Book picks similar to
Mathematical Logic by Alan Turing
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alan-turing
logic
Kissinger: A Biography Part 1 Of 2
Walter Isaacson
It draws on extensive interviews with Kissinger, as well as 150 other sources, including Richard Nixon and Gerald Ford. In addition, it makes use of many of Kissinger's private papers. The result is an intimate narrative, filled with surprising revelations, that takes this century's most colorful statesman from his childhood as a persecuted Jew in Nazi Germany, through his tortured relationship with Richard Nixon, to his twilight years as a globe-trotting business consultant.
The Best of Times: Math Strategies that Multiply
Greg Tang - 2002
In simple rhymes, Tang explains the fundamentals of how each number from 1 to 10 works. His poem "Four Eyes," for example, explains how any number multiplied by four can be merely doubled twice: "Four is very fast to do, when you multiply by 2. Here's a little good advice -- please just always double twice!" He then goes on to explain: "What is 4x4? It's 4 doubled twice. Double once: 4+4=8. Double twice: 8+8=16," and he even provides extra challenge questions below. All of his poems and problems are just as easy (e.g., a number times 6 is tripled, then doubled; a number times 9 is multiplied by 10, then subtracted once), and the book is rounded out with full practice tables in the back.Tang provides children with an excellent lesson, helping them make sense of daunting math without a bombardment of complicated rules. Kids will cheer his winsome presentation, which is wonderfully complemented by Harry Brigg's computer illustrations of animals cavorting around and having fun. Both practical and pleasing, The Best of Times is math that'll help make homework and tests a breeze. Matt Warner
Fantasia Mathematica
Clifton Fadiman - 1958
Ranging from the poignant to the comical via the simply surreal, these selections include writing by Aldous Huxley, Martin Gardner, H.G. Wells, George Gamow, G.H. Hardy, Robert Heinlein, Arthur C. Clarke, and many others. Humorous, mysterious, and always entertaining, this collection is sure to bring a smile to the faces of mathematicians and non-mathematicians alike.
Painless Algebra
Lynette Long - 1998
The author defines all terms, points out potential pitfalls in algebraic calculation, and makes problem solving a fun activity. New in this edition are painless approaches to understanding and graphing linear equations, solving systems of linear inequalities, and graphing quadratic equations. Barron’s popular Painless Series of study guides for middle school and high school students offer a lighthearted, often humorous approach to their subjects, transforming details that might once have seemed boring or difficult into a series of interesting and mentally challenging ideas. Most titles in the series feature many fun-to-solve “Brain Tickler” problems with answers at the end of each chapter.
Number Theory
George E. Andrews - 1994
In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems.Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory.Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated..
HOW THE 1 PERCENT PROVIDES THE STANDARD OF LIVING OF THE 99 PERCENT
George Reisman - 2015
As they see matters, wealth in the form of means of production and wealth in the form of consumers’ goods are essentially indistinguishable. For all practical purposes, they have no awareness of the existence of capital and of its importance. Thus, capitalists are generally depicted as fat men, whose girth allegedly signifies an excessive consumption of food and of wealth in general, while their alleged victims, the wage earners, are typically depicted as substantially underweight, allegedly signifying their inability to consume, thanks to the allegedly starvation wages paid by the capitalists.The truth is that in a capitalist economic system, the wealth of the capitalists is not only overwhelmingly in the form of means of production, such as factory buildings, machinery, farms, mines, stores, warehouses, and means of transportation and communication, but all of this wealth is employed in producing for the market, where its benefit is made available to everyone in the economic system who is able to afford to buy its products.Consider. Whoever can afford to buy an automobile benefits from the existence of the automobile factory and its equipment where that car was made. He also benefits from the existence of all the other automobile factories, whose existence and competition served to reduce the price he had to pay for his automobile. He benefits from the existence of the steel mill that provided the steel for his car, and from the iron mine that provided the iron ore needed for the production of that steel, and, of course, from the existence of all the other steel mills and iron mines whose existence and competition served to hold down the prices of the steel and iron ore that contributed to the production of his car.And, thanks to the great magnitude of wealth employed as capital, the demand for labor, of which