Mathographics Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Mathographics book. This book definitely worth reading, it is an incredibly well-written.
Stimulating, unique book explores the possibilities of mathematical drawing through compass constructions and computer graphics. Over 100 full-page drawings demonstrate possibilities: five-point egg, golden ratio, 17-gon, plughole vortex, blancmange curve, pentasnow, turtle geometry, many more. Exercises (with answers). "A wealth of intriguing and lovely ideas." — Information Technology & Learning.
Discovering Modern Set Theory. II: Set-Theoretic Tools for Every Mathematician by Winfried Just,Martin Weese Pdf
This is the second volume of a two-volume graduate text in set theory. The first volume covered the basics of modern set theory and was addressed primarily to beginning graduate students. The second volume is intended as a bridge between introductory set theory courses such as the first volume and advanced monographs that cover selected branches of set theory. The authors give short but rigorous introductions to set-theoretic concepts and techniques such as trees, partition calculus, cardinal invariants of the continuum, Martin's Axiom, closed unbounded and stationary sets, the Diamond Principle, and the use of elementary submodels. Great care is taken to motivate concepts and theorems presented.
Author : Winfried Just and Martin Weese Publisher : American Mathematical Soc. Page : 244 pages File Size : 47,8 Mb Release : 2024-06-12 Category : Set theory ISBN : 0821872087
A collection of essays explores the aesthetic, graphic, literary, scientific, mathematical, and computer-related aspects of the spiral in nature and in the man-made world.
More than fifty years ago, Thomas Szasz showed that the concept of mental illness—a disease of the mind—is an oxymoron, a metaphor, a myth. Disease, in the medical sense, affects only the body. He also demonstrated that civil commitment and the insanity defense, the paradigmatic practices of psychiatry, are incompatible with the political values of personal responsibility and individual liberty. The psychiatric establishment’s rejection of Szasz’s critique posed no danger to his work: its defense of coercions and excuses as "therapy" supported his argument regarding the metaphorical nature of mental illness and the transparent immorality of brutal psychiatric control masquerading as humane medical care. In the late 1960s, the launching of the so-called antipsychiatry movement vitiated Szasz’s effort to present a precisely formulated conceptual and political critique of the medical identity of psychiatry. Led by the Scottish psychiatrist R. D. Laing, the antipsychiatrists used the term to attract attention to themselves and to deflect attention from what they did, which included coercions and excuses based on psychiatric principles and power. For this reason, Szasz rejected, and continues to reject, psychiatry and antipsychiatry with equal vigor. Subsuming his work under the rubric of antipsychiatry betrays and negates it just as surely and effectively as subsuming it under the rubric of psychiatry. In Antipsychiatry: Quackery Squared, Szasz powerfully argues that his writings belong to neither psychiatry nor antipsychiatry. They stem from conceptual analysis, social-political criticism, and common sense.
Ranging from ancient Greek and Roman problems to the most modern applications of special mathematical techniques for amusement, this popular volume contains material to delight both beginners and advanced mathematicians. Its 250 lively puzzles, problems, situations, and demonstrations of recreational mathematics feature full solutions and analyses. Fifty-seven highly unusual historic problems are derived from ancient Greek, medieval European, Arabic, and Hindu sources. Other problems are based on "mathematics without numbers," geometry, topology, the calendar, arithmetic, and the mathematics of chess moves. Fifty pages comprise numerical pastimes built out of figurate numbers, Mersenne numbers, Fermat numbers, cyclic numbers, automorphic numbers, and prime numbers; probability problems are also fully analyzed. More than forty pages are devoted to magic squares, and the concluding portion of the book presents more than twenty-five new positional and permutational games of permanent value. A discussion of fairy chess is followed by rules and procedural information on latruncles, go, reversi, jinx, ruma, lasca, tricolor, four-story towers, tetrachrome, and other games. More than a collection of wonderful puzzles, this volume offers a thorough, rigorous, and entertaining sampler of recreational mathematics, highlighted by numerous insights into specialized fields.
Discovering Modern Set Theory: The basics by Winfried Just,Martin Weese Pdf
This book is an introduction to set theory for beginning graduate students who want to get a sound grounding in those aspects of set theory used extensively throughout other areas of mathematics. Topics covered include formal languages and models, the power and limitation of the Axiomatic Method, the Axiom of Choice, including the fascinating Banach-Tarski Paradox, applications of Zorn's Lemma, ordinal arithmetic, including transfinite induction, and cardinal arithmetic. The style of writing, more a dialogue with the reader than that of the Master indoctrinating the pupil, makes this also very suitable for self-study.
CRC Concise Encyclopedia of Mathematics by Eric W. Weisstein Pdf
Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
This work takes a close look at a broad range of 20th-century examples of design, architecture and illustration, revealing underlying geometric structures in their compositions.
Mathematics: The Man-Made Universe by Sherman K. Stein Pdf
Highly readable volume covers number theory, topology, set theory, geometry, algebra, and analysis, plus the primes, fundamental theory of arithmetic, probability, and more. Solutions manual available upon request. 1994 edition.
The Mathematica GuideBook for Graphics by Michael Trott Pdf
This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a detailed knowledge of the key aspects needed to create the fastest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes - Programming, Graphics, and Mathematics - each with a CD, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ references, and more than 500 exercises. This second volume covers 2 and 3D graphics, providing a detailed treatment of creating images from graphic primitives such as points, lines, and polygons. It also shows how to graphically display functions that are given either analytically or in discrete form and a number of images from the Mathamatica graphics gallery. The use of Mathematicas graphics capabilities provides a very efficient and instructive way to learn how to deal with the structures arising in solving complicated problems.
Although the patterns are computer-generated, the book is informal and emphasis is on the fun that the true pattern lover finds in doing rather than in reading about the doing.
Exploring Geometry, Second Edition promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements, making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed. Features: Second edition of a successful textbook for the first undergraduate course Every major concept is introduced in its historical context and connects the idea with real life Focuses on experimentation Projects help enhance student learning All major software programs can be used; free software from author
Teaching Mathematics Using ICT by Adrian James Oldknow,Ron Taylor Pdf
What Information and Communications Technology (ICT) resourcesboth hardware and softwareare available for math teachers? How can they be used to extend and enrich students learning across the math curriculum? How can teachers incorporate ICT effectively into their lesson and course planning? Why should math teachers incorporate ICT into their teaching? What developments are likely in the future?
