Supermath PDF Download

Author: Anna Weltman
Publisher: JHU Press
ISBN: 1421438208
Category : Mathematics
Languages : en
Pages : 235

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Book Description
Explore the hidden powers of math that shape us, influencing everything from our sense of justice to our perception of beauty. Archaeologists decoding ancient messages. Epidemiologists analyzing the spread of a contagious disease. African Americans seeking full enfranchisement in a society that has worked to exclude them. A family doing puzzles at the kitchen table. These scenarios seem to have little in common. But in fact, each of these groups is faced with a multifaceted challenge—and each is using math to solve it. In Supermath, popular author and educator Anna Weltman showcases the incredible power of mathematics when people apply it outside of the world of pure numbers, introducing it into the realms of science, politics, history, education, and art. Her stories share how math has protected us from war and disease, helped us communicate across time and space, and made the world a fairer and more beautiful place. But Weltman also warns us that dangers arise when the transformative might of numbers goes unchecked. Mathematics has been used to mistranslate records, silence indigenous communities, create gerrymandered voting districts, close the gates of higher education. Sometimes, math can blind those who wield it to its limitations, causing those who would deploy it to solve problems to instead create more. Drawing on history and current events, Weltman tackles five fascinating questions: Is math the universal language? Can math eliminate bias? Can math predict the next move? Can math open doors? And finally, What is genuine beauty? Supermath is an enlightening book that pursues complex lines of mathematical thought while providing a fascinating lens into global problems and human culture as a whole.

Author: John Paul Mueller
Publisher: John Wiley & Sons
ISBN: 1118823788
Category : Computers
Languages : en
Pages : 864

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Book Description
Get ahead of the C++ curve to stay in the game C++ is the workhorse of programming languages and remains one of the most widely used programming languages today. It's cross-platform, multi-functional, and updates are typically open-source. The language itself is object-oriented, offering you the utmost control over data usage, interface, and resource allocation. If your job involves data, C++ proficiency makes you indispensable. C++ All-in-One For Dummies, 3rd Edition is your number-one handbook to C++ mastery. Author John Paul Mueller is a recognized authority in the computer industry, and your ultimate guide to C++. Mueller takes you through all things C++, including information relevant to the 2014 update. Learn how to work with objects and classes Conquer advanced programming and troubleshooting Discover how lambda expressions can make your code more concise and readable See Standard Library features, such as dynamic arrays, in action Online resources include source code from examples in the book as well as a C++ GNU compiler. If you need to learn C++, this is the fastest, most effective way to do it. C++ All-in-One For Dummies, 3rd Edition will get you up and running quickly, so you can get to work producing code faster and better than ever.

Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599730375
Category : Mathematics
Languages : en
Pages : 133

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Book Description
This album of tehno-art represents the complements of ex-centric mathematics, which, reunited with the ordinary mathematics, have been temporarily named supermathematics. It has been named this way because it generates the multiplication, from one to infinite, of all functions, curves, relations, etc., in other words of all actual mathematics? entities. The supermathematics has the same equation for circle as for perfect square or triangles. In supermathematics there is no difference between linear and nonlinear. And, also, as it can be observed from this album, it gets, sometimes, ?artistic? valences. And this is just a small human step in mathematics and a big leap of mathematics for the mankind.The preparation of this album was made possible only because of the discovery of the mathematics? complements. The mathematical expressions of the new supermathematics functions constitute the base of the colored curves? families, as well as the base of some technical and/or artistic solids.

Author: Franz Wegner
Publisher: Springer
ISBN: 3662491702
Category : Science
Languages : en
Pages : 374

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Book Description
This text presents the mathematical concepts of Grassmann variables and the method of supersymmetry to a broad audience of physicists interested in applying these tools to disordered and critical systems, as well as related topics in statistical physics. Based on many courses and seminars held by the author, one of the pioneers in this field, the reader is given a systematic and tutorial introduction to the subject matter. The algebra and analysis of Grassmann variables is presented in part I. The mathematics of these variables is applied to a random matrix model, path integrals for fermions, dimer models and the Ising model in two dimensions. Supermathematics - the use of commuting and anticommuting variables on an equal footing - is the subject of part II. The properties of supervectors and supermatrices, which contain both commuting and Grassmann components, are treated in great detail, including the derivation of integral theorems. In part III, supersymmetric physical models are considered. While supersymmetry was first introduced in elementary particle physics as exact symmetry between bosons and fermions, the formal introduction of anticommuting spacetime components, can be extended to problems of statistical physics, and, since it connects states with equal energies, has also found its way into quantum mechanics. Several models are considered in the applications, after which the representation of the random matrix model by the nonlinear sigma-model, the determination of the density of states and the level correlation are derived. Eventually, the mobility edge behavior is discussed and a short account of the ten symmetry classes of disorder, two-dimensional disordered models, and superbosonization is given.

Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599733765
Category : Mathematics
Languages : en
Pages : 158

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Book Description
In the new Techno-Art of Selariu SuperMathematics Functions ALBUM (the second book of Selariu SuperMathematics Functions), one contemplates a unique COMPOSITION, INTER-, INTRA- and TRANS-DISCIPLINARY. A comprehensive and savant INTRODUCTION explains the genesis of the inserted "figures", the addressees being, without discriminating criteria, equally engineers, mathematicians, artists, graphic designers, architects, and all lovers of beauty – as the love of beauty is the supreme form of love. If I should put a label on the "content" of this ALBUM, I would concoct the word NEO-BEAUTY! The new complements of mathematics, reunited under the name of ex-centric mathematics (EM), extend (theoretically, endless) their scope; in this respect, Selariu SuperMathematics Functions are undeniable arguments! The author has labored (especially in the last three decades) extensively and fruitfully in the elitist field of the domain. To mention some 'milestones' in this ALBUM, I choose specific mathematical elements, supermatematically hybridated: quadrilobic cubes, sphericubes, conopyramids, ex-centric spirals, severed toroids. There are also those that would qualify as "utilitarian": clepsydras, vases, baskets, lampions, or those suggestively “baptized” (by the author): butterflies, octopuses, flying saucers, jellies, roundabouts, ribands, and so on – all superlatively designed in shapes and colors! Striking phrases, such as “staggering multiplication of the dimensions of the Universe”, “integration through differential division” etc., become plausible (and explained) by replacing the time (of Einstein's four-dimensional space) with ex-centricity. Consequently, classical geometrical bodies (for e=0): the sphere, the cylinder, the cone, undergo metamorphosis (for e = +/-1), respectively into a cube, a prism, a pyramid. Inevitably and invariably, it is confirmed again that science is a finite space that grows in the infinite space; each new "expansion" does include a new area of unknown, but the unknown is inexhaustible... Just browsing the ALBUM pages, you feel induced by the sensation of pleasure, of love at first sight; the variety of "exhibits", most of them unusual, the elegance, the symmetry of the layout, the chromatic, and so one, delight the eye, but equally incites to catchy intellectual exploration.

Author: Mihai Eugen Selariu
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11

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Book Description
The paper presents some impossibilities in the old (ordinary) mathematics, now called centric mathematics (CM), which become possible in the new ex-centric mathematics (EM). The unification (reunion) of the two mathematics (CM and EM) constitutes what has been called SuperMathematics (SM), in which CM has only one member, while EM has an infinity of members for each entity. This gives the possibility of describing an elliptical function such as Neville Theta C with ex-centric circular SM functions. There is also the curiosity (sister to the impossible!) for a function to be almost identical to its variable. All this defies the possible, so it can be said like Professor Florentin Smarandache: "Everything is possible, even the impossible." In SuperMathematics!

Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 98

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Book Description
The name of supermathematics (SM) was coined by the late mathematician Prof. em. Dr. doc. eng. Gheorghe Silaş who, at the presentation of the first works in this field, at the First National Conference of Vibrations in Machine Construction, Timişoara, 1978, entitled “EXCENTRIC CIRCULAR FUNCTIONS” declared: “Young man, you didn't just discover some new functions, but a new mathematics, a supermathematics”. Then, at my age of 40, I was as happy as I was when a teenager. And I found, with great satisfaction, that he might be right! In 1978! In 2000, after 22 years, he offered me to write an article about supermathematics in the publication “Rigid Solid Mechanics”, to which he was editor. That's how the work “RIGOROUS TRANSFORMATION OF COMPLIANCE INTO THE CIRCLE” was born. Important work, we believe. It also has a negative frequency! The prefix super is justified today, in order to highlight emerging new mathematical complements, reunited under the name of excentric mathematics (EM), with much more important and infinitely more numerous entities than the existing entities in the actual ordinary mathematics, which we must call centric mathematics (CM). - Mircea Eugen Selariu

Author: Misha Shifman
Publisher: World Scientific
ISBN: 9814476072
Category : Mathematics
Languages : en
Pages : 258

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Book Description
Felix Berezin was an outstanding Soviet mathematician who in the 1960s and 70s was the driving force behind the emergence of the branch of mathematics now known as supermathematics. The integral over the anticommuting Grassmann variables that he introduced in the 1960s laid the foundation for the path integral formulation of quantum field theory with fermions, the heart of modern supersymmetric field theories and superstrings. The Berezin integral is named for him, as is the closely related construction of the Berezinian, which may be regarded as the superanalog of the determinant.This book features a masterfully written memoir by Berezin's widow, Elena Karpel, who narrates a remarkable account of Berezin's life and his struggle for survival under the totalitarian Soviet regime. Supplemented with recollections by his close friends and colleagues, Berezin's accomplishments in mathematics, his novel ideas and breakthrough works, are reviewed in two articles written by Andrei Losev and Robert Minlos.

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 112

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Book Description
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 128

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Book Description
InfoWorld is targeted to Senior IT professionals. Content is segmented into Channels and Topic Centers. InfoWorld also celebrates people, companies, and projects.