#### Roger L. Cooke The History of Mathematics

Praise for the Second Edition «An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential.» —CHOICE This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed. Aimed primarily at undergraduate students studying the history of mathematics for science, engineering, and secondary education, the book focuses on three main ideas: the facts of who, what, when, and where major advances in mathematics took place; the type of mathematics involved at the time; and the integration of this information into a coherent picture of the development of mathematics. In addition, the book features carefully designed problems that guide readers to a fuller understanding of the relevant mathematics and its social and historical context. Chapter-end exercises, numerous photographs, and a listing of related websites are also included for readers who wish to pursue a specialized topic in more depth. Additional features of The History of Mathematics, Third Edition include: Material arranged in a chronological and cultural context Specific parts of the history of mathematics presented as individual lessons New and revised exercises ranging between technical, factual, and integrative Individual PowerPoint presentations for each chapter and a bank of homework and test questions (in addition to the exercises in the book) An emphasis on geography, culture, and mathematics In addition to being an ideal coursebook for undergraduate students, the book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the history of mathematics.

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Подробнее#### Michael K. J. Goodman An Introduction to the Early Development of Mathematics

An easy-to-read presentation of the early history of mathematics Engaging and accessible, An Introduction to the Early Development of Mathematics provides a captivating introduction to the history of ancient mathematics in early civilizations for a nontechnical audience. Written with practical applications in a variety of areas, the book utilizes the historical context of mathematics as a pedagogical tool to assist readers working through mathematical and historical topics. The book is divided into sections on significant early civilizations including Egypt, Babylonia, China, Greece, India, and the Islamic world. Beginning each chapter with a general historical overview of the civilized area, the author highlights the civilization’s mathematical techniques, number representations, accomplishments, challenges, and contributions to the mathematical world. Thoroughly class-tested, An Introduction to the Early Development of Mathematics features: Challenging exercises that lead readers to a deeper understanding of mathematics Numerous relevant examples and problem sets with detailed explanations of the processes and solutions at the end of each chapter Additional references on specific topics and keywords from history, archeology, religion, culture, and mathematics Examples of practical applications with step-by-step explanations of the mathematical concepts and equations through the lens of early mathematical problems A companion website that includes additional exercises An Introduction to the Early Development of Mathematics is an ideal textbook for undergraduate courses on the history of mathematics and a supplement for elementary and secondary education majors. The book is also an appropriate reference for professional and trade audiences interested in the history of mathematics. Michael K. J. Goodman is Adjunct Mathematics Instructor at Westchester Community College, where he teaches courses in the history of mathematics, contemporary mathematics, and algebra. He is also the owner and operator of The Learning Miracle, LLC, which provides academic tutoring and test preparation for both college and high school students.

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Подробнее#### Donald Bindner Mathematics for the Liberal Arts

Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application of mathematics in everyday life. Divided into two parts, Mathematics for the Liberal Arts first traces the history of mathematics from the ancient world to the Middle Ages, then moves on to the Renaissance and finishes with the development of modern mathematics. In the second part, the book explores major topics of calculus and number theory, including problem-solving techniques and real-world applications. This book emphasizes learning through doing, presents a practical approach, and features: A detailed explanation of why mathematical principles are true and how the mathematical processes work Numerous figures and diagrams as well as hundreds of worked examples and exercises, aiding readers to further visualize the presented concepts Various real-world practical applications of mathematics, including error-correcting codes and the space shuttle program Vignette biographies of renowned mathematicians Appendices with solutions to selected exercises and suggestions for further reading Mathematics for the Liberal Arts is an excellent introduction to the history and concepts of mathematics for undergraduate liberal arts students and readers in non-scientific fields wishing to gain a better understanding of mathematics and mathematical problem-solving skills.

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Подробнее#### Brian Evans The Development of Mathematics Throughout the Centuries

Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book: Highlights the contributions made by various world cultures including African, Egyptian, Babylonian, Chinese, Indian, Islamic, and pre-Columbian American mathematics Features an approach that is not too rigorous and is ideal for a one-semester course of the history of mathematics. Includes a Resources and Recommended Reading section for further exploration and has been extensively classroom-tested

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Подробнее#### Carl Boyer B. A History of Mathematics

The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.

