Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Proof By Nine PDF full book. Access full book title The Proof By Nine by Denise Bonhomme. Download full books in PDF and EPUB format.
Author: Denise Bonhomme Publisher: Xlibris Corporation ISBN: 1462808220 Category : Body, Mind & Spirit Languages : en Pages : 173
Book Description
If you have read and loved The Little Prince and if you like riddles, this book will probably interest you. What is the meaning of the “magnificent image” at the beginning of the first chapter? Most readers do not find it magnificent at all. Yet, those who know that “the essential is invisible to the eyes” see it as an invitation to think and to learn. The “hat” featured on the same page which actually is something else conveys another hint to look beyond appearance. As you read The Proof by Nine, you will see what is represented by the Virgin Forest mentioned on the first page of The Little Prince. You will grasp the meanings of the pilot, the little prince, the golden muffler of the title character and of the wonderful “fox.” You will see what the “children” really are. The war waged by “sheep” against the “rose” will make profound sense. You will recognize the universal symbols of the tree, the rope, the wheel and the well of science. You will be edified by the experience of the Turkish astronomer. You will observe how all that is relevant to current events and politics for, as stated by the author of The Proof by Nine, “all those things are connected.” You might even ask yourself an exciting question: “Did Saint-Exupéry see the future?” That is why The Little Prince is, in the final words of its author “so very important.”
Author: Denise Bonhomme Publisher: Xlibris Corporation ISBN: 1462808220 Category : Body, Mind & Spirit Languages : en Pages : 173
Book Description
If you have read and loved The Little Prince and if you like riddles, this book will probably interest you. What is the meaning of the “magnificent image” at the beginning of the first chapter? Most readers do not find it magnificent at all. Yet, those who know that “the essential is invisible to the eyes” see it as an invitation to think and to learn. The “hat” featured on the same page which actually is something else conveys another hint to look beyond appearance. As you read The Proof by Nine, you will see what is represented by the Virgin Forest mentioned on the first page of The Little Prince. You will grasp the meanings of the pilot, the little prince, the golden muffler of the title character and of the wonderful “fox.” You will see what the “children” really are. The war waged by “sheep” against the “rose” will make profound sense. You will recognize the universal symbols of the tree, the rope, the wheel and the well of science. You will be edified by the experience of the Turkish astronomer. You will observe how all that is relevant to current events and politics for, as stated by the author of The Proof by Nine, “all those things are connected.” You might even ask yourself an exciting question: “Did Saint-Exupéry see the future?” That is why The Little Prince is, in the final words of its author “so very important.”
Author: Richard H. Hammack Publisher: ISBN: 9780989472111 Category : Mathematics Languages : en Pages : 314
Book Description
This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
Author: Kevin Roose Publisher: Hachette UK ISBN: 152930475X Category : Technology & Engineering Languages : en Pages : 256
Book Description
A New York Times bestselling author and tech columnist's counter-intuitive guide to staying relevant - and employable - in the machine age by becoming irreplaceably human. It's not a future scenario any more. We've been taught that to compete with automation and AI, we'll have to become more like the machines themselves, building up technical skills like coding. But, there's simply no way to keep up. What if all the advice is wrong? And what do we need to do instead to become futureproof? We tend to think of automation as a blue-collar phenomenon that will affect truck drivers, factory workers, and other people with repetitive manual jobs. But it's much, much broader than that. Lawyers are being automated out of existence. Last year, JPMorgan Chase built a piece of software called COIN, which uses machine learning to review complicated contracts and documents. It used to take the firm's lawyers more than 300,000 hours every year to review all of those documents. Now, it takes a few seconds, and requires just one human to run the program. Doctors are being automated out of existence, too. Last summer, a Chinese tech company built a deep learning algorithm that diagnosed brain cancer and other diseases faster and more accurately than a team of 15 top Chinese doctors. Kevin Roose has spent the past few years studying the question of how people, communities, and organisations adapt to periods of change, from the Industrial Revolution to the present. And the insight that is sweeping through Silicon Valley as we speak -- that in an age dominated by machines, it's human skills that really matter - is one of the more profound and counter-intuitive ideas he's discovered. It's the antidote to the doom-and-gloom worries many people feel when they think about AI and automation. And it's something everyone needs to hear. In nine accessible, prescriptive chapters, Roose distills what he has learned about how we will survive the future, that the way to become futureproof is to become incredibly, irreplaceably human.
