Armchair Algebra

Armchair Algebra

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  • Author: Michael Willers
  • Publisher: Chartwell Books
  • ISBN: 0785835954
  • Category : Mathematics
  • Languages : en
  • Pages : 181

The principles of algebra were founded by al-Khwarizmi many centuries ago, in a time when mankind had no calculators, computers, or electronic gadgets. There were no telephones and the only means of communication was by messenger on horseback and boat. Yet the usefulness of algebra in almost every walk of life involving numbers has ensured not only its survival but also its continued development right up to the present day. Armchair Algebra is a collection of problems, some with a very practical application, others designed as purely theoretical puzzles, that will offer something of interest to everyone. Each section is written in an easy-to-follow format and guides the reader progressively through this fascinating subject. Understand algebra, and all other branches of mathematics and arithmetic will suddenly open up in front of you. Armchair Algebra starts with a section of Algebra Basics, which provides topic-specific introductions to all of the basic theories and skills you’ll need for the exercises contained throughout the book. Each subsequent section consists of a combination of exercises, profiles, and background information on a range of fascinating subjects.


The Empire of Chance

The Empire of Chance

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  • Author: Gerd Gigerenzer
  • Publisher: Cambridge University Press
  • ISBN: 1107393000
  • Category : Political Science
  • Languages : en
  • Pages :

The Empire of Chance tells how quantitative ideas of chance transformed the natural and social sciences, as well as daily life over the last three centuries. A continuous narrative connects the earliest application of probability and statistics in gambling and insurance to the most recent forays into law, medicine, polling and baseball. Separate chapters explore the theoretical and methodological impact in biology, physics and psychology. Themes recur - determinism, inference, causality, free will, evidence, the shifting meaning of probability - but in dramatically different disciplinary and historical contexts. In contrast to the literature on the mathematical development of probability and statistics, this book centres on how these technical innovations remade our conceptions of nature, mind and society. Written by an interdisciplinary team of historians and philosophers, this readable, lucid account keeps technical material to an absolute minimum. It is aimed not only at specialists in the history and philosophy of science, but also at the general reader and scholars in other disciplines.


Unknown Quantity

Unknown Quantity

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  • Author: John Derbyshire
  • Publisher: National Academies Press
  • ISBN: 030909657X
  • Category : Science
  • Languages : en
  • Pages : 391

Prime Obsession taught us not to be afraid to put the math in a math book. Unknown Quantity heeds the lesson well. So grab your graphing calculators, slip out the slide rules, and buckle up! John Derbyshire is introducing us to algebra through the ages-and it promises to be just what his die-hard fans have been waiting for. "Here is the story of algebra." With this deceptively simple introduction, we begin our journey. Flanked by formulae, shadowed by roots and radicals, escorted by an expert who navigates unerringly on our behalf, we are guaranteed safe passage through even the most treacherous mathematical terrain. Our first encounter with algebraic arithmetic takes us back 38 centuries to the time of Abraham and Isaac, Jacob and Joseph, Ur and Haran, Sodom and Gomorrah. Moving deftly from Abel's proof to the higher levels of abstraction developed by Galois, we are eventually introduced to what algebraists have been focusing on during the last century. As we travel through the ages, it becomes apparent that the invention of algebra was more than the start of a specific discipline of mathematics-it was also the birth of a new way of thinking that clarified both basic numeric concepts as well as our perception of the world around us. Algebraists broke new ground when they discarded the simple search for solutions to equations and concentrated instead on abstract groups. This dramatic shift in thinking revolutionized mathematics. Written for those among us who are unencumbered by a fear of formulae, Unknown Quantity delivers on its promise to present a history of algebra. Astonishing in its bold presentation of the math and graced with narrative authority, our journey through the world of algebra is at once intellectually satisfying and pleasantly challenging.


