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Author: Jason Socrates Bardi Publisher: Basic Books ISBN: 0786733640 Category : Science Languages : en Pages : 226
Book Description
Now regarded as the bane of many college students' existence, calculus was one of the most important mathematical innovations of the seventeenth century. But a dispute over its discovery sewed the seeds of discontent between two of the greatest scientific giants of all time -- Sir Isaac Newton and Gottfried Wilhelm Leibniz. Today Newton and Leibniz are generally considered the twin independent inventors of calculus, and they are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret. This long and bitter dispute has been swept under the carpet by historians -- perhaps because it reveals Newton and Leibniz in their worst light -- but The Calculus Wars tells the full story in narrative form for the first time. This vibrant and gripping scientific potboiler ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad and, in the end, completely human.
Author: Jason Socrates Bardi Publisher: Basic Books ISBN: 0786733640 Category : Science Languages : en Pages : 226
Book Description
Now regarded as the bane of many college students' existence, calculus was one of the most important mathematical innovations of the seventeenth century. But a dispute over its discovery sewed the seeds of discontent between two of the greatest scientific giants of all time -- Sir Isaac Newton and Gottfried Wilhelm Leibniz. Today Newton and Leibniz are generally considered the twin independent inventors of calculus, and they are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret. This long and bitter dispute has been swept under the carpet by historians -- perhaps because it reveals Newton and Leibniz in their worst light -- but The Calculus Wars tells the full story in narrative form for the first time. This vibrant and gripping scientific potboiler ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad and, in the end, completely human.
Author: Bernhelm Booß-Bavnbek Publisher: Birkhäuser ISBN: 3034880936 Category : Mathematics Languages : en Pages : 418
Book Description
Mathematics has for centuries been stimulated, financed and credited by military purposes. Some mathematical thoughts and mathematical technology have also been vital in war. During World War II mathematical work by the Anti-Hitler coalition was part of an aspiration to serve humanity and not help destroy it. At present, it is not an easy task to view the bellicose potentials of mathematics in a proper perspective. The book presents historical evidence and recent changes in the interaction between mathematics and the military. It discusses the new mathematically enhanced development of military technology which seems to have changed the very character of modern warfare.
Author: Aaron Sheehan-Dean Publisher: Harvard University Press ISBN: 067491631X Category : History Languages : en Pages : 481
Book Description
Winner of the Jefferson Davis Award Winner of the Johns Family Book Award Winner of the Army Historical Foundation Distinguished Writing Award “A work of deep intellectual seriousness, sweeping and yet also delicately measured, this book promises to resolve longstanding debates about the nature of the Civil War.” —Gregory P. Downs, author of After Appomattox Shiloh, Chancellorsville, Gettysburg—tens of thousands of soldiers died on these iconic Civil War battlefields, and throughout the South civilians suffered terrible cruelty. At least three-quarters of a million lives were lost during the American Civil War. Given its seemingly indiscriminate mass destruction, this conflict is often thought of as the first “total war.” But Aaron Sheehan-Dean argues for another interpretation. The Calculus of Violence demonstrates that this notoriously bloody war could have been much worse. Military forces on both sides sought to contain casualties inflicted on soldiers and civilians. In Congress, in church pews, and in letters home, Americans debated the conditions under which lethal violence was legitimate, and their arguments differentiated carefully among victims—women and men, black and white, enslaved and free. Sometimes, as Sheehan-Dean shows, these well-meaning restraints led to more carnage by implicitly justifying the killing of people who were not protected by the laws of war. As the Civil War raged on, the Union’s confrontations with guerrillas and the Confederacy’s confrontations with black soldiers forced a new reckoning with traditional categories of lawful combatants and raised legal disputes that still hang over military operations around the world today. In examining the agonizing debates about the meaning of a just war in the Civil War era, Sheehan-Dean discards conventional abstractions—total, soft, limited—as too tidy to contain what actually happened on the ground.
Author: Andrew Hacker Publisher: New Press, The ISBN: 1620970694 Category : Education Languages : en Pages : 257
Book Description
A New York Times–bestselling author looks at mathematics education in America—when it’s worthwhile, and when it’s not. Why do we inflict a full menu of mathematics—algebra, geometry, trigonometry, even calculus—on all young Americans, regardless of their interests or aptitudes? While Andrew Hacker has been a professor of mathematics himself, and extols the glories of the subject, he also questions some widely held assumptions in this thought-provoking and practical-minded book. Does advanced math really broaden our minds? Is mastery of azimuths and asymptotes needed for success in most jobs? Should the entire Common Core syllabus be required of every student? Hacker worries that our nation’s current frenzied emphasis on STEM is diverting attention from other pursuits and even subverting the spirit of the country. Here, he shows how mandating math for everyone prevents other talents from being developed and acts as an irrational barrier to graduation and careers. He proposes alternatives, including teaching facility with figures, quantitative reasoning, and understanding statistics. Expanding upon the author’s viral New York Times op-ed, The Math Myth is sure to spark a heated and needed national conversation—not just about mathematics but about the kind of people and society we want to be. “Hacker’s accessible arguments offer plenty to think about and should serve as a clarion call to students, parents, and educators who decry the one-size-fits-all approach to schooling.” —Publishers Weekly, starred review
Author: Richard C. Brown Publisher: World Scientific ISBN: 9814390798 Category : Mathematics Languages : en Pages : 333
Book Description
1. Evolution or revolution in mathematics -- 2. Issues in seventeenth century mathematics -- 3. Isaac Barrow: a foil to Leibniz -- 4. A young central European polymath -- 5. First steps in mathematics -- 6. The creation of calculus -- 7. Logic -- 8. The universal characteristic -- 9. The baroque cultural context -- 10. Epilogue -- 11. Some concluding remarks on mathematical change -- Appendices.
Author: C. K. Raju Publisher: Pearson Education India ISBN: 9788131708712 Category : Calculus Languages : en Pages : 536
Book Description
The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science. The Conclusions Challenge Current Formal Mathematics And Its Basis In The Western Dogma That Deduction Is Infallible (Or That It Is Less Fallible Than Induction). The Development Of The Calculus In India, Over A Thousand Years, Is Exhaustively Documented In This Volume, Along With Novel Insights, And Is Related To The Key Sources Of Wealth-Monsoon-Dependent Agriculture And Navigation Required For Overseas Trade - And The Corresponding Requirement Of Timekeeping. Refecting The Usual Double Standard Of Evidence Used To Construct Eurocentric History, A Single, New Standard Of Evidence For Transmissions Is Proposed. Using This, It Is Pointed Out That Jesuits In Cochin, Following The Toledo Model Of Translation, Had Long-Term Opportunity To Transmit Indian Calculus Texts To Europe. The European Navigational Problem Of Determining Latitude, Longitude, And Loxodromes, And The 1582 Gregorian Calendar-Reform, Provided Ample Motivation. The Mathematics In These Earlier Indian Texts Suddenly Starts Appearing In European Works From The Mid-16Th Century Onwards, Providing Compelling Circumstantial Evidence. While The Calculus In India Had Valid Pramana, This Differed From Western Notions Of Proof, And The Indian (Algorismus) Notion Of Number Differed From The European (Abacus) Notion. Hence, Like Their Earlier Difficulties With The Algorismus, Europeans Had Difficulties In Understanding The Calculus, Which, Like Computer Technology, Enhanced The Ability To Calculate, Albeit In A Way Regarded As Epistemologically Insecure. Present-Day Difficulties In Learning Mathematics Are Related, Via Phylogeny Is Ontogeny , To These Historical Difficulties In Assimilating Imported Mathematics. An Appendix Takes Up Further Contemporary Implications Of The New Philosophy Of Mathematics For The Extension Of The Calculus, Which Is Needed To Handle The Infinities Arising In The Study Of Shock Waves And The Renormalization Problem Of Quantum Field Theory.
Author: David Warren Cohen Publisher: Jones & Bartlett Learning ISBN: 9780763729479 Category : Computers Languages : en Pages : 1014
Book Description
Adaptable to courses for non-engineering majors, this textbook illustrates the meaning of a curve through graphs and tests predictions through numerical values of change, before formally defining the limit of a sequence and function, the derivative, and the integral. The second half of the book develops techniques for integrating functions, approxi
Author: Jon Scieszka Publisher: Viking Juvenile ISBN: 9780670062690 Category : Juvenile Fiction Languages : en Pages : 32
Book Description
When the teacher tells his class that they can hear the poetry of science in everything, a student is struck with a curse and begins hearing nothing but science verses that sound very much like some well-known poems.
Author: Jonathan Bier Publisher: ISBN: Category : Languages : en Pages : 220
Book Description
This book covers Bitcoin's blocksize war, which was waged from August 2015 to November 2017. On the surface the battle was about the amount of data allowed in each Bitcoin block, however it exposed much deeper issues, such as who controls Bitcoin's protocol rules. It is not possible to cover every twist and turn in the labyrinthine conflict or all the arguments, but I have provided a chronology of the most significant events. This book explores some of the major characters in the conflict and includes coverage, from both the front lines and behind the scenes, during some of the most acute phases of the struggle. The account in this book includes discussions with the key players from both sides during the war, exploring their motivations, strategy and thought processes as the exhausting campaign progressed and developed.
Author: J.B. Shank Publisher: University of Chicago Press ISBN: 0226749479 Category : History Languages : en Pages : 590
Book Description
Nothing is considered more natural than the connection between Isaac Newton’s science and the modernity that came into being during the eighteenth-century Enlightenment. Terms like “Newtonianism” are routinely taken as synonyms for “Enlightenment” and “modern” thought, yet the particular conjunction of these terms has a history full of accidents and contingencies. Modern physics, for example, was not the determined result of the rational unfolding of Newton’s scientific work in the eighteenth century, nor was the Enlightenment the natural and inevitable consequence of Newton’s eighteenth-century reception. Each of these outcomes, in fact, was a contingent event produced by the particular historical developments of the early eighteenth century. A comprehensive study of public culture, The Newton Wars and the Beginning of the French Enlightenment digsbelow the surface of the commonplace narratives that link Newton with Enlightenment thought to examine the actual historical changes that brought them together in eighteenth-century time and space. Drawing on the full range of early modern scientific sources, from studied scientific treatises and academic papers to book reviews, commentaries, and private correspondence, J. B. Shank challenges the widely accepted claim that Isaac Newton’s solitary genius is the reason for his iconic status as the father of modern physics and the philosophemovement.
Author: Jason Socrates Bardi
Author: Jason Socrates Bardi
Author: Bernhelm Booß-Bavnbek
Author: Aaron Sheehan-Dean
Author: Andrew Hacker
Author: Richard C. Brown
Author: C. K. Raju
Author: David Warren Cohen
Author: Jon Scieszka
Author: Jonathan Bier
Author: J.B. Shank