An Infinitesimal Approach

Author: H. Jerome Keisler

Publisher: Courier Corporation

ISBN: 0486484521

Category: Mathematics

Page: 913

View: 4080

This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including the basic concepts of the derivative, continuity, and the integral, plus traditional limit concepts and approximation problems. Additional subjects include transcendental functions, series, vectors, partial derivatives, and multiple integrals. 2007 edition.
Read More

Author: Vladimir Ivanovich Smirnov

Publisher: Pergamon

ISBN: N.A

Category: Mathematical analysis

Page: 635

View: 8902

Determinants the solution of systems of equations; Linear transformation and quadratic forms; The basic theory of group and linear representations of groups.
Read More

Author: P.R. Masani,R. C. Patel,D. J. Patil

Publisher: Elsevier

ISBN: 1483274896

Category: Mathematics

Page: 352

View: 4328

Elementary Calculus presents a three semester introductory course on calculus. This book reveals the conceptual development of the calculus, taking into cognizance the technical and applied sides and standards of clarity and rigor that prevail in mathematics. The topics discussed include the basic laws of numbers, classification of real functions, and concept of instantaneous velocity. The limits of functions defined on intervals, derivatives of the trigonometric functions, and standard logarithmic function are also reviewed. This text likewise considers integration by substitution, lengths of plane curves, and simple harmonic motion. This publication is designed for students who have a knowledge of elementary trigonometry, and either have had a one semester course on analytic or coordinate geometry or might take such a course with calculus.
Read More

A Book for Beginners

Author: N.A

Publisher: CUP Archive

ISBN: N.A

Category: Calculus

Page: 194

View: 7662

Read More

Author: Milton Brockett Porter,Hyman Joseph Ettlinger

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 304

View: 1551

Read More

From Elementary Calculus to the Beginnings of Analysis

Author: Andrei Bourchtein,Ludmila Bourchtein

Publisher: CRC Press

ISBN: 1482246678

Category: Mathematics

Page: 362

View: 5066

This book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis. It helps engineering, natural sciences, and mathematics students tackle commonly made erroneous conjectures. The book encourages students to think critically and analytically, and helps to reveal common errors in many examples. In this book, the authors present an overview of important concepts and results in calculus and real analysis by considering false statements, which may appear to be true at first glance. The book covers topics concerning the functions of real variables, starting with elementary properties, moving to limits and continuity, and then to differentiation and integration. The first part of the book describes single-variable functions, while the second part covers the functions of two variables. The many examples presented throughout the book typically start at a very basic level and become more complex during the development of exposition. At the end of each chapter, supplementary exercises of different levels of complexity are provided, the most difficult of them with a hint to the solution. This book is intended for students who are interested in developing a deeper understanding of the topics of calculus. The gathered counterexamples may also be used by calculus instructors in their classes.
Read More

Author: G. W. Caunt

Publisher: Clarke Press

ISBN: 9781447457503

Category: Mathematics

Page: 390

View: 8131

Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Read More

Author: A. J. Roberts

Publisher: SIAM

ISBN: 9780898718225

Category: Calculus

Page: 128

View: 7496

Financial mathematics and its calculus introduced in an accessible manner for undergraduate students. Topics covered include financial indices as stochastic processes, Ito's stochastic calculus, the Fokker-Planck Equation and extra MATLAB/SCILAB code.
Read More

Author: William Fogg Osgood

Publisher: N.A

ISBN: N.A

Category: Differential calculus

Page: 224

View: 3262

Read More

Author: Frederick S. 1864- Woods,Frederick H. 1865- Joint Author Bailey

Publisher: Palala Press

ISBN: 9781346838038

Category:

Page: 332

View: 9906

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Read More

Author: Frederick H. Bailey Frederick S. Woods

Publisher: N.A

ISBN: 9781375793629

Category: History

Page: 328

View: 6272

Read More

A Book for Beginners

Author: N.A

Publisher: CUP Archive

ISBN: N.A

Category: Calculus

Page: 194

View: 9253

Read More