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Calculus With Differential Equations

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Calculus with Differential Equations

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Calculus with Differential Equations by Dale E. Varberg,Edwin Joseph Purcell,Steven E. Rigdon Book Summary:

This the shortest mainstream calculus book available. The authors make effective use of computing technology, graphics, and applications, and provide at least two technology projects per chapter. This popular book is correct without being excessively rigorous, up-to-date without being faddish. Maintains a strong geometric and conceptual focus. Emphasizes explanation rather than detailed proofs. Presents definitions consistently throughout to maintain a clear conceptual framework. Provides hundreds of new problems, including problems on approximations, functions defined by tables, and conceptual questions. Ideal for readers preparing for the AP Calculus exam or who want to brush up on their calculus with a no-nonsense, concisely written book.

Calculus and Differential Equations with Mathematica

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Calculus and Differential Equations with Mathematica by Pramote Dechaumphai Book Summary:

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.

Thomas' Calculus

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Thomas' Calculus by Maurice D. Weir,Frank R. Giordano,Joel R. Hass Book Summary:

KEY Message: Thomas' Calculus including Second-order Differential Equations responds to the needs of today's readers by developing their conceptual understanding while strengthening their skills in algebra and trigonometry,two areas of knowledge vital to the mastery of calculus. This book offers a full range of exercises, a precise and conceptual presentation, and a new media package designed specifically to meet the needs of today's readers. The exercises gradually increase in difficulty, helping readers learn to generalize and apply the concepts. The refined table of contents introduces the exponential, logarithmic, and trigonometric functions in Chapter 7 of the text. KEY TOPICS: Limits and Derivatives, Differentiation, Applications of Derivatives, Integration, Applications of Definite Integrals, Transcendental Functions, Techniques of Integration, Further Applications of Integration, Conic Sections and Polar Coordinates, Infinite Sequences and Series, Vectors and the Geometry of Space, Vector-Valued Functions and Motion in Space, Partial Derivatives, Multiple Integrals, Integration in Vector Fields, Second-order Differential Equations. MARKET: For all readers interested in Calculus.

Calculus and Differential Equations with MATLAB

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Calculus and Differential Equations with MATLAB by Pramote Dechaumphai Book Summary:

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

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Malliavin Calculus with Applications to Stochastic Partial Differential Equations by Marta Sanz-Sole Book Summary:

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.

A Treatise on the Differential Calculus with Numerous Examples

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A Treatise on the Differential Calculus with Numerous Examples by Isaac Todhunter Book Summary:

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The Principles of the Differential Calculus, with Its Application to Curves and Curve Surfaces ... Second Edition

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The Principles of the Differential Calculus, with Its Application to Curves and Curve Surfaces ... Second Edition by John HIND (M.A.) Book Summary:

Download or read The Principles of the Differential Calculus, with Its Application to Curves and Curve Surfaces ... Second Edition book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

Calculus and Ordinary Differential Equations

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Calculus and Ordinary Differential Equations by David Pearson Book Summary:

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 Analytic Geometry

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Calculus with Analytic Geometry by Earl William Swokowski Book Summary:

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Calculus with Analytic Geometry

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Calculus with Analytic Geometry by Murray H. Protter,Philip E. Protter Book Summary:

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An Informal Introduction to Stochastic Calculus with Applications

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An Informal Introduction to Stochastic Calculus with Applications by Ovidiu Calin Book Summary:

The goal of this book is to present Stochastic Calculus at an introductory level and not at its maximum mathematical detail. The author aims to capture as much as possible the spirit of elementary deterministic Calculus, at which students have been already exposed. This assumes a presentation that mimics similar properties of deterministic Calculus, which facilitates understanding of more complicated topics of Stochastic Calculus. Contents:A Few Introductory ProblemsBasic NotionsUseful Stochastic ProcessesProperties of Stochastic ProcessesStochastic IntegrationStochastic DifferentiationStochastic Integration TechniquesStochastic Differential EquationsApplications of Brownian MotionGirsanov's Theorem and Brownian MotionSome Applications of Stochastic CalculusHints and Solutions Readership: Undergraduate and graduate students interested in stochastic processes. Key Features:The book contains numerous problems with full solutions and plenty of worked out examples and figures, which facilitate material understandingThe material was tested on students at several universities around the world (Taiwan, Kuwait, USA); this led to a presentation form that balances both technicality and understandingThe presentation mimics as close as possible the same chapters as in deterministic calculus; former calculus students will find this chronology of ideas familiar to CalculusKeywords:Stochastic Processes;Probability Distribution;Brownian Motion;Filtering Theory;Martingale;Ito Calculus;Poisson Process;Bessel Process

