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Author : John Paterson
Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.L/5 ( download)
Download or read book The Calculus of Operations written by John Paterson and published by . This book was released on 1850 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kosaku Yosida
Publisher : Springer Science & Business Media
ISBN 13 : 1461211182
Total Pages : 182 pages
Book Rating : 4.4/5 (612 download)
Download or read book Operational Calculus written by Kosaku Yosida and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the end of the last century, Oliver Heaviside inaugurated an operational calculus in connection with his researches in electromagnetic theory. In his operational calculus, the operator of differentiation was denoted by the symbol "p". The explanation of this operator p as given by him was difficult to understand and to use, and the range of the valid ity of his calculus remains unclear still now, although it was widely noticed that his calculus gives correct results in general. In the 1930s, Gustav Doetsch and many other mathematicians began to strive for the mathematical foundation of Heaviside's operational calculus by virtue of the Laplace transform -pt e f(t)dt. ( However, the use of such integrals naturally confronts restrictions con cerning the growth behavior of the numerical function f(t) as t ~ ~. At about the midcentury, Jan Mikusinski invented the theory of con volution quotients, based upon the Titchmarsh convolution theorem: If f(t) and get) are continuous functions defined on [O,~) such that the convolution f~ f(t-u)g(u)du =0, then either f(t) =0 or get) =0 must hold. The convolution quotients include the operator of differentiation "s" and related operators. Mikusinski's operational calculus gives a satisfactory basis of Heaviside's operational calculus; it can be applied successfully to linear ordinary differential equations with constant coefficients as well as to the telegraph equation which includes both the wave and heat equa tions with constant coefficients.
Author : Robert Bell Booth CARMICHAEL
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.0/5 (25 download)
Download or read book A Treatise on the Calculus of Operations, etc written by Robert Bell Booth CARMICHAEL and published by . This book was released on 1855 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lothar Berg
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)
Download or read book Introduction to the Operational Calculus written by Lothar Berg and published by . This book was released on 1967 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Carmichael
Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.R/5 (5 download)
Download or read book A Treatise on the Calculus of Operations written by Robert Carmichael and published by . This book was released on 1855 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 595 pages
Book Rating : 4.8/5 (145 download)
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.
Author : Egmont Colerus
Publisher : Courier Corporation
ISBN 13 : 0486170330
Total Pages : 274 pages
Book Rating : 4.4/5 (861 download)
Download or read book Mathematics for Everyman written by Egmont Colerus and published by Courier Corporation. This book was released on 2013-02-04 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This witty and engaging stylebook presents the fundamentals of mathematical operations: number systems, first steps in algebra and algebraic notation, common fractions and equations, and much more. 1958 edition.
Author : Sir Benjamin Collins Brodie
Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.3/5 ( download)
Download or read book The Calculus of Chemical Operations: On the analysis of chemical events written by Sir Benjamin Collins Brodie and published by . This book was released on 1877 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Denis R. Bell
Publisher : Courier Corporation
ISBN 13 : 0486152057
Total Pages : 124 pages
Book Rating : 4.4/5 (861 download)
Download or read book The Malliavin Calculus written by Denis R. Bell and published by Courier Corporation. This book was released on 2012-12-03 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text presents detailed accounts of the different forms of the theory developed by Stroock and Bismut, discussions of the relationship between these two approaches, and a variety of applications. 1987 edition.
Author : A. C. Burdette
Publisher : Academic Press
ISBN 13 : 1483265226
Total Pages : 425 pages
Book Rating : 4.4/5 (832 download)
Download or read book An Introduction to Analytic Geometry and Calculus written by A. C. Burdette and published by Academic Press. This book was released on 2014-05-10 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Analytic Geometry and Calculus covers the basic concepts of analytic geometry and the elementary operations of calculus. This book is composed of 14 chapters and begins with an overview of the fundamental relations of the coordinate system. The next chapters deal with the fundamentals of straight line, nonlinear equations and graphs, functions and limits, and derivatives. These topics are followed by a discussion of some applications of previously covered mathematical subjects. This text also considers the fundamentals of the integrals, trigonometric functions, exponential and logarithm functions, and methods of integration. The final chapters look into the concepts of parametric equations, polar coordinates, and infinite series. This book will prove useful to mathematicians and undergraduate and graduate mathematics students.
Author : Richard Courant
Publisher :
ISBN 13 : 9780195105193
Total Pages : 596 pages
Book Rating : 4.1/5 (51 download)
Download or read book What is Mathematics? written by Richard Courant and published by . This book was released on 1996 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.
Author : Sanjoy Mahajan
Publisher : MIT Press
ISBN 13 : 0262265591
Total Pages : 152 pages
Book Rating : 4.2/5 (622 download)
Download or read book Street-Fighting Mathematics written by Sanjoy Mahajan and published by MIT Press. This book was released on 2010-03-05 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
Author : Mark Burgin
Publisher : Springer Science & Business Media
ISBN 13 : 1441998756
Total Pages : 163 pages
Book Rating : 4.4/5 (419 download)
Download or read book Hypernumbers and Extrafunctions written by Mark Burgin and published by Springer Science & Business Media. This book was released on 2012-05-16 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Hypernumbers and Extrafunctions” presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This brief extends classical calculus based on real functions by introducing extrafunctions, which generalize not only the concept of a conventional function but also the concept of a distribution. Extrafucntions have been also efficiently used for a rigorous mathematical definition of the Feynman path integral, as well as for solving some problems in probability theory, which is also important for contemporary physics. This book introduces a new theory that includes the theory of distributions as a subtheory, providing more powerful tools for mathematics and its applications. Specifically, it makes it possible to solve PDE for which it is proved that they do not have solutions in distributions. Also illustrated in this text is how this new theory allows the differentiation and integration of any real function. This text can be used for enhancing traditional courses of calculus for undergraduates, as well as for teaching a separate course for graduate students.
Author : Francis B. Hildebrand
Publisher : Courier Corporation
ISBN 13 : 0486138380
Total Pages : 386 pages
Book Rating : 4.4/5 (861 download)
Download or read book Methods of Applied Mathematics written by Francis B. Hildebrand and published by Courier Corporation. This book was released on 2012-06-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book offers engineers and physicists working knowledge of a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, but nevertheless extremely useful when applied to typical problems in many different fields. It deals principally with linear algebraic equations, quadratic and Hermitian forms, operations with vectors and matrices, the calculus of variations, and the formulations and theory of linear integral equations. Annotated problems and exercises accompany each chapter.
Author : Augustus De Morgan
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.B/5 (1 download)
Download or read book A Treatise on the Calculus of Functions written by Augustus De Morgan and published by . This book was released on 1836 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bartholomew Price
Publisher :
ISBN 13 :
Total Pages : 672 pages
Book Rating : 4.F/5 ( download)
Download or read book A Treatise on Infinitesimal Calculus written by Bartholomew Price and published by . This book was released on 1857 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bartholomew Price
Publisher : BoD – Books on Demand
ISBN 13 : 3382332019
Total Pages : 646 pages
Book Rating : 4.3/5 (823 download)
Download or read book A Treatise on Infinitesimal Calculus written by Bartholomew Price and published by BoD – Books on Demand. This book was released on 2023-06-16 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1857. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.
