Calculus Multi Variable Calculus And Linear Algebra With Applications To Differential Equations And Probability
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Calculus Volume Ii 2nd Ed Multi Variable Calculus And Linear Algebra With Applications To Differential Equations And Probabil
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Author : Tom M. Apostol
language : en
Publisher: John Wiley & Sons
Release Date : 2007
Calculus Volume Ii 2nd Ed Multi Variable Calculus And Linear Algebra With Applications To Differential Equations And Probabil written by Tom M. Apostol and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Calculus categories.
· Linear Analysis · Linear Spaces · Linear Transformations and Matrices · Determinants · Eigenvalues and Eigenvectors · Eigenvalues of Operators Acting on Euclidean Spaces · Linear Differential Equations · Systems of Differential Equations · Nonlinear Analysis · Differential Calculus of Scalar and Vector Fields · Applications of the Differential Calculus · Line Integrals · Special Topics · Set Functions and Elementary Probability · Calculus of Probabilities · Introduction to Numerical Analysis
Calculus Volume 2
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Author : Tom M. Apostol
language : en
Publisher: Wiley Global Education
Release Date : 2019-04-26
Calculus Volume 2 written by Tom M. Apostol and has been published by Wiley Global Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-26 with Mathematics categories.
Calculus, Volume 2, 2nd Edition An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation — this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.
Calculus Volume 1
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Author : Tom M. Apostol
language : en
Publisher: Wiley
Release Date : 1991-01-16
Calculus Volume 1 written by Tom M. Apostol and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-16 with Mathematics categories.
An introduction to the Calculus, with an excellent balance between theory and technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.
Multivariable Calculus Linear Algebra And Differential Equations
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Author : Stanley I. Grossman
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Multivariable Calculus Linear Algebra And Differential Equations written by Stanley I. Grossman and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Multivariable Calculus, Linear Algebra, and Differential Equations, Second Edition contains a comprehensive coverage of the study of advanced calculus, linear algebra, and differential equations for sophomore college students. The text includes a large number of examples, exercises, cases, and applications for students to learn calculus well. Also included is the history and development of calculus. The book is divided into five parts. The first part includes multivariable calculus material. The second part is an introduction to linear algebra. The third part of the book combines techniques from calculus and linear algebra and contains discussions of some of the most elegant results in calculus including Taylor's theorem in "n" variables, the multivariable mean value theorem, and the implicit function theorem. The fourth section contains detailed discussions of first-order and linear second-order equations. Also included are optional discussions of electric circuits and vibratory motion. The final section discusses Taylor's theorem, sequences, and series. The book is intended for sophomore college students of advanced calculus.
Advanced Calculus Revised Edition
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26
Advanced Calculus Revised Edition written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.
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.
Calculus Volume Ii 2nd Ed Multi Variable Calculus And Linear Algebra With Applications To Differential Equations And Probabil
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Author : Tom M. Apostol
language : en
Publisher: John Wiley & Sons
Release Date : 2007
Calculus Volume Ii 2nd Ed Multi Variable Calculus And Linear Algebra With Applications To Differential Equations And Probabil written by Tom M. Apostol and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Calculus categories.
· Linear Analysis · Linear Spaces · Linear Transformations and Matrices · Determinants · Eigenvalues and Eigenvectors · Eigenvalues of Operators Acting on Euclidean Spaces · Linear Differential Equations · Systems of Differential Equations · Nonlinear Analysis · Differential Calculus of Scalar and Vector Fields · Applications of the Differential Calculus · Line Integrals · Special Topics · Set Functions and Elementary Probability · Calculus of Probabilities · Introduction to Numerical Analysis
Vector Calculus And Linear Algebra
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Author : Oliver Knill
language : en
Publisher: World Scientific Publishing Company
Release Date : 2025-04-30
Vector Calculus And Linear Algebra written by Oliver Knill and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-30 with Mathematics categories.
This book covers vector calculus up to the integral theorems; linear algebra up to the spectral theorem; and harmonic analysis until the Dirichlet theorem on convergence of Fourier series with applications to partial differential equations. It also contains a unique introduction to proofs, while providing a solid foundation in understanding the proof techniques better.The book incorporates fundamentals from advanced calculus and linear algebra but it is still accessible to a rather general student audience.Students will find materials that are usually left out like differential forms in calculus, the Taylor theorem in arbitrary dimensions or the Jordan normal form in linear algebra, the convergence proof of Fourier series, and how to do calculus on discrete networks.The contents of this book were used to teach in a two-semester course at Harvard University during fall 2018 and spring 2019. For the last 30 years, Oliver Knill has taught calculus, linear algebra, probability theory and differential equations starting at ETH Zürich, moving onward to Caltech, and the University of Arizona, and ever since 2000, at Harvard.
Calculus With Applications
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Author : Peter D. Lax
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-21
Calculus With Applications written by Peter D. Lax and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-21 with Mathematics categories.
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.
Tensor Calculus And Applications
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Author : Bhaben Chandra Kalita
language : en
Publisher: CRC Press
Release Date : 2019-03-11
Tensor Calculus And Applications written by Bhaben Chandra Kalita and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-11 with Technology & Engineering categories.
The aim of this book is to make the subject easier to understand. This book provides clear concepts, tools, and techniques to master the subject -tensor, and can be used in many fields of research. Special applications are discussed in the book, to remove any confusion, and for absolute understanding of the subject. In most books, they emphasize only the theoretical development, but not the methods of presentation, to develop concepts. Without knowing how to change the dummy indices, or the real indices, the concept cannot be understood. This book takes it down a notch and simplifies the topic for easy comprehension. Features Provides a clear indication and understanding of the subject on how to change indices Describes the original evolution of symbols necessary for tensors Offers a pictorial representation of referential systems required for different kinds of tensors for physical problems Presents the correlation between critical concepts Covers general operations and concepts
Multivariate Calculus And Geometry
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Author : Sean Dineen
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-03-30
Multivariate Calculus And Geometry written by Sean Dineen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-30 with Mathematics categories.
This book provides the higher-level reader with a comprehensive review of all important aspects of Differential Calculus, Integral Calculus and Geometric Calculus of several variables The revised edition, which includes additional exercises and expanded solutions, and gives a solid description of the basic concepts via simple familiar examples which are then tested in technically demanding situations. Readers will gain a deep understanding of the uses and limitations of multivariate calculus.