Book picks similar to
A Book of Set Theory (Dover Books on Mathematics) by Charles C. Pinter
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mathematics
set-theory
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Men of Mathematics
Eric Temple Bell - 1937
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.
Numerical Linear Algebra
Lloyd N. Trefethen - 1997
The clarity and eloquence of the presentation make it popular with teachers and students alike. The text aims to expand the reader's view of the field and to present standard material in a novel way. All of the most important topics in the field are covered with a fresh perspective, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability. Presentation is in the form of 40 lectures, which each focus on one or two central ideas. The unity between topics is emphasized throughout, with no risk of getting lost in details and technicalities. The book breaks with tradition by beginning with the QR factorization - an important and fresh idea for students, and the thread that connects most of the algorithms of numerical linear algebra.
How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics
James D. Stein - 2008
In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.
Good Math: A Geek's Guide to the Beauty of Numbers, Logic, and Computation
Mark C. Chu-Carroll - 2013
There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular “Good Math” blog, you’ll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird.Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing.If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark’s book will both entertain and enlighten you.
My Brain is Open: The Mathematical Journeys of Paul Erdős
Bruce Schechter - 1998
Hungarian-born Erdős believed that the meaning of life was to prove and conjecture. His work in the United States and all over the world has earned him the titles of the century's leading number theorist and the most prolific mathematician who ever lived. Erdős's important work has proved pivotal to the development of computer science, and his unique personality makes him an unforgettable character in the world of mathematics. Incapable of the smallest of household tasks and having no permanent home or job, he was sustained by the generosity of colleagues and by his own belief in the beauty of numbers. Witty and filled with the sort of mathematical puzzles that intrigued Erdős and continue to fascinate mathematicians today, My Brain Is Open is the story of this strange genius and a journey in his footsteps through the world of mathematics, where universal truths await discovery like hidden treasures and where brilliant proofs are poetry.
Starting Out with C++: Early Objects (Formerly Alternate Edition)
Tony Gaddis - 2005
Objects are introduced early, right after control structures and before arrays and pointers. The STL string class is used throughout. As with all Gaddis books, there is a strong emphasis on problem solving and program design, a careful step-by-step introduction of each new topic, clear and easy to read code listings, concise and practical real world examples, and an abundance of exercises in each chapter.
Real Analysis
H.L. Royden - 1963
Dealing with measure theory and Lebesque integration, this is an introductory graduate text.
Introducing Artificial Intelligence: A Graphic Guide
Henry Brighton - 2007
But can machines really think? Is the mind just a complicated computer program? Introducing Artificial Intelligence focuses on the issues behind one of science's most difficult problems.
The Hobbyist's Guide to the RTL-SDR: Really Cheap Software Defined Radio
Carl Laufer - 2014
The RTL-SDR is a super cheap software defined radio based on DVB-T TV dongles that can be found for under $20. This book is about tips and tutorials that show you how to get the most out of your RTL-SDR dongle. Some projects described in this book are also compatible with other wideband SDRs like the HackRF, Airspy and SDR Play. What's in the book Learn how to set up your RTL-SDR with various free software defined radio programs such as SDR#, HDSDR, SDR-Radio and more. Learn all the little tricks and oddities that the dongle has. A whole chapter dedicated to improving the RTL-SDR's performance. Dozens of tutorials for fun RTL-SDR based projects such as ADS-B aircraft radar, AIS boat radar, ACARS decoding, receiving NOAA and Meteor-M2 weather satellite images, listening to and following trunked radios, decoding digital voice P25/DMR signals, decoding weather balloon telemetry, receiving DAB radio, analysing GSM and listening to TETRA signals, decoding pagers, receiving various HF signals such as ham radio modes, weatherfax and DRM radio, decoding digital D-STAR voice, an introduction to GNU Radio, decoding RDS, decoding APRS, measuring filters and SWR with low cost equipment, and many many more projects! Guide to antennas, cables and adapters. This book is updated every 3-4 months to ensure information is fresh and up to date. Updates are available for free for all customers. Note: To update the book you must manually contact Kindle support and request the update. Last updated to edition 4.1 on 15 June 2015.
Discrete Mathematical Structures with Applications to Computer Science
Jean-Paul Tremblay - 1975
Introduction to Classical Mechanics: With Problems and Solutions
David Morin - 2007
It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at www.cambridge.org/9780521876223. The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.
Introduction to Solid State Physics
Charles Kittel - 1962
The author's goal from the beginning has been to write a book that is accessible to undergraduate and consistently teachable. The emphasis in the book has always been on physics rather than formal mathematics. With each new edition, the author has attempted to add important new developments in the field without sacrificing the book's accessibility and teachability.
Lateral Thinking Puzzlers
Paul Sloane - 1991
Edward de Bono coined the phrase "lateral thinking" to describe a process of thinking that is different from normal, vertical or forward thinking. Here are nearly a hundred mind-benders, from easy to fiendishly hard, that make you think laterally in order to explain the set of circumstances surrounding a seemingly inexplicable situation. 96 pages, 18 b/w illus., 5 3/8 x 8 1/4.