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Discoveries Numbers
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Book Synopsis From Great Discoveries in Number Theory to Applications by : Michal Křížek
Download or read book From Great Discoveries in Number Theory to Applications written by Michal Křížek and published by Springer Nature. This book was released on 2021-09-21 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of many interesting properties of natural numbers, demonstrating their applications in areas such as cryptography, geometry, astronomy, mechanics, computer science, and recreational mathematics. In particular, it presents the main ideas of error-detecting and error-correcting codes, digital signatures, hashing functions, generators of pseudorandom numbers, and the RSA method based on large prime numbers. A diverse array of topics is covered, from the properties and applications of prime numbers, some surprising connections between number theory and graph theory, pseudoprimes, Fibonacci and Lucas numbers, and the construction of Magic and Latin squares, to the mathematics behind Prague’s astronomical clock. Introducing a general mathematical audience to some of the basic ideas and algebraic methods connected with various types of natural numbers, the book will provide invaluable reading for amateurs and professionals alike.
Book Synopsis NUMBER SMART Quest for Discovery by :
Download or read book NUMBER SMART Quest for Discovery written by and published by Rex Bookstore, Inc.. This book was released on with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Pythagoras' Legacy by : Marcel Danesi
Download or read book Pythagoras' Legacy written by Marcel Danesi and published by Oxford University Press. This book was released on 2020-02-03 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the famous Pythagorean statement reads, 'Number rules the universe', and its veracity is proven in the many mathematical discoveries that have accelerated the development of science, engineering, and even philosophy. A so called "art of the mind", mathematics has guided and stimulated many aspects of human innovation down through the centuries. In this book, Marcel Danesi presents a historical overview of the ten greatest achievements in mathematics, and dynamically explores their importance and effects on our daily lives. Considered as a chain of events rather than isolated incidents, Danesi takes us from the beginnings of modern day mathematics with Pythagoras, through the concept of zero, right the way up to modern computational algorithms. Loaded with thought-provoking practical exercises and puzzles, Pythagoras' Legacy allows the reader to apply their knowledge and discover the significance of mathematics in their everyday lives.
Book Synopsis Wonders of Numbers by : Clifford A. Pickover
Download or read book Wonders of Numbers written by Clifford A. Pickover and published by Oxford University Press. This book was released on 2001-01-04 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: Who were the five strangest mathematicians in history? What are the ten most interesting numbers? Jam-packed with thought-provoking mathematical mysteries, puzzles, and games, Wonders of Numbers will enchant even the most left-brained of readers. Hosted by the quirky Dr. Googol--who resides on a remote island and occasionally collaborates with Clifford Pickover--Wonders of Numbers focuses on creativity and the delight of discovery. Here is a potpourri of common and unusual number theory problems of varying difficulty--each presented in brief chapters that convey to readers the essence of the problem rather than its extraneous history. Peppered throughout with illustrations that clarify the problems, Wonders of Numbers also includes fascinating "math gossip." How would we use numbers to communicate with aliens? Check out Chapter 30. Did you know that there is a Numerical Obsessive-Compulsive Disorder? You'll find it in Chapter 45. From the beautiful formula of India's most famous mathematician to the Leviathan number so big it makes a trillion look small, Dr. Googol's witty and straightforward approach to numbers will entice students, educators, and scientists alike to pick up a pencil and work a problem.
Book Synopsis The Mathematics of Harmony by : Alexey Stakhov
Download or read book The Mathematics of Harmony written by Alexey Stakhov and published by World Scientific. This book was released on 2009 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."
Book Synopsis The Whole Truth About Whole Numbers by : Sylvia Forman
Download or read book The Whole Truth About Whole Numbers written by Sylvia Forman and published by Springer. This book was released on 2015-01-02 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Whole Truth About Whole Numbers is an introduction to the field of Number Theory for students in non-math and non-science majors who have studied at least two years of high school algebra. Rather than giving brief introductions to a wide variety of topics, this book provides an in-depth introduction to the field of Number Theory. The topics covered are many of those included in an introductory Number Theory course for mathematics majors, but the presentation is carefully tailored to meet the needs of elementary education, liberal arts, and other non-mathematical majors. The text covers logic and proofs, as well as major concepts in Number Theory, and contains an abundance of worked examples and exercises to both clearly illustrate concepts and evaluate the students’ mastery of the material.
