Selected Mathematical Works

Selected Mathematical Works

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  • Author: Lewis Carroll
  • Publisher: DigiCat
  • ISBN:
  • Category : Mathematics
  • Languages : en
  • Pages : 358

This carefully crafted ebook: "Selected Mathematical Works: Symbolic Logic + The Game of Logic + Feeding the Mind" is formatted for your eReader with a functional and detailed table of contents. Lewis Carroll wrote several mathematics books. He was mainly interested in using logic diagrams as a pedagogical tool. Symbolic Logic, first published in 1896, contains literally dozens of puzzles. He believed heartily that children would enjoy learning mathematics if they could be enticed by amusing stories and puzzles. The Game of Logic, published in 1897, was intended to teach logic to children. His "game" consisted of a card with two diagrams, together with a set of counters, five grey and four red. The two diagrams were Carroll's version of a two-set and a three-set Venn diagram. A manuscript of a brief lecture Lewis Carroll once gave, Feeding the Mind, discusses the importance of not only feeding the body, but also the mind. Carroll wittily puts forth connections between the diet of the body and mind, and gives helpful tips on how to best digest knowledge in the brain. This essay was originally printed in 1907. Lewis Carroll ((1832-1898) is best known as the author of Alice in Wonderland and Alice Through the Looking Glass. His real name was Charles Dodgson. His father, the Reverend Charles Dodgson, instilled in his son a love of mathematics from an early age. Lewis studied at Oxford, and later taught there as a Mathematics Lecturer.


Selected Works of S.L. Sobolev

Selected Works of S.L. Sobolev

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  • Author: Gennadii V. Demidenko
  • Publisher: Springer Science & Business Media
  • ISBN: 0387341498
  • Category : Mathematics
  • Languages : en
  • Pages : 606

The topics covered in this volume include Sobolev’s fundamental works on equations of mathematical physics, computational mathematics, and cubature formulas. Some of the articles are generally unknown to mathematicians because they were published in journals that are difficult to access. This is the first appearance in English of many works by this important Russian mathematician.


Humble Pi

Humble Pi

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  • Author: Matt Parker
  • Publisher: Penguin
  • ISBN: 0593084691
  • Category : Mathematics
  • Languages : en
  • Pages : 337

#1 INTERNATIONAL BESTSELLER AN ADAM SAVAGE BOOK CLUB PICK The book-length answer to anyone who ever put their hand up in math class and asked, “When am I ever going to use this in the real world?” “Fun, informative, and relentlessly entertaining, Humble Pi is a charming and very readable guide to some of humanity's all-time greatest miscalculations—that also gives you permission to feel a little better about some of your own mistakes.” —Ryan North, author of How to Invent Everything Our whole world is built on math, from the code running a website to the equations enabling the design of skyscrapers and bridges. Most of the time this math works quietly behind the scenes . . . until it doesn’t. All sorts of seemingly innocuous mathematical mistakes can have significant consequences. Math is easy to ignore until a misplaced decimal point upends the stock market, a unit conversion error causes a plane to crash, or someone divides by zero and stalls a battleship in the middle of the ocean. Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun.


Mathematical Foundation of Geodesy

Mathematical Foundation of Geodesy

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  • Author: Kai Borre
  • Publisher: Springer Science & Business Media
  • ISBN: 3540337679
  • Category : Science
  • Languages : en
  • Pages : 415

This volume contains selected papers by Torben Krarup, one of the most important geodesists of the 20th century. The collection includes the famous booklet "A Contribution to the Mathematical Foundation of Physical Geodesy" from 1969, the unpublished "Molodenskij letters" from 1973, the final version of "Integrated Geodesy" from 1978, "Foundation of a Theory of Elasticity for Geodetic Networks" from 1974, as well as trend-setting papers on the theory of adjustment.


Visible Learning for Mathematics, Grades K-12

Visible Learning for Mathematics, Grades K-12

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  • Author: John Hattie
  • Publisher: Corwin Press
  • ISBN: 1506362958
  • Category : Education
  • Languages : en
  • Pages : 209

Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.


