Calculus With Differential Equations
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Calculus and Ordinary Differential Equations
Author | : David Pearson |
Publsiher | : Elsevier |
Total Pages | : 240 |
Release | : 1995-12-01 |
ISBN 10 | : 008092865X |
ISBN 13 | : 9780080928654 |
Language | : EN, FR, DE, ES & NL |
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.
Calculus with Differential Equations
Author | : Dale E. Varberg,Edwin Joseph Purcell,Steven E. Rigdon |
Publsiher | : Pearson College Division |
Total Pages | : 863 |
Release | : 2006-04 |
ISBN 10 | : 9780132306331 |
ISBN 13 | : 0132306336 |
Language | : EN, FR, DE, ES & NL |
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.
Dictionary of Analysis Calculus and Differential Equations
Author | : Douglas N. Clark |
Publsiher | : CRC Press |
Total Pages | : 288 |
Release | : 1999-12-15 |
ISBN 10 | : 9781420049992 |
ISBN 13 | : 1420049992 |
Language | : EN, FR, DE, ES & NL |
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
Author | : Pramote Dechaumphai |
Publsiher | : Alpha Science International, Limited |
Total Pages | : 428 |
Release | : 2016-05-04 |
ISBN 10 | : 9781783322640 |
ISBN 13 | : 1783322640 |
Language | : EN, FR, DE, ES & NL |
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.
Calculus and Differential Equations with MATLAB
Author | : Pramote Dechaumphai |
Publsiher | : Unknown |
Total Pages | : 441 |
Release | : 2016-06-30 |
ISBN 10 | : 9781783322657 |
ISBN 13 | : 1783322659 |
Language | : EN, FR, DE, ES & NL |
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.
Multivariable Calculus Linear Algebra and Differential Equations
Author | : Stanley I. Grossman |
Publsiher | : Academic Press |
Total Pages | : 992 |
Release | : 2014-05-10 |
ISBN 10 | : 1483218031 |
ISBN 13 | : 9781483218038 |
Language | : EN, FR, DE, ES & NL |
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
Author | : Luigi Ambrosio,Norman Dancer |
Publsiher | : Springer Science & Business Media |
Total Pages | : 348 |
Release | : 2012-12-06 |
ISBN 10 | : 3642571867 |
ISBN 13 | : 9783642571862 |
Language | : EN, FR, DE, ES & NL |
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
Author | : M V Makarets,V Yu Reshetnyak |
Publsiher | : World Scientific |
Total Pages | : 384 |
Release | : 1995-06-30 |
ISBN 10 | : 9814500763 |
ISBN 13 | : 9789814500760 |
Language | : EN, FR, DE, ES & NL |
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
Stochastic Calculus and Differential Equations for Physics and Finance
Author | : Joseph L. McCauley |
Publsiher | : Cambridge University Press |
Total Pages | : 220 |
Release | : 2013-02-21 |
ISBN 10 | : 0521763401 |
ISBN 13 | : 9780521763400 |
Language | : EN, FR, DE, ES & NL |
Provides graduate students and practitioners in physics and economics with a better understanding of stochastic processes.
Multivariable Mathematics
Author | : Richard E. Williamson,Hale F. Trotter |
Publsiher | : Pearson |
Total Pages | : 838 |
Release | : 2004 |
ISBN 10 | : 1928374650XXX |
ISBN 13 | : UOM:39076002790512 |
Language | : EN, FR, DE, ES & NL |
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.
Ordinary Differential Equations
Author | : Morris Tenenbaum,Harry Pollard |
Publsiher | : Courier Corporation |
Total Pages | : 808 |
Release | : 1963 |
ISBN 10 | : 0486649407 |
ISBN 13 | : 9780486649405 |
Language | : EN, FR, DE, ES & NL |
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.
Malliavin Calculus with Applications to Stochastic Partial Differential Equations
Author | : Marta Sanz-Sole |
Publsiher | : CRC Press |
Total Pages | : 150 |
Release | : 2005-08-17 |
ISBN 10 | : 9781439818947 |
ISBN 13 | : 1439818940 |
Language | : EN, FR, DE, ES & NL |
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 Calculus and Its Applications
Author | : Michael J. Field |
Publsiher | : Courier Corporation |
Total Pages | : 336 |
Release | : 2013-04-10 |
ISBN 10 | : 0486298841 |
ISBN 13 | : 9780486298849 |
Language | : EN, FR, DE, ES & NL |
Based on undergraduate courses in advanced calculus, the treatment covers a wide range of topics, from soft functional analysis and finite-dimensional linear algebra to differential equations on submanifolds of Euclidean space. 1976 edition.
Differential Equations and Vector Calculus
Author | : Dr T.K.V. Iyengar & Dr B. Krishna Gandhi & S. Ranganadham & Dr M.V.S.S.N. Prasad |
Publsiher | : S. Chand Publishing |
Total Pages | : 135 |
Release | : 2022 |
ISBN 10 | : 9352838262 |
ISBN 13 | : 9789352838264 |
Language | : EN, FR, DE, ES & NL |
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
Foundations of Differential Calculus
Author | : Euler |
Publsiher | : Springer Science & Business Media |
Total Pages | : 194 |
Release | : 2006-05-04 |
ISBN 10 | : 0387226451 |
ISBN 13 | : 9780387226453 |
Language | : EN, FR, DE, ES & NL |
The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.
Differential Equations From Calculus to Dynamical Systems Second Edition
Author | : Virginia W. Noonburg |
Publsiher | : American Mathematical Soc. |
Total Pages | : 402 |
Release | : 2020-08-28 |
ISBN 10 | : 1470463296 |
ISBN 13 | : 9781470463298 |
Language | : EN, FR, DE, ES & NL |
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.
Differential Equations and the Calculus of Variations
Author | : Lev Ernestovich El?sgol?ts,Lev Ėrnestovich Ėlʹsgolʹt︠s︡ |
Publsiher | : Unknown |
Total Pages | : 440 |
Release | : 1970 |
ISBN 10 | : 1928374650XXX |
ISBN 13 | : UOM:39015017329825 |
Language | : EN, FR, DE, ES & NL |
Partial Differential Equations and Calculus of Variations
Author | : Stefan Hildebrandt |
Publsiher | : Lecture Notes in Mathematics |
Total Pages | : 423 |
Release | : 1988-11-09 |
ISBN 10 | : 1928374650XXX |
ISBN 13 | : UOM:39015038938083 |
Language | : EN, FR, DE, ES & NL |
This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE's and Calculus of Variations". The emphasis is on existence and regularity results, on special equations of mathematical physics and on scattering theory.
An Introduction to the Fractional Calculus and Fractional Differential Equations

Author | : Kenneth S. Miller,Bertram Ross |
Publsiher | : Wiley-Interscience |
Total Pages | : 384 |
Release | : 1993-06-02 |
ISBN 10 | : 9780471588849 |
ISBN 13 | : 0471588849 |
Language | : EN, FR, DE, ES & NL |
Commences with the historical development of fractional calculus, its mathematical theory—particularly the Riemann-Liouville version. Numerous examples and theoretical applications of the theory are presented. Features topics associated with fractional differential equations. Discusses Weyl fractional calculus and some of its uses. Includes selected physical problems which lead to fractional differential or integral equations.