A Mathematical Space Odyssey

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A Mathematical Space Odyssey

Author : Claudi Alsina
Publisher : The Mathematical Association of America
ISBN 13 : 0883853582
Total Pages : 288 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis A Mathematical Space Odyssey by : Claudi Alsina

Download or read book A Mathematical Space Odyssey written by Claudi Alsina and published by The Mathematical Association of America. This book was released on 2015-08-21 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid geometry is the traditional name for what we call today the geometry of three-dimensional Euclidean space. Courses in solid geometry have largely disappeared from American high schools and colleges. The authors are convinced that a mathematical exploration of three-dimensional geometry merits some attention in today’s curriculum. A Mathematical Space Odyssey: Solid Geometry in the 21st Century is devoted to presenting techniques for proving a variety of mathematical results in three-dimensional space, techniques that may improve one’s ability to think visually. Special attention is given to the classical icons of solid geometry (prisms, pyramids, platonic solids, cones, cylinders, and spheres) and many new and classical results: Cavalieri’s principle, Commandino’s theorem, de Gua’s theorem, Prince Rupert’s cube, the Menger sponge, the Schwarz lantern, Euler’s rotation theorem, the Loomis-Whitney inequality, Pythagorean theorems in three dimensions, etc. The authors devote a chapter to each of the following basic techniques for exploring space and proving theorems: enumeration, representation, dissection, plane sections, intersection, iteration, motion, projection, and folding and unfolding. In addition to many figures illustrating theorems and their proofs, a selection of photographs of three-dimensional works of art and architecture are included. Each chapter includes a selection of Challenges for the reader to explore further properties and applications. It concludes with solutions to all the Challenges in the book, references, and a complete index. Readers should be familiar with high school algebra, plane and analytic geometry, and trigonometry. While brief appearances of calculus do occur, no knowledge of calculus is necessary to enjoy this book.

A Mathematical Odyssey

Author : Steven G. Krantz
Publisher : Springer
ISBN 13 : 1461489393
Total Pages : 392 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis A Mathematical Odyssey by : Steven G. Krantz

Download or read book A Mathematical Odyssey written by Steven G. Krantz and published by Springer. This book was released on 2014-05-10 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is a poem. It is a lucid, sensual, precise exposition of beautiful ideas directed to specific goals. It is worthwhile to have as broad a cross-section of mankind as possible be conversant with what goes on in mathematics. Just as everyone knows that the Internet is a powerful and important tool for communication, so everyone should know that the Poincaré conjecture gives us important information about the shape of our universe. Just as every responsible citizen realizes that the mass-production automobile was pioneered by Henry Ford, so everyone should know that the P/NP problem has implications for security and data manipulation that will affect everyone. This book endeavors to tell the story of the modern impact of mathematics, of its trials and triumphs and insights, in language that can be appreciated by a broad audience. It endeavors to show what mathematics means for our lives, how it impacts all of us, and what new thoughts it should cause us to entertain. It introduces new vistas of mathematical ideas and shares the excitement of new ideas freshly minted. It discusses the significance and impact of these ideas, and gives them meaning that will travel well and cause people to reconsider their place in the universe. Mathematics is one of mankind's oldest disciplines. Along with philosophy, it has shaped the very modus of human thought. And it continues to do so. To be unaware of modern mathematics is to miss out on a large slice of life. It is to be left out of essential modern developments. We want to address this point, and do something about it. This is a book to make mathematics exciting for people of all interests and all walks of life. Mathematics is exhilarating, it is ennobling, it is uplifting, and it is fascinating. We want to show people this part of our world, and to get them to travel new paths.