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Подробнее#### Steven Cooke The Interior of Our Memories

A history of the Melbourne Jewish Holocaust Centre, one of the earliest permanent memorial museums which was set up in 1984 by survivors of the Holocaust. The book provides a history of the Centre's early days and examines its transformation from a collection of artefacts into an organisation that focuses on exhibitions, remembrance and education.<br />

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Подробнее#### Timothy D. Kanold Balancing the Equation

Copublished with the National Council of Teachers of Mathematics, this book focuses on individuals involved in K–12 mathematics education who seek to help children achieve success. The authors tackle popular misconceptions and misguided discourse about mathematics education and draw on peer-reviewed research about instruction that can significantly improve students’ conceptual understanding. Benefits Explore reasons why expectations for mathematics teaching and learning must be raised. Study the history of the progression, changes, and disputes in K–12 mathematics education. Discover insights about mathematics education in an era of mathematics reform. Define mathematical literacy and what elements are part of effective mathematics instruction. Learn the steps that must be taken to support the teaching and learning of mathematics so all students can be college and career ready. Contents Introduction Why Mathematics Education Needs to Improve A Brief History of Mathematics Education: Lessons to Learn The Equilibrium Position and Effective Mathematics Instruction How to Help Your Child Learn Mathematics Conclusion and Action Steps for Educators and Parents Epilogue: Conclusion and Action Steps for Educators and Parents Appendix: Additional Resources for Parents

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Подробнее#### Roger Collins Caliphs and Kings. Spain, 796-1031

Roger Collins, a leading historian, investigates a time in Spanish history known for its multi-religious society – when Christians, Jews and Muslims lived in apparent harmony – revealing a fuller, more complex picture of this fascinating period. Presents new ideas and interpretations of a fascinating yet much misunderstood period of Spanish and Islamic history A broad and complex treatment of the tenure of the Umayyad dynasty in Spain Debunks myths and investigates the historiography of existing scholarship of the period

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Подробнее#### Roger Collins Caliphs and Kings. Spain, 796-1031

Roger Collins, a leading historian, investigates a time in Spanish history known for its multi-religious society – when Christians, Jews and Muslims lived in apparent harmony – revealing a fuller, more complex picture of this fascinating period. Presents new ideas and interpretations of a fascinating yet much misunderstood period of Spanish and Islamic history A broad and complex treatment of the tenure of the Umayyad dynasty in Spain Debunks myths and investigates the historiography of existing scholarship of the period

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Подробнее#### Группа авторов The History of Mathematics

This new edition brings the fascinating and intriguing history of mathematics to life The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare how different cultures approached each topic. Many new photographs and diagrams have been added to this edition to enhance the presentation. The text is divided into seven parts: The World of Mathematics and the Mathematics of the World, including the origin and prehistory of mathematics, cultural surveys, and women mathematicians Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics on civilizations from Egypt to Japan to Mexico to modern Europe Space, including measurement, Euclidean geometry, post-Euclidean geometry, and modern geometrics Algebra, including problems leading to algebra, equations and methods, and modern algebra Analysis, including the calculus, real, and complex analysis Mathematical Inference, including probability and statistics, and logic and set theory As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology. The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.

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Подробнее#### Trotsky L. History of the Russian Revolution

Regarded by many as among the most powerful works of history ever written, The History of the Russian Revolution offers an unparalleled account of one of the most pivotal and hotly debated events in world history. This book presents, from the perspective of one of its central actors, the profound liberating character of the early Russian Revolution. Originally published in three parts, Trotsky`s masterpiece is collected here in a single volume. It is still the most vital and inspiring record of the Russian Revolution ever published.

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Подробнее#### Dmitry A. Balalykin Galen on Apodictics

This book is dedicated to one of the topical issues of the history and philosophy of medicine—the analysis of the research method of Galen of Pergamon, an outstanding physician of Antiquity (2nd century AD). Galen's works, on the one hand, were the outcome of the Hippocratic tradition and its development in medicine for more than 500 years and, on the other hand, have determined the further development of medical theory and practice up to the Scientific Revolution in the 17th–19th centuries.

Dmitry A. Balalykin argues that Galen used the apodictic method in the analysis of the phenomena of medical theory and practice. The application of the concept of “apodictics” in relation to the events in the history of medicine is still debatable, although there is no doubt about the use of this term towards, for example, the history of mathematics. The author analyzes a significant amount of sources, researching the development of the apodictic method in medicine before Galen and pointing to those key innovations that were applied by him. The synthesis of the philosophical theory of clinical practice in the works of the great physician of Antiquity is the prime focus of this book. It is intended for scholars who deal with various issues of the history and philosophy of the natural sciences, primarily medicine, and also a wide readership interested in the history of Antiquity and the history of science.

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Подробнее#### Roger De Félice The Furniture of the Middle Ages

Contained within this antique book is concise yet detailed discussion on the furniture of the Middle Ages, written by Roger De Felice. Containing comments on the little-known history, development, and influences of furniture throughout this dark period of our past, this text will greatly appeal to those with a keen interest in the history of furniture and it makes for a worthy addition to collections of historical furniture literature. Many antique texts such as this are increasingly costly and rare, and it is with this in mind that we are proud to republish this book now complete with a new introduction on the history of furniture.

