Calculus And Analytic Geometry Pt 2 Vectors And Functions Of Several Variables
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Calculus And Analytic Geometry Pt 2 Vectors And Functions Of Several Variables
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Author : G.B. Thomas (Jr.)
language : en
Publisher:
Release Date : 1972
Calculus And Analytic Geometry Pt 2 Vectors And Functions Of Several Variables written by G.B. Thomas (Jr.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
Course In Analysis A Vol Ii Differentiation And Integration Of Functions Of Several Variables Vector Calculus
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Author : Niels Jacob
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-06-29
Course In Analysis A Vol Ii Differentiation And Integration Of Functions Of Several Variables Vector Calculus written by Niels Jacob 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 2016-06-29 with Mathematics categories.
'The authors give many examples, illustrations and exercises to help students digest the theory and they employ use of clear and neat notation throughout. I really appreciate their selection of exercises, since many of the problems develop simple techniques to be used later in the book or make connections of analysis with other parts of mathematics. There are also solutions to all of the exercises in the back of the book. As in the first volume there are some real gems in volume II. A Course in Analysis seems to be full of these little gems where the authors use the material or ask the readers to use the material to obtain results or examples that the reader will certainly see again in another context later in their studies of mathematics. Generally, the quality of exposition in both of the first two volumes is very high. I recommend these books.' (See Full Review)MAA ReviewsThis is the second volume of 'A Course in Analysis' and it is devoted to the study of mappings between subsets of Euclidean spaces. The metric, hence the topological structure is discussed as well as the continuity of mappings. This is followed by introducing partial derivatives of real-valued functions and the differential of mappings. Many chapters deal with applications, in particular to geometry (parametric curves and surfaces, convexity), but topics such as extreme values and Lagrange multipliers, or curvilinear coordinates are considered too. On the more abstract side results such as the Stone-Weierstrass theorem or the Arzela-Ascoli theorem are proved in detail. The first part ends with a rigorous treatment of line integrals.The second part handles iterated and volume integrals for real-valued functions. Here we develop the Riemann (-Darboux-Jordan) theory. A whole chapter is devoted to boundaries and Jordan measurability of domains. We also handle in detail improper integrals and give some of their applications.The final part of this volume takes up a first discussion of vector calculus. Here we present a working mathematician's version of Green's, Gauss' and Stokes' theorem. Again some emphasis is given to applications, for example to the study of partial differential equations. At the same time we prepare the student to understand why these theorems and related objects such as surface integrals demand a much more advanced theory which we will develop in later volumes.This volume offers more than 260 problems solved in complete detail which should be of great benefit to every serious student.
The Calculus With Analytic Geometry Infinite Series Vectors And Functions Of Several Variables
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Author : Louis Leithold
language : en
Publisher:
Release Date : 1972
The Calculus With Analytic Geometry Infinite Series Vectors And Functions Of Several Variables written by Louis Leithold and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Calculus categories.
Functions Of One Variable And Plane Analytic Geometry Pt 2 Vectors Functions Of Several Variables And Infinite Series
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Author : Louis Leithold
language : en
Publisher:
Release Date :
Functions Of One Variable And Plane Analytic Geometry Pt 2 Vectors Functions Of Several Variables And Infinite Series written by Louis Leithold and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Calculus categories.
The American Mathematical Monthly
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Author :
language : en
Publisher:
Release Date : 1976
The American Mathematical Monthly written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematicians categories.
Includes articles, as well as notes and other features, about mathematics and the profession.
Mathematical Foundations For Linear Circuits And Systems In Engineering
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Author : John J. Shynk
language : en
Publisher: John Wiley & Sons
Release Date : 2016-01-26
Mathematical Foundations For Linear Circuits And Systems In Engineering written by John J. Shynk 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 2016-01-26 with Mathematics categories.
Extensive coverage of mathematical techniques used in engineering with an emphasis on applications in linear circuits and systems Mathematical Foundations for Linear Circuits and Systems in Engineering provides an integrated approach to learning the necessary mathematics specifically used to describe and analyze linear circuits and systems. The chapters develop and examine several mathematical models consisting of one or more equations used in engineering to represent various physical systems. The techniques are discussed in-depth so that the reader has a better understanding of how and why these methods work. Specific topics covered include complex variables, linear equations and matrices, various types of signals, solutions of differential equations, convolution, filter designs, and the widely used Laplace and Fourier transforms. The book also presents a discussion of some mechanical systems that mathematically exhibit the same dynamic properties as electrical circuits. Extensive summaries of important functions and their transforms, set theory, series expansions, various identities, and the Lambert W-function are provided in the appendices. The book has the following features: Compares linear circuits and mechanical systems that are modeled by similar ordinary differential equations, in order to provide an intuitive understanding of different types of linear time-invariant systems. Introduces the theory of generalized functions, which are defined by their behavior under an integral, and describes several properties including derivatives and their Laplace and Fourier transforms. Contains numerous tables and figures that summarize useful mathematical expressions and example results for specific circuits and systems, which reinforce the material and illustrate subtle points. Provides access to a companion website that includes a solutions manual with MATLAB code for the end-of-chapter problems. Mathematical Foundations for Linear Circuits and Systems in Engineering is written for upper undergraduate and first-year graduate students in the fields of electrical and mechanical engineering. This book is also a reference for electrical, mechanical, and computer engineers as well as applied mathematicians. John J. Shynk, PhD, is Professor of Electrical and Computer Engineering at the University of California, Santa Barbara. He was a Member of Technical Staff at Bell Laboratories, and received degrees in systems engineering, electrical engineering, and statistics from Boston University and Stanford University.
Course In Analysis A Volume I Introductory Calculus Analysis Of Functions Of One Real Variable
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Author : Niels Jacob
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-08-18
Course In Analysis A Volume I Introductory Calculus Analysis Of Functions Of One Real Variable written by Niels Jacob 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 2015-08-18 with Mathematics categories.
Part 1 begins with an overview of properties of the real numbers and starts to introduce the notions of set theory. The absolute value and in particular inequalities are considered in great detail before functions and their basic properties are handled. From this the authors move to differential and integral calculus. Many examples are discussed. Proofs not depending on a deeper understanding of the completeness of the real numbers are provided. As a typical calculus module, this part is thought as an interface from school to university analysis. Part 2 returns to the structure of the real numbers, most of all to the problem of their completeness which is discussed in great depth. Once the completeness of the real line is settled the authors revisit the main results of Part 1 and provide complete proofs. Moreover they develop differential and integral calculus on a rigorous basis much further by discussing uniform convergence and the interchanging of limits, infinite series (including Taylor series) and infinite products, improper integrals and the gamma function. In addition they discussed in more detail as usual monotone and convex functions. Finally, the authors supply a number of Appendices, among them Appendices on basic mathematical logic, more on set theory, the Peano axioms and mathematical induction, and on further discussions of the completeness of the real numbers. Remarkably, Volume I contains ca. 360 problems with complete, detailed solutions.
Calculus And Analytic Geometry
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Author : George Brinton Thomas (Jr.)
language : en
Publisher:
Release Date : 1960
Calculus And Analytic Geometry written by George Brinton Thomas (Jr.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Calculus categories.
Elementary Theory And Application Of Numerical Analysis
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Author : David G. Moursund
language : en
Publisher: Courier Dover Publications
Release Date : 2013-04-22
Elementary Theory And Application Of Numerical Analysis written by David G. Moursund and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
This updated introduction to modern numerical analysis is a complete revision of a classic text originally written in Fortran but now featuring the programming language C++. It focuses on a relatively small number of basic concepts and techniques. Many exercises appear throughout the text, most with solutions. An extensive tutorial explains how to solve problems with C++.
Probability Random Variables And Random Processes
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Author : John J. Shynk
language : en
Publisher: John Wiley & Sons
Release Date : 2012-10-15
Probability Random Variables And Random Processes written by John J. Shynk 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 2012-10-15 with Computers categories.
Probability, Random Variables, and Random Processes is a comprehensive textbook on probability theory for engineers that provides a more rigorous mathematical framework than is usually encountered in undergraduate courses. It is intended for first-year graduate students who have some familiarity with probability and random variables, though not necessarily of random processes and systems that operate on random signals. It is also appropriate for advanced undergraduate students who have a strong mathematical background. The book has the following features: Several appendices include related material on integration, important inequalities and identities, frequency-domain transforms, and linear algebra. These topics have been included so that the book is relatively self-contained. One appendix contains an extensive summary of 33 random variables and their properties such as moments, characteristic functions, and entropy. Unlike most books on probability, numerous figures have been included to clarify and expand upon important points. Over 600 illustrations and MATLAB plots have been designed to reinforce the material and illustrate the various characterizations and properties of random quantities. Sufficient statistics are covered in detail, as is their connection to parameter estimation techniques. These include classical Bayesian estimation and several optimality criteria: mean-square error, mean-absolute error, maximum likelihood, method of moments, and least squares. The last four chapters provide an introduction to several topics usually studied in subsequent engineering courses: communication systems and information theory; optimal filtering (Wiener and Kalman); adaptive filtering (FIR and IIR); and antenna beamforming, channel equalization, and direction finding. This material is available electronically at the companion website. Probability, Random Variables, and Random Processes is the only textbook on probability for engineers that includes relevant background material, provides extensive summaries of key results, and extends various statistical techniques to a range of applications in signal processing.