Calculus and Linear Algebra: Vector spaces, many-variable calculus, and differential equations

Calculus and Linear Algebra: Vector spaces, many-variable calculus, and differential equations PDF Author: Wilfred Kaplan
Publisher:
ISBN:
Category : Algebras, Linear
Languages : en
Pages : 628

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Calculus and Linear Algebra: Vector spaces, many-variable calculus, and differential equations

Calculus and Linear Algebra: Vector spaces, many-variable calculus, and differential equations PDF Author: Wilfred Kaplan
Publisher:
ISBN:
Category : Algebras, Linear
Languages : en
Pages : 628

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Book Description


Calculus and Analysis in Euclidean Space

Calculus and Analysis in Euclidean Space PDF Author: Jerry Shurman
Publisher: Springer
ISBN: 3319493140
Category : Mathematics
Languages : en
Pages : 515

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Book Description
The graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, with the material on differentiation culminating in the inverse and implicit function theorems, and the material on integration culminating in the general fundamental theorem of integral calculus. More in-depth than most calculus books but less technical than a typical analysis introduction, Calculus and Analysis in Euclidean Space offers a rich blend of content to students outside the traditional mathematics major, while also providing transitional preparation for those who will continue on in the subject. The writing in this book aims to convey the intent of ideas early in discussion. The narrative proceeds through figures, formulas, and text, guiding the reader to do mathematics resourcefully by marshaling the skills of geometric intuition (the visual cortex being quickly instinctive) algebraic manipulation (symbol-patterns being precise and robust) incisive use of natural language (slogans that encapsulate central ideas enabling a large-scale grasp of the subject). Thinking in these ways renders mathematics coherent, inevitable, and fluid. The prerequisite is single-variable calculus, including familiarity with the foundational theorems and some experience with proofs.

Multivariable Mathematics

Multivariable Mathematics PDF Author: Theodore Shifrin
Publisher: John Wiley & Sons
ISBN: 047152638X
Category : Mathematics
Languages : en
Pages : 514

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Book Description
Multivariable Mathematics combines linear algebra and multivariable mathematics in a rigorous approach. The material is integrated to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author includes all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible, and also includes complete proofs. * Contains plenty of examples, clear proofs, and significant motivation for the crucial concepts. * Numerous exercises of varying levels of difficulty, both computational and more proof-oriented. * Exercises are arranged in order of increasing difficulty.

Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach

Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach PDF Author: John Hamal Hubbard
Publisher:
ISBN: 9780971576674
Category : Algebras, Linear
Languages : en
Pages : 284

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Book Description


Intuitive Probability and Random Processes using MATLAB®

Intuitive Probability and Random Processes using MATLAB® PDF Author: Steven Kay
Publisher: Springer Science & Business Media
ISBN: 0387241582
Category : Technology & Engineering
Languages : en
Pages : 838

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Book Description
Intuitive Probability and Random Processes using MATLAB® is an introduction to probability and random processes that merges theory with practice. Based on the author’s belief that only "hands-on" experience with the material can promote intuitive understanding, the approach is to motivate the need for theory using MATLAB examples, followed by theory and analysis, and finally descriptions of "real-world" examples to acquaint the reader with a wide variety of applications. The latter is intended to answer the usual question "Why do we have to study this?" Other salient features are: *heavy reliance on computer simulation for illustration and student exercises *the incorporation of MATLAB programs and code segments *discussion of discrete random variables followed by continuous random variables to minimize confusion *summary sections at the beginning of each chapter *in-line equation explanations *warnings on common errors and pitfalls *over 750 problems designed to help the reader assimilate and extend the concepts Intuitive Probability and Random Processes using MATLAB® is intended for undergraduate and first-year graduate students in engineering. The practicing engineer as well as others having the appropriate mathematical background will also benefit from this book. About the Author Steven M. Kay is a Professor of Electrical Engineering at the University of Rhode Island and a leading expert in signal processing. He has received the Education Award "for outstanding contributions in education and in writing scholarly books and texts..." from the IEEE Signal Processing society and has been listed as among the 250 most cited researchers in the world in engineering.

Calculus of Vector Functions

Calculus of Vector Functions PDF Author: Richard E. Williamson
Publisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 644

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Book Description


Calculus

Calculus PDF Author: Gilbert Strang
Publisher:
ISBN: 9781938168062
Category : Calculus
Languages : en
Pages : 824

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Book Description
"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 on Manifolds

Calculus on Manifolds PDF Author: Michael Spivak
Publisher: Westview Press
ISBN: 9780805390216
Category : Science
Languages : en
Pages : 164

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Book Description
This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.

Linear Algebra

Linear Algebra PDF Author: Theodore Shifrin
Publisher: Macmillan
ISBN: 1429215216
Category : Mathematics
Languages : en
Pages : 394

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Book Description
Linear Algebra: A Geometric Approach, Second Edition, presents the standard computational aspects of linear algebra and includes a variety of intriguing interesting applications that would be interesting to motivate science and engineering students, as well as help mathematics students make the transition to more abstract advanced courses. The text guides students on how to think about mathematical concepts and write rigorous mathematical arguments.

Multivariable Calculus, Linear Algebra, and Differential Equations

Multivariable Calculus, Linear Algebra, and Differential Equations PDF Author: Stanley I. Grossman
Publisher: Academic Press
ISBN: 1483218031
Category : Mathematics
Languages : en
Pages : 993

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Book Description
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.