBN | : 0821893963 |
Algebraic Geometry has been at the center of much of mathematics for hundreds of years. It is not an easy field to break into, despite its humble beginnings in the study of circles, ellipses, hyperbolas, and parabolas. This text consists of a series of ex
Author | : Marc Peter Deisenroth |
Publisher | : Cambridge University Press |
Total Pages | : 392 |
Release | : 2020-04-23 |
Genre | : Computers |
ISBN | : 1108569323 |
The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.
Author | : Paulo Ney de Souza |
Publisher | : Springer Science & Business Media |
Total Pages | : 614 |
Release | : 2004-01-08 |
Genre | : Mathematics |
ISBN | : 9780387204291 |
This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.
Author | : Sabine Hossenfelder |
Publisher | : Basic Books |
Total Pages | : 277 |
Release | : 2018-06-12 |
Genre | : Science |
ISBN | : 0465094260 |
In this "provocative" book (New York Times), a contrarian physicist argues that her field's modern obsession with beauty has given us wonderful math but bad science. Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.
Author | : Thomas A. Garrity |
Publisher | : Cambridge University Press |
Total Pages | : 297 |
Release | : 2015-01-19 |
Genre | : Mathematics |
ISBN | : 1107435161 |
Maxwell's equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.
Author | : David A. Sprecher |
Publisher | : Courier Corporation |
Total Pages | : 357 |
Release | : 2012-04-25 |
Genre | : Mathematics |
ISBN | : 0486153258 |
Classic text explores intermediate steps between basics of calculus and ultimate stage of mathematics — abstraction and generalization. Covers fundamental concepts, real number system, point sets, functions of a real variable, Fourier series, more. Over 500 exercises.
Author | : Matematicheskiĭ institut im. V.A. Steklova |
Publisher | : |
Total Pages | : 406 |
Release | : 1969 |
Genre | : Mathematics |
ISBN | : |