Calculus

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Publisher : World Scientific
ISBN 13 : 9814324264
Total Pages : 501 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Calculus by : Kenneth Kuttler

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.

Everyday Calculus

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Publisher : Princeton University Press
ISBN 13 : 0691175756
Total Pages : 166 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Everyday Calculus by : Oscar Fernandez

Download or read book Everyday Calculus written by Oscar Fernandez and published by Princeton University Press. This book was released on 2017-03-07 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fun look at calculus in our everyday lives Calculus. For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun and accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful—determining which seat at the theater leads to the best viewing experience, for instance—and fascinating—exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes. The book features a new preface that alerts readers to new interactive online content, including demonstrations linked to specific figures in the book as well as an online supplement. Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus will convince even die-hard skeptics to view this area of math in a whole new way.

Calculus With Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1461479460
Total Pages : 509 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Calculus With Applications by : Peter D. Lax

Download or read book Calculus With Applications written by Peter D. Lax and published by Springer Science & Business Media. This book was released on 2013-09-21 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applications of Calculus

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Publisher : Cambridge University Press
ISBN 13 : 9780883850855
Total Pages : 280 pages
Book Rating : 4.8/5 (58 download)

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Book Synopsis Applications of Calculus by : Philip D. Straffin

Download or read book Applications of Calculus written by Philip D. Straffin and published by Cambridge University Press. This book was released on 1993 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains how calculus can be used to explain and analyze many diverse phenomena.

Introduction to Stochastic Calculus with Applications

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Publisher : Imperial College Press
ISBN 13 : 1860945554
Total Pages : 431 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis Introduction to Stochastic Calculus with Applications by : Fima C. Klebaner

Download or read book Introduction to Stochastic Calculus with Applications written by Fima C. Klebaner and published by Imperial College Press. This book was released on 2005 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a concise treatment of stochastic calculus and its applications. It gives a simple but rigorous treatment of the subject including a range of advanced topics, it is useful for practitioners who use advanced theoretical results. It covers advanced applications, such as models in mathematical finance, biology and engineering.Self-contained and unified in presentation, the book contains many solved examples and exercises. It may be used as a textbook by advanced undergraduates and graduate students in stochastic calculus and financial mathematics. It is also suitable for practitioners who wish to gain an understanding or working knowledge of the subject. For mathematicians, this book could be a first text on stochastic calculus; it is good companion to more advanced texts by a way of examples and exercises. For people from other fields, it provides a way to gain a working knowledge of stochastic calculus. It shows all readers the applications of stochastic calculus methods and takes readers to the technical level required in research and sophisticated modelling.This second edition contains a new chapter on bonds, interest rates and their options. New materials include more worked out examples in all chapters, best estimators, more results on change of time, change of measure, random measures, new results on exotic options, FX options, stochastic and implied volatility, models of the age-dependent branching process and the stochastic Lotka-Volterra model in biology, non-linear filtering in engineering and five new figures.Instructors can obtain slides of the text from the author.

Essential Calculus with Applications

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Publisher : Courier Corporation
ISBN 13 : 0486318591
Total Pages : 318 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Essential Calculus with Applications by : Richard A. Silverman

Download or read book Essential Calculus with Applications written by Richard A. Silverman and published by Courier Corporation. This book was released on 2013-04-22 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus is an extremely powerful tool for solving a host of practical problems in fields as diverse as physics, biology, and economics, to mention just a few. In this rigorous but accessible text, a noted mathematician introduces undergraduate-level students to the problem-solving techniques that make a working knowledge of calculus indispensable for any mathematician. The author first applies the necessary mathematical background, including sets, inequalities, absolute value, mathematical induction, and other "precalculus" material. Chapter Two begins the actual study of differential calculus with a discussion of the key concept of function, and a thorough treatment of derivatives and limits. In Chapter Three differentiation is used as a tool; among the topics covered here are velocity, continuous and differentiable functions, the indefinite integral, local extrema, and concrete optimization problems. Chapter Four treats integral calculus, employing the standard definition of the Riemann integral, and deals with the mean value theorem for integrals, the main techniques of integration, and improper integrals. Chapter Five offers a brief introduction to differential equations and their applications, including problems of growth, decay, and motion. The final chapter is devoted to the differential calculus of functions of several variables. Numerous problems and answers, and a newly added section of "Supplementary Hints and Answers," enable the student to test his grasp of the material before going on. Concise and well written, this text is ideal as a primary text or as a refresher for anyone wishing to review the fundamentals of this crucial discipline.

