Mathematical Thought From Ancient To Modern Times Volume 1

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Mathematical Thought from Ancient to Modern Times: Volume 1

Author : Morris Kline
Publisher : Oxford University Press
Page : 434 pages
File Size : 43,7 Mb
Release : 1990-08-16
Category : Mathematics
ISBN : 0195061357

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Mathematical Thought from Ancient to Modern Times: Volume 1 by Morris Kline Pdf

Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times.

Mathematics and the Physical World

Author : Morris Kline
Publisher : Courier Corporation
Page : 514 pages
File Size : 44,7 Mb
Release : 2012-03-15
Category : Mathematics
ISBN : 9780486136318

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Mathematics and the Physical World by Morris Kline Pdf

Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.

Mathematics and Its History

Author : John Stillwell
Publisher : Springer Nature
Page : 400 pages
File Size : 54,8 Mb
Release : 2020-11-07
Category : Mathematics
ISBN : 9783030551933

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Mathematics and Its History by John Stillwell Pdf

This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition

Mathematical Thought from Ancient to Modern Times: Volume 2

Author : Morris Kline
Publisher : Oxford University Press
Page : 468 pages
File Size : 54,8 Mb
Release : 1990-08-16
Category : Mathematics
ISBN : 0195061365

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Mathematical Thought from Ancient to Modern Times: Volume 2 by Morris Kline Pdf

Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times.

Mathematical Thought From Ancient to Modern Times: Volume 3

Author : Morris Kline
Publisher : Oxford University Press, USA
Page : 448 pages
File Size : 51,9 Mb
Release : 1990-03-01
Category : Mathematics
ISBN : 9780195061376

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Mathematical Thought From Ancient to Modern Times: Volume 3 by Morris Kline Pdf

This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the nineteenth century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Gödel on recent mathematical study.

Mathematical Thought from Ancient to Modern Times

Author : Morris Kline
Publisher : Unknown
Page : 1258 pages
File Size : 51,9 Mb
Release : 1972
Category : Mathematics
ISBN : MINN:31951P003706820

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Mathematical Thought from Ancient to Modern Times by Morris Kline Pdf

The major creations and developments in mathematics from the beginnings in Babylonia and Egypt through the first few decades of the twentieth century are presented with clarity and precision in this comprehensive historical study.

Greek Mathematical Thought and the Origin of Algebra

Author : Jacob Klein
Publisher : Courier Corporation
Page : 246 pages
File Size : 50,5 Mb
Release : 2013-04-22
Category : Mathematics
ISBN : 9780486319810

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Greek Mathematical Thought and the Origin of Algebra by Jacob Klein Pdf

Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.

The Development of Mathematics

Author : E. T. Bell
Publisher : Courier Corporation
Page : 657 pages
File Size : 47,6 Mb
Release : 2012-09-11
Category : Mathematics
ISBN : 9780486152288

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The Development of Mathematics by E. T. Bell Pdf

Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

A Brief History of Mathematical Thought

Author : Luke Heaton
Publisher : Oxford University Press
Page : 337 pages
File Size : 48,5 Mb
Release : 2017
Category : History
ISBN : 9780190621766

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A Brief History of Mathematical Thought by Luke Heaton Pdf

Emblazoned on many advertisements for the wildly popular game of Sudoku are the reassuring words, -no mathematical knowledge required.- Anxiety about math plagues many of us, and school memories can still summon intense loathing. In A Brief History of Mathematical Thought, Luke Heaton shows that much of what many think-and fear-about mathematics is misplaced, and to overcome our insecurities we need to understand its history. To help, he offers a lively guide into and through the world of mathematics and mathematicians, one in which patterns and arguments are traced through logic in a language grounded in concrete experience. Heaton reveals how Greek and Roman mathematicians like Pythagoras, Euclid, and Archimedes helped shaped the early logic of mathematics; how the Fibonacci sequence, the rise of algebra, and the invention of calculus are connected; how clocks, coordinates, and logical padlocks work mathematically; and how, in the twentieth century, Alan Turing's revolutionary work on the concept of computation laid the groundwork for the modern world. A Brief History of Mathematical Thought situates mathematics as part of, and essential to, lived experience. Understanding it requires not abstract thought or numbing memorization but an historical imagination and a view to its origins. --