Extension Problems and Stable Ranks

Author : Raymond Mortini
Publisher : Springer Nature
ISBN 13 : 3030738728
Total Pages : 2197 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Extension Problems and Stable Ranks by : Raymond Mortini

Download or read book Extension Problems and Stable Ranks written by Raymond Mortini and published by Springer Nature. This book was released on 2021-08-02 with total page 2197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained encyclopedic monograph gives a detailed introduction to Bézout equations and stable ranks, encompassing and explaining needed topological, analytical, and algebraic tools and methods. Some of the highlights included are Carleson's corona theorem and the Bass, topological, and matricial stable ranks. The first volume focusses on topological structures, Banach algebras, and advanced function theory, thus preparing the stage for the algebraic structures in the second volume towards examining stable ranks with analytic methods. The main emphasis is laid on algebras of holomorphic functions. Often a new approach is presented or at least a different angle of sight, which makes the book attractive both for researchers and students interested in these active fields of research.

How Not to Be Wrong

Author : Jordan Ellenberg
Publisher : Penguin Press
ISBN 13 : 1594205221
Total Pages : 480 pages
Book Rating : 4.5/5 (942 download)

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Book Synopsis How Not to Be Wrong by : Jordan Ellenberg

Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin Press. This book was released on 2014-05-29 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.

2001, a Relativistic Spacetime Odyssey

Author : Ignazio Ciufolini
Publisher : World Scientific
ISBN 13 : 9789812380890
Total Pages : 528 pages
Book Rating : 4.3/5 (88 download)

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Book Synopsis 2001, a Relativistic Spacetime Odyssey by : Ignazio Ciufolini

Download or read book 2001, a Relativistic Spacetime Odyssey written by Ignazio Ciufolini and published by World Scientific. This book was released on 2003 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a comprehensive overview of our understanding of gravity at both the experimental and the theoretical level. Critical reviews by experts cover topics ranging from astrophysics (anisotropies in the cosmic microwave background, gamma ray bursts, neutron stars and astroparticles), cosmology, the status of gravitational wave sources and detectors, verification of Newton's law at short distances, the equivalence principle, gravito-magnetism, measurement theory, time machines and the foundations of Einstein's theory, to string theory and loop quantum gravity.

2001: A Relativistic Spacetime Odyssey: Experiments And Theoretical Viewpoints On General Relativity And Quantum Gravity - Proceedings Of The 25th Johns Hopkins Workshop On Current Problems In Particle Theory

Download 2001: A Relativistic Spacetime Odyssey: Experiments And Theoretical Viewpoints On General Relativity And Quantum Gravity - Proceedings Of The 25th Johns Hopkins Workshop On Current Problems In Particle Theory PDF Online Free

Author : Ignazio Ciufolini
Publisher : World Scientific
ISBN 13 : 9814487988
Total Pages : 525 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis 2001: A Relativistic Spacetime Odyssey: Experiments And Theoretical Viewpoints On General Relativity And Quantum Gravity - Proceedings Of The 25th Johns Hopkins Workshop On Current Problems In Particle Theory by : Ignazio Ciufolini

Download or read book 2001: A Relativistic Spacetime Odyssey: Experiments And Theoretical Viewpoints On General Relativity And Quantum Gravity - Proceedings Of The 25th Johns Hopkins Workshop On Current Problems In Particle Theory written by Ignazio Ciufolini and published by World Scientific. This book was released on 2003-01-16 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a comprehensive overview of our understanding of gravity at both the experimental and the theoretical level. Critical reviews by experts cover topics ranging from astrophysics (anisotropies in the cosmic microwave background, gamma ray bursts, neutron stars and astroparticles), cosmology, the status of gravitational wave sources and detectors, verification of Newton's law at short distances, the equivalence principle, gravito-magnetism, measurement theory, time machines and the foundations of Einstein's theory, to string theory and loop quantum gravity.

Mathematical Treks: From Surreal Numbers to Magic Circles

Author : Ivars Peterson
Publisher : American Mathematical Soc.
ISBN 13 : 1470458519
Total Pages : 187 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematical Treks: From Surreal Numbers to Magic Circles by : Ivars Peterson

Download or read book Mathematical Treks: From Surreal Numbers to Magic Circles written by Ivars Peterson and published by American Mathematical Soc.. This book was released on 2020-08-03 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Last Theorem

Author : Arthur C. Clarke
Publisher : HarperCollins UK
ISBN 13 : 0007308140
Total Pages : 23 pages
Book Rating : 4.0/5 (73 download)

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Book Synopsis The Last Theorem by : Arthur C. Clarke

Download or read book The Last Theorem written by Arthur C. Clarke and published by HarperCollins UK. This book was released on 2008-12-07 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: The final work from the brightest star in science fiction’s galaxy. Arthur C Clarke, who predicted the advent of communication satellites and author of 2001: A Space Odyssey completes a lifetime career in science fiction with a masterwork.

The Number Mysteries

Author : Marcus du Sautoy
Publisher : St. Martin's Press
ISBN 13 : 0230120288
Total Pages : 273 pages
Book Rating : 4.2/5 (31 download)

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Book Synopsis The Number Mysteries by : Marcus du Sautoy

Download or read book The Number Mysteries written by Marcus du Sautoy and published by St. Martin's Press. This book was released on 2011-05-24 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every time we download music, take a flight across the Atlantic or talk on our cell phones, we are relying on great mathematical inventions. In The Number Mysteries, one of our generation's foremost mathematicians Marcus du Sautoy offers a playful and accessible examination of numbers and how, despite efforts of the greatest minds, the most fundamental puzzles of nature remain unsolved. Du Sautoy tells about the quest to predict the future—from the flight of asteroids to an impending storm, from bending a ball like Beckham to forecasting population growth. He brings to life the beauty behind five mathematical puzzles that have contributed to our understanding of the world around us and have helped develop the technology to cope with it. With loads of games to play and puzzles to solve, this is a math book for everyone.

The Best Writing on Mathematics 2016

Author : Mircea Pitici
Publisher : Princeton University Press
ISBN 13 : 1400885604
Total Pages : 402 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Best Writing on Mathematics 2016 by : Mircea Pitici

Download or read book The Best Writing on Mathematics 2016 written by Mircea Pitici and published by Princeton University Press. This book was released on 2017-02-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year's finest mathematics writing from around the world This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2016 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Burkard Polster shows how to invent your own variants of the Spot It! card game, Steven Strogatz presents young Albert Einstein's proof of the Pythagorean Theorem, Joseph Dauben and Marjorie Senechal find a treasure trove of math in New York's Metropolitan Museum of Art, and Andrew Gelman explains why much scientific research based on statistical testing is spurious. In other essays, Brian Greene discusses the evolving assumptions of the physicists who developed the mathematical underpinnings of string theory, Jorge Almeida examines the misperceptions of people who attempt to predict lottery results, and Ian Stewart offers advice to authors who aspire to write successful math books for general readers. And there's much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

Technology and Mathematics

Author : Sven Ove Hansson
Publisher : Springer
ISBN 13 : 3319937790
Total Pages : 373 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Technology and Mathematics by : Sven Ove Hansson

Download or read book Technology and Mathematics written by Sven Ove Hansson and published by Springer. This book was released on 2018-10-24 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first extensive study of the historical and philosophical connections between technology and mathematics. Coverage includes the use of mathematics in ancient as well as modern technology, devices and machines for computation, cryptology, mathematics in technological education, the epistemology of computer-mediated proofs, and the relationship between technological and mathematical computability. The book also examines the work of such historical figures as Gottfried Wilhelm Leibniz, Charles Babbage, Ada Lovelace, and Alan Turing.

