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Provides the fundamentals, technologies, and best practices in designing, constructing and managing mission critical, energy efficient data centers.

This is a free book about how to prove theorems. It is organized into four parts: Fundamentals, proving conditional statements, more on proof, relations, functions and cardinality.

Where Wizards Stay Up Late tells the story of the development of DARPANET, which later became the Internet. The DARPA was established under the DoD when Sputnik had stunned the US in 1958. These inside stories tell how the development was initiated, funded, and guided by the visible hand of the US government, the monstrous military-industrial complex, and the universities. It also articulated lots of technical details and strenuous efforts to solve problems of connecting far-flung, disparate computers into a working network. It is a vivid example of invention requiring dedication, teamwork and individual intelligence, on par with Manhattan Project and NASA.

Readers interested in Computer History should not skip this book of Herman Goldstine. It is full of fascinating details and praise for people who contributed to the innovations and developments in the area of computer technology. Goldstine, a fine scientist and technology manager in his field starts with historic contributions of Wilhelm Schickard, Blaise Pascal and Gottfried Wilhelm Leibniz, then he explains the contributions of scientists and early computer technology experts in the 19th century, e.g. Maxwell and Boole, Charles Babbage combined with critical remarks about his performance, analog computing instruments - forerunners of digital computers - etc. etc. In chapter 8 he explains the fruitful cooperation of Herman Hollerith with Dr. Billings to automate the USA census in 1890, the beginning of Hollerith's success with his Tabulating Machine Company (TMC) which was merged into Computing Tabulating Recording Corporation on June 16th, 1911, the forerunner of IBM under the leadership of Thomas Watson Sr. Chapter 10 is dedicated to Bush's Differential Analyzer and Other Analog Devices. In Part Two we read about the very important Wartime Developments: ENIAC and EDVAC when John von Neumann contributed significantly to the development of the EDVAC by Eckert and Mauchly. In Part Three Goldstine describes "The von Neumann Machine" and the development work at the Institute for Advanced Study and "The Early Industrial Scene" with focus on UNIVAC, IBM, Burroughs, etc. He emphasizes "In my opinion it was Thomas Watson, Jr. who played the key role in moving IBM into the electronic computer field." Despite the fact that there are excellent books available describing the time "Before the Computer" by Cortada, and the Computer History by Ceruzzi, Campbell-Kelly and Aspray, Alfred D. Chandler, Emerson Pugh etc. etc. it his highly recommendable to study this work of the computer expert Goldstine who provides an authoritative insight into the field of computer developm

This is the English translation of the first volume of the three-volume-series of Felix Klein's “Elementar-mathematik vom höheren Standpunkte aus" published in 1932. Two serious mistakes of this translation pinpointed in the preface to the 2016 translation: 1. the misleading translation of the term “höher” in that English translation of the 1930's... The term higher is not only a more literal translation of höheren than advanced is, but it also captures better the image Klein had for his work. Advanced can mean higher, but its connotation is more like ‘more developed’ or ‘further along in space and time’. Klein wanted to emphasize that his courses would give prospective teachers a better, more panoramic view of the landscape of mathematics. As noted above, he wanted those teachers to ‘stand above’ their subject. 2. At too many places, the text gives not the intended meaning, but rather erroneous and misleading translations, in particular with regard to mathematics, not only with regard to the general style.

Published in 1960. Standard textbook for A level Pure Mathematics in 1960s - 1980s. For students reading Mathematics, either as part of a general degree or as an ancilliary course for an Honours degree, the subject should be presented in as straightforward a manners as is consistent with a moderate standard of rigour. This course in algebra, co-ordinate geometry and calculus is designed to fulfil these requirements for students at Universities, Polytechnics and Colleges of Technology. The book contains 350 worked examples and 1550 practice examples selected mainly from university examination papers. The practice examples have been carefully graded and some hints are given with the answers so that the book may be used for private study as well as for class work.

Downloaded from archive.org. Here is the classic, much-read introduction to the craft and history of mathematics by E.T. Bell, a leading figure in mathematics in America for half a century. Men of Mathematics accessibly explains the major mathematics, from the geometry of the Greeks through Newton's calculus and on to the laws of probability, symbolic logic, and the fourth dimension. In addition, the book goes beyond pure mathematics to present a series of engrossing biographies of the great mathematicians -- an extraordinary number of whom lived bizarre or unusual lives. Finally, Men of Mathematics is also a history of ideas, tracing the majestic development of mathematical thought from ancient times to the twentieth century. This enduring work's clear, often humorous way of dealing with complex ideas makes it an ideal book for the non-mathematician.

Downloaded from archive.org. It is a science book for the lay reader, by Albert Einstein and Leopold Infeld, tracing the development of ideas in physics. Albert Einstein pushed his realist approach to physics in defiance of much of quantum mechanics. Belief in an “objective reality,” the book argued, had led to great scientific advances throughout the ages, thus proving that it was a useful concept even if not provable. “Without the belief that it is possible to grasp reality with our theoretical constructions, without the belief in the inner harmony of our world, there could be no science,” the book declared. "This belief is and always will remain the fundamental motive for all scientific creation.” In addition, Einstein used the text to defend the utility of field theories amid the advances of quantum mechanics. The best way to do that was to view particles not as independent objects but as a special manifestation of the field itself: "Could we not reject the concept of matter and build a pure field physics? We could regard matter as the regions in space where the field is extremely strong. A thrown stone is, from this point of view, a changing field in which the states of the greatest field intensity travel through space with the velocity of the stone."

The breathtakingly rapid pace of change in computing makes it easy to overlook the pioneers who began it all. Written by Martin Davis, respected logician and researcher in the theory of computation, The Universal Computer: The Road from Leibniz to Turing explores the fascinating lives, ideas, and discoveries of seven remarkable mathematicians. It tells the stories of the unsung heroes of the computer age – the logicians. The story begins with Leibniz in the 17th century and then focuses on Boole, Frege, Cantor, Hilbert, and Gödel, before turning to Turing. Turing's analysis of algorithmic processes led to a single, all-purpose machine that could be programmed to carry out such processes—the computer. Davis describes how this incredible group, with lives as extraordinary as their accomplishments, grappled with logical reasoning and its mechanization. By investigating their achievements and failures, he shows how these pioneers paved the way for modern computing.

This book is a new edition of International AS and A Level Physics that has been revised and amended to be compatible with the Physics syllabus 9702 of Cambridge International Examinations, published in 2014 for first examination in 2016.

comment copied from amazon 2001: I brought this book ( volume 2 also as well ) because of its " fame ", but when I read it, it has several draw backs. First, may be the original version is in German, so even with good translation, it seem does not fit in the usual English style we get used to. Also the topics it choose is too few and also the area covered is too narrow and not well co-ordinated. For example, the whole volume I is almost dedicated to Calculus of variation only. In volume 2, the whole book is dedicated to differential equations. But that is not the greatest drawback. The most bad point is that the book just presents formulae after formulae, equations after equations, without giving examples of how to use it, and also no exercise for me to practice.

这是德文原著的1936英文版第二版。后来在1974 再有Courant and Fritz John Introduction to Calculus and Analysis Volume Two 的英文版(1989 reprint)

2nd edition translated by McShane, E. J. 这是柯朗原来德文原著的1937的英文版，与1989 Courant and Fritz John 版 (Introduction to Calculus and Analysis Volume One) 不同之处是这个带答案的。

The origins of Cauchy's rigorous calculus by Grabiner, Judith V. Publication date 1981. Freely available at https://archive.org/details/originsofcauchys00judi

This paper recounts the history of how calculus came to get a rigorous basis in terms of the algebra of inequalities. The result is a brief history of the 150 years from Newton/Leibniz to Cauchy that produced the foundations of analysis.

a short book developed from a 25-page article published in 2002, arguing for an aesthetic, intuitive and heuristic approach to teaching and the importance of mathematics teaching reforms. The book frames learning mathematics as an artistic and imaginative pursuit which is not reflected at all in the way the subject is taught in the American educational system.

Carl B. Boyer The History of the Calculus and its Conceptual Development Dover Publications Inc. 1949 from https://archive.org/details/TheHistoryOfTheCalculusAndItsConceptualDevelopment

Free online textbook from https://www.math.wisc.edu/~keisler/calc.html