Ancient and Modern Mathematics

Author : DAT PHUNG TO
Publisher : Trafford Publishing
Page : 235 pages
File Size : 46,7 Mb
Release : 2012-08-27
Category : Mathematics
ISBN : 9781466900950

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Ancient and Modern Mathematics by DAT PHUNG TO Pdf

Discover modern solutions to ancient mathematical problems with this engaging guide, written by a mathematics enthusiast originally from South Vietnam. Author Dat Phung To provides a theory that defines the partial permutations as the compositions of the permutations nPn=n!. To help you apply it, he looks back at the ancient mathematicians who solved challenging problems. Unlike people today, the scholars who lived in the ancient world didnt have calculators and computers to help answer complicated questions. Even so, they still achieved great works, and their methods continue to hold relevance. In this textbook, youll find fourteen ancient problems along with their solutions. The problems are arranged from easiest to toughest, so you can focus on building your knowledge as you progress through the text. Fourteen Ancient Problems also explores partial permutations theory, a mathematical discovery that has many applications. It provides a specific and unique method to write down the whole expansion of nPn = n! into single permutations with n being a finite number. Take a thrilling journey throughout the ancient world, discover an important theory, and build upon your knowledge of mathematics with Fourteen Ancient Problems.

The Complete Book of Math, Grades 1 - 2

Author : Anonim
Publisher : Carson-Dellosa Publishing
Page : 352 pages
File Size : 46,7 Mb
Release : 2014-12-01
Category : Juvenile Nonfiction
ISBN : 9781483821559

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The Complete Book of Math, Grades 1 - 2 by Anonim Pdf

The Complete Book of Math provides 352 pages of fun exercises for students in grades 1 to 2 that teach students key lessons in basic math skills. Lessons cover topics including patterns, comparing, geometry, place value, measurement, graphing, time and money, and fractions. it also includes a complete answer key, user-friendly activities, and easy-to-follow instructions. Over 4 million in print! Designed by leading experts, books in the Complete Book series help children in grades preschool-6 build a solid foundation in key subject areas for learning success. Complete Book are the most thorough and comprehensive learning guides available, offering high-interest lessons to encourage learning and full-color illustrations to spark interest. Each book also features challenging concepts and activities to motivate independent study, a fun page of stickers, and a complete answer key to measure performance and guide instruction.

The Math Book

Author : Clifford A. Pickover
Publisher : Union Square + ORM
Page : 937 pages
File Size : 48,8 Mb
Release : 2011-09-27
Category : Mathematics
ISBN : 9781402797491

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The Math Book by Clifford A. Pickover Pdf

The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

Principia Mathematica

Author : Alfred North Whitehead,Bertrand Russell
Publisher : Cambridge University Press
Page : 524 pages
File Size : 47,9 Mb
Release : 1927
Category : Mathematics
ISBN : 052106791X

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Principia Mathematica by Alfred North Whitehead,Bertrand Russell Pdf

The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.

A History of Mathematics

Author : Carl B. Boyer,Uta C. Merzbach
Publisher : John Wiley & Sons
Page : 695 pages
File Size : 45,7 Mb
Release : 2011-01-11
Category : Mathematics
ISBN : 9780470525487

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A History of Mathematics by Carl B. Boyer,Uta C. Merzbach Pdf

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.

Journey Through Genius

Author : William Dunham
Publisher : Penguin Books
Page : 324 pages
File Size : 49,9 Mb
Release : 1991-08
Category : Biography & Autobiography
ISBN : PSU:000023719095

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Journey Through Genius by William Dunham Pdf

Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. “It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov