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Calculus With Differential Equations

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Calculus with Differential Equations

Calculus with Differential Equations Book
Author : Dale E. Varberg,Edwin Joseph Purcell,Steven E. Rigdon
Publisher : Pearson College Division
Release : 2006-04
ISBN : 9780132306331
Language : En, Es, Fr & De

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Book Description :

For freshman/sophomore-level courses treating calculus of both one and several variables with additional material on differential equations. Clear and Concise! Varberg focuses on the most critical concepts freeing you to teach the way you want! This popular calculus text remains the shortest mainstream calculus book available -- yet covers all the material needed by, and at an appropriate level for, students in engineering, science, and mathematics. It's conciseness and clarity helps students focus on, and understand, critical concepts in calculus without them getting bogged down and lost in excessive and unnecessary detail. It is accurate, without being excessively rigorous, up-to-date without being faddish. The authors make effective use of computing technology, graphics, and applications. Ideal for instructors who want a no-nonsense, concisely written treatment.

Calculus and Ordinary Differential Equations

Calculus and Ordinary Differential Equations Book
Author : David Pearson
Publisher : Elsevier
Release : 1995-12-01
ISBN : 008092865X
Language : En, Es, Fr & De

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Book Description :

Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students.

Dictionary of Analysis Calculus and Differential Equations

Dictionary of Analysis  Calculus  and Differential Equations Book
Author : Douglas N. Clark
Publisher : CRC Press
Release : 1999-12-15
ISBN : 9781420049992
Language : En, Es, Fr & De

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Book Description :

Clear, rigorous definitions of mathematical terms are crucial to good scientific and technical writing-and to understanding the writings of others. Scientists, engineers, mathematicians, economists, technical writers, computer programmers, along with teachers, professors, and students, all have the occasional-if not frequent-need for comprehensible, working definitions of mathematical expressions. To meet that need, CRC Press proudly introduces its Dictionary of Analysis, Calculus, and Differential Equations - the first published volume in the CRC Comprehensive Dictionary of Mathematics. More than three years in development, top academics and professionals from prestigious institutions around the world bring you more than 2,500 detailed definitions, written in a clear, readable style and complete with alternative meanings, and related references.

Calculus and Differential Equations with Mathematica

Calculus and Differential Equations with Mathematica Book
Author : Pramote Dechaumphai
Publisher : Alpha Science International, Limited
Release : 2016-05-04
ISBN : 9781783322640
Language : En, Es, Fr & De

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Book Description :

Symbolic mathematics software have played an important role in learning calculus and differential equations. MATHEMATICA is one of the most powerful software being used to solve various types of problems in mathematics. This book presents a clear and easy-to-understand on how to use MATHEMATICA to solve calculus and differential equation problems. The book contains essential topics that are taught in calculus and differential equation courses. These topics are the limits, differentiation, integration, series, ordinary differential equations, Laplace and Fourier transforms, as well as special functions normally encountered in solving science and engineering problems. Numerical methods, in addition, are employed when the exact solutions are not available. The finite element method developed in the latest MATHEMATICA version is used to analyse partial differential equations for problems with complex geometry. The partial differential equations could be in elliptic, parabolic and hyperbolic forms. A large number of examples are presented with detailed derivation for their solutions before using MATHEMATICA to confirm the same results. With the clear explanation of all topics in this book and with the help of MATHEMATICA software, students will enjoy learning calculus and differential equations as compared to the traditional way in the past.

Multivariable Calculus Linear Algebra and Differential Equations

Multivariable Calculus  Linear Algebra  and Differential Equations Book
Author : Stanley I. Grossman
Publisher : Academic Press
Release : 2014-05-10
ISBN : 1483218031
Language : En, Es, Fr & De

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Book Description :

Multivariable Calculus, Linear Algebra, and Differential Equations, Second Edition contains a comprehensive coverage of the study of advanced calculus, linear algebra, and differential equations for sophomore college students. The text includes a large number of examples, exercises, cases, and applications for students to learn calculus well. Also included is the history and development of calculus. The book is divided into five parts. The first part includes multivariable calculus material. The second part is an introduction to linear algebra. The third part of the book combines techniques from calculus and linear algebra and contains discussions of some of the most elegant results in calculus including Taylor's theorem in "n" variables, the multivariable mean value theorem, and the implicit function theorem. The fourth section contains detailed discussions of first-order and linear second-order equations. Also included are optional discussions of electric circuits and vibratory motion. The final section discusses Taylor's theorem, sequences, and series. The book is intended for sophomore college students of advanced calculus.

Calculus of Variations and Partial Differential Equations

Calculus of Variations and Partial Differential Equations Book
Author : Luigi Ambrosio,Norman Dancer
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 3642571867
Language : En, Es, Fr & De

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Book Description :

At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to PDEs respectively. This self-contained presentation accessible to PhD students bridged the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and neatly illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results.

Ordinary Differential Equations and Calculus of Variations

Ordinary Differential Equations and Calculus of Variations Book
Author : M V Makarets,V Yu Reshetnyak
Publisher : World Scientific
Release : 1995-06-30
ISBN : 9814500763
Language : En, Es, Fr & De

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Book Description :

This problem book contains exercises for courses in differential equations and calculus of variations at universities and technical institutes. It is designed for non-mathematics students and also for scientists and practicing engineers who feel a need to refresh their knowledge. The book contains more than 260 examples and about 1400 problems to be solved by the students — much of which have been composed by the authors themselves. Numerous references are given at the end of the book to furnish sources for detailed theoretical approaches, and expanded treatment of applications. Contents:First Order Differential EquationsN-th Order Differential EquationsLinear Second Order EquationsSystems of Differential EquationsPartial Equations of the First OrderNonlinear Equations and StabilityCalculus of VariationsAnswers to Problems Readership: Mathematicians and engineers. keywords:Examples;Differential Equations;Calculus of Variations “… the book can be successfully used both by students and practising engineers.” Mathematics Abstracts

Calculus and Differential Equations with MATLAB

Calculus and Differential Equations with MATLAB Book
Author : Pramote Dechaumphai
Publisher : Unknown
Release : 2016-06-30
ISBN : 9781783322657
Language : En, Es, Fr & De

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Book Description :

Calculus and Differential Equations with MATLAB presents a clear, easy-to-understand on how to use MATLAB to solve calculus and differential equation problems. The book contains eleven chapters with essential materials that are taught in calculus and differential equation courses. These include: - Limits, differentiation and integration. - Taylor, maclaurin and other infinite series. - Ordinary differential equations. - Laplace and Fourier transforms. - Partial differential equations. - Numerical and finite element methods. - Special functions (error, gamma, beta, Bessel, Airy, Legendre, etc.). Exact solutions are derived before showing MATLAB commands to provide the same solutions. Numerical methods are used to obtain approximate solutions when exact solutions are not available. The book contains a large number of examples and homework problems to demonstrate the capability of symbolic mathematics in MATLAB for solving calculus and differential equation problems.

Malliavin Calculus with Applications to Stochastic Partial Differential Equations

Malliavin Calculus with Applications to Stochastic Partial Differential Equations Book
Author : Marta Sanz-Sole
Publisher : CRC Press
Release : 2005-08-17
ISBN : 9781439818947
Language : En, Es, Fr & De

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Book Description :

Developed in the 1970s to study the existence and smoothness of density for the probability laws of random vectors, Malliavin calculus--a stochastic calculus of variation on the Wiener space--has proven fruitful in many problems in probability theory, particularly in probabilistic numerical methods in financial mathematics. This book presents applications of Malliavin calculus to the analysis of probability laws of solutions to stochastic partial differential equations driven by Gaussian noises that are white in time and coloured in space. The first five chapters introduce the calculus itself based on a general Gaussian space, going from the simple, finite-dimensional setting to the infinite-dimensional one. The final three chapters discuss recent research on regularity of the solution of stochastic partial differential equations and the existence and smoothness of their probability laws. About the author: Marta Sanz-Solé is Professor at the Faculty of Mathematics, University of Barcelona. She is a leading member of the research group on stochastic analysis at Barcelona, and in 1998 she received the Narcis Monturiol Award of Scientific and Technological Excellence from the autonomous government of Catalonia.

Differential Equations and Vector Calculus

Differential Equations and Vector Calculus Book
Author : Dr T.K.V. Iyengar & Dr B. Krishna Gandhi & S. Ranganadham & Dr M.V.S.S.N. Prasad
Publisher : S. Chand Publishing
Release : 2022-08-13
ISBN : 9352838262
Language : En, Es, Fr & De

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Book Description :

In this book, how to solve such type equations has been elaborately described. In this book, vector differential calculus is considered, which extends the basic concepts of (ordinary) differential calculus, such as, continuity and differentiability to vector functions in a simple and natural way. This book comprises previous question papers problems at appropriate places and also previous GATE questions at the end of each chapter for the

Differential Equations From Calculus to Dynamical Systems Second Edition

Differential Equations  From Calculus to Dynamical Systems  Second Edition Book
Author : Virginia W. Noonburg
Publisher : American Mathematical Soc.
Release : 2020-08-28
ISBN : 1470463296
Language : En, Es, Fr & De

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Book Description :

A thoroughly modern textbook for the sophomore-level differential equations course. The examples and exercises emphasize modeling not only in engineering and physics but also in applied mathematics and biology. There is an early introduction to numerical methods and, throughout, a strong emphasis on the qualitative viewpoint of dynamical systems. Bifurcations and analysis of parameter variation is a persistent theme. Presuming previous exposure to only two semesters of calculus, necessary linear algebra is developed as needed. The exposition is very clear and inviting. The book would serve well for use in a flipped-classroom pedagogical approach or for self-study for an advanced undergraduate or beginning graduate student. This second edition of Noonburg's best-selling textbook includes two new chapters on partial differential equations, making the book usable for a two-semester sequence in differential equations. It includes exercises, examples, and extensive student projects taken from the current mathematical and scientific literature.

Multivariable Mathematics

Multivariable Mathematics Book
Author : Richard E. Williamson,Hale F. Trotter
Publisher : Pearson
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This book explores the standard problem-solving techniques of multivariable mathematics -- integrating vector algebra ideas with multivariable calculus and differential equations. KEY TOPICS: Unique coverage including, the introduction of vector geometry and matrix algrebra, the early introduction of the gradient vector as the key to differentiability, optional numerical methods. MARKET: For any reader interested in learning more about this discipline.

CALCULUS DIFFERENTIAL EQUATIONS

CALCULUS   DIFFERENTIAL EQUATIONS Book
Author : B.R. THAKUR,HARI KISHAN
Publisher : Ram Prasad Publications(R.P.H.)
Release : 2022-08-13
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Contents Chapter Page No. Calculus and Diffeential Equations Unit-I 0.Historical Background....i-xvi 1.Successive Differentiation and Leibnitz’s Theorem....1-33 2.Maclaurin and Taylor Series Expansions....34–51 3.Partial Differentiation....52-74 4.Euler’s Theorem on Homogeneous Functions....75-98 5.Asymptotes....99-127 Unit-II 6.Curvature....128-162 7.Tests for Concavity and Convexity, Points of Inflexion....163-173 8.Mulitiple Points, Tracing of Curves in Cartesian and Polar Coordinates....174-205 Unit-III 9.Integration of Irrational, Algebraic and Transcendental Functions....206-276 10.Definite Integrals....277-302 11.Reduction Formulae....303-339 12.Double and Triple Integrals, Dirichlet’s Integrals....340-376 13.Quadrature....377-407 14.Rectification....408-419 Unit-IV 15.Linear Differential Equations and Equations Reducible to the Linear Form, Exact Differential Equations....420-467 16.First Order and Higher Degree Equations Solvable for x, y and p, Clairaut's Form and Singular Solutions....468-500 17.Geometrical Meaning of a Differential Equation and Orthogonal Trajectories....501-516 Unit-V 18.Linear Differential Equations With Constant Coefficients....517-573 19.Homogeneous Linear Ordinary Differential Equations....574-590 20.Linear Differential Equations of Second Order....591-632

Differential Equations and the Calculus of Variations

Differential Equations and the Calculus of Variations Book
Author : Lev Ernestovich El?sgol?ts,Lev Ėrnestovich Ėlʹsgolʹt︠s︡
Publisher : Unknown
Release : 1970
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Differential Equations and the Calculus of Variations book written by Lev Ernestovich El?sgol?ts,Lev Ėrnestovich Ėlʹsgolʹt︠s︡, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Calculus

Calculus Book
Author : Gilbert Strang,Edwin "Jed" Herman
Publisher : Unknown
Release : 2016-03-30
ISBN : 9781947172814
Language : En, Es, Fr & De

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Book Description :

Download Calculus book written by Gilbert Strang,Edwin "Jed" Herman, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Elementary Differential and Integral Calculus

Elementary Differential and Integral Calculus Book
Author : G. Lewingdon Parsons
Publisher : Cambridge University Press
Release : 2016-07-28
ISBN : 1316612694
Language : En, Es, Fr & De

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Book Description :

Originally published in 1936, this book was written with the intention of preparing candidates for the Higher Certificate Examinations. The text was created to bridge the gap between introductions to differential and integral calculus and advanced textbooks on the subject. This volume will be of value to anyone with an interest in differential and integral calculus, mathematics and the history of education.

Global Pseudo differential Calculus on Euclidean Spaces

Global Pseudo differential Calculus on Euclidean Spaces Book
Author : Fabio Nicola,Luigi Rodino
Publisher : Springer Science & Business Media
Release : 2011-01-30
ISBN : 376438512X
Language : En, Es, Fr & De

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Book Description :

This book presents a global pseudo-differential calculus in Euclidean spaces, which includes SG as well as Shubin classes and their natural generalizations containing Schroedinger operators with non-polynomial potentials. This calculus is applied to study global hypoellipticity for several pseudo-differential operators. The book includes classic calculus as a special case. It will be accessible to graduate students and of benefit to researchers in PDEs and mathematical physics.

Notes on Diffy Qs

Notes on Diffy Qs Book
Author : Jiri Lebl
Publisher : Unknown
Release : 2019-11-13
ISBN : 9781706230236
Language : En, Es, Fr & De

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Book Description :

Version 6.0. An introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, the Laplace transform, and power series methods. It has a detailed appendix on linear algebra. The book was developed and used to teach Math 286/285 at the University of Illinois at Urbana-Champaign, and in the decade since, it has been used in many classrooms, ranging from small community colleges to large public research universities. See https: //www.jirka.org/diffyqs/ for more information, updates, errata, and a list of classroom adoptions.

Differential Calculus

Differential Calculus Book
Author : H. S. Dhami
Publisher : New Age International
Release : 2007
ISBN : 9788122411461
Language : En, Es, Fr & De

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Book Description :

Differential Calculus, An Outgrowth Of The Problems Concerned With Slope Of Curved Lines And The Areas Enclosed By Them Has Developed So Much That Texts Are Required Which May Lead The Students Directly To The Heart Of The Subject And Prepare Them For Challenges Of The Field. The Present Book Is An Attempt In This Regard. An Excellent Book On Differential Calculus This Book Has Been Meticulously Planned And Numerous Solved Examples Have Been Selected To Make The Subject Interesting; Besides Problems Are Given At The End Of Each Main Theorem Which Supplement The Text And By Solving Them The Reader Can Judge His Level Of Understanding Of The Given Facts.Exercises Have Been Framed By Arranging Questions In Such A Manner That After Doing Illustrative Examples, One Should Not Feel Difficulty In Solving Any Problem. Considerable Material Has Been Included Here That Covers A Large Number Of Courses. This Has Been Done To Make The Book More Flexible, To Provide A Useful Book Of Reference And To Stimulate Further Interest In The Topics.