Download or read book Rudiments of Calculus written by A. Arnold and published by Elsevier. This book was released on 2001-02-07 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents what in our opinion constitutes the basis of the theory of the mu-calculus, considered as an algebraic system rather than a logic. We have wished to present the subject in a unified way, and in a form as general as possible. Therefore, our emphasis is on the generality of the fixed-point notation, and on the connections between mu-calculus, games, and automata, which we also explain in an algebraic way. This book should be accessible for graduate or advanced undergraduate students both in mathematics and computer science. We have designed this book especially for researchers and students interested in logic in computer science, comuter aided verification, and general aspects of automata theory. We have aimed at gathering in a single place the fundamental results of the theory, that are currently very scattered in the literature, and often hardly accessible for interested readers. The presentation is self-contained, except for the proof of the Mc-Naughton's Determinization Theorem (see, e.g., [97]. However, we suppose that the reader is already familiar with some basic automata theory and universal algebra. The references, credits, and suggestions for further reading are given at the end of each chapter.
Download or read book Rudiments of mu calculus written by André Arnold and published by North-Holland. This book was released on 2001 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents what in our opinion constitutes the basis of the theory of the mu-calculus, considered as an algebraic system rather than a logic. We have wished to present the subject in a unified way, and in a form as general as possible. Therefore, our emphasis is on the generality of the fixed-point notation, and on the connections between mu-calculus, games, and automata, which we also explain in an algebraic way. This book should be accessible for graduate or advanced undergraduate students both in mathematics and computer science. We have designed this book especially for researchers and students interested in logic in computer science, comuter aided verification, and general aspects of automata theory. We have aimed at gathering in a single place the fundamental results of the theory, that are currently very scattered in the literature, and often hardly accessible for interested readers. The presentation is self-contained, except for the proof of the Mc-Naughton's Determinization Theorem (see, e.g., [97]. However, we suppose that the reader is already familiar with some basic automata theory and universal algebra. The references, credits, and suggestions for further reading are given at the end of each chapter.
Download or read book Studies in Logic and the Foundations of Mathematics written by A. Arnold and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Calculus Methods Speedy Study Guides written by Speedy Publishing Llc and published by . This book was released on 2014-05 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rudiments of Calculus methods are ordered with an immense degree of specificity. Formulaic applications of universal problems are often best solved with an easily illustrated reference. An annotated chart of the most common and universally-applied Calculus formulas and symbols is a handy way to keep reminders in-check and at-hand. From common core standard procedures to intricate graphical analysis of the unreal and imagined, a concise Calculus reference chart can never be under appreciated. An accessible chart is a key factor in a concrete temporal and logical approach to Calculus problems.
Download or read book Calculus with infinitesimals written by Efraín Soto Apolinar and published by Efrain Soto Apolinar. This book was released on 2020-06-30 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the most important ideas of calculus and its applications. An emphasis is placed on the use of infinitely small quantities (i.e., infinitesimals), which were used in the creation of this branch of mathematics. The goal of the author is to provide a smoother transition to the understanding of the ideas of infinitesimal quantity, derivative, differential, antiderivative, and the definite integral. In order to give the reader an easier approach to learning and understanding these ideas, the same justifications given by the creators of the calculus are explained in this book. The justification of the formulas to compute derivatives is deduced according to its historical genesis with the use of the idea of infinitesimal as stated by Leibniz. Also, the justification of the formulas for antiderivatives is explained in detail. Some applications of the calculus are also covered, among them, extreme values of functions, related rates, arc length, area of regions in the plane, volume, surface area, mass, the center of mass, the moment of inertia, hydrostatic pressure, work, and several more. Mathematical rigor is not emphasized in this work, but instead, the meaning of the concepts and the understanding of the mathematical procedures in order to prepare the reader to apply the calculus in different contexts, among them: geometry, physics, and engineering problems. To motivate more teachers and students to use this book, the topics covered have been arranged according to most of the traditional calculus courses. However, because the theory of limits and the definitions of the ideas of calculus based on limits, were created many years later by Cauchy and Weierstrass, the limits and some related ideas (like continuity and differentiability) are not detailed covered.
Download or read book Calculus in the First Three Dimensions written by Sherman K. Stein and published by Courier Dover Publications. This book was released on 2016-03-15 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to calculus for both undergraduate math majors and those pursuing other areas of science and engineering for whom calculus will be a vital tool. Solutions available as free downloads. 1967 edition.
Download or read book Calculus Methods Speedy Study Guides written by Speedy Publishing and published by Speedy Publishing LLC. This book was released on 2015-04-24 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-digest guide on calculus begins with a thorough yet short definition of sequences. It then proceeds to introduce the fundamental concepts of limit and continuity, and differentiation. This guide is a simple yet highly effective resource for calculus. For students taking the course, calculus can be quite overwhelming but this guide smartly breaks down the components into more understandable bits.
