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Sherlock Holmes in Babylon and Other Tales of Mathematical History

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Release : 2022-04-26
Genre : Mathematics
Kind : eBook
Book Rating : 039/5 ( reviews)

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Book Synopsis Sherlock Holmes in Babylon and Other Tales of Mathematical History by : Marlow Anderson

Download or read book Sherlock Holmes in Babylon and Other Tales of Mathematical History written by Marlow Anderson. This book was released on 2022-04-26. Available in PDF, EPUB and Kindle. Book excerpt: Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time as viewed by distinguished historians of mathematics from the past and the present. Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included to show how knowledge and views about the topic changed over the years. This book will be enjoyed by anyone interested in mathematics and its history - and, in particular, by mathematics teachers at secondary, college, and university levels.

Algebra in Context

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Release : 2015-10-15
Genre : History
Kind : eBook
Book Rating : 286/5 ( reviews)

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Book Synopsis Algebra in Context by : Amy Shell-Gellasch

Download or read book Algebra in Context written by Amy Shell-Gellasch. This book was released on 2015-10-15. Available in PDF, EPUB and Kindle. Book excerpt: An engaging new approach to teaching algebra that takes students on a historical journey from its roots to modern times. This book’s unique approach to the teaching of mathematics lies in its use of history to provide a framework for understanding algebra and related fields. With Algebra in Context, students will soon discover why mathematics is such a crucial part not only of civilization but also of everyday life. Even those who have avoided mathematics for years will find the historical stories both inviting and gripping. The book’s lessons begin with the creation and spread of number systems, from the mathematical development of early civilizations in Babylonia, Greece, China, Rome, Egypt, and Central America to the advancement of mathematics over time and the roles of famous figures such as Descartes and Leonardo of Pisa (Fibonacci). Before long, it becomes clear that the simple origins of algebra evolved into modern problem solving. Along the way, the language of mathematics becomes familiar, and students are gradually introduced to more challenging problems. Paced perfectly, Amy Shell-Gellasch and J. B. Thoo’s chapters ease students from topic to topic until they reach the twenty-first century. By the end of Algebra in Context, students using this textbook will be comfortable with most algebra concepts, including • Different number bases • Algebraic notation • Methods of arithmetic calculation • Real numbers • Complex numbers • Divisors • Prime factorization • Variation • Factoring • Solving linear equations • False position • Solving quadratic equations • Solving cubic equations • nth roots • Set theory • One-to-one correspondence • Infinite sets • Figurate numbers • Logarithms • Exponential growth • Interest calculations

The Great Mathematicians

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Release : 2012-06-01
Genre : History
Kind : eBook
Book Rating : 484/5 ( reviews)

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Book Synopsis The Great Mathematicians by : Raymond Flood

Download or read book The Great Mathematicians written by Raymond Flood. This book was released on 2012-06-01. Available in PDF, EPUB and Kindle. Book excerpt: Why did Florence Nightingale introduce pie charts? How did Lewis Carroll regard Pythagoras? Who learned calculus from her nursery wallpaper? Spanning from the ancient world to the modern age, The Great Mathematicians tells fascinating and unusual tales of the men and women who transformed mathematics. We meet the mathematician who knew eight languages by the time he was 11, the one who was sent to jail for gambling and the one who published a lot yet never existed. As well as providing rich bibliographic detail, Professors Raymond Flood and Robin Wilson explain various theorems using concise and accessible language. These include the Pythagorean theorem, Gödel's Incompleteness theorem, Fermat's Last Theorem and many more. Flood and Wilson are both former presidents of the British Society for the History of Mathematics and are uniquely qualified to lay out this incredible tale. This entertaining and rigorously accurate book presents mathematics with a human face, celebrating the achievements of the greatest mathematicians across history.

Introduction to Real Analysis

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Release : 2011-09-09
Genre : Mathematics
Kind : eBook
Book Rating : 431/5 ( reviews)

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Book Synopsis Introduction to Real Analysis by : William C. Bauldry

Download or read book Introduction to Real Analysis written by William C. Bauldry. This book was released on 2011-09-09. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to real analysis and its connectionto elementary calculus Bridging the gap between the development and history of realanalysis, Introduction to Real Analysis: An EducationalApproach presents a comprehensive introduction to real analysiswhile also offering a survey of the field. With its balance ofhistorical background, key calculus methods, and hands-onapplications, this book provides readers with a solid foundationand fundamental understanding of real analysis. The book begins with an outline of basic calculus, including aclose examination of problems illustrating links and potentialdifficulties. Next, a fluid introduction to real analysis ispresented, guiding readers through the basic topology of realnumbers, limits, integration, and a series of functions in naturalprogression. The book moves on to analysis with more rigorousinvestigations, and the topology of the line is presented alongwith a discussion of limits and continuity that includes unusualexamples in order to direct readers' thinking beyond intuitivereasoning and on to more complex understanding. The dichotomy ofpointwise and uniform convergence is then addressed and is followedby differentiation and integration. Riemann-Stieltjes integrals andthe Lebesgue measure are also introduced to broaden the presentedperspective. The book concludes with a collection of advancedtopics that are connected to elementary calculus, such as modelingwith logistic functions, numerical quadrature, Fourier series, andspecial functions. Detailed appendices outline key definitions and theorems inelementary calculus and also present additional proofs, projects,and sets in real analysis. Each chapter references historicalsources on real analysis while also providing proof-orientedexercises and examples that facilitate the development ofcomputational skills. In addition, an extensive bibliographyprovides additional resources on the topic. Introduction to Real Analysis: An Educational Approach isan ideal book for upper- undergraduate and graduate-level realanalysis courses in the areas of mathematics and education. It isalso a valuable reference for educators in the field of appliedmathematics.

Mathematics in Historical Context

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Release : 2009-08-27
Genre : Mathematics
Kind : eBook
Book Rating : 706/5 ( reviews)

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Book Synopsis Mathematics in Historical Context by : Jeff Suzuki

Download or read book Mathematics in Historical Context written by Jeff Suzuki. This book was released on 2009-08-27. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of the interaction between mathematics, mathematicians and society. What would Newton see if he looked out his window?

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