Why Pi?


Book Description

Discover how maths applies to everything with Johnny Ball Join Johnny Ball as he shows your child that maths isn't just numbers and sums, it's a fundamental, incredible, magical way to find out how everything works. From Pi, the amazing number that's vital for so much of everyday life, to perfect proportions - did you know Leonardo da Vinci worked out a person's ear is one-third the length of their face? - discover how numbers, from ancient times to the modern day, have enabled us to explore, build and discover just about everything. With puzzles to solve, conundrums to crack and incredible tricks to show to friends, Johnny Ball will teach your child to become a mathmagician!







A History of Pi


Book Description

Traces the history of the mathematical constant pi from the stone age through the computer age, discussing the background of the times when pi progressed, and when it did not.







Happy Pi Day to You!


Book Description

Join the Cat in the Hat as he explains how to measure circles and calculate pi in this perfect choice for Pi Day celebrations and nurturing a love of math and numbers! The Cat in the Hat makes calculating pi—one of the most fascinating numbers in mathematics—as easy as pie! Using a piece of string and two sticks, the Cat first shows beginning readers how to draw a perfect circle. Then, using a can and a piece of ribbon, he shows how to measure a circle's circumference and diameter, and to use those measurements to calculate pi. Also included is information about the history of measurement and famous Pi Pioneers! Written in simple rhyme, Happy Pi Day is a natural choice for celebrating Pi Day (held annually on March 14), and for nurturing a child's interest in math. Fans of the hit PBS show The Cat in the Hat Knows a Lot About That! will be delighted at this new addition to the Learning Library series.







Continuous Quantum Measurements and Path Integrals


Book Description

Advances in technology are taking the accuracy of macroscopic as well as microscopic measurements close to the quantum limit, for example, in the attempts to detect gravitational waves. Interest in continuous quantum measurements has therefore grown considerably in recent years. Continuous Quantum Measurements and Path Integrals examines these measurements using Feynman path integrals. The path integral theory is developed to provide formulae for concrete physical effects. The main conclusion drawn from the theory is that an uncertainty principle exists for processes, in addition to the familiar one for states. This implies that a continuous measurement has an optimal accuracy-a balance between inefficient error and large quantum fluctuations (quantum noise). A well-known expert in the field, the author concentrates on the physical and conceptual side of the subject rather than the mathematical.




Measurement of the [pi]−p $Yields$ [pi]°n and [pi]−p $Yields$ Eta N Differential Cross Sections at Beam Momenta from 20 to 200 GeV/c


Book Description

The results of a measurement of the [pi]−p $Yields$ [pi]°n and [pi]−p $Yields$ eta n differential cross sections at six pion beam momenta from 20 to 200 GeV/c are presented. The data for these cross sections were collected at the Fermi National Accelerator Laboratory in Batavia, Illinois. A 73.5 x 73.5 cm lead--scintillator hodoscope was used to detect the two photons from the decay of the $pi$° and the eta; all other reactions were eliminated by detection of their charged particles and additional photons in an array of veto counters. The zero-degree charge exchange cross sections determined from these measurements are shown to be consistent with the measured $pi$$sup +$p and $pi$−p total cross section differences. Effective Regge trajectories for the rho and the A2 also extracted from the data. 34 figures, 9 tables. (auth).