New Trends in Nanotechnology and Fractional Calculus Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9048132932
Total Pages : 518 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis New Trends in Nanotechnology and Fractional Calculus Applications by : Dumitru Baleanu

Download or read book New Trends in Nanotechnology and Fractional Calculus Applications written by Dumitru Baleanu and published by Springer Science & Business Media. This book was released on 2010-03-14 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years fractional calculus has played an important role in various fields such as mechanics, electricity, chemistry, biology, economics, modeling, identification, control theory and signal processing. The scope of this book is to present the state of the art in the study of fractional systems and the application of fractional differentiation. Furthermore, the manufacture of nanowires is important for the design of nanosensors and the development of high-yield thin films is vital in procuring clean solar energy. This wide range of applications is of interest to engineers, physicists and mathematicians.

Differential Calculus and Its Applications

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Publisher : Courier Corporation
ISBN 13 : 0486298841
Total Pages : 338 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Differential Calculus and Its Applications by : Michael J. Field

Download or read book Differential Calculus and Its Applications written by Michael J. Field and published by Courier Corporation. This book was released on 2013-04-10 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Integral Calculus

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Publisher : John Wiley & Sons
ISBN 13 : 1118130332
Total Pages : 371 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Introduction to Integral Calculus by : Ulrich L. Rohde

Download or read book Introduction to Integral Calculus written by Ulrich L. Rohde and published by John Wiley & Sons. This book was released on 2012-01-20 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to the fundamentals of calculus needed to solve current problems in engineering and the physical sciences I ntegration is an important function of calculus, and Introduction to Integral Calculus combines fundamental concepts with scientific problems to develop intuition and skills for solving mathematical problems related to engineering and the physical sciences. The authors provide a solid introduction to integral calculus and feature applications of integration, solutions of differential equations, and evaluation methods. With logical organization coupled with clear, simple explanations, the authors reinforce new concepts to progressively build skills and knowledge, and numerous real-world examples as well as intriguing applications help readers to better understand the connections between the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed to understand the principles of integral calculus and explore such topics as anti-derivatives, methods of converting integrals into standard form, and the concept of area. Next, the authors review numerous methods and applications of integral calculus, including: Mastering and applying the first and second fundamental theorems of 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 solve ordinary differential equations With this book as their guide, readers quickly learn to solve a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. Introduction to Integral Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.

Calculus and Its Applications

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Publisher : Elsevier
ISBN 13 : 1483195600
Total Pages : 544 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Calculus and Its Applications by : P. Mainardi

Download or read book Calculus and Its Applications written by P. Mainardi and published by Elsevier. This book was released on 2014-05-12 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus and its Applications provides information pertinent to the applications of calculus. This book presents the trapping technique in defining geometrical and physical entities that are usually regarded as limits of sums. Organized into 20 chapters, this book begins with an overview of the notion of average speed that seems to appear first as a qualitative concept. This text then presents the concepts of external and internal parameters to increase the appreciation of parametric functions. Other chapters consider separable differential equations with more detail than usual with their suitability in describing physical laws. This book discusses as well the study of variable quantities whose magnitude is determined by the magnitudes of several other variables. The final chapter deals with a homogeneous differential equation and auxiliary equations consisting imaginary roots. This book is a valuable resource for mathematicians and students. Readers whose interests span a variety of fields will also find this book useful.

Applications of q-Calculus in Operator Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461469465
Total Pages : 275 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Applications of q-Calculus in Operator Theory by : Ali Aral

Download or read book Applications of q-Calculus in Operator Theory written by Ali Aral and published by Springer Science & Business Media. This book was released on 2013-05-09 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization of many subjects, such as hypergeometric series, complex analysis, and particle physics. ​​This monograph is an introduction to combining approximation theory and q-Calculus with applications, by using well- known operators. The presentation is systematic and the authors include a brief summary of the notations and basic definitions of q-calculus before delving into more advanced material. The many applications of q-calculus in the theory of approximation, especially on various operators, which includes convergence of operators to functions in real and complex domain​ forms the gist of the book. This book is suitable for researchers and students in mathematics, physics and engineering, and for professionals who would enjoy exploring the host of mathematical techniques and ideas that are collected and discussed in the book.