Download or read book Quick Calculus written by Daniel Kleppner and published by John Wiley & Sons. This book was released on 2022-04-19 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover an accessible and easy-to-use guide to calculus fundamentals In Quick Calculus: A Self-Teaching Guide, 3rd Edition, a team of expert MIT educators delivers a hands-on and practical handbook to essential calculus concepts and terms. The author explores calculus techniques and applications, showing readers how to immediately implement the concepts discussed within to help solve real-world problems. In the book, readers will find: An accessible introduction to the basics of differential and integral calculus An interactive self-teaching guide that offers frequent questions and practice problems with solutions. A format that enables them to monitor their progress and gauge their knowledge This latest edition provides new sections, rewritten introductions, and worked examples that demonstrate how to apply calculus concepts to problems in physics, health sciences, engineering, statistics, and other core sciences. Quick Calculus: A Self-Teaching Guide, 3rd Edition is an invaluable resource for students and lifelong learners hoping to strengthen their foundations in calculus.
Download or read book About Mathematics written by Gerald R. Rising and published by Linus Learning. This book was released on 2021 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is an essential component of the educated mind. It has two important roles to play: as queen of the sciences (providing the logical structure that holds science together) and as a handmaiden to those sciences (carrying out the computations that apply scientific concepts.) Unfortunately, a gulf exists between science and the humanities, and our text, About Mathematics, seeks to bridge that gap, to serve humanities students just as humanities texts are offered to inform science students. In doing so, unlike most math texts, we avoid the usual focus on detailed techniques to expose instead some of the important concepts and values of mathematics.
Download or read book The Mathematical Work of Charles Babbage written by J. M. Dubbey and published by Cambridge University Press. This book was released on 2004-02-12 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes Babbage's work on the design and implementation of the difference and analytical engines.
Download or read book A Freshman Honors Course in Calculus and Analytic Geometry Taught at Princeton University written by Emil Artin and published by . This book was released on 2013-02 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book rudiments of mathematics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on the Calculus of Variations written by Oskar Bolza and published by University of Michigan Library. This book was released on 1904 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Learn from the Masters written by Frank Swetz and published by American Mathematical Soc.. This book was released on 1995-12-31 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for high school and college teachers who want to know how they can use the history of mathematics as a pedagogical tool to help their students construct their own knowledge of mathematics. Often, a historical development of a particular topic is the best way to present a mathematical topic, but teachers may not have the time to do the research needed to present the material. This book provides its readers with historical ideas and insights which can be immediately applied in the classroom. The book is divided into two sections: the first on the use of history in high school mathematics, and the second on its use in university mathematics. The articles are diverse, covering fields such as trigonometry, mathematical modeling, calculus, linear algebra, vector analysis, and celestial mechanics. Also included are articles of a somewhat philosophical nature, which give general ideas on why history should be used in teaching and how it can be used in various special kinds of courses. Each article contains a bibliography to guide the reader to further reading on the subject.
Download or read book The Everything Guide to Calculus I written by Greg Hill and published by Adams Media Corporation. This book was released on 2011-01-01 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus is the basis of all advanced science and math, but can be very intimidating. If finding derivatives or understanding integrals has you stumped, this guide offers hundreds of practice exercises and covers all the key concepts of calculus.
Download or read book Summary Report on the Teaching of Mathematics in Japan written by Rikitarō Fujisawa and published by . This book was released on 1912 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wittgenstein on Mathematics written by Severin Schroeder and published by Routledge. This book was released on 2020-12-30 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a detailed account and discussion of Ludwig Wittgenstein’s philosophy of mathematics. In Part I, the stage is set with a brief presentation of Frege’s logicist attempt to provide arithmetic with a foundation and Wittgenstein’s criticisms of it, followed by sketches of Wittgenstein’s early views of mathematics, in the Tractatus and in the early 1930s. Then (in Part II), Wittgenstein’s mature philosophy of mathematics (1937-44) is carefully presented and examined. Schroeder explains that it is based on two key ideas: the calculus view and the grammar view. On the one hand, mathematics is seen as a human activity — calculation — rather than a theory. On the other hand, the results of mathematical calculations serve as grammatical norms. The following chapters (on mathematics as grammar; rule-following; conventionalism; the empirical basis of mathematics; the role of proof) explore the tension between those two key ideas and suggest a way in which it can be resolved. Finally, there are chapters analysing and defending Wittgenstein’s provocative views on Hilbert’s Formalism and the quest for consistency proofs and on Gödel’s incompleteness theorems.