Book Synopsis Number Theory in Mathematics Education by : Rina Zazkis
Download or read book Number Theory in Mathematics Education written by Rina Zazkis and published by Routledge. This book was released on 2012-10-12 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers multiple interconnected perspectives on the largely untapped potential of elementary number theory for mathematics education: its formal and cognitive nature, its relation to arithmetic and algebra, its accessibility, its utility and intrinsic merits, to name just a few. Its purpose is to promote explication and critical dialogue about these issues within the international mathematics education community. The studies comprise a variety of pedagogical and research orientations by an international group of researchers that, collectively, make a compelling case for the relevance and importance of number theory in mathematics education in both pre K-16 settings and mathematics teacher education. Topics variously engaged include: *understanding particular concepts related to numerical structure and number theory; *elaborating on the historical and psychological relevance of number theory in concept development; *attaining a smooth transition and extension from pattern recognition to formative principles; *appreciating the aesthetics of number structure; *exploring its suitability in terms of making connections leading to aha! insights and reaching toward the learner's affective domain; *reexamining previously constructed knowledge from a novel angle; *investigating connections between technique and theory; *utilizing computers and calculators as pedagogical tools; and *generally illuminating the role number theory concepts could play in developing mathematical knowledge and reasoning in students and teachers. Overall, the chapters of this book highlight number theory-related topics as a stepping-stone from arithmetic toward generalization and algebraic formalism, and as a means for providing intuitively grounded meanings of numbers, variables, functions, and proofs. Number Theory in Mathematics Education: Perspectives and Prospects is of interest to researchers, teacher educators, and students in the field of mathematics education, and is well suited as a text for upper-level mathematics education courses.
Book Synopsis The Triumph of Numbers: How Counting Shaped Modern Life by : I. Bernard Cohen
Download or read book The Triumph of Numbers: How Counting Shaped Modern Life written by I. Bernard Cohen and published by W. W. Norton & Company. This book was released on 2006-07-17 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the pyramids to mortality tables, Galileo to Florence Nightingale, a vibrant history of numbers and the birth of statistics. The great historian of science I. B. Cohen explores how numbers have come to assume a leading role in science, in the operations and structure of government, in marketing, and in many other aspects of daily life. Consulting and collecting numbers has been a feature of human affairs since antiquity—taxes, head counts for military service—but not until the Scientific Revolution in the twelfth century did social numbers such as births, deaths, and marriages begin to be analyzed. Cohen shines a new light on familiar figures such as Thomas Jefferson, Benjamin Franklin, and Charles Dickens; and he reveals Florence Nightingale to be a passionate statistician. Cohen has left us with an engaging and accessible history of numbers, an appreciation of the essential nature of statistics.
Book Synopsis Necessity and Truthful Fictions by : Amihud Gilead
Download or read book Necessity and Truthful Fictions written by Amihud Gilead and published by BRILL. This book was released on 2009-01-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discovers areas and themes, especially in philosophical psychology, for novel observations and investigations, the diversity of which is systematically unified within the frame of the author’s original metaphysics, panenmentalism. The book demonstrates how by means of truthful fictions we may detect meaningful possibilities as well as their necessary relationships that otherwise could not be discovered.
Book Synopsis The Cult of Pythagoras by : Alberto A. Martinez
Download or read book The Cult of Pythagoras written by Alberto A. Martinez and published by University of Pittsburgh Press. This book was released on 2012-10-30 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this follow-up to his popular Science Secrets, Alberto A. Martinez discusses various popular myths from the history of mathematics: that Pythagoras proved the hypotenuse theorem, that Archimedes figured out how to test the purity of a gold crown while he was in a bathtub, that the Golden Ratio is in nature and ancient architecture, that the young Galois created group theory the night before the pistol duel that killed him, and more. Some stories are partly true, others are entirely false, but all show the power of invention in history. Pythagoras emerges as a symbol of the urge to conjecture and "fill in the gaps" of history. He has been credited with fundamental discoveries in mathematics and the sciences, yet there is nearly no evidence that he really contributed anything to such fields at all. This book asks: how does history change when we subtract the many small exaggerations and interpolations that writers have added for over two thousand years? The Cult of Pythagoras is also about invention in a positive sense. Most people view mathematical breakthroughs as "discoveries" rather than invention or creativity, believing that mathematics describes a realm of eternal ideas. But mathematicians have disagreed about what is possible and impossible, about what counts as a proof, and even about the results of certain operations. Was there ever invention in the history of concepts such as zero, negative numbers, imaginary numbers, quaternions, infinity, and infinitesimals? Martinez inspects a wealth of primary sources, in several languages, over a span of many centuries. By exploring disagreements and ambiguities in the history of the elements of mathematics, The Cult of Pythagoras dispels myths that obscure the actual origins of mathematical concepts. Martinez argues that an accurate history that analyzes myths reveals neglected aspects of mathematics that can encourage creativity in students and mathematicians.
Author :Thanaruk Theeramunkong Publisher :Springer Science & Business Media ISBN 13 :3642013066 Total Pages :1098 pages Book Rating :4.6/5 (42 download)
Book Synopsis Advances in Knowledge Discovery and Data Mining by : Thanaruk Theeramunkong
Download or read book Advances in Knowledge Discovery and Data Mining written by Thanaruk Theeramunkong and published by Springer Science & Business Media. This book was released on 2009-04-20 with total page 1098 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th Pacific-Asia Conference on Knowledge Discovery and Data Mining, PAKDD 2009, held in Bangkok, Thailand, in April 2009. The 39 revised full papers and 73 revised short papers presented together with 3 keynote talks were carefully reviewed and selected from 338 submissions. The papers present new ideas, original research results, and practical development experiences from all KDD-related areas including data mining, data warehousing, machine learning, databases, statistics, knowledge acquisition, automatic scientific discovery, data visualization, causal induction, and knowledge-based systems.
Book Synopsis The Nature and Growth of Modern Mathematics by : Edna Ernestine Kramer
Download or read book The Nature and Growth of Modern Mathematics written by Edna Ernestine Kramer and published by Princeton University Press. This book was released on 1982 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.
Book Synopsis The New and Complete American Encyclopedia by :
Download or read book The New and Complete American Encyclopedia written by and published by . This book was released on 1810 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Discoveries in Medicine that Changed the World by : Rose Johnson
Download or read book Discoveries in Medicine that Changed the World written by Rose Johnson and published by The Rosen Publishing Group, Inc. This book was released on 2014-12-15 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few know the stories behind some of the biggest discoveries in medicine made throughout history. The first-known surgeries in ancient India, the accidental discovery of antibiotics by a Scottish bacteriologist, and contemporary techniques such as in vitro fertilization are all covered in this neatly organized, vivid text that guides readers through a chronologically ordered history of medical breakthroughs. Biographical sidebars narrate the lives of the bright minds behind these breakthroughs, and a succinct timeline summarizes their findings for readers. Do not miss this chance to explore the medical discoveries that changed the world.
Book Synopsis Discovering Math for Global Learners 2 by :
Download or read book Discovering Math for Global Learners 2 written by and published by Rex Bookstore, Inc.. This book was released on with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Discoveries in Earth and Space Science that Changed the World by : Rose Johnson
Download or read book Discoveries in Earth and Space Science that Changed the World written by Rose Johnson and published by The Rosen Publishing Group, Inc. This book was released on 2014-12-15 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students often take for granted that many of the basic principles of science we study today were once major discoveries that revolutionized the way humans view our planet (not to mention the universe around it!). In this photograph-packed history of major discoveries in Earth and space science, a chronological tour guides readers through the historical progression of how scientists viewed the world. Biographies of key figures—coupled with fact boxes and sidebars that highlight the later implications of each discovery—make this book a fascinating voyage for both science-lovers and laypeople alike.
Download or read book The Literate Mind written by Andy Wells and published by Bloomsbury Publishing. This book was released on 2017-09-16 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Literacy is about 5,000 years old. Since it was invented it has transformed human societies and knowledge fundamentally. Indeed, civilisation is built on literacy. What is it about the process of making marks on paper or other surfaces that gives literacy this remarkable power? 'The Literate Mind: A Study of Its Scope and Limitations' proposes that the evolved, pre-literate qualities of the human mind combined with the representational capacities of alphabets and other symbol systems provide uniquely powerful means for the generation and storage of knowledge. The creation, storage and sharing of texts augment the social and cognitive capacities of human minds and allow us to develop social institutions within which further new knowledge can be deployed and used. Taking an approach that is equally applicable to print and digital media, the book draws on evolutionary theory and the theory of computation to explain the remarkable power of literacy and its transformational effects on human society and knowledge. It demonstrates that the universe of possible texts is infinite in extent, and proposes that the combination of a reader and a text can be treated as an ecosystem of unlimited scope.
