Tag: Calculus

The Hitchhiker’s Guide to Calculus


Free Download The Hitchhiker’s Guide to Calculus By Michael Spivak
1995 | 122 Pages | ISBN: 1470449625 | PDF | 14 MB
The Hitchhiker’s Guide to Calculus begins with a rapid view of lines and slope. Spivak then takes up non-linear functions and trigonometric functions. He places the magnifying glass on curves in the next chapter and effortlessly leads the reader to the idea of derivative. In the next chapter he tackles speed and velocity, followed by the derivative of sine. Maxima and minima are next. Rolle’s theorem and the MVT form the core of Chapter 11, ""Watching Experts at Play."" The Hitchhiker’s Guide to Calculus closes with a chapter on the integral, the fundamental theorem, and applications of the integral.

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R-Calculus, V Description Logics


Free Download R-Calculus, V: Description Logics
English | 2024 | ISBN: 9819964598 | 393 Pages | PDF EPUB (True) | 59 MB
This book series consists of two parts, decidable description logics and undecidable description logics. It gives the R-calculi for description logics. This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic.

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Stochastic Calculus via Regularizations


Free Download Stochastic Calculus via Regularizations by Francesco Russo, Pierre Vallois
English | November 16, 2022 | ISBN: 303109445X | 669 pages | MOBI | 98 Mb
The book constitutes an introduction to stochastic calculus, stochastic differential equations and related topics such as Malliavin calculus. On the other hand it focuses on the techniques of stochastic integration and calculus via regularization initiated by the authors. The definitions relies on a smoothing procedure of the integrator process, they generalize the usual Itô and Stratonovich integrals for Brownian motion but the integrator could also not be a semimartingale and the integrand is allowed to be anticipating. The resulting calculus requires a simple formalism: nevertheless it entails pathwise techniques even though it takes into account randomness. It allows connecting different types of pathwise and non pathwise integrals such as Young, fractional, Skorohod integrals, enlargement of filtration and rough paths. The covariation, but also high order variations, play a fundamental role in the calculus via regularization, which can also be applied for irregular integrators. A large class of Gaussian processes, various generalizations of semimartingales such that Dirichlet and weak Dirichlet processes are revisited. Stochastic calculus via regularization has been successfully used in applications, for instance in robust finance and on modeling vortex filaments in turbulence. The book is addressed to PhD students and researchers in stochastic analysis and applications to various fields.

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Algebraic Structures and Operator Calculus Volume II Special Functions and Computer Science


Free Download Algebraic Structures and Operator Calculus Volume II: Special Functions and Computer Science by Philip Feinsilver , René Schott
English | PDF | 1994 | 151 Pages | ISBN : 079232921X | 6 MB
In this volume we will present some applications of special functions in computer science. This largely consists of adaptations of articles that have appeared in the literature . Here they are presented in a format made accessible for the non-expert by providing some context. The material on group representations and Young tableaux is introductory in nature. However, the algebraic approach of Chapter 2 is original to the authors and has not appeared previously . Similarly, the material and approach based on Appell states, so formulated, is presented here for the first time . As in all volumes of this series, this one is suitable for self-study by researchers . It is as well appropriate as a text for a course or advanced seminar . The solutions are tackled with the help of various analytical techniques, such as g- erating functions, and probabilistic methods/insights appear regularly . An interesting feature is that, as has been the case in classical applications to physics, special functions arise- here in complexity analysis. And, as in physics, their appearance indicates an underlying Lie structure. Our primary audience is applied mathematicians and theoretical computer scientists . We are quite sure that pure mathematicians will find this volume interesting and useful as well .

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Single Variable Calculus Early Transcendentals


Free Download Jon Rogawski, "Single Variable Calculus: Early Transcendentals"
English | ISBN: 1429210753 | 2007 | 800 pages | PDF | 116 MB
Organized to support an "early transcendentals" approach to the single variable course, this version of Rogawski’s highly anticipated text presents calculus with solid mathematical precision but with an everyday sensibility that puts the main concepts in clear terms. It is rigorous without being inaccessible and clear without being too informal-it has the perfect balance for instructors and their students.

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Introduction to Calculus and Analysis Volume I


Free Download Introduction to Calculus and Analysis: Volume I by Richard Courant , Fritz John
English | PDF | 1989 | 682 Pages | ISBN : N/A | 50.3 MB
From the Preface: (…) The book is addressed to students on various levels, to mathematicians, scientists, engineers. It does not pretend to make the subject easy by glossing over difficulties, but rather tries to help the genuinely interested reader by throwing light on the interconnections and purposes of the whole. Instead of obstructing the access to the wealth of facts by lengthy discussions of a fundamental nature we have sometimes postponed such discussions to appendices in the various chapters. Numerous examples and problems are given at the end of various chapters. Some are challenging, some are even difficult; most of them supplement the material in the text. In an additional pamphlet more problems and exercises of a routine character will be collected, and moreover, answers or hints for the solutions will be given. This first volume of concerned primarily with functions of a single variable, whereas the second volume will discuss the more ramified theories of calculus (…).

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Calculus of Variations (Dover Books on Mathematics)


Free Download I. M. Gelfand, S. V. Fomin, "Calculus of Variations (Dover Books on Mathematics)"
English | 2000 | pages: 256 | ISBN: 0486414485, 0131122924 | EPUB | 17,8 mb
Based on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e.g., canonical equations, variational principles of mechanics, and conservation laws.

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Differential Calculus

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Free Download Shanti Narayan, "Differential Calculus"
English | ASIN : B00YBT4CXM | 2019 | 400 pages | PDF | 7 MB [/center
This textbook commences with a brief outline of development of real numbers, their expression as infinite decimals and their representation by points along a line. While the first part of the textbook is analytical, the latter part deals with the geometrical applications of the subject. Numerous examples and exercises have been provided to support student's understanding. This textbook has been designed to meet the requirements of undergraduate students of BA and BSc courses.[/center]
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APEX Calculus, Version 4.0 (2024)


Free Download APEX Calculus, Version 4.0 by Gregory Hartman
English | PDF | 2018 | 972 Pages | ISBN : N/A | 102.5 MB
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).

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