Advanced Calculus (Revised Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 595 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis

Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Irresistible Integrals

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Publisher : Cambridge University Press
ISBN 13 : 9780521796361
Total Pages : 326 pages
Book Rating : 4.7/5 (963 download)

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Book Synopsis Irresistible Integrals by : George Boros

Download or read book Irresistible Integrals written by George Boros and published by Cambridge University Press. This book was released on 2004-06-21 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2004, uses the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics.

Modern Methods in the Calculus of Variations

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Publisher : Springer Science & Business Media
ISBN 13 : 0387690069
Total Pages : 602 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Modern Methods in the Calculus of Variations by : Irene Fonseca

Download or read book Modern Methods in the Calculus of Variations written by Irene Fonseca and published by Springer Science & Business Media. This book was released on 2007-08-22 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of two books on methods and techniques in the calculus of variations. Contemporary arguments are used throughout the text to streamline and present in a unified way classical results, and to provide novel contributions at the forefront of the theory. This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L^p spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces. This book is self-contained. All the statements are fully justified and proved, with the exception of basic results in measure theory, which may be found in any good textbook on the subject. It also contains several exercises. Therefore,it may be used both as a graduate textbook as well as a reference text for researchers in the field. Irene Fonseca is the Mellon College of Science Professor of Mathematics and is currently the Director of the Center for Nonlinear Analysis in the Department of Mathematical Sciences at Carnegie Mellon University. Her research interests lie in the areas of continuum mechanics, calculus of variations, geometric measure theory and partial differential equations. Giovanni Leoni is also a professor in the Department of Mathematical Sciences at Carnegie Mellon University. He focuses his research on calculus of variations, partial differential equations and geometric measure theory with special emphasis on applications to problems in continuum mechanics and in materials science.

Calculus For Dummies

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Publisher : John Wiley & Sons
ISBN 13 : 1119297435
Total Pages : 446 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Calculus For Dummies by : Mark Ryan

Download or read book Calculus For Dummies written by Mark Ryan and published by John Wiley & Sons. This book was released on 2016-05-18 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable—even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win. Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can't get away with Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.

Calculus

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Publisher :
ISBN 13 : 9781938168062
Total Pages : 824 pages
Book Rating : 4.1/5 (68 download)

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Book Synopsis Calculus by : Gilbert Strang

Download or read book Calculus written by Gilbert Strang and published by . This book was released on 2016-03-07 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.

Calculus Methods

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Publisher :
ISBN 13 : 9781423236672
Total Pages : 6 pages
Book Rating : 4.2/5 (366 download)

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Book Synopsis Calculus Methods by : LLC. Expolog

Download or read book Calculus Methods written by LLC. Expolog and published by . This book was released on 2017 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Calculus

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Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Advanced Calculus by : Frederick Shenstone Woods

Download or read book Advanced Calculus written by Frederick Shenstone Woods and published by . This book was released on 1926 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamentals of Calculus

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Publisher : John Wiley & Sons
ISBN 13 : 1119015316
Total Pages : 368 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Fundamentals of Calculus by : Carla C. Morris

Download or read book Fundamentals of Calculus written by Carla C. Morris and published by John Wiley & Sons. This book was released on 2015-07-28 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features the techniques, methods, and applications of calculus using real-world examples from business and economics as well as the life and social sciences An introduction to differential and integral calculus, Fundamentals of Calculus presents key topics suited for a variety of readers in fields ranging from entrepreneurship and economics to environmental and social sciences. Practical examples from a variety of subject areas are featured throughout each chapter and step-by-step explanations for the solutions are presented. Specific techniques are also applied to highlight important information in each section, including symbols interspersed throughout to further reader comprehension. In addition, the book illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the “mathematics of change,” each chapter concludes with a historical notes section. Fundamentals of Calculus chapter coverage includes: Linear Equations and Functions The Derivative Using the Derivative Exponents and Logarithms Differentiation Techniques Integral Calculus Integrations Techniques Functions of Several Variables Series and Summations Applications to Probability Supplemented with online instructional support materials, Fundamentals of Calculus is an ideal textbook for undergraduate students majoring in business, economics, biology, chemistry, and environmental science.

Calculus

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Publisher : Springer Nature
ISBN 13 : 3030649806
Total Pages : 159 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Calculus by : Mehdi Rahmani-Andebili

Download or read book Calculus written by Mehdi Rahmani-Andebili and published by Springer Nature. This book was released on 2021-02-04 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study guide is designed for students taking courses in calculus. The textbook includes practice problems that will help students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on guide will improve student’s problem-solving skills and basic understanding of the topics covered in their calculus courses. Exercises cover a wide selection of basic and advanced questions and problems; Categorizes and orders the problems based on difficulty level, hence suitable for both knowledgeable and under-prepared students; Provides detailed and instructor-recommended solutions and methods, along with clear explanations; Can be used along with core calculus textbooks.

Mathematical Techniques for Engineers and Scientists

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Publisher : SPIE Press
ISBN 13 : 9780819445063
Total Pages : 822 pages
Book Rating : 4.4/5 (45 download)

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Book Synopsis Mathematical Techniques for Engineers and Scientists by : Larry C. Andrews

Download or read book Mathematical Techniques for Engineers and Scientists written by Larry C. Andrews and published by SPIE Press. This book was released on 2003 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This self-study text for practicing engineers and scientists explains the mathematical tools that are required for advanced technological applications, but are often not covered in undergraduate school. The authors (University of Central Florida) describe special functions, matrix methods, vector operations, the transformation laws of tensors, the analytic functions of a complex variable, integral transforms, partial differential equations, probability theory, and random processes. The book could also serve as a supplemental graduate text."--Memento.

Discrete Calculus

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Publisher : Springer
ISBN 13 : 3319030388
Total Pages : 674 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Discrete Calculus by : Carlo Mariconda

Download or read book Discrete Calculus written by Carlo Mariconda and published by Springer. This book was released on 2016-12-01 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to combinatorics, finite calculus, formal series, recurrences, and approximations of sums. Readers will find not only coverage of the basic elements of the subjects but also deep insights into a range of less common topics rarely considered within a single book, such as counting with occupancy constraints, a clear distinction between algebraic and analytical properties of formal power series, an introduction to discrete dynamical systems with a thorough description of Sarkovskii’s theorem, symbolic calculus, and a complete description of the Euler-Maclaurin formulas and their applications. Although several books touch on one or more of these aspects, precious few cover all of them. The authors, both pure mathematicians, have attempted to develop methods that will allow the student to formulate a given problem in a precise mathematical framework. The aim is to equip readers with a sound strategy for classifying and solving problems by pursuing a mathematically rigorous yet user-friendly approach. This is particularly useful in combinatorics, a field where, all too often, exercises are solved by means of ad hoc tricks. The book contains more than 400 examples and about 300 problems, and the reader will be able to find the proof of every result. To further assist students and teachers, important matters and comments are highlighted, and parts that can be omitted, at least during a first and perhaps second reading, are identified.

Calculus Deconstructed

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Publisher : American Mathematical Society
ISBN 13 : 1470466759
Total Pages : 491 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Calculus Deconstructed by : Zbigniew H. Nitecki

Download or read book Calculus Deconstructed written by Zbigniew H. Nitecki and published by American Mathematical Society. This book was released on 2022-01-11 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Deconstructed is a thorough and mathematically rigorous exposition of single-variable calculus for readers with some previous exposure to calculus techniques but not to methods of proof. This book is appropriate for a beginning Honors Calculus course assuming high school calculus or a "bridge course" using basic analysis to motivate and illustrate mathematical rigor. It can serve as a combination textbook and reference book for individual self-study. Standard topics and techniques in single-variable calculus are presented in context of a coherent logical structure, building on familiar properties of real numbers and teaching methods of proof by example along the way. Numerous examples reinforce both practical and theoretical understanding, and extensive historical notes explore the arguments of the originators of the subject. No previous experience with mathematical proof is assumed: rhetorical strategies and techniques of proof (reductio ad absurdum, induction, contrapositives, etc.) are introduced by example along the way. Between the text and exercises, proofs are available for all the basic results of calculus for functions of one real variable.

The Handbook of Integration

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Publisher : CRC Press
ISBN 13 : 1439865841
Total Pages : 385 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis The Handbook of Integration by : Daniel Zwillinger

Download or read book The Handbook of Integration written by Daniel Zwillinger and published by CRC Press. This book was released on 1992-11-02 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of the most important and widely applicable methods for evaluating and approximating integrals. It is an indispensable time saver for engineers and scientists needing to evaluate integrals in their work. From the table of contents: - Applications of Integration - Concepts and Definitions - Exact Analytical Methods - Appro

Mathematical Techniques

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Publisher : Oxford University Press, USA
ISBN 13 : 9780198564614
Total Pages : 788 pages
Book Rating : 4.5/5 (646 download)

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Book Synopsis Mathematical Techniques by : Dominic William Jordan

Download or read book Mathematical Techniques written by Dominic William Jordan and published by Oxford University Press, USA. This book was released on 1997 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: All students of engineering, science, and mathematics take courses on mathematical techniques or `methods', and large numbers of these students are insecure in their mathematical grounding. This book offers a course in mathematical methods for students in the first stages of a science or engineering degree. Its particular intention is to cover the range of topics typically required, while providing for students whose mathematical background is minimal. The topics covered are: * Analytic geometry, vector algebra, vector fields (div and curl), differentiation, and integration. * Complex numbers, matrix operations, and linear systems of equations. * Differential equations and first-order linear systems, functions of more than one variable, double integrals, and line integrals. * Laplace transforms and Fourier series and Fourier transforms. * Probability and statistics. The earlier part of this list consists largely of what is thought pre-university material. However, many science students have not studied mathematics to this level, and among those that have the content is frequently only patchily understood. Mathematical Techniques begins at an elementary level but proceeds to give more advanced material with a minimum of manipulative complication. Most of the concepts can be explained using quite simple examples, and to aid understanding a large number of fully worked examples is included. As far as is possible chapter topics are dealt with in a self-contained way so that a student only needing to master certain techniques can omit others without trouble. The widely illustrated text also includes simple numerical processes which lead to examples and projects for computation, and a large number of exercises (with answers) is included to reinforce understanding.

Methods of Applied Mathematics

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Publisher : Courier Corporation
ISBN 13 : 0486138380
Total Pages : 386 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Methods of Applied Mathematics by : Francis B. Hildebrand

Download or read book Methods of Applied Mathematics written by Francis B. Hildebrand and published by Courier Corporation. This book was released on 2012-06-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book offers engineers and physicists working knowledge of a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, but nevertheless extremely useful when applied to typical problems in many different fields. It deals principally with linear algebraic equations, quadratic and Hermitian forms, operations with vectors and matrices, the calculus of variations, and the formulations and theory of linear integral equations. Annotated problems and exercises accompany each chapter.

Inside Interesting Integrals

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Publisher : Springer Nature
ISBN 13 : 3030437884
Total Pages : 542 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Inside Interesting Integrals by : Paul J. Nahin

Download or read book Inside Interesting Integrals written by Paul J. Nahin and published by Springer Nature. This book was released on 2020-06-27 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.

Special Techniques For Solving Integrals: Examples And Problems

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Publisher : World Scientific
ISBN 13 : 9811235775
Total Pages : 401 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Special Techniques For Solving Integrals: Examples And Problems by : Khristo N Boyadzhiev

Download or read book Special Techniques For Solving Integrals: Examples And Problems written by Khristo N Boyadzhiev and published by World Scientific. This book was released on 2021-12-10 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains techniques of integration which are not found in standard calculus and advanced calculus books. It can be considered as a map to explore many classical approaches to evaluate integrals. It is intended for students and professionals who need to solve integrals or like to solve integrals and yearn to learn more about the various methods they could apply. Undergraduate and graduate students whose studies include mathematical analysis or mathematical physics will strongly benefit from this material. Mathematicians involved in research and teaching in areas related to calculus, advanced calculus and real analysis will find it invaluable.The volume contains numerous solved examples and problems for the reader. These examples can be used in classwork or for home assignments, as well as a supplement to student projects and student research.