capital is the foundation, is great enough and thus wages are high enough that virtually everyone is able to afford to a substantial degree most of the products of the economic system. For the capital of the capitalists is the foundation both of the supply of products that everyone buys and of the demand for the labor that all wage earners sell. More capital—a greater amount of wealth in the possession of the capitalists—means a both a larger and better supply of products for wage earners to buy and a greater demand for the labor that wage earners sell. Everyone, wage earners and capitalists alike, benefits from the wealth of the capitalists, because, as I say, that wealth is the foundation of the supply of the products that everyone buys and of the demand for the labor that all wage earners sell. More capital in the hands of the capitalists always means a more abundant, better quality of goods and services offered for sale and a larger demand for labor. The further effect is lower prices and higher wages, and thus a higher standard of living for wage earners.Furthermore, the combination of the profit motive and competition operates continually to improve the products offered in the market and the efficiency with which they are produced, thus steadily further improving the standard of living of everyone.In the alleged conflict between the so-called 99 percent and the so-called 1 percent, the program of the 99 percent is to seize as far as possible the wealth of the 1 percent and consume it. To the extent that it is enacted, the effect of this program can only be to impoverish everyone, and the 99 percent to a far greater extent than the 1 percent. To the extent that the 1 percent loses its mansions, luxury cars, and champagne and caviar, 99 times as many people lose their houses, run-of-the mill cars, and steak and hamburger.
Calculus [with CD]
Howard Anton - 1992
New co-authors--Irl Bivens and Stephen Davis--from Davidson College; both distinguished educators and writers.* More emphasis on graphing calculators in exercises and examples, including CAS capabilities of graphing calculators.* More problems using tabular data and more emphasis on mathematical modeling.
The Joy of Mathematics: Discovering Mathematics All Around You
Theoni Pappas - 1986
Written by the well-known mathematics teacher consultant, this volume's collection of over 200 clearly illustrated mathematical ideas, concepts, puzzles, and games shows where they turn up in the real world. You'll find out what a googol is, visit hotel infinity, read a thorny logic problem that was stumping them back in the 8th century.THE JOY OF MATHEMATICS is designed to be opened at random...it's mini essays are self-contained providing the reader with an enjoyable way to explore and experience mathematics at its best.
Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences
Ernest F. Haeussler Jr. - 1987
Emphasis on developing algebraic skills is extended to the exercises--including both drill problems and applications. The authors work through examples and explanations with a blend of rigor and accessibility. In addition, they have refined the flow, transitions, organization, and portioning of the content over many editions to optimize learning for readers. The table of contents covers a wide range of topics efficiently, enabling readers to gain a diverse understanding.
Arithmetic
Paul Lockhart - 2017
But from the perspective of mathematics, groupings of ten are arbitrary, and can have serious shortcomings. Twelve would be better for divisibility, and eight is smaller and well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages.Paul Lockhart reveals arithmetic not as the rote manipulation of numbers--a practical if mundane branch of knowledge best suited for balancing a checkbook or filling out tax forms--but as a set of ideas that exhibit the fascinating and sometimes surprising behaviors usually reserved for higher branches of mathematics. The essence of arithmetic is the skillful arrangement of numerical information for ease of communication and comparison, an elegant intellectual craft that arises from our desire to count, add to, take away from, divide up, and multiply quantities of important things. Over centuries, humans devised a variety of strategies for representing and using numerical information, from beads and tally marks to adding machines and computers. Lockhart explores the philosophical and aesthetic nature of counting and of different number systems, both Western and non-Western, weighing the pluses and minuses of each.A passionate, entertaining survey of foundational ideas and methods, Arithmetic invites readers to experience the profound and simple beauty of its subject through the eyes of a modern research mathematician.
Algebra
Israel M. Gelfand - 1992
This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.
Mathematical Analysis
Tom M. Apostol - 1957
It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.
Secret Hollywood: Crazy and Interesting Stories about the Rich and Famous
Bill O'Neill - 2021
Grab your copy of Secret Hollywood and start gossiping!