Springer, 2024. — 658 р. — ISBN 978-3-031-74224-8. Offers a thorough study of Pythagoreanism and the early Pythagoreans, providing insights into Pythagoras' legacy Employs the most relevant Pythagorean concepts to discuss mathematical thinking and the tools that support it Useful for students and teachers at all levels, and accessible to non-mathematicians with a genuine...
Scientific American/Farrar, Straus and Giroux, 2014. — 805 p. — ISBN: 978-0-374-17681-5. On August 10, 1632, five leading Jesuits convened in a sombre Roman palazzo to pass judgment on a simple idea: that a continuous line is composed of distinct and limitlessly tiny parts. The doctrine would become the foundation of calculus, but on that fateful day the judges ruled that it...
New York: Prometheus Books, 2014. — 251 p. — ISBN: 1616140917. In this accessible and illuminating study of how the science of mathematics developed, a veteran math researcher and educator looks at the ways in which our evolutionary makeup is both a help and a hindrance to the study of math. Artstein chronicles the discovery of important mathematical connections between...
Bloomsbury Sigma, 2017. — 480 p. — ISBN 978-1472939999. In this book, Johnny Ball tells one of the most important stories in world history – the story of mathematics. By introducing us to the major characters and leading us through many historical twists and turns, Johnny slowly unravels the tale of how humanity built up a knowledge and understanding of shapes, numbers and...
Macmillan Corp., 2014. — 208 p. — ISBN: 0-312381859, 978-1466887169. The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress - and also when it did not, because science was being stifled by militarism or...
Dover Publications, Inc., 1992. — 1011 p. — (Dover Books on Mathematics). — ISBN-13 978048615228. In all historic times all civilized peoples have striven toward mathematics. The prehistoric origins are as irrecoverable as those of language and art, and even the civilized beginnings can only be conjectured from the behavior of primitive peoples today. Whatever its source,...
Fondo de Cultura Económica, 2016. Ha sido preocupación primordial del autor procurar destacar lo que la realidad y el tiempo han situado y mantenido en primer plano de importancia, y establecer la gradación hacia ideas menores, aunque también valiosas. A partir de ahí, y con la reglada división en periodos y subperiodos, se da la sistematización didáctica que requiere estudio...
Knopf Doubleday Publishing Group, 2011 — 352 p. — ISBN 9780307789730, 030778973X Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible...
Modern Library, 2008 — 224 p. — (Modern Library Chronicles) — ISBN 9780812978711, 0812978714 In Infinite Ascent, David Berlinski, the acclaimed author of The Advent of the Algorithm, A Tour of the Calculus, and Newton’s Gift, tells the story of mathematics, bringing to life with wit, elegance, and deep insight a 2,500-year-long intellectual adventure. Berlinski focuses on the...
Pantheon, 2011 — 224 p. — ISBN 9780307379856, 030737985X The acclaimed author of A Tour of the Calculus and The Infinite Ascent offers an enlightening and enthralling tour of the basics of mathematics, and reveals a world of fascination in fundamental mathematical ideas. One, Two, Three is David Berlinski’s captivating exploration of the foundation of mathematics, its...
Basic Books, 2013 — 192 p. — ISBN 9780465014811, 046501481X Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid’s Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned...
Updated Edition – Chelsea House, 2019. – 144 p. – (Pioneers in Mathematics Volume 1) – ISBN 9781438182261, 1438182260. From 700 BCE to 1300 CE, thousands of scholars from many civilizations introduced mathematical ideas that established the foundations of arithmetic, number theory, algebra, geometry, and trigonometry, as well as the related sciences of astronomy and physics....
Springer, 2020. — 414 p. — ISBN 978-3-030-58417-7, 978-3-030-58418-4. This book paints a fresco of the field of extrapolation and rational approximation over the last several centuries to the present through the works of their primary contributors. It can serve as an introduction to the topics covered, including extrapolation methods, Padé approximation, orthogonal polynomials,...
Dover Publication, 2013. — 848 p. — (Dover Books on Mathematics). — ISBN: 9780486677668, 0486677664. This classic study notes the first appearance of a mathematical symbol and its origin, the competition it encountered, its spread among writers in different countries, its rise to popularity, its eventual decline or ultimate survival. The author’s coverage of obsolete notations...
