By Lennart Berggren; Jonathan Borwein; Peter Borwein
From the contents: Preface.- Acknowledgements.- Introduction.- The Rhind Mathematical Papyrus-Problem 50.- Engles. Quadrature of the Circle in historic Egypt.- Archimedes. dimension of a Circle.- Phillips. Archimedes the Numerical Analyst.- Lam & Ang. Circle Measurements in old China.- The Banu Musa: The dimension of aircraft and good Figures.- Madhava's. the facility sequence for Arctan and Pi.- Hope-Jones. Ludolph van Ceulen.- Viete. Variorum de Revus Mathematicis Reponsorum Liber VII.- Wallis. Computation of Pi by way of Successive Interpolations.- Wallis. Arithmetica Infinitorum.- Huygens. De Circuli Magnitudine Inventa.- Gregory. Correspondence with John Collins.- Jones. the 1st Use of Pi for the Circle Ratio.- Newton. Of the strategy of Fluxions and countless Series.- Euler. bankruptcy 10 of creation to research of the Infinite.- Lambert. Memoire Sur Quelques Proprietes Remarquables Des Quantites Transcendentes Circulaires et Logarithmiques.- Lambert. Irrationality of Pi.- Shanks. Contributions to arithmetic Comprising mainly of the Rectification of the Circle to 607 areas of Decimals.- Hermite. Sur l. a. Fonction Exponentielle.- and masses extra
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Additional info for Pi : a source book
Network Programming and Python This book will focus on writing programs for networks that use the Internet protocol suite. Why have we chosen to do this? Well, of the sets of protocols supported by the Python standard library, the TCP/IP protocol is by far the most widely employable. It contains the principle protocols used by the Internet. By learning to program for TCP/IP, you'll be learning how to potentially communicate with just about every device that is connected to this great tangle of network cables and electromagnetic waves.
We'll also be taking a look at a couple of general issues that we may encounter, when writing applications that communicate over TCP/IP networks. An introduction to TCP/IP networks The Internet protocol suite, often referred to as TCP/IP, is a set of protocols designed to work together to provide end-to-end transmission of messages across interconnected networks. The following discussion is based on Internet Protocol version 4 (IPv4). Since the Internet has run out of IPv4 addresses, a new version, IPv6, has been developed, which is intended to resolve this situation.
255 You may be thinking that if anybody can use them, then would'nt that mean that devices on the Internet will end up using the same addresses, thereby breaking IP's unique addressing property? This is a good question, and this problem has been avoided by forbidding traffic from private addresses from being routed over the public Internet. Wherever a network using private addresses needs to communicate with the public Internet, a technique called Network Address Translation (NAT) is used, which essentially makes the traffic from the private network appear to be coming from a single valid public Internet address, and this effectively hides the private addresses from the Internet.
Pi : a source book by Lennart Berggren; Jonathan Borwein; Peter Borwein