Mathematical Recreations and Essays

Mathematical Recreations and Essays

Author: W. W. Rouse Ball

Publisher: Createspace Independent Publishing Platform

Published: 2018-07-11

Total Pages: 376

ISBN-13: 9781722814885

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Mathematical Recreations and Essays W. W. Rouse Ball For nearly a century, this sparkling classic has provided stimulating hours of entertainment to the mathematically inclined. The problems posed here often involve fundamental mathematical methods and notions, but their chief appeal is their capacity to tease and delight. In these pages you will find scores of "recreations" to amuse you and to challenge your problem-solving faculties-often to the limit. Now in its 13th edition, Mathematical Recreations and Essays has been thoroughly revised and updated over the decades since its first publication in 1892. This latest edition retains all the remarkable character of the original, but the terminology and treatment of some problems have been updated and new material has been added. Among the challenges in store for you: Arithmetical and geometrical recreations; Polyhedra; Chess-board recreations; Magic squares; Map-coloring problems; Unicursal problems; Cryptography and cryptanalysis; Calculating prodigies; ... and more. You'll even find problems which mathematical ingenuity can solve but the computer cannot. No knowledge of calculus or analytic geometry is necessary to enjoy these games and puzzles. With basic mathematical skills and the desire to meet a challenge you can put yourself to the test and win. "A must to add to your mathematics library."-The Mathematics Teacher We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.


Mathematics as Metaphor

Mathematics as Metaphor

Author: I͡U. I. Manin

Publisher: American Mathematical Soc.

Published: 2007

Total Pages: 258

ISBN-13: 0821843311

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Includes essays that are grouped in three parts: Mathematics; Mathematics and Physics; and, Language, Consciousness, and Book reviews. This book is suitable for those interested in the philosophy and history of mathematics, physics, and linguistics.


Mathematical Understanding of Nature

Mathematical Understanding of Nature

Author: Vladimir Igorevich Arnolʹd

Publisher: American Mathematical Soc.

Published: 2014-09-04

Total Pages: 184

ISBN-13: 1470418894

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"This collection of 39 short stories gives the reader a unique opportunity to take a look at the scientific philosophy of Vladimir Arnold, one of the most original contemporary researchers. Topics of the stories included range from astronomy, to mirages, to motion of glaciers, to geometry of mirrors and beyond. In each case Arnold's explanation is both deep and simple, which makes the book interesting and accessible to an extremely broad readership. Original illustrations hand drawn by the author help the reader to further understand and appreciate Arnold's view on the relationship between mathematics and science."--


Mathematics in Philosophy

Mathematics in Philosophy

Author: Charles D. Parsons

Publisher: Cornell University Press

Published: 2018-08-06

Total Pages: 367

ISBN-13: 1501729322

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This important book by a major American philosopher brings together eleven essays treating problems in logic and the philosophy of mathematics. A common point of view, that mathematical thought is central to our thought in general, underlies the essays. In his introduction, Parsons articulates that point of view and relates it to past and recent discussions of the foundations of mathematics. Mathematics in Philosophy is divided into three parts. Ontology—the question of the nature and extent of existence assumptions in mathematics—is the subject of Part One and recurs elsewhere. Part Two consists of essays on two important historical figures, Kant and Frege, and one contemporary, W. V. Quine. Part Three contains essays on the three interrelated notions of set, class, and truth.


Essays on Mathematical Robotics

Essays on Mathematical Robotics

Author: John Baillieul

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 382

ISBN-13: 1461217105

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The chapters in this book present an excellent exposition of recent developments in both robotics and nonlinear control centering around "hyper-redundancy", highly oscillatory inputs, optimal control, exterior differential systems, and the use of generic loops. The principal topics covered in the book are: adaptive control for a class of nonlinear systems, event-based motion planning, nonlinear control synthesis and path planning in robotics with special emphasis on nonholonomic and "hyper-redundant" robotic systems, control design and stabilization of driftless affine control systems (of the type arising in the kinematic control of nonholonomic robotic systems), control design methods for Hamiltonian systems and exterior differential systems. The chapter covering exterior differential systems contains a detailed introduction to the use of exterior differential methods, including the Goursat and extended Goursat normal forms and their application to path planning for nonholonomic systems.


Essays in Constructive Mathematics

Essays in Constructive Mathematics

Author: Harold M. Edwards

Publisher: Springer Nature

Published: 2022-09-29

Total Pages: 325

ISBN-13: 303098558X

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Contents and treatment are fresh and very different from the standard treatments Presents a fully constructive version of what it means to do algebra The exposition is not only clear, it is friendly, philosophical, and considerate even to the most naive or inexperienced reader


New Essays on Peirce's Mathematical Philosophy

New Essays on Peirce's Mathematical Philosophy

Author: Matthew E. Moore

Publisher:

Published: 2010

Total Pages: 0

ISBN-13: 9780812696813

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The inventor of pragmatism, Charles Peirce is a seminal figure in the development of modern logic. His searching investigations in the "logic of science" have profoundly influenced subsequent work in epistemology and the philosophy of science, and his semiotics has had a similar impact on the philosophy of language. By contrast, Peirce's philosophy of mathematics has received relatively little attention, despite its centrality to his thought and the depth of his insights into the perennialproblems of the subject. This book changes that. Here, philosophers look afresh at this neglected but vital dimension of Peirce's thought. The essays are wide-ranging in their coverage, with in-depth discussions of a range of topics.


18 Unconventional Essays on the Nature of Mathematics

18 Unconventional Essays on the Nature of Mathematics

Author: Reuben Hersh

Publisher: Springer Science & Business Media

Published: 2006-01-16

Total Pages: 346

ISBN-13: 0387298312

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Collection of the most interesting recent writings on the philosophy of mathematics written by highly respected researchers from philosophy, mathematics, physics, and chemistry Interdisciplinary book that will be useful in several fields—with a cross-disciplinary subject area, and contributions from researchers of various disciplines