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.

Einstein's Heroes: Imagining the World Through the Language of Mathematics


Robyn Arianrhod - 2004
    Einstein's Heroes takes you on a journey of discovery about just such a miraculous language--the language of mathematics--one of humanity's mostamazing accomplishments. Blending science, history, and biography, this remarkable book reveals the mysteries of mathematics, focusing on the life and work of three of Albert Einstein's heroes: Isaac Newton, Michael Faraday, and especially James Clerk Maxwell, whose work directly inspired the theory of relativity. RobynArianrhod bridges the gap between science and literature, portraying mathematics as a language and arguing that a physical theory is a work of imagination involving the elegant and clever use of this language. The heart of the book illuminates how Maxwell, using the language of mathematics in a newand radical way, resolved the seemingly insoluble controversy between Faraday's idea of lines of force and Newton's theory of action-at-a-distance. In so doing, Maxwell not only produced the first complete mathematical description of electromagnetism, but actually predicted the existence of theradio wave, teasing it out of the mathematical language itself. Here then is a fascinating look at mathematics: its colorful characters, its historical intrigues, and above all its role as the uncannily accurate language of nature.

Moral Calculations: Game Theory, Logic, and Human Frailty


Mérő László - 1998
    This ideal guide shows us how mathematics can illuminate the human condition.

Engineering Mathematics


K.A. Stroud - 2001
    Fully revised to meet the needs of the wide range of students beginning engineering courses, this edition has an extended Foundation section including new chapters on graphs, trigonometry, binomial series and functions and a CD-ROM

Elliptic Tales: Curves, Counting, and Number Theory


Avner Ash - 2012
    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

Macroeconomics: Theories and Policies


Richard T. Froyen - 1983
    Now revised and updated to include expanded coverage of monetary policy, this volume traces the history of macroeconomics and the evolution of macroeconomic thought and the resulting theory and policy.

The New York Times Book of Mathematics: More Than 100 Years of Writing by the Numbers


Gina Kolata - 2013
    Big and informative, "The New York Times Book of Mathematics" gathers more than 110 articles written from 1892 to 2010 that cover statistics, coincidences, chaos theory, famous problems, cryptography, computers, and many other topics. Edited by Pulitzer Prize finalist and senior "Times" writer Gina Kolata, and featuring renowned contributors such as James Gleick, William L. Laurence, Malcolm W. Browne, George Johnson, and John Markoff, it's a must-have for any math and science enthusiast!

Wonders Beyond Numbers: A Brief History of All Things Mathematical


Johnny Ball - 2017
    By introducing us to the major characters and leading us through many historical twists and turns, Johnny slowly unravels the tale of how humanity built up a knowledge and understanding of shapes, numbers and patterns from ancient times, a story that leads directly to the technological wonderland we live in today. As Galileo said, 'Everything in the universe is written in the language of mathematics', and Wonders Beyond Numbers is your guide to this language.Mathematics is only one part of this rich and varied tale; we meet many fascinating personalities along the way, such as a mathematician who everyone has heard of but who may not have existed; a Greek philosopher who made so many mistakes that many wanted his books destroyed; a mathematical artist who built the largest masonry dome on earth, which builders had previously declared impossible; a world-renowned painter who discovered mathematics and decided he could no longer stand the sight of a brush; and a philosopher who lost his head, but only after he had died.Enriched with tales of colourful personalities and remarkable discoveries, there is also plenty of mathematics for keen readers to get stuck into. Written in Johnny Ball's characteristically light-hearted and engaging style, this book is packed with historical insight and mathematical marvels; join Johnny and uncover the wonders found beyond the numbers.

Mind Tools: The Five Levels of Mathematical Reality


Rudy Rucker - 1987
    Reveals mathematics' great power as an alternative language for understanding things and explores such concepts as logic as a computing tool, digital versus analog processes and communication as information transmission.

The Best Motivational Speeches of All Times


Bill Gates - 2020
    Great leaders are charismatic and articulate, and they use these attributes to rally the troops.The following is a collection of the best motivational speeches, inspirational words, sure to motivate you when you need it most by the greatest leaders of our time.Authors: Bill Gates, Rick Rigsby, Denzel Washington, Jim Carrey, J. K. Rowling, Matthew McConaughey, Steve Jobs, Admiral William H. McRaven, Tony RobbinsNarrators: Bill Gates, Rick Rigsby, Denzel Washington, Jim Carrey, J. K. Rowling, Matthew McConaughey, Steve Jobs, Admiral William H. McRaven, Tony RobbinsENGLISH (UNABRIDGED)3H 57M

The Well-Spoken Thesaurus: The Most Powerful Ways to Say Everyday Words and Phrases


Tom Heehler - 2011
    The fear of mispronouncing or misusing complex words is real and leaves many of us consigned to the lower levels* of the English Language. The secret to eloquence, however, lies in simplicity—the ability to use ordinary words in extraordinary ways.The Well-Spoken Thesaurus is your guide to eloquence, replacing the ordinary with the extraordinary. While a common thesaurus provides only synonyms as mere word-for-word equivalents, The Well-Spoken Thesaurus is filled with* dynamic reinventions of standard words and phrases.*lofty word, pretentious word *know what it is to *lower reaches, lower echelons *awash in, instilled with, dense with, rich in

The Little Book of Mathematical Principles, Theories, & Things


Robert Solomon - 2008
    Rare Book

Better English


Norman Lewis - 2008
    Better English brings a down-to-earth approach to the learning of English Grammar, pronunciation and spelling and is organized around the problems that most frequently trouble the average literate person.

How to Write a Mystery: A Handbook from Mystery Writers of America


Lee Child - 2021
    Now, this handbook helps authors navigate the ever-shifting publishing landscape—from pacing, plotting, the business side of publishing, to the current demand for diversity and inclusivity across all genres, and more. Featuring essays by a new generation of bestselling experts on various elements of the craft and shorter pieces of crowd-sourced wisdom from the MWA membership as a whole, the topics covered can be categorized as follows: —Before Writing (rules; genres; setting; character; research; etc.) —While Writing (outlining; the plot; dialogue; mood; etc.) —After Writing (agents; editors; self-pub; etc.) —Other than Novels (short stories; true crime; etc.) —Other Considerations (diverse characters; legal questions; criticism) Also included is a collection of essays from MWA published authors—including Jeffery Deaver, Tess Gerritsen, and Charlaine Harris—selected by bestselling authors Lee Child and Laurie King and arranged thematically answering, “What piece of writing advice do you wish you’d had at the beginning of your career?” “Everything you wanted to know about how to plan, draft, write, revise, publish, and market a mystery” (Kirkus Reviews), this inclusive manual provides practical, current, easily digestible advice for new and established authors alike.

A Mathematical Introduction to Logic


Herbert B. Enderton - 1972
    The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets.