Rudiments Of Calculus

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Rudiments of Calculus

Author : A. Arnold
Publisher : Elsevier
ISBN 13 : 0080516459
Total Pages : 297 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Rudiments of Calculus by : A. Arnold

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.

Rudiments of [mu]-calculus

Author : André Arnold
Publisher : North-Holland
ISBN 13 : 9780444506207
Total Pages : 277 pages
Book Rating : 4.5/5 (62 download)

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Book Synopsis Rudiments of [mu]-calculus by : André Arnold

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.

Rudiments of Mathematics Part 1

Author :
Publisher : Academic Publishers
ISBN 13 : 9788189781545
Total Pages : 956 pages
Book Rating : 4.7/5 (815 download)

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Book Synopsis Rudiments of Mathematics Part 1 by :

Download or read book Rudiments of Mathematics Part 1 written by and published by Academic Publishers. This book was released on with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus Methods (Speedy Study Guides

Author : Speedy Publishing Llc
Publisher :
ISBN 13 : 9781632874368
Total Pages : 4 pages
Book Rating : 4.8/5 (743 download)

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Book Synopsis Calculus Methods (Speedy Study Guides by : Speedy Publishing Llc

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.

Summary Report on the Teaching of Mathematics in Japan

Author : Rikitarō Fujisawa
Publisher :
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Summary Report on the Teaching of Mathematics in Japan by : Rikitarō Fujisawa

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:

Calculus with infinitesimals

Author : Efraín Soto Apolinar
Publisher : Efrain Soto Apolinar
ISBN 13 :
Total Pages : 263 pages
Book Rating : 4./5 ( download)

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Book Synopsis Calculus with infinitesimals by : Efraín Soto Apolinar

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.

About Mathematics

Author : Gerald R. Rising
Publisher : Linus Learning
ISBN 13 : 160797892X
Total Pages : 314 pages
Book Rating : 4.6/5 (79 download)

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Book Synopsis About Mathematics by : Gerald R. Rising

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.

Calculus in the First Three Dimensions

Author : Sherman K. Stein
Publisher : Courier Dover Publications
ISBN 13 : 0486801144
Total Pages : 644 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Calculus in the First Three Dimensions by : Sherman K. Stein

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.

A History of Mathematics in the United States and Canada

Author : David E. Zitarelli
Publisher : American Mathematical Society
ISBN 13 : 1470472570
Total Pages : 500 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A History of Mathematics in the United States and Canada by : David E. Zitarelli

Download or read book A History of Mathematics in the United States and Canada written by David E. Zitarelli and published by American Mathematical Society. This book was released on 2022-10-25 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first truly comprehensive and thorough history of the development of mathematics and a mathematical community in the United States and Canada. This first volume of the multi-volume work takes the reader from the European encounters with North America in the fifteenth century up to the emergence of a research community the United States in the last quarter of the nineteenth. In the story of the colonial period, particular emphasis is given to several prominent colonial figures—Jefferson, Franklin, and Rittenhouse—and four important early colleges—Harvard, Québec, William & Mary, and Yale. During the first three-quarters of the nineteenth century, mathematics in North America was largely the occupation of scattered individual pioneers: Bowditch, Farrar, Adrain, B. Peirce. This period is given a fuller treatment here than previously in the literature, including the creation of the first PhD programs and attempts to form organizations and found journals. With the founding of Johns Hopkins in 1876 the American mathematical research community was finally, and firmly, founded. The programs at Hopkins, Chicago, and Clark are detailed as are the influence of major European mathematicians including especially Klein, Hilbert, and Sylvester. Klein's visit to the US and his Evanston Colloquium are extensively detailed. The founding of the American Mathematical Society is thoroughly discussed. David Zitarelli was emeritus Professor of Mathematics at Temple University. A decorated and acclaimed teacher, scholar, and expositor, he was one of the world's leading experts on the development of American mathematics. Author or co-author of over a dozen books, this was his magnum opus—sure to become the leading reference on the topic and essential reading, not just for historians. In clear and compelling prose Zitarelli spins a tale accessible to experts, generalists, and anyone interested in the history of science in North America.

