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Author : William McGowen Priestley
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (321 download)
Download or read book Addenda to Calculus, an Historical Approach written by William McGowen Priestley and published by . This book was released on 1981 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. M. Priestley
Publisher :
ISBN 13 : 9781468493504
Total Pages : 464 pages
Book Rating : 4.4/5 (935 download)
Download or read book Calculus written by W. M. Priestley and published by . This book was released on 1995-11-09 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heinrich Brarens Sloman
Publisher : Rarebooksclub.com
ISBN 13 : 9781230161877
Total Pages : 48 pages
Book Rating : 4.1/5 (618 download)
Download or read book The Claim of Leibnitz to the Invention of the Differential Calculus, Tr. with Alterations and New Addenda by the Author written by Heinrich Brarens Sloman and published by Rarebooksclub.com. This book was released on 2013-09 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1860 edition. Excerpt: ...a la meme part a cette gloire, sentirent par le peu qu'ils voyoient de ce calcul quelle en devait etre Vetendue et la beaute, ils s'appliquerent opiniatriment a en chercher le secret, et Venlever a Vinventeur, ils y reussirent, et perfectionnerent cette Methode au point que M. Leibnits par une sincerite digne d'un grand homme a declare qu'elle leur appartenait autant qu'a lui. Gerhardt endorses the above assertion, and we do so with him. He namely tells us, Leib. Math. Works, III, p. 5, 1855. "In the "Acta Erud., in 1684, Leibnitz had made known his new method; "James Bernoulli could readily imagine of what importance it was; "yet he was unable to raise the veil which, as it appeared, concealed "almost impenetrably the very concisely enunciated principle. At "last in the year 1687 an opportunity presented itself to James "Bernoulli to enter upon a correspondence with Leibnitz, the author "of the new method, and request him to furnish explanations and "directions by which to understand it. This letter of Bernoulli's was "delivered, while Leibnitz was absent upon a long journey;and "so it happened that Leibnitz did not furnish James Bernoulli with "an answer to it, till after his return in the year 1690, when however "he had no longer any need to instruct Bernoulli in the principle of "this higher analysis. For Bernoulli had, propria Marte, and by a "persevering study, penetrated the mystery, and had already manifested "the proficiency he had acquired by the solution of the isochronous"curve-problem, which Leibnitz had proposed to the Cartesians." "In den Actis erud. hatte...
Author : Paolo Freguglia
Publisher : Birkhäuser
ISBN 13 : 3319389459
Total Pages : 297 pages
Book Rating : 4.3/5 (193 download)
Download or read book The Early Period of the Calculus of Variations written by Paolo Freguglia and published by Birkhäuser. This book was released on 2016-06-27 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explores the early development of the calculus of variations in continental Europe during the Eighteenth Century by illustrating the mathematics of its founders. Closely following the original papers and correspondences of Euler, Lagrange, the Bernoullis, and others, the reader is immersed in the challenge of theory building. We see what the founders were doing, the difficulties they faced, the mistakes they made, and their triumphs. The authors guide the reader through these works with instructive commentaries and complements to the original proofs, as well as offering a modern perspective where useful. The authors begin in 1697 with Johann Bernoulli’s work on the brachystochrone problem and the events leading up to it, marking the dawn of the calculus of variations. From there, they cover key advances in the theory up to the development of Lagrange’s δ-calculus, including: • The isoperimetrical problems • Shortest lines and geodesics • Euler’s Methodus Inveniendi and the two Additamenta Finally, the authors give the readers a sense of how vast the calculus of variations has become in centuries hence, providing some idea of what lies outside the scope of the book as well as the current state of affairs in the field. This book will be of interest to anyone studying the calculus of variations who wants a deeper intuition for the techniques and ideas that are used, as well as historians of science and mathematics interested in the development and evolution of modern calculus and analysis.
Author : J.B. Shank
Publisher : University of Chicago Press
ISBN 13 : 022650932X
Total Pages : 457 pages
Book Rating : 4.2/5 (265 download)
Download or read book Before Voltaire written by J.B. Shank and published by University of Chicago Press. This book was released on 2018-06-08 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have grown accustomed to the idea that scientific theories are embedded in their place and time. But in the case of the development of mathematical physics in eighteenth-century France, the relationship was extremely close. In Before Voltaire, J.B. Shank shows that although the publication of Isaac Newton’s Principia in 1687 exerted strong influence, the development of calculus-based physics is better understood as an outcome that grew from French culture in general. Before Voltaire explores how Newton’s ideas made their way not just through the realm of French science, but into the larger world of society and culture of which Principia was an intertwined part. Shank also details a history of the beginnings of calculus-based mathematical physics that integrates it into the larger intellectual currents in France at the time, including the Battle of the Ancients and the Moderns, the emergence of wider audiences for science, and the role of the newly reorganized Royal Academy of Sciences. The resulting book offers an unprecedented cultural history of one the most important and influential elements of Enlightenment science.