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Подробнее#### Alexey Stakhov Mathematics of Harmony as a New Interdisciplinary Direction and “Golden” Paradigm of Modern Science

Volume III is the third part of the 3-volume book Mathematics of Harmony as a New Interdisciplinary Direction and 'Golden' Paradigm of Modern Science. 'Mathematics of Harmony' rises in its origin to the 'harmonic ideas' of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the 'Universe Harmony,' the main conception of ancient Greek science, and implementation of this conception to modern science and education.This 3-volume book is a result of the authors' 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 'Mathematics of Harmony,' a new interdisciplinary direction of modern science. This direction 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 generalized Binet's formulas), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational bases, Fibonacci computers, ternary mirror-symmetrical arithmetic).The books are 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.<b>Contents:</b> <ul><li>Mathematics of Harmony as a Prerequisite for the 'Golden' Revolution in Mathematics and Computer Science</li><li>The 'Golden' Hyperbolic Functions as the 'Golden' Paradigm Shift to the 'Golden' Non-Euclidean Geometry</li><li>Applications of the Symmetric Hyperbolic Fibonacci and Lucas Functions</li><li>Theory of Fibonacci and Lucas λ-Numbers and Its Applications</li><li>Hilbert Problems: General Information</li><li>Beauty and Aesthetics of Harmony Mathematics</li><li>Epilogue</li></ul> remove <p><b>Sample Chapter(s)</b><br><a href='http://www.worldscientific.com/doi/suppl/10.1142/11645/suppl_file/11645_preface.pdf'>Preface to the Three-Volume Book</a><br><a href='http://www.worldscientific.com/doi/suppl/10.1142/11645/suppl_file/11645_intro.pdf'>Introduction</a><br><a href='http://www.worldscientific.com/doi/pdf/10.1142/9789811213502_0001'>Chapter 1. Mathematics of Harmony as a Prerequisite for the 'Golden' Revolution in Mathematics and Computer Science</a><br><br></p> /remove <br><b>Readership:</b> High school, college and university students, teachers, professionals, scientists and investors interested in history of mathematics, Fibonacci numbers, golden section and their generalization.Babylonian Numeral System;Golden Section;Platonic Solids;Pythagoreanism and Pythagorean Mathem's;Classical Mathematics;Mathematics of Harmony;“Golden” Paradigm;Fibonacci Numbers;Philosophy0<b>Key Features:</b><ul><li>The present 3-volume book will promote to the implementation of these «harmonic ideas» into modern science and education</li><li>Will lead to more deep understanding of the ancient conception of the «Universe Harmony,»</li><li>The creation of the «harmonious» society of the future</li></ul>

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Подробнее#### Alexey Stakhov Mathematics of Harmony as a New Interdisciplinary Direction and “Golden” Paradigm of Modern Science

Volume II is the second part of the 3-volume book Mathematics of Harmony as a New Interdisciplinary Direction and 'Golden' Paradigm of Modern Science. 'Mathematics of Harmony' rises in its origin to the 'harmonic ideas' of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the 'Universe Harmony,' the main conception of ancient Greek science, and implementation of this conception to modern science and education.This 3-volume book is a result of the authors' 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 'Mathematics of Harmony,' a new interdisciplinary direction of modern science. This direction 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 generalized Binet's formulas), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational bases, Fibonacci computers, ternary mirror-symmetrical arithmetic).The books are 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.<b>Contents:</b> <ul><li>Foundations of the Constructive (Algorithmic) Measurement Theory</li><li>Principle of Asymmetry of Measurement and Fibonacci Algorithms of Measurement</li><li>Evolution of Numeral Systems</li><li>Bergman's System and 'Golden' Number Theory</li><li>The 'Golden' Ternary Mirror-Symmetrical Arithmetic</li><li>Fibonacci <i>p</i>-Codes and Fibonacci Arithmetic for Mission-Critical Applications</li><li>Codes of the Golden <i>p</i>-Proportions</li></ul><br><b>Readership:</b> High school, college and university students, teachers, professionals, scientists and investors interested in history of mathematics, Fibonacci numbers, golden section and their generalization.Babylonian Numeral System;Golden Section;Platonic Solids;Pythagoreanism And Pythagorean Mathem's;Classical Mathematics;Mathematics of Harmony;“Golden” Paradigm;Fibonacci Numbers;Philosophy0<b>Key Features:</b><ul><li>In the world literature there is only one book, devoted to the «Mathematics of Harmony»</li><li>Scornful attitude towards the «school» and applied arithmetic and its problems</li><li>Can serve as the explanation of the fact why in the number theory attention was not given to numeral systems</li><li>The great interest was again shown to the methods of the representation of numbers and new computer arithmetic</li><li>The ternary computer «Setun», designed by the Russian engineer Nikolay Brousentsov on the basis of the ternary system, was the brightest example</li><li>Mathematics again returned to the period of its origin, when the numeral systems were as one of the main subjects of the ancient mathematics</li></ul>