Differential Equations with MATLAB

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Differential Equations with MATLAB by Mark McKibben,Micah D. Webster Book Summary:

A unique textbook for an undergraduate course on mathematical modeling, Differential Equations with MATLAB: Exploration, Applications, and Theory provides students with an understanding of the practical and theoretical aspects of mathematical models involving ordinary and partial differential equations (ODEs and PDEs). The text presents a unifying picture inherent to the study and analysis of more than 20 distinct models spanning disciplines such as physics, engineering, and finance. The first part of the book presents systems of linear ODEs. The text develops mathematical models from ten disparate fields, including pharmacokinetics, chemistry, classical mechanics, neural networks, physiology, and electrical circuits. Focusing on linear PDEs, the second part covers PDEs that arise in the mathematical modeling of phenomena in ten other areas, including heat conduction, wave propagation, fluid flow through fissured rocks, pattern formation, and financial mathematics. The authors engage students by posing questions of all types throughout, including verifying details, proving conjectures of actual results, analyzing broad strokes that occur within the development of the theory, and applying the theory to specific models. The authors’ accessible style encourages students to actively work through the material and answer these questions. In addition, the extensive use of MATLAB® GUIs allows students to discover patterns and make conjectures.

Elementary Stochastic Calculus with Finance in View

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Elementary Stochastic Calculus with Finance in View by Thomas Mikosch Book Summary:

Modelling with the Ito integral or stochastic differential equations has become increasingly important in various applied fields, including physics, biology, chemistry and finance. However, stochastic calculus is based on a deep mathematical theory. This book is suitable for the reader without a deep mathematical background. It gives an elementary introduction to that area of probability theory, without burdening the reader with a great deal of measure theory. Applications are taken from stochastic finance. In particular, the Black -- Scholes option pricing formula is derived. The book can serve as a text for a course on stochastic calculus for non-mathematicians or as elementary reading material for anyone who wants to learn about Ito calculus and/or stochastic finance.

Introduction to Differential Calculus

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Introduction to Differential Calculus by Ulrich L. Rohde,G. C. Jain,Ajay K. Poddar,A. K. Ghosh Book Summary:

Enables readers to apply the fundamentals of differentialcalculus to solve real-life problems in engineering and thephysical sciences Introduction to Differential Calculus fully engages readers bypresenting the fundamental theories and methods of differentialcalculus and then showcasing how the discussed concepts can beapplied to real-world problems in engineering and the physicalsciences. With its easy-to-follow style and accessibleexplanations, the book sets a solid foundation before advancing tospecific calculus methods, demonstrating the connections betweendifferential calculus theory and its applications. The first five chapters introduce underlying concepts such asalgebra, geometry, coordinate geometry, and trigonometry.Subsequent chapters present a broad range of theories, methods, andapplications in differential calculus, including: Concepts of function, continuity, and derivative Properties of exponential and logarithmic function Inverse trigonometric functions and their properties Derivatives of higher order Methods to find maximum and minimum values of a function Hyperbolic functions and their properties Readers are equipped with the necessary tools to quickly learnhow to understand a broad range of current problems throughout thephysical sciences and engineering that can only be solved withcalculus. Examples throughout provide practical guidance, andpractice problems and exercises allow for further development andfine-tuning of various calculus skills. Introduction toDifferential Calculus is an excellent book for upper-undergraduatecalculus courses and is also an ideal reference for students andprofessionals alike who would like to gain a further understandingof the use of calculus to solve problems in a simplifiedmanner.