Scalar, Vector, and Matrix Mathematics

Author : Dennis S. Bernstein
Publisher : Princeton University Press
ISBN 13 : 1400888255
Total Pages : 1594 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Scalar, Vector, and Matrix Mathematics by : Dennis S. Bernstein

Download or read book Scalar, Vector, and Matrix Mathematics written by Dennis S. Bernstein and published by Princeton University Press. This book was released on 2018-02-27 with total page 1594 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematics Since its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject. Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more. Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. Fully updated and expanded with new material on scalar and vector mathematics Covers the latest results in matrix theory Provides a list of symbols and a summary of conventions for easy and precise use Includes an extensive bibliography with back-referencing plus an author index

Africa and Mathematics

Author : Dirk Huylebrouck
Publisher : Springer
ISBN 13 : 3030040372
Total Pages : 235 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Africa and Mathematics by : Dirk Huylebrouck

Download or read book Africa and Mathematics written by Dirk Huylebrouck and published by Springer. This book was released on 2019-03-30 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume on ethnomathematics in Central Africa fills a gap in the current literature, focusing on a region rarely explored by other publications. It highlights the discovery of the Ishango rod, which was found to be the oldest mathematical tool in humanity's history, thereby shifting the origin of mathematics to the heart of Africa, and explores the different scientific hypotheses that emerged as a result. While it contains some high-level mathematics, the non-mathematical reader can easily skip these portions and enjoy the book’s survey of African history, culture, and art.

Convexity from the Geometric Point of View

Author : Vitor Balestro
Publisher : Springer Nature
ISBN 13 : 3031505077
Total Pages : 1195 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Convexity from the Geometric Point of View by : Vitor Balestro

Download or read book Convexity from the Geometric Point of View written by Vitor Balestro and published by Springer Nature. This book was released on with total page 1195 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Historical Encyclopedia of Natural and Mathematical Sciences

Author : Ari Ben-Menahem
Publisher : Springer Science & Business Media
ISBN 13 : 3540688315
Total Pages : 6070 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Historical Encyclopedia of Natural and Mathematical Sciences by : Ari Ben-Menahem

Download or read book Historical Encyclopedia of Natural and Mathematical Sciences written by Ari Ben-Menahem and published by Springer Science & Business Media. This book was released on 2009-03-06 with total page 6070 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 5,800-page encyclopedia surveys 100 generations of great thinkers, offering more than 2,000 detailed biographies of scientists, engineers, explorers and inventors who left their mark on the history of science and technology. This six-volume masterwork also includes 380 articles summarizing the time-line of ideas in the leading fields of science, technology, mathematics and philosophy.

Proofs Without Words III

Author : Roger B. Nelsen
Publisher : American Mathematical Soc.
ISBN 13 : 0883857901
Total Pages : 205 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis Proofs Without Words III by : Roger B. Nelsen

Download or read book Proofs Without Words III written by Roger B. Nelsen and published by American Mathematical Soc.. This book was released on 2015-12-31 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proofs without words (PWWs) are figures or diagrams that help the reader see why a particular mathematical statement is true, and how one might begin to formally prove it true. PWWs are not new, many date back to classical Greece, ancient China, and medieval Europe and the Middle East. PWWs have been regular features of the MAA journals Mathematics Magazine and The College Mathematics Journal for many years, and the MAA published the collections of PWWs Proofs Without Words: Exercises in Visual Thinking in 1993 and Proofs Without Words II: More Exercises in Visual Thinking in 2000. This book is the third such collection of PWWs.

Personalism and Mathematics as Women's Personifestoes

Author : Dr. Patrick ODougherty
Publisher : Lulu.com
ISBN 13 : 1387641794
Total Pages : 220 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Personalism and Mathematics as Women's Personifestoes by : Dr. Patrick ODougherty

Download or read book Personalism and Mathematics as Women's Personifestoes written by Dr. Patrick ODougherty and published by Lulu.com. This book was released on 2018-03-05 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Personalism is the philosophy of the integrity of the person in all dimension. Dignity is part of the identity of the person. Skin color relates to integrity. Economic stability relates to a stable relationship. The integrity of the person also has a descriptive mathematical matrix dimension. The 4 principles of algebra the commutative, The associative and distributive and the inverse laws of mathematics chart the person in mapping and relationship. The pershoohood of Personalism counters the personhood of the corpiration, The body and person have a mystical solidarity dimension that is also incomensurable. Enter the web and bridge of the person with your narrative.