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Подробнее#### Arthur Mazer Shifting the Earth. The Mathematical Quest to Understand the Motion of the Universe

Discover how mathematics and science have propelled history From Ancient Greece to the Enlightenment and then on to modern times, Shifting the Earth: The Mathematical Quest to Understand the Motion of the Universe takes readers on a journey motivated by the desire to understand the universe and the motion of the heavens. The author presents a thought-provoking depiction of the sociopolitical environment in which some of the most prominent scientists in history lived and then provides a mathematical account of their contributions. From Eudoxus to Einstein, this fascinating book describes how, beginning in ancient times, pioneers in the sciences and mathematics have dramatically changed our vision of who we are as well as our place in the universe. Readers will discover how Ptolemy's geocentric model evolved into Kepler's heliocentric model, with Copernicus as the critical intermediary. The author explains how one scientific breakthrough set the stage for the next one, and he also places the scientists and their discoveries within the context of history, including: Archimedes, Apollonius, and the Punic Wars Ptolemy and the rise of Christianity Copernicus and the Renaissance Kepler and the Counter-Reformation Newton and the Enlightenment Einstein and the detonation of the atom bomb Each chapter presents the work of a single scientist or mathematician, building on the previous chapters to demonstrate the evolutionary process of discovery. Chapters begin with a narrative section and conclude with a mathematical presentation of one of the scientist's original works. Most of these mathematical presentations, including the section on Einstein's special relativity, are accessible using only basic mathematics; however, readers can skip the mathematical sections and still follow the evolution of science and mathematics. Shifting the Earth is an excellent book for anyone interested in the history of mathematics and how the quest to understand the motion of the heavens has influenced the broader history of humankind.

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Подробнее#### Michael O'Leary L. Revolutions of Geometry

Guides readers through the development of geometry and basic proof writing using a historical approach to the topic In an effort to fully appreciate the logic and structure of geometric proofs, Revolutions of Geometry places proofs into the context of geometry's history, helping readers to understand that proof writing is crucial to the job of a mathematician. Written for students and educators of mathematics alike, the book guides readers through the rich history and influential works, from ancient times to the present, behind the development of geometry. As a result, readers are successfully equipped with the necessary logic to develop a full understanding of geometric theorems. Following a presentation of the geometry of ancient Egypt, Babylon, and China, the author addresses mathematical philosophy and logic within the context of works by Thales, Plato, and Aristotle. Next, the mathematics of the classical Greeks is discussed, incorporating the teachings of Pythagoras and his followers along with an overview of lower-level geometry using Euclid's Elements. Subsequent chapters explore the work of Archimedes, Viete's revolutionary contributions to algebra, Descartes' merging of algebra and geometry to solve the Pappus problem, and Desargues' development of projective geometry. The author also supplies an excursion into non-Euclidean geometry, including the three hypotheses of Saccheri and Lambert and the near simultaneous discoveries of Lobachevski and Bolyai. Finally, modern geometry is addressed within the study of manifolds and elliptic geometry inspired by Riemann's work, Poncelet's return to projective geometry, and Klein's use of group theory to characterize different geometries. The book promotes the belief that in order to learn how to write proofs, one needs to read finished proofs, studying both their logic and grammar. Each chapter features a concise introduction to the presented topic, and chapter sections conclude with exercises that are designed to reinforce the material and provide readers with ample practice in writing proofs. In addition, the overall presentation of topics in the book is in chronological order, helping readers appreciate the relevance of geometry within the historical development of mathematics. Well organized and clearly written, Revolutions of Geometry is a valuable book for courses on modern geometry and the history of mathematics at the upper-undergraduate level. It is also a valuable reference for educators in the field of mathematics.

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Подробнее#### Roger Koppl From Crisis to Confidence

From Crisis to Confidence not only describes the process which the economy must go through before a full recovery after the financial crash, it also describes the journey that must be travelled by the discipline of economics. As economics students and other commentators question post-war macroeconomics, Roger Koppl provides some of the answers needed to understand the long slump since 2008. A theory of confidence is needed in any economic framework that is to explain one of the most important periods in modern economic history.

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