Linear Algebra With Applications


Steven J. Leon - 1980
    Each chapter contains integrated worked examples and chapter tests. This edition has the ancillary ATLAST computer exercise guide and new MATLAB and Maple guides.

A Shorter Summa: The Essential Philosophical Passages of St. Thomas Aquinas' Summa Theologica Edited and Explained for Beginners


Peter Kreeft
    The reason for the double shortening is pretty obvious: the original runs some 4000 pages! (The Summa of the Summa was just over 500.) The Summa is certainly the greatest, most ambitious, most rational book of theology ever written. In it, there is also much philosophy, which is selected, excerpted, arranged, introduced, and explained in footnotes here by Kreeft, a popular Thomist teacher and writer. St. Thomas Aquinas is universally recognized as one of the greatest philosophers who ever lived. His writings combine the two fundamental ideals of philosophical writing: clarity and profundity. He is a master of metaphysics and technical terminology, yet so full of both theoretical and practical wisdom. He is the master of common sense. The Summa Theologica is timeless, but particularly important today because of his synthesis of faith and reason, revelation and philosophy, and the Biblical and the classical Greco-Roman heritages. This little book is designed for beginners, either for classroom use or individually. It contains the most famous and influential passages of St. Thomas' philosophy with copious aids to understanding them.

The Little Book of Mathematical Principles, Theories, & Things


Robert Solomon - 2008
    Rare Book

The Art of Mathematics


Jerry P. King - 1992
    Jerry King is no exception. His informal, nontechnical book, as its title implies, is organized around what Bertrand Russell called the 'supreme beauty' of mathematics--a beauty 'capable of a stern perfection such as only the greatest art can show.'NATUREIn this clear, concise, and superbly written volume, mathematics professor and poet Jerry P. King reveals the beauty that is at the heart of mathematics--and he makes that beauty accessible to all readers. Darting wittily from Euclid to Yeats, from Poincare to Rembrandt, from axioms to symphonies, THE ART OF MATHEMATICS explores the difference between real, rational, and complex numbers; analyzes the intellectual underpinnings of pure and applied mathematics; and reveals the fundamental connection between aesthetics and mathematics. King also sheds light on how mathematicians pursue their research and how our educational system perpetuates the damaging divisions between the two cultures.

Pythagoras: His Lives And The Legacy Of A Rational Universe


Kitty Ferguson - 2010
    Einstein said that the most incredible thing about our universe was that it was comprehensible at all. As Kitty Ferguson explains, Pythagoras had much the same idea - but 2,500 years earlier. Though known by many only for his famous Theorem, in fact the pillars of our scientific tradition - belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos - hark back to the convictions of this legendary scholar. Kitty Ferguson brilliantly evokes Pythagoras' ancient world of, showing how ideas spread in antiquity, and chronicles the incredible influence he and his followers have had on so many extraordinary people in the history of Western thought and science. 'Pythagoras' influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him' - Arthur Koestler.

Probability, Statistics And Random Processes


T. Veerarajan - 2008
    

Schaum's Outline of Calculus


Frank Ayres Jr. - 1990
    They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide--more than 104,000 copies were bought of the prior edition--includes problems and examples using graphing calculators..

Outnumbered: Exploring the Algorithms That Control Our Lives


David Sumpter - 2018
    Using the data they are constantly collecting about where we travel, where we shop, what we buy, and what interests us, they can begin to predict our daily habits, and increasingly we are relinquishing our decision-making to algorithms. Are we giving this up too easily?Without understanding what mathematics can and can't do it is impossible to get a handle on how it is changing our lives. Outnumbered is a journey to the dark side of mathematics, from how it dictates our social media activities to our travel routes. David Sumpter investigates whether mathematics is crossing dangerous lines when it comes to what we can make decisions about.This book will show how math impacts all parts of our lives: from the algorithms that decide whom we interact with to the statistical methods that categorize us as potential criminals. It tests financial algorithms that purport to generate money from nothing, and reveals that we are constantly manipulated by the math used by others, from algorithms choosing the news we hear to automated hospital waiting lists deciding whether we receive treatment.Using interviews with those people working at the cutting edge of mathematical and data research, Outnumbered will explain how math and stats work in the real world, and what we should and shouldn't worry about.

How to Lie with Statistics


Darrell Huff - 1954
    Darrell Huff runs the gamut of every popularly used type of statistic, probes such things as the sample study, the tabulation method, the interview technique, or the way the results are derived from the figures, and points up the countless number of dodges which are used to fool rather than to inform.

A Brief History of Mathematical Thought: Key concepts and where they come from


Luke Heaton - 2015
    In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story. The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations. In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.

How to Build a Brain and 34 Other Really Interesting Uses of Maths


Richard Elwes - 2010
    You'll find out how to unknot your DNA, how to count like a supercomputer and how to become famous for solving mathematics' most challenging problem.

The Order of Things: An Archaeology of the Human Sciences


Michel Foucault - 1966
    The result is nothing less than an archaeology of the sciences that unearths old patterns of meaning and reveals the shocking arbitrariness of our received truths.In the work that established him as the most important French thinker since Sartre, Michel Foucault offers startling evidence that “man”—man as a subject of scientific knowledge—is at best a recent invention, the result of a fundamental mutation in our culture.

Logic: An Introduction to Elementary Logic


Wilfrid Hodges - 1980
    From this starting point, and assuming no previous knowledge of logic, Wilfrid Hodges takes the reader through the whole gamut of logical expressions in a simple and lively way. Readers who are more mathematically adventurous will find optional sections introducing rather more challenging material. 'A lively and stimulating book' Philosophy

Thinking Strategically: The Competitive Edge in Business, Politics, and Everyday Life


Avinash K. Dixit - 1991
    This entertaining guide builds on scores of case studies taken from business, sports, the movies, politics, and gambling. It outlines the basics of good strategy making and then shows how you can apply them in any area of your life.

Rousseau in 90 Minutes


Paul Strathern - 2002
    Powers, Boston Globe. "Well-written, clear and informed, they have a breezy wit about them....I find them hard to stop reading."--Richard Bernstein, New York Times. "Witty, illuminating, and blessedly concise."--Jim Holt, Wall Street Journal. These brief and enlightening explorations of our greatest thinkers bring their ideas to life in entertaining and accessible fashion. Philosophical thought is deciphered and made comprehensive and interesting to almost everyone. Far from being a novelty, each book is a highly refined appraisal of the philosopher and his work, authoritative and clearly presented.