Classical Probability in the Enlightenment, New Edition

Classical Probability in the Enlightenment, New Edition

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  • Author: Lorraine Daston
  • Publisher: Princeton University Press
  • ISBN: 0691248516
  • Category : Science
  • Languages : en
  • Pages : 456

An award-winning history of the Enlightenment quest to devise a mathematical model of rationality What did it mean to be reasonable in the Age of Reason? Enlightenment mathematicians such as Blaise Pascal, Jakob Bernoulli, and Pierre Simon Laplace sought to answer this question, laboring over a theory of rational decision, action, and belief under conditions of uncertainty. Lorraine Daston brings to life their debates and philosophical arguments, charting the development and application of probability theory by some of the greatest thinkers of the age. Now with an incisive new preface, Classical Probability in the Enlightenment traces the emergence of new kind of mathematics designed to turn good sense into a reasonable calculus.


Unknown Quantity

Unknown Quantity

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  • Author: John Derbyshire
  • Publisher: Penguin
  • ISBN: 0452288533
  • Category : Mathematics
  • Languages : en
  • Pages : 393

Perfect for history buffs and armchair algebra experts, Unknown Quantity tells the story of the development of abstract mathematical thought. John Derbyshire discovers the story behind the formulae, roots, and radicals. 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.


Armchair Chemistry

Armchair Chemistry

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  • Author: David Bradley
  • Publisher: Chartwell Books
  • ISBN: 0785835962
  • Category : Science
  • Languages : en
  • Pages : 179

Part of the Armchair series, Armchair Chemistry is a quick refresher course in how we survey of the science. It explains how we evolved from believing in alchemy to discovering modern chemical equations and goes into detail about the lives of the scientists that uncovered them. Fascinating and interactive, this is ideal for the student brushing up on a subject or for as a clear and accessible companion for beginner's and experts alike. It contains explanations of different chemical concepts, as well as profiles of key scientists and and their discoveries. It contains clear and concise explanations of different chemical concepts, as well as profiles of key scientists and their discoveries. A unique feature of the book is its simple, step-by-step exercises. Some of these have everyday applications, others are theoretical puzzles, but all are designed to challenge you and test your newly acquired knowledge. The perfect companion for beginners and experts alike, Armchair Chemistry does not assume prior knowledge of the subject. It conveys the basic elements of chemistry in a way that is clear and accessible, no matter your level of ability.


Armchair Philosophy

Armchair Philosophy

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  • Author: Daniel Aloysius Lord
  • Publisher:
  • ISBN:
  • Category : Philosophy
  • Languages : en
  • Pages : 122

Catholic pamphlet.


Emmy Noether in Bryn Mawr

Emmy Noether in Bryn Mawr

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  • Author: Bhama Srinivasan
  • Publisher: Springer Science & Business Media
  • ISBN: 1461255473
  • Category : Mathematics
  • Languages : en
  • Pages : 183

Sponsored by the Association for Women in Mathematics


Colossal Book of Mathematics

Colossal Book of Mathematics

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  • Author: Martin Gardner
  • Publisher: W. W. Norton & Company
  • ISBN: 9780393020236
  • Category : Mathematics
  • Languages : en
  • Pages : 748

No amateur or math authority can be without this ultimate compendium of classic puzzles, paradoxes, and puzzles from America's best-loved mathematical expert. 320 line drawings.


An Introduction to Essential Algebraic Structures

An Introduction to Essential Algebraic Structures

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  • Author: Martyn R. Dixon
  • Publisher: John Wiley & Sons
  • ISBN: 1118497759
  • Category : Mathematics
  • Languages : en
  • Pages : 240

A reader-friendly introduction to modern algebra with important examples from various areas of mathematics Featuring a clear and concise approach, An Introduction to Essential Algebraic Structures presents an integrated approach to basic concepts of modern algebra and highlights topics that play a central role in various branches of mathematics. The authors discuss key topics of abstract and modern algebra including sets, number systems, groups, rings, and fields. The book begins with an exposition of the elements of set theory and moves on to cover the main ideas and branches of abstract algebra. In addition, the book includes: Numerous examples throughout to deepen readers’ knowledge of the presented material An exercise set after each chapter section in an effort to build a deeper understanding of the subject and improve knowledge retention Hints and answers to select exercises at the end of the book A supplementary website with an Instructors Solutions manual An Introduction to Essential Algebraic Structures is an excellent textbook for introductory courses in abstract algebra as well as an ideal reference for anyone who would like to be more familiar with the basic topics of abstract algebra.