Unknown Quantity: A Real and Imaginary History of Algebra


John Derbyshire - 2006
    As he did so masterfully in Prime Obsession, Derbyshire brings the evolution of mathematical thinking to dramatic life by focusing on the key historical players. Unknown Quantity begins in the time of Abraham and Isaac and moves from Abel's proof to the higher levels of abstraction developed by Galois through modern-day advances. Derbyshire explains how a simple turn of thought from this plus this equals this to this plus what equals this? gave birth to a whole new way of perceiving the world. With a historian's narrative authority and a beloved teacher's clarity and passion, Derbyshire leads readers on an intellectually satisfying and pleasantly challenging historical and mathematical journey.

E=mc²: A Biography of the World's Most Famous Equation


David Bodanis - 2000
    Just about everyone has at least heard of Albert Einstein's formulation of 1905, which came into the world as something of an afterthought. But far fewer can explain his insightful linkage of energy to mass. David Bodanis offers an easily grasped gloss on the equation. Mass, he writes, "is simply the ultimate type of condensed or concentrated energy," whereas energy "is what billows out as an alternate form of mass under the right circumstances." Just what those circumstances are occupies much of Bodanis's book, which pays homage to Einstein and, just as important, to predecessors such as Maxwell, Faraday, and Lavoisier, who are not as well known as Einstein today. Balancing writerly energy and scholarly weight, Bodanis offers a primer in modern physics and cosmology, explaining that the universe today is an expression of mass that will, in some vastly distant future, one day slide back to the energy side of the equation, replacing the "dominion of matter" with "a great stillness"--a vision that is at once lovely and profoundly frightening. Without sliding into easy psychobiography, Bodanis explores other circumstances as well; namely, Einstein's background and character, which combined with a sterling intelligence to afford him an idiosyncratic view of the way things work--a view that would change the world. --Gregory McNamee

The R Book


Michael J. Crawley - 2007
    The R language is recognised as one of the most powerful and flexible statistical software packages, and it enables the user to apply many statistical techniques that would be impossible without such software to help implement such large data sets.

104 Number Theory Problems: From the Training of the USA IMO Team


Titu Andreescu - 2006
    Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

Student Solutions Manual for Contemporary Abstract Algebra


Joseph A. Gallian - 2009
    Contains complete worked solutions to all regular exercises and computer exercises in the text; additional test questions and their solutions; an online laboratory manual for the computer algebra system GAP, with exercises tied to the book and an instructor answer key; and links on the author's website to true/false questions, flash cards, essays, software downloads, and other abstract algebra-related materials.

Ocp Java Se 7 Programmer Study Guide


Kathy Sierra - 2012
    This complete study guide provides in-depth, up-to-date coverage of all the exam objectives, and goes a step beyond to cover the Java Developer exam (now an Oracle Certified Expert level credential).This book provides an integrated study system based on proven pedagogy--step-by-step exercises, special Exam Watch, Inside-the-Exam, and On-the-Job notes, and chapter self tests help reinforce and teach practical skills while preparing you for the exam. The CD-ROM includes MasterExam practice exam software featuring more than 100 questions that appear only on the CD, and a searchable e-book."OCP Java SE 7 Programmer Study Guide" Covers all new OCP Java SE 7 Programmer exam objectives Written by the co-developers of the original SCJP exam Filled with accurate test questions that simulate the type and style of questions found on the live exam Contains two complete practice exams--250+ challenging practice exam questions in book and on CD All practice questions include answer explanations for both the correct and incorrect options

Understanding Thermodynamics


Hendrick C. Van Ness - 1983
    Language is informal, examples are vivid and lively, and the perspectivie is fresh. Based on lectures delivered to engineering students, this work will also be valued by scientists, engineers, technicians, businessmen, anyone facing energy challenges of the future.

Maths on the Back of an Envelope: Clever ways to (roughly) calculate anything


Rob Eastaway - 2019
    Packed with amusing anecdotes, quizzes, and handy calculation tips for every situation, Maths on the Back of an Envelope is an invaluable introduction to the art of estimation, and a welcome reminder that sometimes our own brain is the best tool we have to deal with numbers.

Schaum's Outline of Differential Equations


Richard Bronson - 2006
    Thoroughly updated, this edition offers new, faster techniques for solving differential equations generated by the emergence of high-speed computers.

Ordinary Differential Equations


Morris Tenenbaum - 1985
    Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

The Art of Problem Solving Vol. 2: And Beyond


Sandor Leholzky - 2003
    The Art of Problem Solving, Volume 2, is the classic problem solving textbook used by many successful high school math teams and enrichment programs and have been an important building block for students who, like the authors, performed well enough on the American Mathematics Contest series to qualify for the Math Olympiad Summer Program which trains students for the United States International Math Olympiad team.Volume 2 is appropriate for students who have mastered the problem solving fundamentals presented in Volume 1 and are ready for a greater challenge. Although the Art of Problem Solving is widely used by students preparing for mathematics competitions, the book is not just a collection of tricks. The emphasis on learning and understanding methods rather than memorizing formulas enables students to solve large classes of problems beyond those presented in the book.Speaking of problems, the Art of Problem Solving, Volume 2, contains over 500 examples and exercises culled from such contests as the Mandelbrot Competition, the AMC tests, and ARML. Full solutions (not just answers!) are available for all the problems in the solution manual.

Kingpin: How One Hacker Took Over the Billion-Dollar Cybercrime Underground


Kevin Poulsen - 2011
    Max 'Vision' Butler was a white-hat hacker and a celebrity throughout the programming world, even serving as a consultant to the FBI. But there was another side to Max. As the black-hat 'Iceman', he'd seen the fraudsters around him squabble, their ranks riddled with infiltrators, their methods inefficient, and in their dysfunction was the ultimate challenge: he would stage a coup and steal their ill-gotten gains from right under their noses.Through the story of Max Butler's remarkable rise, KINGPIN lays bare the workings of a silent crime wave affecting millions worldwide. It exposes vast online-fraud supermarkets stocked with credit card numbers, counterfeit cheques, hacked bank accounts and fake passports. Thanks to Kevin Poulsen's remarkable access to both cops and criminals, we step inside the quiet,desperate battle that law enforcement fights against these scammers. And learn that the boy next door may not be all he seems.

Chaos: Making a New Science


James Gleick - 1987
    From Edward Lorenz’s discovery of the Butterfly Effect, to Mitchell Feigenbaum’s calculation of a universal constant, to Benoit Mandelbrot’s concept of fractals, which created a new geometry of nature, Gleick’s engaging narrative focuses on the key figures whose genius converged to chart an innovative direction for science. In Chaos, Gleick makes the story of chaos theory not only fascinating but also accessible to beginners, and opens our eyes to a surprising new view of the universe.

Schaum's Outline of Programming with C


Byron S. Gottfried - 1989
    Includes some discussion of the Turbo C++ operating environment, as well as useful information on operators and expressions, data input and output, control sttements, functions, program structure, and arrays.

Student Solutions Manual with Study Guide for Burden/Faires' Numerical Analysis, 9th


Richard L. Burden - 2010
    The solved exercises cover all of the techniques discussed in the text, and include step-by-step instruction on working through the algorithms.