A Study Guide for G. H. Hardy's

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A Study Guide for G. H. Hardy's "A Mathematician's Apology"

By Gale, Cengage Learning
  • Book ID : 1410352331
  • Publisher : Gale, Cengage Learning
  • Pages : 19
  • Genre : Literary Criticism
  • Reads : 748
  • eBook Format : Pdf, ePub, Mobi, Kindle
  • File Pdf: a-study-guide-for-g-h-hardy-s-a-mathematician-s-apology.pdf

Book Summary:

A Study Guide for G. H. Hardy's "A Mathematician's Apology," excerpted from Gale's acclaimed Nonfiction Classics for Students. This concise study guide includes plot summary; character analysis; author biography; study questions; historical context; suggestions for further reading; and much more. For any literature project, trust Nonfiction Classics for Students for all of your research needs.

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Book Summary:

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Book Summary:

Shanker exposes the confusions underlying the currently prevailing interpretations of Wittgenstein. He shows how such approaches and their underlying critical frameworks are incapable of coming to terms with Wittgenstein’s arguments in the philosophy of mathematics. This book explains not only Wittgenstein’s approach, which was justly heralded as causing a turning point in the philosophy of mathematics, but also the philosophy of mathematics in general.

Mathematical Lives

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  • Format : Pdf, ePub, Mobi, Kindle
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  • File Pdf: mathematical-lives.pdf

Book Summary:

Steps forward in mathematics often reverberate in other scientific disciplines, and give rise to innovative conceptual developments or find surprising technological applications. This volume brings to the forefront some of the proponents of the mathematics of the twentieth century, who have put at our disposal new and powerful instruments for investigating the reality around us. The portraits present people who have impressive charisma and wide-ranging cultural interests, who are passionate about defending the importance of their own research, are sensitive to beauty, and attentive to the social and political problems of their times. What we have sought to document is mathematics’ central position in the culture of our day. Space has been made not only for the great mathematicians but also for literary texts, including contributions by two apparent interlopers, Robert Musil and Raymond Queneau, for whom mathematical concepts represented a valuable tool for resolving the struggle between ‘soul and precision.’

The Pragmatics of Mathematics Education

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  • Publisher : Routledge
  • Isbn : 1135698333
  • Pages : 256
  • Category : Education
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  • File Pdf: the-pragmatics-of-mathematics-education.pdf

Book Summary:

Drawing on philosophy of language and recent linguistic theory, Rowland surveys several approaches to classroom communication in mathematics. Are students intimidated by the nature of mathematics teaching? Many students appear fearful of voicing their understanding - is fear of error part of the linguistics of mathematics? The approaches explored here provide a rationale and a method for exploring and understanding speakers' motives in classroom mathematics talk. Teacher-student interactions in mathematics are analysed, and this provides a toolkit that teachers can use to respond to the intellectual vulnerability of their students.

Mathematicians and their Gods

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  • Publisher : OUP Oxford
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  • Category : Mathematics
  • Reads : 739
  • File Pdf: mathematicians-and-their-gods.pdf

Book Summary:

To open a newspaper or turn on the television it would appear that science and religion are polar opposites - mutually exclusive bedfellows competing for hearts and minds. There is little indication of the rich interaction between religion and science throughout history, much of which continues today. From ancient to modern times, mathematicians have played a key role in this interaction. This is a book on the relationship between mathematics and religious beliefs. It aims to show that, throughout scientific history, mathematics has been used to make sense of the 'big' questions of life, and that religious beliefs sometimes drove mathematicians to mathematics to help them make sense of the world. Containing contributions from a wide array of scholars in the fields of philosophy, history of science and history of mathematics, this book shows that the intersection between mathematics and theism is rich in both culture and character. Chapters cover a fascinating range of topics including the Sect of the Pythagoreans, Newton's views on the apocalypse, Charles Dodgson's Anglican faith and Gödel's proof of the existence of God.