The Mathematical Works of Leon Battista Alberti

The Mathematical Works of Leon Battista Alberti

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  • Author: Kim Williams
  • Publisher: Springer Science & Business Media
  • ISBN: 3034604742
  • Category : Mathematics
  • Languages : en
  • Pages : 221

Leon Battista Alberti was an outstanding polymath of the fifteenth century, alongside Piero della Francesca and before Leonardo da Vinci. While his contributions to architecture and the visual arts are well known and available in good English editions, and much of his literary and social writings are also available in English, his mathematical works are not well represented in readily available, accessible English editions have remained accessible only to specialists. The four treatises included here – Ludi matematici, De Componendis Cifris, Elementi di pittura and De lunularum quadratura – are extremely valuable in rounding out the portrait of this multitalented thinker. The treatises are presented in modern English translations, with commentary that is intended to make evident the depths of Alberti’s knowledge as well as address the treatises’ mathematical, historical and cultural context, their classical Greek roots, and their relationship to later works by Renaissance thinkers.


The Mathematical Works of Lewis Carroll

The Mathematical Works of Lewis Carroll

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  • Author: Lewis Carroll
  • Publisher: DigiCat
  • ISBN:
  • Category : Mathematics
  • Languages : en
  • Pages : 360

Lewis Carroll wrote several mathematics books. He was mainly interested in using logic diagrams as a pedagogical tool. Symbolic Logic, first published in 1896, contains literally dozens of puzzles. He believed heartily that children would enjoy learning mathematics if they could be enticed by amusing stories and puzzles. The Game of Logic, published in 1897, was intended to teach logic to children. His "game" consisted of a card with two diagrams, together with a set of counters, five grey and four red. The two diagrams were Carroll's version of a two-set and a three-set Venn diagram. A manuscript of a brief lecture Lewis Carroll once gave, Feeding the Mind, discusses the importance of not only feeding the body, but also the mind. Carroll wittily puts forth connections between the diet of the body and mind, and gives helpful tips on how to best digest knowledge in the brain. This essay was originally printed in 1907. Lewis Carroll ((1832-1898) is best known as the author of Alice in Wonderland and Alice Through the Looking Glass. His real name was Charles Dodgson. His father, the Reverend Charles Dodgson, instilled in his son a love of mathematics from an early age. Lewis studied at Oxford, and later taught there as a Mathematics Lecturer.


My Best Mathematical and Logic Puzzles

My Best Mathematical and Logic Puzzles

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  • Author: Martin Gardner
  • Publisher: Courier Corporation
  • ISBN: 0486320324
  • Category : Games & Activities
  • Languages : en
  • Pages : 100

The noted expert selects 70 of his favorite "short" puzzles, including such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and dozens more involving logic and basic math. Solutions included.


Mathematician And His Mathematical Work, A: Selected Papers Of S S Chern

Mathematician And His Mathematical Work, A: Selected Papers Of S S Chern

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  • Author: Shiu-yuen Cheng
  • Publisher: World Scientific
  • ISBN: 9814499978
  • Category : Mathematics
  • Languages : en
  • Pages : 732

This volume is about the life and work of Shiing-Shen Chern (1911-), one of the leading mathematicians of this century. The book contains personal accounts by some friends, together with a summary of the mathematical works by Chern himself. Besides a selection of the mathematical papers the book also contains all his papers published after 1988.


The Mathematical Works of Bernard Bolzano

The Mathematical Works of Bernard Bolzano

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  • Author: Steve Russ
  • Publisher: OUP Oxford
  • ISBN: 9780191513701
  • Category : Mathematics
  • Languages : en
  • Pages : 742

Bernard Bolzano (1781-1848, Prague) was a remarkable thinker and reformer far ahead of his time in many areas, including philosophy, theology, ethics, politics, logic, and mathematics. Aimed at historians and philosophers of both mathematics and logic, and research students in those fields, this volume contains English translations, in most cases for the first time, of many of Bolzano's most significant mathematical writings. These are the primary sources for many of his celebrated insights and anticipations, including: clear topological definitions of various geometric extensions; an effective statement and use of the Cauchy convergence criterion before it appears in Cauchy's work; proofs of the binomial theorem and the intermediate value theorem that are more general and rigorous than previous ones; an impressive theory of measurable numbers (a version of real numbers), a theory of functions including the construction of a continuous, non-differentiable function (around 1830); and his tantalising conceptual struggles over the possible relationships between infinite collections. Bolzano identified an objective and semantic connection between truths, his so-called 'ground-consequence' relation that imposed a structure on mathematical theories and reflected careful conceptual analysis. This was part of his highly original philosophy of mathematics that appears to be inseparable from his extraordinarily fruitful practical development of mathematics in ways that remain far from being properly understood, and may still be of relevance today.