The Calculus And Its Applications

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Calculus & Its Applications, Global Edition

Author : Larry J. Goldstein
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.

Differential Calculus and Its Applications

Author : Michael J. Field
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.

Malliavin Calculus and Its Applications

Author : David Nualart
Publisher : American Mathematical Soc.
ISBN 13 : 0821847791
Total Pages : 99 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Malliavin Calculus and Its Applications by : David Nualart

Download or read book Malliavin Calculus and Its Applications written by David Nualart and published by American Mathematical Soc.. This book was released on 2009 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Malliavin calculus was developed to provide a probabilistic proof of Hormander's hypoellipticity theorem. The theory has expanded to encompass other significant applications. The main application of the Malliavin calculus is to establish the regularity of the probability distribution of functionals of an underlying Gaussian process. In this way, one can prove the existence and smoothness of the density for solutions of various stochastic differential equations. More recently, applications of the Malliavin calculus in areas such as stochastic calculus for fractional Brownian motion, central limit theorems for multiple stochastic integrals, and mathematical finance have emerged. The first part of the book covers the basic results of the Malliavin calculus. The middle part establishes the existence and smoothness results that then lead to the proof of Hormander's hypoellipticity theorem. The last part discusses the recent developments for Brownian motion, central limit theorems, and mathematical finance.

Calculus With Applications

Author : Peter D. Lax
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.

Introduction to Stochastic Calculus with Applications

Author : Fima C. Klebaner
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.

Calculus and Its Applications

Author : P. Mainardi
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.

Calculus of Variations with Applications

Author : George McNaught Ewing
Publisher : Courier Corporation
ISBN 13 : 0486648567
Total Pages : 355 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Calculus of Variations with Applications by : George McNaught Ewing

Download or read book Calculus of Variations with Applications written by George McNaught Ewing and published by Courier Corporation. This book was released on 1985-01-01 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications-oriented introduction to variational theory develops insight and promotes understanding of specialized books and research papers. Suitable for advanced undergraduate and graduate students as a primary or supplementary text. 1969 edition.

Calculus and Its Applications

Author : Larry Joel Goldstein
Publisher :
ISBN 13 : 9780131118805
Total Pages : 684 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Calculus and Its Applications by : Larry Joel Goldstein

Download or read book Calculus and Its Applications written by Larry Joel Goldstein and published by . This book was released on 1977 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Essential Calculus with Applications

Author : Richard A. Silverman
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.

Schubert Calculus and Its Applications in Combinatorics and Representation Theory

Author : Jianxun Hu
Publisher : Springer Nature
ISBN 13 : 9811574510
Total Pages : 367 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Schubert Calculus and Its Applications in Combinatorics and Representation Theory by : Jianxun Hu

Download or read book Schubert Calculus and Its Applications in Combinatorics and Representation Theory written by Jianxun Hu and published by Springer Nature. This book was released on 2020-10-24 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers research papers and surveys on the latest advances in Schubert Calculus, presented at the International Festival in Schubert Calculus, held in Guangzhou, China on November 6–10, 2017. With roots in enumerative geometry and Hilbert's 15th problem, modern Schubert Calculus studies classical and quantum intersection rings on spaces with symmetries, such as flag manifolds. The presence of symmetries leads to particularly rich structures, and it connects Schubert Calculus to many branches of mathematics, including algebraic geometry, combinatorics, representation theory, and theoretical physics. For instance, the study of the quantum cohomology ring of a Grassmann manifold combines all these areas in an organic way. The book is useful for researchers and graduate students interested in Schubert Calculus, and more generally in the study of flag manifolds in relation to algebraic geometry, combinatorics, representation theory and mathematical physics.

Generalized Calculus with Applications to Matter and Forces

Author : Luis Manuel Braga de Costa Campos
Publisher : CRC Press
ISBN 13 : 1420071157
Total Pages : 888 pages
Book Rating : 4.4/5 (2 download)

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

Download or read book Generalized Calculus with Applications to Matter and Forces written by Luis Manuel Braga de Costa Campos and published by CRC Press. This book was released on 2014-04-18 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Applications

Author : Peter D. Lax
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.

Fractional Calculus and Its Applications

Author : B. Ross
Publisher : Springer
ISBN 13 : 3540699759
Total Pages : 391 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Fractional Calculus and Its Applications by : B. Ross

Download or read book Fractional Calculus and Its Applications written by B. Ross and published by Springer. This book was released on 2006-11-15 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Heart of Calculus

Author : Philip M. Anselone
Publisher : American Mathematical Soc.
ISBN 13 : 1614441189
Total Pages : 228 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis The Heart of Calculus by : Philip M. Anselone

Download or read book The Heart of Calculus written by Philip M. Anselone and published by American Mathematical Soc.. This book was released on 2015-12-31 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains enrichment material for courses in first and second year calculus, differential equations, modeling, and introductory real analysis. It targets talented students who seek a deeper understanding of calculus and its applications. The book can be used in honors courses, undergraduate seminars, independent study, capstone courses taking a fresh look at calculus, and summer enrichment programs. The book develops topics from novel and/or unifying perspectives. Hence, it is also a valuable resource for graduate teaching assistants developing their academic and pedagogical skills and for seasoned veterans who appreciate fresh perspectives. The explorations, problems, and projects in the book impart a deeper understanding of and facility with the mathematical reasoning that lies at the heart of calculus and conveys something of its beauty and depth. A high level of rigor is maintained. However, with few exceptions, proofs depend only on tools from calculus and earlier. Analytical arguments are carefully structured to avoid epsilons and deltas. Geometric and/or physical reasoning motivates challenging analytical discussions. Consequently, the presentation is friendly and accessible to students at various levels of mathematical maturity. Logical reasoning skills at the level of proof in Euclidean geometry suffice for a productive use of the book.

Introduction to the Calculus of Variations and Control with Modern Applications

Author : John A. Burns
Publisher : CRC Press
ISBN 13 : 1466571403
Total Pages : 562 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Introduction to the Calculus of Variations and Control with Modern Applications by : John A. Burns

Download or read book Introduction to the Calculus of Variations and Control with Modern Applications written by John A. Burns and published by CRC Press. This book was released on 2013-08-28 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book also presents some classical sufficient conditions a

Calculus and Its Applications, Expanded Version

Author : Marvin L. Bittinger
Publisher : Pearson
ISBN 13 : 9780321838209
Total Pages : 0 pages
Book Rating : 4.8/5 (382 download)

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Book Synopsis Calculus and Its Applications, Expanded Version by : Marvin L. Bittinger

Download or read book Calculus and Its Applications, Expanded Version written by Marvin L. Bittinger and published by Pearson. This book was released on 2012-12-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an expanded version of Calculus and its Applications, Tenth Edition, by Bittinger, Ellenbogen, and Surgent. This edition adds coverage of trigonometric functions, differential equations, sequences and series, probability distributions, and matrices. Calculus and Its Applications has become a best-selling text because of its accessible presentation that anticipates your needs. The writing style provides intuitive explanations that build on earlier mathematical experiences. Explanations are often coupled with figures to help you visualize new calculus concepts. Additionally, the text's numerous and up-to-date applications from business, economics, life sciences, and social sciences help motivate you. Algebra diagnostic and review material is available for those who need to strengthen basic skills. Every aspect of this text is designed to motivate and help you to more readily understand and apply the mathematics.

Stochastic Calculus and Applications

Author : Samuel N. Cohen
Publisher : Birkhäuser
ISBN 13 : 1493928678
Total Pages : 673 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Stochastic Calculus and Applications by : Samuel N. Cohen

Download or read book Stochastic Calculus and Applications written by Samuel N. Cohen and published by Birkhäuser. This book was released on 2015-11-18 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: Completely revised and greatly expanded, the new edition of this text takes readers who have been exposed to only basic courses in analysis through the modern general theory of random processes and stochastic integrals as used by systems theorists, electronic engineers and, more recently, those working in quantitative and mathematical finance. Building upon the original release of this title, this text will be of great interest to research mathematicians and graduate students working in those fields, as well as quants in the finance industry. New features of this edition include: End of chapter exercises; New chapters on basic measure theory and Backward SDEs; Reworked proofs, examples and explanatory material; Increased focus on motivating the mathematics; Extensive topical index. "Such a self-contained and complete exposition of stochastic calculus and applications fills an existing gap in the literature. The book can be recommended for first-year graduate studies. It will be useful for all who intend to work with stochastic calculus as well as with its applications."–Zentralblatt (from review of the First Edition)