Both Flesh and Not

By David Foster Wallace
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Little, Brown
  • Isbn : 0316214698
  • Pages : 336
  • Category : Literary Collections
  • Reads : 920
  • File Pdf: both-flesh-and-not.pdf

Book Summary:

Brilliant, dazzling, never-before-collected nonfiction writings by "one of America's most daring and talented writers" (Los Angeles Times Book Review): Both Flesh and Not gathers fifteen of Wallace's seminal essays, all published in book form for the first time. Never has Wallace's seemingly endless curiosity been more evident than in this compilation of work spanning nearly 20 years of writing. Here, Wallace turns his critical eye with equal enthusiasm toward Roger Federer and Jorge Luis Borges; Terminator 2 and The Best of the Prose Poem; the nature of being a fiction writer and the quandary of defining the essay; the best underappreciated novels and the English language's most irksome misused words; and much more. Both Flesh and Not restores Wallace's essays as originally written, and it includes a selection from his personal vocabulary list, an assembly of unusual words and definitions.

The Reflection of Life

By A. H. Louie
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 1461469287
  • Pages : 243
  • Category : Mathematics
  • Reads : 540
  • File Pdf: the-reflection-of-life.pdf

Book Summary:

​​​A. H. Louie’s The Reflection of Life: Functional Entailment and Imminence in Relational Biology is a continuation of the exploratory journey in relational biology which began with his 2009 monograph More Than Life Itself: A Synthetic Continuation in Relational Biology. The theme of his first book was ‘What is life?’; the theme of this sequel is “How do two life forms interact?” Biology is a subject concerned with organization of relations. Relational biology is the approach that advocates ‘function dictates structure”, rather than ‘structure implies function’. It is mathematics decoded into biological realizations. The book demonstrates some of the powers of the approach of relational biology, and illustrates how pertinent problems in biology can be better addressed this way. In the first volume the theory was developed by using partially ordered sets, lattices, simulations, models, Aristotle’s four causes, graphs, categories, simple and complex systems, anticipatory systems, and metabolism-repair [(M,R)-] systems. Here in the second volume, these tools are expanded to employ set-valued mappings, adjacency matrices, random graphs, and interacting entailment networks. The theory of set-valued mappings culminates in the imminence mapping, which equips the further investigation of functional entailment in complex relational networks. Imminence in (M,R)-networks that model living systems addresses the topics of biogenesis and natural selection. Interacting (M,R)-networks with mutually entailing processes serve as models in the study of symbiosis and pathophysiology. The formalism also provides a natural framework for a relational theory of virology and oncology. This book will serve researchers and graduate students in mathematics and biology.

Mathematical Reasoning

By Raymond Nickerson
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Psychology Press
  • Isbn : 1136945385
  • Pages : 596
  • Category : Psychology
  • Reads : 473
  • File Pdf: mathematical-reasoning.pdf

Book Summary:

The development of mathematical competence -- both by humans as a species over millennia and by individuals over their lifetimes -- is a fascinating aspect of human cognition. This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the ‘truths’ of mathematics are discoveries or inventions, and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as ‘beautiful’? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction. This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book’s insights illuminating.

Gaither's Dictionary of Scientific Quotations

By Carl C. Gaither,Alma E. Cavazos-Gaither
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 1461411149
  • Pages : 2867
  • Category : Science
  • Reads : 766
  • File Pdf: gaither-s-dictionary-of-scientific-quotations.pdf

Book Summary:

This unprecedented collection of 27,000 quotations is the most comprehensive and carefully researched of its kind, covering all fields of science and mathematics. With this vast compendium you can readily conceptualize and embrace the written images of scientists, laymen, politicians, novelists, playwrights, and poets about humankind's scientific achievements. Approximately 9000 high-quality entries have been added to this new edition to provide a rich selection of quotations for the student, the educator, and the scientist who would like to introduce a presentation with a relevant quotation that provides perspective and historical background on his subject. Gaither's Dictionary of Scientific Quotations, Second Edition, provides the finest reference source of science quotations for all audiences. The new edition adds greater depth to the number of quotations in the various thematic arrangements and also provides new thematic categories.