Differential and Integral Calculus with Applications

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Differential and Integral Calculus with Applications by Edward West Nichols Book Summary:

Download or read Differential and Integral Calculus with Applications book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

Technical Calculus with Analytic Geometry

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Technical Calculus with Analytic Geometry by Peter Kuhfittig Book Summary:

Written for today's technology student, TECHNICAL CALCULUS WITH ANALYTIC GEOMETRY prepares you for your future courses! With an emphasis on applications, this mathematics text helps you learn calculus skills that are particular to technology. Clear presentation of concepts, detailed examples, marginal annotations, and step-by-step procedures enhance your understanding of difficult concepts. Notations that are frequently encountered in technology are used throughout to help you prepare for further courses in your career. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Elements of the Differential and Integral Calculus with Applications

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Elements of the Differential and Integral Calculus with Applications by William Shaffer Hall Book Summary:

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Multivariable Calculus with Applications

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Multivariable Calculus with Applications by Peter D. Lax,Maria Shea Terrell Book Summary:

This text in multivariable calculus fosters comprehension through meaningful explanations. Written with students in mathematics, the physical sciences, and engineering in mind, it extends concepts from single variable calculus such as derivative, integral, and important theorems to partial derivatives, multiple integrals, Stokes’ and divergence theorems. Students with a background in single variable calculus are guided through a variety of problem solving techniques and practice problems. Examples from the physical sciences are utilized to highlight the essential relationship between calculus and modern science. The symbiotic relationship between science and mathematics is shown by deriving and discussing several conservation laws, and vector calculus is utilized to describe a number of physical theories via partial differential equations. Students will learn that mathematics is the language that enables scientific ideas to be precisely formulated and that science is a source for the development of mathematics.

Calculus with Analytic Geometry

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Calculus with Analytic Geometry by Edwin Joseph Purcell,Dale E. Varberg Book Summary:

Functions and limits; The derivative; Applications of the derivative; The integral; Applications of the integral; Transcedental functions; Techniques of integration; Indeterminate forms and improper integrals; Numerical methods, approximations; Infinite series; Conics and polar coordinates; Geometry in the plane, vectors; Geometry in space, vectors; The derivative in n-space; The integral in n-space; Vector calculus; Differential equations.

Calculus of Variations

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Calculus of Variations by Robert Weinstock Book Summary:

Basic introduction covering isoperimetric problems, theory of elasticity, quantum mechanics, electrostatics, geometrical optics, particle dynamics, more. Exercises throughout. "A very useful book." — J. L. Synge, American Mathematical Monthly.

Technical Calculus with Analytic Geometry

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Technical Calculus with Analytic Geometry by Allyn J. Washington Book Summary:

This text has been a best seller in its field for over 15 years and now contains even more comprehensive coverage of calculus at the technical level. Covering the fundamentals of differential and integral calculus without an overwhelming amount of theory, Technical Calculus with Analytic Geometry, Third Edition emphasizes techniques and technically-oriented applications. New to this edition is an appendix containing 20 computer programs in BASIC, keyed to specific sections and problem sets in the text. Both U.S. customary units and metric units are now used in the book.

Applied Calculus with Technology

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Applied Calculus with Technology by Richard C. Weimer Book Summary:

Understanding that technology can be both a valuable tool and as an active companion in the learning of calculus, Weimer has produced a textbook that students-those majoring in business, management, economics, and the social, life and physical sciences-will appreciate for the way it helps guide them into the 21st century. Students are introduced to functions and associated preliminary algebraic material, and then are presented with basic concepts of differential calculus. The organization and careful introduction of material is designed to help even poorly prepared students succeed. This text is ideal for professors who wish to integrate DERIVE- or the TI-92 graphing calculator into the applied calculus course."

Generalized Calculus with Applications to Matter and Forces

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Generalized Calculus with Applications to Matter and Forces by Luis Manuel Braga de Costa Campos Book Summary:

Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines generalized functions, including the Heaviside unit jump and the Dirac unit impulse and its derivatives of all orders, in one and several dimensions. The text introduces the two main approaches to generalized functions: (1) as a nonuniform limit of a family of ordinary functions, and (2) as a functional over a set of test functions from which properties are inherited. The second approach is developed more extensively to encompass multidimensional generalized functions whose arguments are ordinary functions of several variables. As part of a series of books for engineers and scientists exploring advanced mathematics, Generalized Calculus with Applications to Matter and Forces presents generalized functions from an applied point of view, tackling problem classes such as: Gauss and Stokes’ theorems in the differential geometry, tensor calculus, and theory of potential fields Self-adjoint and non-self-adjoint problems for linear differential equations and nonlinear problems with large deformations Multipolar expansions and Green’s functions for elastic strings and bars, potential and rotational flow, electro- and magnetostatics, and more This third volume in the series Mathematics and Physics for Science and Technology is designed to complete the theory of functions and its application to potential fields, relating generalized functions to broader follow-on topics like differential equations. Featuring step-by-step examples with interpretations of results and discussions of assumptions and their consequences, Generalized Calculus with Applications to Matter and Forces enables readers to construct mathematical–physical models suited to new observations or novel engineering devices.

Multivariable Calculus with Mathematica

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Multivariable Calculus with Mathematica by Robert P. Gilbert,Michael Shoushani,Yvonne Ou Book Summary:

Multivariable Calculus with Mathematica is a textbook addressing the calculus of several variables. Instead of just using Mathematica to directly solve problems, the students are encouraged to learn the syntax and to write their own code to solve problems. This not only encourages scientific computing skills but at the same time stresses the complete understanding of the mathematics. Questions are provided at the end of the chapters to test the student’s theoretical understanding of the mathematics, and there are also computer algebra questions which test the student’s ability to apply their knowledge in non-trivial ways. Features Ensures that students are not just using the package to directly solve problems, but learning the syntax to write their own code to solve problems Suitable as a main textbook for a Calculus III course, and as a supplementary text for topics scientific computing, engineering, and mathematical physics Written in a style that engages the students’ interest and encourages the understanding of the mathematical ideas

A Guidebook to Calculus with Mathematica

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A Guidebook to Calculus with Mathematica by Philip Crooke,John G. Ratcliffe Book Summary:

Designed to enhance a traditional calculus curriculum, this text offers guidance in utilizing Mathematica to explore calculus concepts. Focusing on the process of mathematics rather than on finding single right answers, this book involves students in actively observing and analyzing mathematical principles using Mathematica to handle the manipulative work. With this text, students should learn to utilize Mathematica - particularly its numerical, symbolic, and graphing capabilities - to discover for themselves why mathematical principles work as they do, building stronger conceptual understanding in the process. The topics addressed involve sophisticated mathematics but also produce pictorial results, engaging students in the ideas and increasing their ability to view them geometrically. The activities should also develop students' sophistication in choosing and employing technology effectively.

Integral Calculus for Beginners

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Integral Calculus for Beginners by Joseph Edwards Book Summary:

Integral Calculus for Beginners - with an introduction to the Study of Differential Equations is an unchanged, high-quality reprint of the original edition of 1898. Hansebooks is editor of the literature on different topic areas such as research and science, travel and expeditions, cooking and nutrition, medicine, and other genres. As a publisher we focus on the preservation of historical literature. Many works of historical writers and scientists are available today as antiques only. Hansebooks newly publishes these books and contributes to the preservation of literature which has become rare and historical knowledge for the future.

Introduction to Integral Calculus

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Introduction to Integral Calculus by Ulrich L. Rohde,G. C. Jain,Ajay K. Poddar,A. K. Ghosh Book Summary:

An accessible introduction to the fundamentals of calculusneeded to solve current problems in engineering and the physicalsciences I ntegration is an important function of calculus, andIntroduction to Integral Calculus combines fundamental conceptswith scientific problems to develop intuition and skills forsolving mathematical problems related to engineering and thephysical sciences. The authors provide a solid introduction tointegral calculus and feature applications of integration,solutions of differential equations, and evaluation methods. Withlogical organization coupled with clear, simple explanations, theauthors reinforce new concepts to progressively build skills andknowledge, and numerous real-world examples as well as intriguingapplications help readers to better understand the connectionsbetween the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed tounderstand the principles of integral calculus and explore suchtopics as anti-derivatives, methods of converting integrals intostandard form, and the concept of area. Next, the authors reviewnumerous methods and applications of integral calculus,including: Mastering and applying the first and second fundamental theoremsof calculus to compute definite integrals Defining the natural logarithmic function using calculus Evaluating definite integrals Calculating plane areas bounded by curves Applying basic concepts of differential equations to solveordinary differential equations With this book as their guide, readers quickly learn to solve abroad range of current problems throughout the physical sciencesand engineering that can only be solved with calculus. Examplesthroughout provide practical guidance, and practice problems andexercises allow for further development and fine-tuning of variouscalculus skills. Introduction to Integral Calculus is an excellentbook for upper-undergraduate calculus courses and is also an idealreference for students and professionals who would like to gain afurther understanding of the use of calculus to solve problems in asimplified manner.

Ordinary and Partial Differential Equations

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Ordinary and Partial Differential Equations by Ravi P. Agarwal,Donal O'Regan Book Summary:

In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided at the end of each chapter for practice. The treatment of ODEs is developed in conjunction with PDEs and is aimed mainly towards applications. The book covers important applications-oriented topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series. Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus.

Topics in Mathematics Calculus and Ordinary Differential Equations

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Topics in Mathematics Calculus and Ordinary Differential Equations by Om P. Chug; P.N. Gupta; R.S. Dahiya Book Summary:

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University Calculus

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University Calculus by Joel Hass,Maurice D. Weir,George Brinton Thomas Book Summary:

KEY BENEFIT The popular and respected Thomas' Calculus Series has been expanded to include a concise alternative. University Calculus: Elements is the ideal text for instructors who prefer the flexibility of a text that is streamlined without compromising the necessary coverage for a typical three-semester course. As with all of Thomas' texts, this book delivers the highest quality writing, trusted exercises, and an exceptional art program. Providing the shortest, lightest, and least-expensive early transcendentals presentation of calculus, University Calculus: Elements is the text that students will carry and use KEY TOPICS Functions and Limits; Differentiation; Applications of Derivatives; Integration; Techniques of Integration; Applications of Definite Integrals; Infinite Sequences and Series; Polar Coordinates and Conics; Vectors and the Geometry of Space; Vector-Valued Functions and Motion in Space; Partial Derivatives; Multiple Integrals; Integration in Vector Fields. MARKET for all readers interested in calculus.

Textbook of DIFFERENTIAL CALCULUS

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Textbook of DIFFERENTIAL CALCULUS by Akhtar & Ahsan Book Summary:

Calculus is a powerful mathematical tool with applications in almost every branch of science and engineering. This subject is therefore considered to occupy the central position in mathematics. The second edition of Textbook of Differential Calculus is updated and designed as per the latest syllabi of various Indian universities for undergraduate courses in mathematics. Calculus is best understood via geometry. A major section of the text is devoted to topics on geometrical applications of calculus that includes treatment of topics such as tangents and normals to curves, curvature, asymptotes, maxima and minima of functions. Key Features : Contents match with the latest syllabus of Indian universities. A large number of solved examples, section-end questions and theorems help build an intuitive understanding of mathematics. Questions have been selected from previous years’ examination papers. Multiple-choice questions, with answers, at the end of the book, help students prepare for competitive examinations.

A Treatise on Infinitesimal Calculus, Containing Differential and Integral Calculus, Calculus of Variations, Applications to Algebra and Geometry, and Analytical Mechanics

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A Treatise on Infinitesimal Calculus, Containing Differential and Integral Calculus, Calculus of Variations, Applications to Algebra and Geometry, and Analytical Mechanics by Bartholomew Price Book Summary:

Download or read A Treatise on Infinitesimal Calculus, Containing Differential and Integral Calculus, Calculus of Variations, Applications to Algebra and Geometry, and Analytical Mechanics book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

Calculus With Applications

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Calculus With Applications by Peter D. Lax,Maria Shea Terrell Book Summary:

Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of functions, uniform convergence is more natural and easier to use than point-wise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complex-valued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory.

Introduction to Partial Differential Equations with Applications

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Introduction to Partial Differential Equations with Applications by E. C. Zachmanoglou,Dale W. Thoe Book Summary:

This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.

Catalogue of the Lamont Library, Harvard College

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Catalogue of the Lamont Library, Harvard College by Harvard University. Library. Lamont Library,Lamont Library,Philip J. McNiff Book Summary:

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Matrix Differential Calculus with Applications in Statistics and Econometrics

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Matrix Differential Calculus with Applications in Statistics and Econometrics by Jan R. Magnus,Heinz Neudecker Book Summary:

This text is a self-contained and unified treatment of matrix differential calculus, specifically written for econometricians and statisticians. It can serve as a textbook for advanced undergraduates and postgraduates in econometrics and as a reference book for practising econometricians.