A History of Mathematics in the United States and Canada: Volume 1: 1492–1900

Author : David E. Zitarelli
Publisher : American Mathematical Soc.
ISBN 13 : 1470448297
Total Pages : 474 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A History of Mathematics in the United States and Canada: Volume 1: 1492–1900 by : David E. Zitarelli

Download or read book A History of Mathematics in the United States and Canada: Volume 1: 1492–1900 written by David E. Zitarelli and published by American Mathematical Soc.. This book was released on 2019-10-21 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first truly comprehensive and thorough history of the development of mathematics and a mathematical community in the United States and Canada. This first volume of the multi-volume work takes the reader from the European encounters with North America in the fifteenth century up to the emergence of a research community the United States in the last quarter of the nineteenth. In the story of the colonial period, particular emphasis is given to several prominent colonial figures—Jefferson, Franklin, and Rittenhouse—and four important early colleges—Harvard, Québec, William & Mary, and Yale. During the first three-quarters of the nineteenth century, mathematics in North America was largely the occupation of scattered individual pioneers: Bowditch, Farrar, Adrain, B. Peirce. This period is given a fuller treatment here than previously in the literature, including the creation of the first PhD programs and attempts to form organizations and found journals. With the founding of Johns Hopkins in 1876 the American mathematical research community was finally, and firmly, founded. The programs at Hopkins, Chicago, and Clark are detailed as are the influence of major European mathematicians including especially Klein, Hilbert, and Sylvester. Klein's visit to the US and his Evanston Colloquium are extensively detailed. The founding of the American Mathematical Society is thoroughly discussed. David Zitarelli is emeritus Professor of Mathematics at Temple University. A decorated and acclaimed teacher, scholar, and expositor, he is one of the world's leading experts on the development of American mathematics. Author or co-author of over a dozen books, this is his magnum opus—sure to become the leading reference on the topic and essential reading, not just for historians. In clear and compelling prose Zitarelli spins a tale accessible to experts, generalists, and anyone interested in the history of science in North America.

Calculus Methods (Speedy Study Guides)

Author : Speedy Publishing
Publisher : Speedy Publishing LLC
ISBN 13 : 1681276305
Total Pages : 6 pages
Book Rating : 4.6/5 (812 download)

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Book Synopsis Calculus Methods (Speedy Study Guides) by : Speedy Publishing

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.

An Excursion through Elementary Mathematics, Volume III

Author : Antonio Caminha Muniz Neto
Publisher : Springer
ISBN 13 : 331977977X
Total Pages : 648 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis An Excursion through Elementary Mathematics, Volume III by : Antonio Caminha Muniz Neto

Download or read book An Excursion through Elementary Mathematics, Volume III written by Antonio Caminha Muniz Neto and published by Springer. This book was released on 2018-04-17 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This third and last volume covers Counting, Generating Functions, Graph Theory, Number Theory, Complex Numbers, Polynomials, and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.

The Mathematical Work of Charles Babbage

Author : J. M. Dubbey
Publisher : Cambridge University Press
ISBN 13 : 9780521524766
Total Pages : 248 pages
Book Rating : 4.5/5 (247 download)

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Book Synopsis The Mathematical Work of Charles Babbage by : J. M. Dubbey

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.

Wittgenstein on Mathematics

Author : Severin Schroeder
Publisher : Routledge
ISBN 13 : 100031829X
Total Pages : 200 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Wittgenstein on Mathematics by : Severin Schroeder

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.

Learn from the Masters

Author : Frank Swetz
Publisher : American Mathematical Soc.
ISBN 13 : 1470458284
Total Pages : 303 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Learn from the Masters by : Frank Swetz

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.

Luigi Amoroso

Author : Mario Pomini
Publisher : Springer Nature
ISBN 13 : 3031103394
Total Pages : 201 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Luigi Amoroso by : Mario Pomini

Download or read book Luigi Amoroso written by Mario Pomini and published by Springer Nature. This book was released on 2022-10-03 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book outlines the rich and complex path of Luigi Amoroso, the main exponent of the Paretian School in Italy and probably the most important Italian mathematical economist during the interwar period. The author presents, in a systematic form, the evolution of Amoros's thinking and his main achievements. Despite his relevance, many aspects of Amoroso's thought are little known or misunderstood. This volume delves further to explore the Paretian tradition in which Amoroso enlisted, the conservative anti-democratic ideology that prompted his adhesion to fascism, his contribution to defining the main features of economic theory as formal science, and his various contributions to specific fields such as microeconomic theory, equilibrium dynamics, business cycles and non-competitive markets. It will be relevant to students and researchers interested in the history of economic thought.

Lectures on the Calculus of Variations

Author : Oskar Bolza
Publisher : University of Michigan Library
ISBN 13 :
Total Pages : 306 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Lectures on the Calculus of Variations by : Oskar Bolza

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: