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Integral Calculus And Differential Equations Using Mathematica
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Book Synopsis Calculus and Differential Equations with Mathematica by : Pramote Dechaumphai
Download or read book Calculus and Differential Equations with Mathematica written by Pramote Dechaumphai and published by . This book was released on 2016 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Equations with Mathematica by : Martha L. Abell
Download or read book Differential Equations with Mathematica written by Martha L. Abell and published by AP Professional. This book was released on 1997 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this groundbreaking book integrates new applications from a variety of fields, especially biology, physics, and engineering. The new handbook is also completely compatible with Mathematica version 3.0 and is a perfect introduction for Mathematica beginners. The CD-ROM contains built-in commands that let the users solve problems directly using graphical solutions.
Download or read book Calculus II written by Tunc Geveci and published by Cognella Academic Pub. This book was released on 2010-10 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus II is the second volume of the three-volume calculus sequence by Tunc Geveci. The series is designed for the usual three-semester calculus sequence that the majority of science and engineering majors in the United States are required to take. The distinguishing features of the book are the focus on the concepts, essential functions and formulas of calculus and the effective use of graphics as an integral part of the exposition. Formulas that are not significant and exercises that involve artificial algebraic difficulties are avoided. The three-volume calculus sequence is organized as follows: Calculus I covers the usual topics of the first semester: limits, continuity, the derivative, the integral and special functions such as exponential functions, logarithms and inverse trigonometric functions. Calculus II covers techniques and applications of integration, improper integrals, infinite series, linear and separable first-order differential equations, parametrized curves and polar coordinates. Calculus III covers vectors, the differential calculus of functions of several variables, multiple integrals, line integrals, surface integrals, Green's Theorem, Stokes' Theorem and Gauss' Theorem.
Download or read book Calculus written by Kenneth Kuttler and published by World Scientific. This book was released on 2011 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on single variable calculus including most of the important applications of calculus. It also includes proofs of all theorems presented, either in the text itself, or in an appendix. It also contains an introduction to vectors and vector products which is developed further in Volume 2. While the book does include all the proofs of the theorems, many of the applications are presented more simply and less formally than is often the case in similar titles. Supplementary materials are available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected]. This book is also available as a set with Volume 2: CALCULUS: Theory and Applications.
Book Synopsis Integral Calculus and Differential Equations Using Mathematica by : Cesar Perez Lopez
Download or read book Integral Calculus and Differential Equations Using Mathematica written by Cesar Perez Lopez and published by Createspace Independent Publishing Platform. This book was released on 2016-01-16 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides all the material needed to work on Integral Calculus and Differential Equations using Mathematica. It includes techniques for solving all kinds of integral and its applications for calculating lengths of curves, areas, volumes, surfaces of revolution... With Mathematica is possible solve ordinary and partial differential equations of various kinds, and systems of such equations, either symbolically or using numerical methods (Euler's method,, the Runge-Kutta method,...). It also describes how to implement mathematical tools such as the Laplace transform, orthogonal polynomials, and special functions (Airy and Bessel functions), and find solutions of differential equations in partial derivatives.The main content of the book is as follows:PRACTICAL INTRODUCTION TO MATHEMATICA 1.1 CALCULATION NUMERIC WITH MATHEMATICA 1.2 SYMBOLIC CALCULATION WITH MATHEMATICA 1.3 GRAPHICS WITH MATHEMATICA 1.4 MATHEMATICA AND THE PROGRAMMING INTEGRATION AND APPLICATIONS 2.1 INDEFINITE INTEGRALS 2.1.1 Inmediate integrals 2.2 INTEGRATION BY SUBSTITUTION (OR CHANGE OF VARIABLES) 2.2.1 Exponential, logarithmic, hyperbolic and inverse circular functions 2.2.2 Irrational functions, binomial integrals 2.3 INTEGRATION BY PARTS 2.4 INTEGRATION BY REDUCTION AND CYCLIC INTEGRATION DEFINITE INTEGRALS. CURVE ARC LENGTH, AREAS, VOLUMES AND SURFACES OF REVOLUTION. IMPROPER INTEGRALS 3.1 DEFINITE INTEGRALS 3.2 CURVE ARC LENGTH 3.3 THE AREA ENCLOSED BETWEEN CURVES 3.4 SURFACES OF REVOLUTION 3.5 VOLUMES OF REVOLUTION 3.6 CURVILINEAR INTEGRALS 3.7 IMPROPER INTEGRALS 3.8 PARAMETER DEPENDENT INTEGRALS 3.9 THE RIEMANN INTEGRAL INTEGRATION IN SEVERAL VARIABLES AND APPLICATIONS. AREAS AND VOLUMES. DIVERGENCE, STOKES AND GREEN'S THEOREMS 4.1 AREAS AND DOUBLE INTEGRALS 4.2 SURFACE AREA BY DOUBLE INTEGRATION 4.3 VOLUME CALCULATION BY DOUBLE INTEGRALS 4.4 VOLUME CALCULATION AND TRIPLE INTEGRALS 4.5 GREEN'S THEOREM 4.6 THE DIVERGENCE THEOREM 4.7 STOKES' THEOREM FIRST ORDER DIFFERENTIAL EQUATIONS. SEPARATES VARIABLES, EXACT EQUATIONS, LINEAR AND HOMOGENEOUS EQUATIONS. NUMERIACAL METHODS 5.1 SEPARATION OF VARIABLES 5.2 HOMOGENEOUS DIFFERENTIAL EQUATIONS 5.3 EXACT DIFFERENTIAL EQUATIONS 5.4 LINEAR DIFFERENTIAL EQUATIONS 5.5 NUMERICAL SOLUTIONS TO DIFFERENTIAL EQUATIONS OF THE FIRST ORDER HIGH-ORDER DIFFERENTIAL EQUATIONS AND SYSTEMS OF DIFFERENTIAL EQUATIONS 6.1 ORDINARY HIGH-ORDER EQUATIONS 6.2 HIGHER-ORDER LINEAR HOMOGENEOUS EQUATIONS WITH CONSTANT COEFFICIENTS 6.3 NON-HOMOGENEOUS EQUATIONS WITH CONSTANT COEFFICIENTS. VARIATION OF PARAMETERS 6.4 NON-HOMOGENEOUS LINEAR EQUATIONS WITH VARIABLE COEFFICIENTS. CAUCHY-EULER EQUATIONS 66.5 THE LAPLACE TRANSFORM 6.6 SYSTEMS OF LINEAR HOMOGENEOUS EQUATIONS WITH CONSTANT COEFFICIENTS 6.7 SYSTEMS OF LINEAR NON-HOMOGENEOUS EQUATIONS WITH CONSTANT COEFFICIENTS HIGHER ORDEN DIFFERENTIAL EQUATIONS AND SYSTEMS USING APPROXIMATION METHODS. DIFFERENTIAL EQUATIONS IN PARTIAL DERIVATIVES 7.1 HIGHER ORDER EQUATIONS AND APPROXIMATION METHODS 7.2 THE EULER METHOD 7.3 THE RUNGE-KUTTA METHOD 7.4 DIFFERENTIAL EQUATIONS SYSTEMS BY APPROXIMATE METHODS 7.5 DIFFERENTIAL EQUATIONS IN PARTIAL DERIVATIVES 7.6 ORTHOGONAL POLYNOMIALS 7.7 AIRY AND BESSEL FUNCTIONS
Book Synopsis Mathematica Navigator by : Heikki Ruskeepaa
Download or read book Mathematica Navigator written by Heikki Ruskeepaa and published by Gulf Professional Publishing. This book was released on 2004-02-06 with total page 1135 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematica Navigator gives you a general introduction to Mathematica. The book emphasizes graphics, methods of applied mathematics and statistics, and programming. Mathematica Navigator can be used both as a tutorial and as a handbook. While no previous experience with Mathematica is required, most chapters also include advanced material, so that the book will be a valuable resource for both beginners and experienced users.
Book Synopsis Multivariable Mathematics by : Theodore Shifrin
Download or read book Multivariable Mathematics written by Theodore Shifrin and published by John Wiley & Sons. This book was released on 2004-01-26 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariable Mathematics combines linear algebra and multivariable mathematics in a rigorous approach. The material is integrated to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author includes all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible, and also includes complete proofs. * Contains plenty of examples, clear proofs, and significant motivation for the crucial concepts. * Numerous exercises of varying levels of difficulty, both computational and more proof-oriented. * Exercises are arranged in order of increasing difficulty.
Book Synopsis Partial Differential Equations with Mathematica by : Dimitri Dimitrievich Vvedensky
Download or read book Partial Differential Equations with Mathematica written by Dimitri Dimitrievich Vvedensky and published by Addison Wesley Publishing Company. This book was released on 1993 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to linear and nonlinear partial differential equations with extensive use of the popular computational mathematics computer program, Mathematica, to illustrate techniques and solutions and to provide examples that in many cases would not be practical otherwise. No prior knowledge of
Book Synopsis Complex Analysis with MATHEMATICA® by : William T. Shaw
Download or read book Complex Analysis with MATHEMATICA® written by William T. Shaw and published by Cambridge University Press. This book was released on 2006-04-20 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a way of learning complex analysis, using Mathematica. Includes CD with electronic version of the book.
Book Synopsis Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica by : Kuzman Adzievski
Download or read book Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica written by Kuzman Adzievski and published by CRC Press. This book was released on 2016-04-19 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: With special emphasis on engineering and science applications, this textbook provides a mathematical introduction to the field of partial differential equations (PDEs). The text represents a new approach to PDEs at the undergraduate level by presenting computation as an integral part of the study of differential equations. The authors use the computer software Mathematica (R) along with graphics to improve understanding and interpretation of concepts. The book also presents solutions to selected examples as well as exercises in each chapter. Topics include Laplace and Fourier transforms as well as Sturm-Liuville Boundary Value Problems.
Book Synopsis Symmetry Analysis of Differential Equations with Mathematica® by : Gerd Baumann
Download or read book Symmetry Analysis of Differential Equations with Mathematica® written by Gerd Baumann and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which allow users to directly interact with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool in regard to performing algebraic computations.
Book Synopsis Computational Financial Mathematics using MATHEMATICA® by : Srdjan Stojanovic
Download or read book Computational Financial Mathematics using MATHEMATICA® written by Srdjan Stojanovic and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given the explosion of interest in mathematical methods for solving problems in finance and trading, a great deal of research and development is taking place in universities, large brokerage firms, and in the supporting trading software industry. Mathematical advances have been made both analytically and numerically in finding practical solutions. This book provides a comprehensive overview of existing and original material, about what mathematics when allied with Mathematica can do for finance. Sophisticated theories are presented systematically in a user-friendly style, and a powerful combination of mathematical rigor and Mathematica programming. Three kinds of solution methods are emphasized: symbolic, numerical, and Monte-- Carlo. Nowadays, only good personal computers are required to handle the symbolic and numerical methods that are developed in this book. Key features: * No previous knowledge of Mathematica programming is required * The symbolic, numeric, data management and graphic capabilities of Mathematica are fully utilized * Monte--Carlo solutions of scalar and multivariable SDEs are developed and utilized heavily in discussing trading issues such as Black--Scholes hedging * Black--Scholes and Dupire PDEs are solved symbolically and numerically * Fast numerical solutions to free boundary problems with details of their Mathematica realizations are provided * Comprehensive study of optimal portfolio diversification, including an original theory of optimal portfolio hedging under non-Log-Normal asset price dynamics is presented The book is designed for the academic community of instructors and students, and most importantly, will meet the everyday trading needs of quantitatively inclined professional and individual investors.
Book Synopsis Partial Differential Equations by : Walter A. Strauss
Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Book Synopsis Calculus Using Mathematica by : K.D. Stroyan
Download or read book Calculus Using Mathematica written by K.D. Stroyan and published by Academic Press. This book was released on 2014-05-10 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Using Mathematica: Scientific Projects and Mathematical Background is a companion to the core text, Calculus Using Mathematica. The book contains projects that illustrate applications of calculus to a variety of practical situations. The text consists of 14 chapters of various projects on how to apply the concepts and methodologies of calculus. Chapters are devoted to epidemiological applications; log and exponential functions in science; applications to mechanics, optics, economics, and ecology. Applications of linear differential equations; forced linear equations; differential equations from vector geometry; and to chemical reactions are presented as well. College students of calculus will find this book very helpful.
Book Synopsis Ordinary Differential Equations by : Morris Tenenbaum
Download or read book Ordinary Differential Equations written by Morris Tenenbaum and published by Courier Corporation. This book was released on 1985-10-01 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Applied Numerical Analysis with Mathematica by :
Download or read book Applied Numerical Analysis with Mathematica written by and published by Editora E-papers. This book was released on with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Stochastic Calculus Applied to Finance by : Damien Lamberton
Download or read book Introduction to Stochastic Calculus Applied to Finance written by Damien Lamberton and published by CRC Press. This book was released on 2011-12-14 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of the first edition of this book, the area of mathematical finance has grown rapidly, with financial analysts using more sophisticated mathematical concepts, such as stochastic integration, to describe the behavior of markets and to derive computing methods. Maintaining the lucid style of its popular predecessor, this concise and accessible introduction covers the probabilistic techniques required to understand the most widely used financial models. Along with additional exercises, this edition presents fully updated material on stochastic volatility models and option pricing as well as a new chapter on credit risk modeling. It contains many numerical experiments and real-world examples taken from the authors' own experiences. The book also provides all of the necessary stochastic calculus theory and implements some of the algorithms using SciLab. Key topics covered include martingales, arbitrage, option pricing, and the Black-Scholes model.