Applications Of Fractional Calculus In Physics

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Publisher : World Scientific
ISBN 13 : 9814496200
Total Pages : 473 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Applications Of Fractional Calculus In Physics by : Rudolf Hilfer

Download or read book Applications Of Fractional Calculus In Physics written by Rudolf Hilfer and published by World Scientific. This book was released on 2000-03-02 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional calculus is a collection of relatively little-known mathematical results concerning generalizations of differentiation and integration to noninteger orders. While these results have been accumulated over centuries in various branches of mathematics, they have until recently found little appreciation or application in physics and other mathematically oriented sciences. This situation is beginning to change, and there are now a growing number of research areas in physics which employ fractional calculus.This volume provides an introduction to fractional calculus for physicists, and collects easily accessible review articles surveying those areas of physics in which applications of fractional calculus have recently become prominent.

Generalized Fractional Calculus and Applications

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Publisher : CRC Press
ISBN 13 : 9780582219779
Total Pages : 412 pages
Book Rating : 4.2/5 (197 download)

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Book Synopsis Generalized Fractional Calculus and Applications by : Virginia S Kiryakova

Download or read book Generalized Fractional Calculus and Applications written by Virginia S Kiryakova and published by CRC Press. This book was released on 1993-12-27 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume various applications are discussed, in particular to the hyper-Bessel differential operators and equations, Dzrbashjan-Gelfond-Leontiev operators and Borel type transforms, convolutions, new representations of hypergeometric functions, solutions to classes of differential and integral equations, transmutation method, and generalized integral transforms. Some open problems are also posed. This book is intended for graduate and post-graduate students, lecturers, researchers and others working in applied mathematical analysis, mathematical physics and related disciplines.

Multivariable Calculus with Applications

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Publisher : Springer
ISBN 13 : 3319740733
Total Pages : 488 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Multivariable Calculus with Applications by : Peter D. Lax

Download or read book Multivariable Calculus with Applications written by Peter D. Lax and published by Springer. This book was released on 2018-03-12 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

How to Ace Calculus

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Publisher : Times Books
ISBN 13 : 1627798854
Total Pages : 340 pages
Book Rating : 4.6/5 (277 download)

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Book Synopsis How to Ace Calculus by : Colin Adams

Download or read book How to Ace Calculus written by Colin Adams and published by Times Books. This book was released on 2015-10-06 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by three gifted-and funny-teachers, How to Ace Calculus provides humorous and readable explanations of the key topics of calculus without the technical details and fine print that would be found in a more formal text. Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams-all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.

Calculus & Its Applications, Global Edition

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Publisher : Pearson Higher Ed
ISBN 13 : 1292229101
Total Pages : 677 pages
Book Rating : 4.2/5 (922 download)

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Book Synopsis Calculus & Its Applications, Global Edition by : Larry J. Goldstein

Download or read book Calculus & Its Applications, Global Edition written by Larry J. Goldstein and published by Pearson Higher Ed. This book was released on 2018-03-05 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus & Its Applications builds intuition with key concepts of calculus before the analytical material. For example, the authors explain the derivative geometrically before they present limits, and they introduce the definite integral intuitively via the notion of net change before they discuss Riemann sums. The strategic organisation of topics makes it easy to adjust the level of theoretical material covered. The significant applications introduced early in the course serve to motivate students and make the mathematics more accessible. Another unique aspect of the text is its intuitive use of differential equations to model a variety of phenomena in Chapter 5, which addresses applications of exponential and logarithmic functions. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.

Applications Of Calculus To Biology And Medicine: Case Studies From Lake Victoria

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813222794
Total Pages : 272 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Applications Of Calculus To Biology And Medicine: Case Studies From Lake Victoria by : Nathan Ryan

Download or read book Applications Of Calculus To Biology And Medicine: Case Studies From Lake Victoria written by Nathan Ryan and published by World Scientific Publishing Company. This book was released on 2017-08-17 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biology majors and pre-health students at many colleges and universities are required to take a semester of calculus but rarely do such students see authentic applications of its techniques and concepts. Applications of Calculus to Biology and Medicine: Case Studies from Lake Victoria is designed to address this issue: it prepares students to engage with the research literature in the mathematical modeling of biological systems, assuming they have had only one semester of calculus. The text includes projects, problems and exercises: the projects ask the students to engage with the research literature, problems ask the students to extend their understanding of the materials and exercises ask the students to check their understanding as they read the text. Students who successfully work their way through the text will be able to engage in a meaningful way with the research literature to the point that they would be able to make genuine contributions to the literature.