This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student.The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs, to end with short compositions. These may represent the introduction of a concept, the abstract of a presentation or the proof of...

Why do so many Americans reject the modern theory of evolution? Why does creationism, thoroughly refuted by scientists, retain such popularity among the public? Is the perceived conflict between evolution and Christianity genuine, or is it merely an illusion peculiar to Protestant fundamentalism? Seeking answers to these questions, mathematician Jason Rosenhouse became a regular attendee at creationist conferences and other gatherings. After ten years of attending events like the giant Cre...

We may remember their equations and discoveries from school, but do we remember who the men behind the maths were? From the theories of Pythagoras (and did you know he ran a secret brotherhood that studied maths, music and gymnastics?) to coining the term 'Googol', "Fom 0 to Infinity in 26 Centuries: The Extraordinary Story of Maths" is packed full of fascinating stories and amazing facts from ancient times to the modern day.

If you understand basic mathematics and know how to program with Python, you’re ready to dive into signal processing. While most resources start with theory to teach this complex subject, this practical book introduces techniques by showing you how they’re applied in the real world. In the first chapter alone, you’ll be able to decompose a sound into its harmonics, modify the harmonics, and generate new sounds.Author Allen Downey explains techniques such as spectral decomposition, ...

Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

Since 1909, when my Differential Geometry of Curves and Surfaces was published, the tensor calculus, which had previously been invented by Ricci, was adopted by Einstein in his General Theory of Relativity, and has been developed further in the study of Riemannian Geometry and various generalizations of the latter. In the present book the tensor calculus of cuclidean 3-space is developed and then generalized so as to apply to a Riemannian space of any number of dimensions. The tensor calcu...

This book is the result of a unique experience: a research mathematician teaching in an elementary school. It tells about a fascinating discovery made by the author — that elementary mathematics has a lot of depth and beauty, and that the secret to its teaching is in understanding its deep points.The first part of the book discusses the nature of mathematics and its beauty. The second part tells about the teaching principles the author distilled from his experience. The third part is an ex...

Solve your math troubles with DeMYSTiFieDIf you cannot tell the difference between your Roman and Arabic numerals, or if when someone asks 'what is pi' you say "delicious," you need Everyday Math DeMYSTiFieD, Second Edition, to unravel these fundamental concepts and theories at your own pace.This practical guide eases you into basic math, starting with counting and simple operations. As you progress, you will master essential concepts such as division, converting...

How to Draw a Straight Line: A Lecture on Linkages (Illustrated) by A. B. KEMPE, B.A.This Lecture was one of the series delivered to science teachers last summer in connection with the Loan Collection of Scientific Apparatus. I have taken the opportunity afforded by its publication to slightly enlarge it and to add several notes. For the illustrations I am indebted to my brother, Mr. H. R. Kempe, without whose able and indefatigable cooperation in drawing them and ...

Trigonometric Functions and Complex Numbers covers the followings areas in the International Mathematical Olympiad (IMO) and other mathematical competitions. The contents are essential for the IMO. A good help for students who want to improve in these areas.

"Introducing Newton" explains the extraordinary ideas of a man who sifted through the accumulated knowledge of centuries, tossed out mistaken beliefs, and single-handedly made enormous advances in mathematics, mechanics and optics. By the age of 25, entirely self-taught, he had sketched out a system of the world. Einstein's theories are unthinkable without Newton's founding system. He was also a secret heretic, a mystic and an alchemist, the man of whom Edmond Halley said, 'Nearer to the g...

Statistical Models and Methods for Reliability and Survival Analysis brings together contributions by specialists in statistical theory as they discuss their applications providing up-to-date developments in methods used in survival analysis, statistical goodness of fit, stochastic processes for system reliability, amongst others. Many of these are related to the work of Professor M. Nikulin in statistics over the past 30 years. The authors gather together various contributions wi...