Michael O' Mara, 2012, 193 pages We may remember their equations and discoveries from school, but do we remember who the men behind the maths were? From the theories of Pythagoras (and did you know he ran a secret brotherhood that studied maths, music and gymnastics?) to coining the term 'Googol', "From 0 to Infinity in 26 Centuries: The Extraordinary Story of Maths" is packed...
Springer International Publishing AG, 2018. — 296 p. — (ICME-13 Monographs). — ISBN: 3319739239. This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and...
New York: Britannica Educational Publishing, 2016. — 184 p. — ISBN: 1680485083. Introduces readers to a collection of mathematicians, including ancient sages, Renaissance geniuses, Enlightenment-era polymaths, nineteenth-century innovators, some of the greatest minds of the twentieth century, and current leaders in the field.
Oxford University Press, 2015. — 336 p. — ISBN: 0198702590. The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the...
Oxford University Press, 2020. — 171 p. — ISBN: 978-0-19-885224-7, 978-0-19-259378-8. 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...
Springer, 2015. — 320 p. — (Trends in the History of Science). — ISBN10: 3319121014. This book collects the papers of the conference held in Berlin, Germany, 27-29 August 2012, on 'Space, Geometry and the Imagination from Antiquity to the Modern Age'. The conference was a joint effort by the Max Planck Institute for the History of Science (Berlin) and the Centro die Ricerca...
Birkhäuser, 2023. — 840 p. — (Trends in Mathematics). — ISBN 978-3-031-11938-5. This volume is dedicated to Ciro Ciliberto on the occasion of his 70th birthday and contains refereed papers, offering an overview of important parts of current research in algebraic geometry and related research in the history of mathematics. It presents original research as well as surveys, both...
Delphi Classics, 2019. — 1984 p. — (Delphi Ancient Classics Book, 96). — ISBN: 978-1-78877-946-3. The father of geometry, Euclid was a Greek mathematician active in Alexandria during the reign of Ptolemy I (323-283 BC). His treatise on geometry, ‘Elements’, is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics...
2nd Edition. — Cambridge University Press, 2013. — 464 p. — (Dover Books on Mathematics). — ISBN: 0486600890. — (Translated from the Text of Heiberg With Introduction and Commentary by Heath T.L.). This is the definitive edition of one of the very greatest classics of all time - the full Euclid, not an abridgement. Using the text established by Heiberg, Sir Thomas Heath...
2nd Edition. — Cambridge University Press, 2013. — 564 p. — (Dover Books on Mathematics). — ISBN: 0486600904. — (Translated from the Text of Heiberg With Introduction and Commentary by Heath T.L.). This is the definitive edition of one of the very greatest classics of all time-the full Euclid, not an abridgement. Utilizing the text established by Heiberg, Sir Thomas Heath...
2nd Edition. — Cambridge University Press, 2013. — 464 p. — (Dover Books on Mathematics). — ISBN: 0486600882. — (Translated from the Text of Heiberg With Introduction and Commentary by Heath T.L.). This is the definitive edition of one of the very greatest classics of all time - the full Euclid, not an abridgement. Using the text established by Heiberg, Sir Thomas Heath...
Bloomsbury, 2011.
The enthralling story of Pythagoras and the Pythagoreans, whose insights transformed the ancient world and still inspire the realms of science, mathematics, philosophy, and the arts. Rather than begin her investigation with a historicist assessment of the non-existent facts, Ferguson holds fast to the reality of Pythagoras, that is, his legacy. In a field...
Princeton University Press, 2011. — 624 p. — ISBN: 0-691-05857-1, 0-691-05858-X. While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A.N....
Springer, 2021. — 437 p. — ISBN 978-3-030-80626-2. Landscape of 21st Century Mathematics offers a detailed cross section of contemporary mathematics. Important results of the 21st century are motivated and formulated, providing an overview of recent progress in the discipline. The theorems presented in this book have been selected among recent achievements whose statements can...
Rosen Education Service, 2010. — 309 p. — ISBN 978-1-61530-221-5 The field of mathematics today represents an ongoing global effort, spanning both countries and centuries. While some developments emerged in multiple cultures, independent of each other, others involved an extensive exchange of ideas among individuals around the world. Through this in-depth narrative, students...
State University of New York Press, 2017. — 300 p. — (SUNY series in ancient Greek philosophy). — ISBN: 978-1438464893, 978-1438464916. Explores Thales’s speculative philosophy through a study of geometrical diagrams. Bringing together geometry and philosophy, this book undertakes a strikingly original study of the origins and significance of the Pythagorean theorem. Thales,...
Cambridge University Press, 2017. — 153 p. — ISBN 1-107-60463-X, 978-1-107-60463-6. A Mathematician's Apology is the famous essay by British mathematician G.H. Hardy. It concerns the aesthetics of mathematics with some personal content, and gives the layman an insight into the mind of a working mathematician. Indeed, this book is often considered one of the best insights into...
Philadelphia: Running Press, 2007. — 1376 p. Bestselling author and physicist Stephen Hawking explores the "masterpieces" of mathematics, 25 landmarks spanning 2,500 years and representing the work of 15 mathematicians, including Augustin Cauchy, Bernard Riemann, and Alan Turing. This extensive anthology allows readers to peer into the mind of genius by providing them with...
Oxford: Clarendon Press, 1981. — 464 p. — (Dover Books on Mathematics). — ISBN 978-0-4861-62690. The idea may seem quixotic, but it is nevertheless the authors confident hope that this book will give a fresh interest to the story of Greek mathematics in the eyes both of mathematicians and of classical scholars. For the mathematician the important consideration is that the...
Oxford: Clarendon Press, 1981. — 608 p. — (Dover Books on Mathematics). — ISBN 0-486-24074-6. Historians of mathematics have, as a rule, given too little attention to Aristarchus of Samos. The reason is no doubt that he was an astronomer, and therefore it might be supposed that his work would have no sufficient interest for the mathematician. The Greeks knew better; they called...
Springer, 2023. — 462 p. — ISBN 978-3-662-66493-3. The volume contains a comprehensive and problem-oriented presentation of ancient Greek mathematics from Thales to Proklos Diadochos. Exemplarily, a cross-section of Greek mathematics is offered, whereby also such works of scientists are appreciated in detail, of which no German translation is available. How Greek Science Began....
C.H.Beck, 2014. — 346 S. Wie die Liebe und die Musik hat Mathematik die Gabe, Menschen glücklich zu machen. Angesichts ihrer oft kargen Darreichungsform eine kühne Behauptung? Dafür, dass sie dennoch stimmt, tritt der Mathematiker und Mathematik-Belletrist Christian Hesse in seinem neuen Buch den Beweis an - in 151 erstaunlichen und gewitzten Geschichten. Warum haben Tiger...
Oxford University Press, 2005. — 294 p. — ISBN 978-0-19-852937-8, 978-0-19-967676-7. A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected,...
Birkhäuser Cham, 2023. — 241 p. — (Copernicus Books) — eBook ISBN: 978-3-031-36255-2. Collects translations of articles originally published in the Dutch magazine EOS Constitutes an original and thrilling piece for the general public which connects mathematics and culture Invites both academics and curious minds to reflect on the special entanglement of mathematics and humanity...
Princeton University Press, 2016. — 249 p. — ISBN 978-0-691-11713-3. Mathematics in Ancient Egypt traces the development of Egyptian mathematics, from the end of the fourth millennium BC — and the earliest hints of writing and number notation — to the end of the pharaonic period in Greco-Roman times. Drawing from mathematical texts, architectural drawings, administrative...
Springer, 2017. — 409 p. — (History of Mathematics Education). — ISBN10: 3319592033, 13 978-3319592039. In this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and NeridaEllerton, tackle a persistent, and universal, problem in school mathematics-why doso many middle-school and secondary-school students find it difficult to learn algebrawell? What makes the book...
ABC-CLIO, 2022. — 350 p. Numbers: A Cultural History provides students with a compelling interdisciplinary view of the development of mathematics and its relationship to world cultures over 4,500 years of human history. Mathematics is often referred to as a "universal language", and that is a fitting description. Many cultures have contributed to mathematics in fascinating...
University of Chicago Press, 2023. — 350 p. — ISBN-13: 978-0-226-82673-8. A forgotten episode of mathematical resistance reveals the rise of modern mathematics and its cornerstone, mathematical purity, as political phenomena. The nineteenth century opened with a major shift in European mathematics, and in the Kingdom of Naples, this occurred earlier than elsewhere. Between 1790...
Princeton: Princeton University Press, 2022. — 416 p. A meticulously researched history on the development of American mathematics in the three decades following World War I As the Roaring Twenties lurched into the Great Depression, to be followed by the scourge of Nazi Germany and World War II, American mathematicians pursued their research, positioned themselves collectively...
NY: Sterling, 2009. — 528 p. — (Sterling Milestones). — ISBN 9781402757969, 1402757964. Math’s infinite mysteries and beauty unfold in this follow-up to the best-selling « The Science Book ». Beginning millions of years ago with ancient ant odometers and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the...
Princeton University Press, 2008. — 330 p. — ISBN 978-0691126777, 0691126771. Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable...
Princeton University Press, 2024. — 413 p. An illuminating biography of one of the greatest geometers of the twentieth century. Driven by a profound love of shapes and symmetries, Donald Coxeter (1907–2003) preserved the tradition of classical geometry when it was under attack by influential mathematicians who promoted a more algebraic and austere approach. His essential...
3rd edition. — Myshawer, 2021. — 271 p. — ISBN 9798453375400. This book will explain all the mathematical concepts which the scribes used to solve the problems in all the ancient Egyptian mathematical papyri, both Hieratic and Demotic. Similarities and differences between the different papyri are discussed. The explanation will be in modern-day mathematics. It takes...
De Gruyter, 2018. — xii, 392 p. — (Science, Technology, and Medicine in Ancient Cultures. Vol. 8). — ISBN 978-3-11-056365-8, 978-3-11-056595-9, 978-3-11-056527-0. This volume brings together a number of leading scholars working in the field of ancient Greek mathematics to present their latest research. In their respective area of specialization, all contributors offer...
Fourth Estate, 2002. — 384 p. xn + yn = zn, where n represents 3, 4, 5, .no solution "I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain." With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations. What came to be known as Fermat's Last Theorem...
Princeton: Princeton University Press, 2019. — 859 р. — ISBN 978-0-691-17867-7. A fascinating history that reveals the ways in which the pursuit of rationality often leads to an explosion of irrationality. The Self-Devouring Octopus; or, Logic “No-Brainers”; or, Reason in Nature The Sleep of Reason; or, Dreams Dreams into Things; or, Art “I believe because it is absurd”; or,...
Oxford University Press, 2012. - 144 p. This Very Short Introduction explores the rich historical and cultural diversity of mathematical practice, ranging from the distant past to the present. Historian Jacqueline Stedall shows that mathematical ideas are far from being fixed, but are adapted and changed by their passage across periods and cultures. The book illuminates some of...
Birkhäuser, 2023. — 358 p. This volume, originally published in China and translated into four other languages, presents a fascinating and unique account of the history of mathematics, divided into eight chronologically organized chapters. Tracing the development of mathematics across disparate regions and peoples, with particular emphasis on the relationship between...
Princeton University Press, 2020. — 176 p. The Secret Formula tells the story of two Renaissance mathematicians whose jealousies, intrigues, and contentious debates led to the discovery of a formula for the solution of the cubic equation. Niccolò Tartaglia was a talented and ambitious teacher who possessed a secret formula - the key to unlocking a seemingly unsolvable,...
Springer, 2021. — 534 p. — ISBN 978-3-030-75050-3. This textbook offers a rigorous presentation of mathematics before the advent of calculus. Fundamental concepts in algebra, geometry, and number theory are developed from the foundations of set theory along an elementary, inquiry-driven path. Thought-provoking examples and challenging problems inspired by mathematical contests...
М.: Изд-во МГТУ им. Н. Э. Баумана, 2006. — 648 с: ил. Под ред. B.C. Зарубина. — 2-е изд., испр. ISBN: 5-7038-2890-2 Книга является дополнением к комплексу учебников серии «Математика в техническом университете» и знакомит читателя с основными фрагментами истории становления современной математики. В ее основу положены лекции по курсам «Введение в специальность» и «История...
Пер. с нем. 5-е изд., испр. — М.: Наука, 1990. — 256 с. — ISBN: 5-02-014329-4. Книга известного голландского математика и историка математики Д. Стройка является одной из лучших в мировой математической литературе, в ней живым, образным языком изложена история математики от зарождения этой науки до конца 19-го столетия. Для преподавателей математики, студентов университетов и...
М. : Альпина нон-фикшн, 2020. — 394 с. Гарвардский математик, лауреат Филдсовской премии Яу Шинтун дал геометрическое обоснование «первой струнной революции», предложил принципиально новые идеи в понимании массы и кривизны и теоретически доказал стабильность нашей Вселенной. В своей автобиографической книге Яу рассказывает о невероятном пути, который привел его к...
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