Author : M. A. Stewart
Publisher : Oxford University Press
ISBN 13 : 0199547319
Total Pages : 407 pages
Book Rating : 4.1/5 (995 download)
Download or read book Hume's Philosophy in Historical Perspective written by M. A. Stewart and published by Oxford University Press. This book was released on 2022-10 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: David Hume was a highly original thinker. Nevertheless, he was a writer of his time and place in the history of philosophy. In this book, M. A. Stewart puts Hume's writing in context, particularly that of his native Scotland, but also that of British and European philosophy more generally. Through meticulous research Stewart brings to life the circumstances by means of which we can get a deeper understanding of Hume's writings on the nature and reach of human reason, the foundation of morals, and, especially, on the philosophy of religion. Stewart pays particular attention to Hume's intellectual development, beginning with his education at the College of Edinburgh, the writing of his Treatise of Human Nature, and his subsequent philosophical responses to criticisms of that book. He argues that Hume's scepticism set him at odds with the Christian Stoicism of Scottish contemporaries including that of Francis Hutcheson - and shows that this conflict played a major role in his failure to obtain the Edinburgh Moral Philosophy Chair in 1745. Stewart's detailed study of the physical character of Hume's surviving manuscripts in Chapters 8 and 9 provides the best available dating of his early 'Essay on Modern Chivalry', his 'Early Fragment on Evil' and the periods of composition of his Dialogues Concerning Natural Religion. Other chapters compare Hume's theory of abstraction with that of Locke and Berkeley, provide the 17th and 18th century philosophical context of the central argument of his essay 'Of miracles', and consider the 18th and 19th century reception of his writings in England and Ireland.
Author : Maria Zack
Publisher : Springer Nature
ISBN 13 : 3030312984
Total Pages : 180 pages
Book Rating : 4.0/5 (33 download)
Download or read book Research in History and Philosophy of Mathematics written by Maria Zack and published by Springer Nature. This book was released on 2020-01-02 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains ten papers that have been collected by the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques. It showcases rigorously-reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics from the seventeenth century to the modern era. The volume begins with an exposition of the life and work of Professor Bolesław Sobociński. It then moves on to cover a collection of topics about twentieth-century philosophy of mathematics, including Fred Sommers’s creation of Traditional Formal Logic and Alexander Grothendieck’s work as a starting point for discussing analogies between commutative algebra and algebraic geometry. Continuing the focus on the philosophy of mathematics, the next selections discuss the mathematization of biology and address the study of numerical cognition. The volume then moves to discussing various aspects of mathematics education, including Charles Davies’s early book on the teaching of mathematics and the use of Gaussian Lemniscates in the classroom. A collection of papers on the history of mathematics in the nineteenth century closes out the volume, presenting a discussion of Gauss’s “Allgemeine Theorie des Erdmagnetismus” and a comparison of the geometric works of Desargues and La Hire. Written by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.
Author : Library of Congress
Publisher :
ISBN 13 :
Total Pages : 1048 pages
Book Rating : 4.3/5 (91 download)
Download or read book Library of Congress Catalogs written by Library of Congress and published by . This book was released on 1980 with total page 1048 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frederik S. Herzberg
Publisher : Springer
ISBN 13 : 3642331491
Total Pages : 125 pages
Book Rating : 4.6/5 (423 download)
Download or read book Stochastic Calculus with Infinitesimals written by Frederik S. Herzberg and published by Springer. This book was released on 2012-11-06 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic analysis is not only a thriving area of pure mathematics with intriguing connections to partial differential equations and differential geometry. It also has numerous applications in the natural and social sciences (for instance in financial mathematics or theoretical quantum mechanics) and therefore appears in physics and economics curricula as well. However, existing approaches to stochastic analysis either presuppose various concepts from measure theory and functional analysis or lack full mathematical rigour. This short book proposes to solve the dilemma: By adopting E. Nelson's "radically elementary" theory of continuous-time stochastic processes, it is based on a demonstrably consistent use of infinitesimals and thus permits a radically simplified, yet perfectly rigorous approach to stochastic calculus and its fascinating applications, some of which (notably the Black-Scholes theory of option pricing and the Feynman path integral) are also discussed in the book.
Author : Radim Belohlavek
Publisher : Oxford University Press
ISBN 13 : 019066570X
Total Pages : 545 pages
Book Rating : 4.1/5 (96 download)
Download or read book Fuzzy Logic and Mathematics written by Radim Belohlavek and published by Oxford University Press. This book was released on 2017-05-03 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term "fuzzy logic," as it is understood in this book, stands for all aspects of representing and manipulating knowledge based on the rejection of the most fundamental principle of classical logic---the principle of bivalence. According to this principle, each declarative sentence is required to be either true or false. In fuzzy logic, these classical truth values are not abandoned. However, additional, intermediate truth values between true and false are allowed, which are interpreted as degrees of truth. This opens a new way of thinking---thinking in terms of degrees rather than absolutes. For example, it leads to the definition of a new kind of sets, referred to as fuzzy sets, in which membership is a matter of degree. The book examines the genesis and development of fuzzy logic. It surveys the prehistory of fuzzy logic and inspects circumstances that eventually lead to the emergence of fuzzy logic. The book explores in detail the development of propositional, predicate, and other calculi that admit degrees of truth, which are known as fuzzy logic in the narrow sense. Fuzzy logic in the broad sense, whose primary aim is to utilize degrees of truth for emulating common-sense human reasoning in natural language, is scrutinized as well. The book also examines principles for developing mathematics based on fuzzy logic and provides overviews of areas in which this has been done most effectively. It also presents a detailed survey of established and prospective applications of fuzzy logic in various areas of human affairs, and provides an assessment of the significance of fuzzy logic as a new paradigm.
