Download or read book Calculus Without Limits written by John C. Sparks and published by AuthorHouse. This book was released on 2004-06 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: First time author Ledesma sets his adventure tale in early America. Antonios' travels and adventures carry him across two continents, Europe and America in his quest for a new life. He leaves the safety and love of his family in Italy for uncertain life in a far off land. His dreams, anxieties and fears are borne out as he encounters and conquers the harsh strange and challenging world that surrounds him. Each tantalizing adventure brings our hero closer to maturity, self-esteem and the molding of his character. He experiences love; fear and death on his long journey and witnesses the history that shaped early America. 1n 1846 he becomes an early pioneer by joining a wagon train bound for California. During the trip he experiences encounters with Indians, death, accidents and newly establishes a long lasting friendship. He wanders around California finding romance and land. He eventually starts a grape vineyard and establishes himself as a rancher, husband and father. His life in early California is entwined with such history making events as the Gold Rush, statehood, the Pony Express, building of the Transcontinental Railroad and many more historical events. Reading this heart warming young mans story will enrich the readers to understand the personal triumphs, hardships and the west's rich history

Download or read book Calculus Without Limits written by Sig. Giuseppe FURNARI and published by Lulu.com. This book was released on 2009-09-03 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Greek of the classical age, with Euclid and Archimedes, have conceived very next ideas to those that have allowed the invention of the Infinitesimal and Integral calculation. The author thinks how just Euclide has grazed the concept of infinitesimal, with his theorem related to the "horn angle". It was then in 1600 that Leibniz and Newton they created the Infinitesimal Calculus and that Integral. But the infinitesimals have always elicited criticisms for their logical contradictions, immediately stigmatized by the bishop Berkeley. With the method of the double limit of Weierstrass, the problem apparently, seems overcome. Then in the 1900 Robinson overcome the impasse from the logical point of view, but resorting to the Analysis not-standard, in the sphere of not Archimedean fields. With this work the author overcomes the issue of the infinitesimals, adopting a very classical methodology and, above all, of easy understanding.

Download or read book Calculus Without Limits written by Giuseppe Furnari and published by Lulu.com. This book was released on 2010-03-24 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Greek of the classical age, with Euclid and Archimedes, have conceived very next ideas to those that have allowed the invention of the Infinitesimal and Integral calculation. The author thinks how just Euclide has grazed the concept of infinitesimal, with his theorem related to the "horn angle". It was then in 1600 that Leibniz and Newton they created the Infinitesimal Calculus and that Integral. But the infinitesimals have always elicited criticisms for their logical contradictions, immediately stigmatized by the bishop Berkeley. With the method of the double limit of Weierstrass, the problem apparently, seems overcome. Then in the 1900 Robinson overcome the impasse from the logical point of view, but resorting to the Analysis not-standard, in the sphere of not Archimedean fields. With this work the author overcomes the issue of the infinitesimals, adopting a very classical methodology and, above all, of easy understanding.

Download or read book Mathematics under the Microscope written by Alexandre Borovik and published by American Mathematical Soc.. This book was released on 2010 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses, from a working mathematician's point of view, the mystery of mathematical intuition: Why are certain mathematical concepts more intuitive than others? And to what extent does the 'small scale' structure of mathematical concepts and algorithms reflect the workings of the human brain?

Download or read book Calculus Reordered written by David M. Bressoud and published by Princeton University Press. This book was released on 2021-05-04 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus grew to what we know today. David Bressoud explains why calculus is credited to Isaac Newton and Gottfried Leibniz in the seventeenth century, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus presents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus's birth in the Hellenistic Eastern Mediterranean--especially Syracuse in Sicily and Alexandria in Egypt--as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus's evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends instead that the historical order--which follows first integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities--makes more sense in the classroom environment. Exploring the motivations behind calculus's discovery, Calculus Reordered highlights how this essential tool of mathematics came to be.