Author: John Stillwell Publisher: Princeton University Press ISBN: 0691234361 Category : Mathematics Languages : en Pages : 456
Book Description
How the concept of proof has enabled the creation of mathematical knowledge The Story of Proof investigates the evolution of the concept of proof—one of the most significant and defining features of mathematical thought—through critical episodes in its history. From the Pythagorean theorem to modern times, and across all major mathematical disciplines, John Stillwell demonstrates that proof is a mathematically vital concept, inspiring innovation and playing a critical role in generating knowledge. Stillwell begins with Euclid and his influence on the development of geometry and its methods of proof, followed by algebra, which began as a self-contained discipline but later came to rival geometry in its mathematical impact. In particular, the infinite processes of calculus were at first viewed as “infinitesimal algebra,” and calculus became an arena for algebraic, computational proofs rather than axiomatic proofs in the style of Euclid. Stillwell proceeds to the areas of number theory, non-Euclidean geometry, topology, and logic, and peers into the deep chasm between natural number arithmetic and the real numbers. In its depths, Cantor, Gödel, Turing, and others found that the concept of proof is ultimately part of arithmetic. This startling fact imposes fundamental limits on what theorems can be proved and what problems can be solved. Shedding light on the workings of mathematics at its most fundamental levels, The Story of Proof offers a compelling new perspective on the field’s power and progress.
Author: Gila Hanna Publisher: Springer Science & Business Media ISBN: 9400721293 Category : Education Languages : en Pages : 468
Book Description
*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.
Author: Philip Ording Publisher: Princeton University Press ISBN: 0691218978 Category : Mathematics Languages : en Pages : 272
Book Description
An exploration of mathematical style through 99 different proofs of the same theorem This book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles that range from Medieval, Topological, and Doggerel to Chromatic, Electrostatic, and Psychedelic. With a rare blend of humor and scholarly aplomb, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathematics. Inspired by the experiments of the Paris-based writing group known as the Oulipo—whose members included Raymond Queneau, Italo Calvino, and Marcel Duchamp—Ording explores new ways to examine the aesthetic possibilities of mathematical activity. 99 Variations on a Proof is a mathematical take on Queneau’s Exercises in Style, a collection of 99 retellings of the same story, and it draws unexpected connections to everything from mysticism and technology to architecture and sign language. Through diagrams, found material, and other imagery, Ording illustrates the flexibility and creative potential of mathematics despite its reputation for precision and rigor. Readers will gain not only a bird’s-eye view of the discipline and its major branches but also new insights into its historical, philosophical, and cultural nuances. Readers, no matter their level of expertise, will discover in these proofs and accompanying commentary surprising new aspects of the mathematical landscape.
Author: Gila Hanna Publisher: Springer Science & Business Media ISBN: 1441905766 Category : Education Languages : en Pages : 289
Book Description
In the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has been paid to the process of proof and argumentation in the field -- a development paralleled by the rise of computer technology and the mounting interest in the logical underpinnings of mathematics. Explanantion and Proof in Mathematics assembles perspectives from mathematics education and from the philosophy and history of mathematics to strengthen mutual awareness and share recent findings and advances in their interrelated fields. With examples ranging from the geometrists of the 17th century and ancient Chinese algorithms to cognitive psychology and current educational practice, contributors explore the role of refutation in generating proofs, the varied links between experiment and deduction, the use of diagrammatic thinking in addition to pure logic, and the uses of proof in mathematics education (including a critique of "authoritative" versus "authoritarian" teaching styles). A sampling of the coverage: The conjoint origins of proof and theoretical physics in ancient Greece. Proof as bearers of mathematical knowledge. Bridging knowing and proving in mathematical reasoning. The role of mathematics in long-term cognitive development of reasoning. Proof as experiment in the work of Wittgenstein. Relationships between mathematical proof, problem-solving, and explanation. Explanation and Proof in Mathematics is certain to attract a wide range of readers, including mathematicians, mathematics education professionals, researchers, students, and philosophers and historians of mathematics.
Author: Bartel L. van der Waerden Publisher: Springer Science & Business Media ISBN: 3642617794 Category : Mathematics Languages : en Pages : 236
Book Description
Originally, my intention was to write a "History of Algebra", in two or three volumes. In preparing the first volume I saw that in ancient civiliza tions geometry and algebra cannot well be separated: more and more sec tions on ancient geometry were added. Hence the new title of the book: "Geometry and Algebra in Ancient Civilizations". A subsequent volume on the history of modem algebra is in preparation. It will deal mainly with field theory, Galois theory and theory of groups. I want to express my deeply felt gratitude to all those who helped me in shaping this volume. In particular, I want to thank Donald Blackmore Wagner (Berkeley) who put at my disposal his English translation of the most interesting parts of the Chinese "Nine Chapters of the Art of Arith metic" and of Liu Hui's commentary to this classic, and also Jacques Se siano (Geneva), who kindly allowed me to use his translation of the re cently discovered Arabic text of four books of Diophantos not extant in Greek. Warm thanks are also due to Wyllis Bandler (Colchester, England) who read my English text very carefully and suggested several improve ments, and to Annemarie Fellmann (Frankfurt) and Erwin Neuenschwan der (Zurich) who helped me in correcting the proof sheets. Miss Fellmann also typed the manuscript and drew the figures. I also want to thank the editorial staff and production department of Springer-Verlag for their nice cooperation.
Author: Denise Bonhomme
Author: Denise Bonhomme
Author: Richard H. Hammack
Author: Kevin Roose
Author: John Stillwell
Author: Gila Hanna
Author: Philip Ording
Author: 
Author: Gila Hanna
Author: Bartel L. van der Waerden
Author: Pablo Picasso