Mathematics category: 12022 books

A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions — rather than focusing strictly on historical and mathematical issues — and features several helpful appendixes.

With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument...

Many people suffer from an inferiority complex where mathematics is concerned, regarding figures and equations with a fear based on bewilderment and inexperience. This book dispels some of the subject’s alarming aspects, starting at the very beginning and assuming no mathematical education.Written...

Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential...

Everybody knows that mathematics is indispensable to physics--imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realize that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Mark Levi...

Non-Euclidean Geometry is now recognized as an important branch of Mathematics. Those who teach Geometry should have some knowledge of this subject, and all who are interested in Mathematics will find much to stimulate them and much for them to enjoy in the novel results and views that...

As a mathematician, philosopher, logician, historian, socialist, pacifist and social critic, Bertrand Russell is noted for his "revolt against idealism" in Britain in the early 20th century, as well as his pacifist activism during WWI, a campaign against Adolf Hitler and later the United States' involvement...

“In this sparkling narrative, mathematics is indeed set free.” -Michael Shermer, author of The Believing Brain In classrooms around the world, Robert and Ellen Kaplan's pioneering Math Circle program, begun at Harvard, has introduced students ages six to sixty to the pleasures of mathematics,...

Science is about the mundane, visible world. Religion is about the transcendent, invisible world. Atheists believe that science is the only way to explain the world. Agnostics think it’s the best way. But is science actually a system of explanation at all, or merely a good problem-solving tool and...

An Elementary Treatise On Fourier's Series (Differential Calculus) and Spherical, Cylindrical, and Ellipsoidal Harmonics, With Applications To Problems In Mathematical Physics. By William Elwood Byerly, Ph.D., Professor Of Mathematics In Harvard University ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~...

Why should mathematics, the purest of sciences, have a history? Medieval mathematicians took little interest in the history of their discipline. Yet in the Renaissance the history of mathematics flourished. This book explores how Renaissance scholars recovered and reconstructed the origins of mathematics...

A Concrete Introduction to Analysis, Second Edition offers a major reorganization of the previous edition with the goal of making it a much more comprehensive and accessible for students. The standard, austere approach to teaching modern mathematics with its emphasis on formal proofs can be...

WHO IS MR.W? Dennis Irwin Weichman (MR. W) holds a Bachelors degree and Masters degree in mathematics from the University of Western Ontario.  His series of Math Study Guides capture his teaching methodology best practices from 30 years as a high school teacher and 20 years as a private math...

WHO IS MR.W? Dennis Irwin Weichman (MR. W) holds a Bachelors degree and Masters degree in mathematics from the University of Western Ontario.  His series of Math Study Guides capture his teaching methodology best practices from 30 years as a high school teacher and 20 years as a private math...