Download or read book Advanced Calculus Revised Edition written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Download or read book Change Is the Only Constant written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2019-10-08 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The next book from Ben Orlin, the popular math blogger and author of the underground bestseller Math With Bad Drawings. Change Is The Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and wonderfully bad drawings. Change is the Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and memorably bad drawings. By spinning 28 engaging mathematical tales, Orlin shows us that calculus is simply another language to express the very things we humans grapple with every day -- love, risk, time, and most importantly, change. Divided into two parts, "Moments" and "Eternities," and drawing on everyone from Sherlock Holmes to Mark Twain to David Foster Wallace, Change is the Only Constant unearths connections between calculus, art, literature, and a beloved dog named Elvis. This is not just math for math's sake; it's math for the sake of becoming a wiser and more thoughtful human.

Download or read book Cultural Foundations of Mathematics written by C. K. Raju and published by Pearson Education India. This book was released on 2007 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Calculus with Applications and Computing written by P. Lax and published by Springer. This book was released on 1983-12-21 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is vigorously and brilliantly pursued in our time on a very broad front; yet the authors of this text feel that not enough mathematical talent is devoted to furthering the interaction of mathematics with other sciences and disciplines. This imbalance is harmful to both mathematics and its users; to redress this imbalance is an educational task which must start at the beginning of the college curriculum. No course is more suited for this than the calculus; there students can learn at first hand that mathe matics is the language in which scientific ideas can be precisely formulated, that science is a source of mathematical ideas which profoundly shape the development of mathematics, and last but not least that mathematics can furnish brilliant answers to important scientific problems. Our purpose in writing this text has been to emphasize this relation of calculus to science. We hope to accomplish this by devoting whole connected chapters to single-or several related-scientific topics, letting the reader observe how the notions of calculus are used to formulate the basic laws of science and how the methods of calculus are used to deduce consequences of those basic laws. Thus the student sees calculus at work on worthwhile tasks.

Download or read book Active Calculus 2018 written by Matthew Boelkins and published by Createspace Independent Publishing Platform. This book was released on 2018-08-13 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface.

Download or read book Calculus written by Gilbert Strang and published by . This book was released on 2016-03-07 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.

Download or read book APEX Calculus written by Gregory Hartman and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).

Download or read book Foundations of Differential Calculus written by Euler and published by Springer Science & Business Media. This book was released on 2006-05-04 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.

Download or read book Calculus Without Limits written by David McMahon and published by . This book was released on 2009-08-24 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus without limits uses an innovative approach to teaching calculus by showing you all the tricks used to solve problems and pass exams. Each chapter is packed with examples solved in complete detail, followed by questions which reinforce learning and alert you to weak areas. Covers most aspects of first year calculus course and the AP exam, including:* Limits* Derivatives* Max-Min problems* Definite and Indefinite Integrals* Integration by Parts* Trig substitution, integration by partial fractions* Integration of trig, exponential and log functions* Indeterminate forms and L'Hopitals rule* An introduction to differential equations* Improper integrationPerfect for self-study, to help you get through first year calculus, or to prepare for the AP Calculus exam. Written in an informal style, this easy to understand yet information packed guide can help anyone learn calculus.

Download or read book The Outer Limits of Reason written by Noson S. Yanofsky and published by MIT Press. This book was released on 2016-11-04 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exploration of the scientific limits of knowledge challenges our deep-seated beliefs about our universe, our rationality, and ourselves. “A must-read for anyone studying information science.” —Publishers Weekly, starred review Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own intuitions about the world—including our ideas about space, time, and motion, and the complex relationship between the knower and the known. Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve: • perfectly formed English sentences that make no sense • different levels of infinity • the bizarre world of the quantum • the relevance of relativity theory • the causes of chaos theory • math problems that cannot be solved by normal means • statements that are true but cannot be proven Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

Download or read book Calculus Without Derivatives written by Jean-Paul Penot and published by Springer Science & Business Media. This book was released on 2012-11-09 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.

Download or read book Elementary Calculus written by H. Jerome Keisler and published by Orange Groove Books. This book was released on 2009-09-01 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: