Mathematical Thought from Ancient to Modern Times: Volume 2

Mathematical Thought from Ancient to Modern Times: Volume 2 PDF Author: Morris Kline
Publisher: Oxford University Press
ISBN: 9780195061369
Category : Mathematics
Languages : en
Pages : 468

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Book Description
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 2

Mathematical Thought from Ancient to Modern Times: Volume 2 PDF Author: Morris Kline
Publisher: Oxford University Press
ISBN: 9780195061369
Category : Mathematics
Languages : en
Pages : 468

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Book Description
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 1

Mathematical Thought From Ancient to Modern Times, Volume 1 PDF Author: Morris Kline
Publisher: Oxford University Press
ISBN: 0199770468
Category : Mathematics
Languages : en
Pages : 434

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Book Description
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.

Mathematical Thought From Ancient to Modern Times

Mathematical Thought From Ancient to Modern Times PDF Author: Morris Kline
Publisher: Oxford University Press
ISBN: 9780199840410
Category : Mathematics
Languages : en
Pages : 432

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Book Description
This comprehensive history traces the development of mathematical ideas and the careers of the mathematicians 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 19th 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 Godel on recent mathematical study.

Greek Mathematical Thought and the Origin of Algebra

Greek Mathematical Thought and the Origin of Algebra PDF Author: Jacob Klein
Publisher: Courier Corporation
ISBN: 0486319814
Category : Mathematics
Languages : en
Pages : 246

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Book Description
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.

Mathematics and the Physical World

Mathematics and the Physical World PDF Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486136310
Category : Mathematics
Languages : en
Pages : 514

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Book Description
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

Mathematics and Its History PDF Author: John Stillwell
Publisher: Springer Nature
ISBN: 3030551938
Category : Mathematics
Languages : en
Pages : 400

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Book Description
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

Ancient and Modern Mathematics

Ancient and Modern Mathematics PDF Author: DAT PHUNG TO
Publisher: Trafford Publishing
ISBN: 1466900954
Category : Mathematics
Languages : en
Pages : 235

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Book Description
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.

Mathematical Thought from Ancient to Modern Times

Mathematical Thought from Ancient to Modern Times PDF Author: Morris Kline
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1258

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Book Description
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.

Mathematical Thought From Ancient to Modern Times

Mathematical Thought From Ancient to Modern Times PDF Author: Morris Kline
Publisher: OUP USA
ISBN: 9780195061376
Category : Mathematics
Languages : en
Pages : 452

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

A Brief History of Mathematical Thought

A Brief History of Mathematical Thought PDF Author: Luke Heaton
Publisher: Oxford University Press
ISBN: 0190621761
Category : History
Languages : en
Pages : 337

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Book Description
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. --