Author : Library of Congress
Publisher :
ISBN 13 :
Total Pages : 1020 pages
Book Rating : 4.:/5 (891 download)
Download or read book Subject Catalog written by Library of Congress and published by . This book was released on with total page 1020 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vilmos Komornik
Publisher : Springer
ISBN 13 : 1447173163
Total Pages : 383 pages
Book Rating : 4.4/5 (471 download)
Download or read book Topology, Calculus and Approximation written by Vilmos Komornik and published by Springer. This book was released on 2017-04-04 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejér, Stieltjes, and Turán. The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdős and others. In the first part, the classical results of Alexandroff, Cantor, Hausdorff, Helly, Peano, Radon, Tietze and Urysohn illustrate the theories of metric, topological and normed spaces. Following this, the general framework of normed spaces and Carathéodory's definition of the derivative are shown to simplify the statement and proof of various theorems in calculus and ordinary differential equations. The third and final part is devoted to interpolation, orthogonal polynomials, numerical integration, asymptotic expansions and the numerical solution of algebraic and differential equations. Students of both pure and applied mathematics, as well as physics and engineering should find this textbook useful. Only basic results of one-variable calculus and linear algebra are used, and simple yet pertinent examples and exercises illustrate the usefulness of most theorems. Many of these examples are new or difficult to locate in the literature, and so the original sources of most notions and results are given to help readers understand the development of the field.
Author : Steven R. Finch
Publisher : Cambridge University Press
ISBN 13 : 9780521818056
Total Pages : 634 pages
Book Rating : 4.8/5 (18 download)
Download or read book Mathematical Constants written by Steven R. Finch and published by Cambridge University Press. This book was released on 2003-08-18 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.
Author : David Rock
Publisher : Routledge
ISBN 13 : 1136328149
Total Pages : 362 pages
Book Rating : 4.1/5 (363 download)
Download or read book Teaching Secondary Mathematics written by David Rock and published by Routledge. This book was released on 2013-02-15 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solidly grounded in up-to-date research, theory and technology, Teaching Secondary Mathematics is a practical, student-friendly, and popular text for secondary mathematics methods courses. It provides clear and useful approaches for mathematics teachers, and shows how concepts typically found in a secondary mathematics curriculum can be taught in a positive and encouraging way. The thoroughly revised fourth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and comprehensive companion website offers expanded discussion of chapter topics, additional examples and technological tips. Each chapter features tried-and-tested pedagogical techniques, problem solving challenges, discussion points, activities, mathematical challenges, and student-life based applications that will encourage students to think and do. New to the 4th edition: A fully revised and updated chapter on technological advancements in the teaching of mathematics Connections to both the updated NCTM Focal Points as well as the new Common Core State Standards are well-integrated throughout the text Problem solving challenges and sticky questions featured in each chapter to encourage students to think through everyday issues and possible solutions. A fresh interior design to better highlight pedagogical elements and key features A companion website with chapter-by-chapter video lessons, teacher tools, problem solving Q&As, helpful links and resources, and embedded graphing calculators.
Author : Michael Spivak
Publisher : Westview Press
ISBN 13 : 9780805390216
Total Pages : 164 pages
Book Rating : 4.3/5 (92 download)
Download or read book Calculus on Manifolds written by Michael Spivak and published by Westview Press. This book was released on 1965 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.
Author : Oliver Aberth
Publisher : Academic Press
ISBN 13 : 9780120417520
Total Pages : 212 pages
Book Rating : 4.4/5 (175 download)
Download or read book Computable Calculus written by Oliver Aberth and published by Academic Press. This book was released on 2001-06-04 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computable Calculus treats the fundamental topic of calculus in a novel way that is more in tune with today's computer age. Comprising 11 chapters and an accompanying CD-ROM, the book presents mathematical analysis that has been created to deal with constructively defined concepts. The book's "show your work" approach makes it easier to understand the pitfalls of various computations and, more importantly, how to avoid these pitfalls. The accompanying CD-ROM has self-contained programs that interact with the text, providing for easy grasp of the new concepts and enabling readers to write their own demonstration programs. Contains software on CD ROM: The accompanying software demonstrates, through simulation and exercises, how each concept of calculus can be associated with a program for the 'ideal computer' Using this software readers will be able to write their own demonstration programs
Author : James R. Munkres
Publisher : CRC Press
ISBN 13 : 042996269X
Total Pages : 381 pages
Book Rating : 4.4/5 (299 download)
Download or read book Analysis On Manifolds written by James R. Munkres and published by CRC Press. This book was released on 2018-02-19 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic calculus and linear algebra. Sections include series of problems to reinforce concepts.
