Companies Home Search Profile

An Introduction to Multivariable Mathematics (Synthesis Lectures on Mathematics and Statistics, 3)

An Introduction to Multivariable Mathematics (Synthesis Lectures on Mathematics and Statistics, 3)

Download pdf

An Introduction to Multivariable Mathematics (Synthesis Lectures on Mathematics and Statistics, 3)

An Introduction to Multivariable Mathematics (Synthesis Lectures on Mathematics and Statistics, 3)

Category

Statistics

Math

Calculus

Author

Leon Simon

Publication

Morgan and Claypool Publishers

0 View

The text is designed for use in a forty-lecture introductory course covering linear algebra, multivariable differential calculus, and an introduction to real analysis. The core material of the book is arranged to allow for the main introductory material on linear algebra, including basic vector space theory in Euclidean space and the initial theory of matrices and linear systems, to be covered in the first ten or eleven lectures, followed by a similar number of lectures on basic multivariable analysis, including first theorems on differentiable functions on domains in Euclidean space and a brief introduction to submanifolds. The book then concludes with further essential linear algebra, including the theory of determinants, eigenvalues, and the spectral theorem for real symmetric matrices, and further multivariable analysis, including the contraction mapping principle and the inverse and implicit function theorems. There is also an appendix which provides a nine-lecture introduction to real analysis. There are various ways in which the additional material in the appendix could be integrated into a course--for example in the Stanford Mathematics honors program, run as a four-lecture per week program in the Autumn Quarter each year, the first six lectures of the nine-lecture appendix are presented at the rate of one lecture per week in weeks two through seven of the quarter, with the remaining three lectures per week during those weeks being devoted to the main chapters of the text. It is hoped that the text would be suitable for a quarter or semester course for students who have scored well in the BC Calculus advanced placement examination (or equivalent), particularly those who are considering a possible major in mathematics. The author has attempted to make the presentation rigorous and complete, with the clarity and simplicity needed to make it accessible to an appropriately large group of students. Table of Contents: Linear Algebra / Analysis in R / More Linear Algebra / More Analysis in R / Appendix: Introductory Lectures on Real Analysis

'

Download pdf

ISBN-10

1598298011

ISBN-13

978-1598298017

Publisher

Morgan and Claypool Publishers

Price

0

File Type

PDF

Page No.

142

Leon Simon

Similar Books

Math for Deep Learning: What You Need to Know to Understand Neural Networks

Math for Deep Learning: What You Need to Know to Understand Neural Networks

Ronald T. Kneusel

Essential Math for Data Science: Take Control of Your Data with Fundamental Linear Algebra, Probability, and Statistics

Essential Math for Data Science: Take Control of Your Data with Fundamental Linear Algebra, Probability, and Statistics

Thomas Nield

TI-84 Plus CE Graphing Calculator For Dummies (For Dummies (Computer/Tech))

TI-84 Plus CE Graphing Calculator For Dummies (For Dummies (Computer/Tech))

Jeff McCalla

Numerical Solution of Differential Equations: Introduction to Finite Difference and Finite Element Methods

Numerical Solution of Differential Equations: Introduction to Finite Difference and Finite Element Methods

Zhilin Li

Mathematics and its Applications in New Computer Systems: MANCS-2021 (Lecture Notes in Networks and Systems, 424)

Mathematics and its Applications in New Computer Systems: MANCS-2021 (Lecture Notes in Networks and Systems, 424)

Andrei Tchernykh

Algorithms for a New World: When Big Data and Mathematical Models Meet

Algorithms for a New World: When Big Data and Mathematical Models Meet

Alfio Quarteroni

Computational Diffusion MRI: MICCAI Workshop, Shenzhen, China, October 2019 (Mathematics and Visualization)

Computational Diffusion MRI: MICCAI Workshop, Shenzhen, China, October 2019 (Mathematics and Visualization)

Elisenda Bonet-Carne

Inside Deep Learning: Math, Algorithms, Models

Inside Deep Learning: Math, Algorithms, Models

Edward Raff

Distributed Sensor Networks: Image and Sensor Signal Processing (Volume One) (Chapman & Hall/CRC Computer and Information Science Series)

Distributed Sensor Networks: Image and Sensor Signal Processing (Volume One) (Chapman & Hall/CRC Computer and Information Science Series)

S. Sitharama Iyengar

Software Development

Mathematical and Algorithmic Foundations of the Internet (Chapman & Hall/CRC Applied Algorithms and Data Structures series)

Mathematical and Algorithmic Foundations of the Internet (Chapman & Hall/CRC Applied Algorithms and Data Structures series)

Fabrizio Luccio

Mathematical Aspects of Logic Programming Semantics (Chapman & Hall/CRC Studies in Informatics Series)

Mathematical Aspects of Logic Programming Semantics (Chapman & Hall/CRC Studies in Informatics Series)

Anthony Seda

Mathematics & Physics for Programmers (GAME DEVELOPMENT SERIES)

Mathematics & Physics for Programmers (GAME DEVELOPMENT SERIES)

John P. Flynt

Software Development

Patently Mathematical: Picking Partners, Passwords, and Careers by the Numbers

Patently Mathematical: Picking Partners, Passwords, and Careers by the Numbers

Jeff Suzuki

Mathematical Pictures at a Data Science Exhibition

Mathematical Pictures at a Data Science Exhibition

Simon Foucart

Mathematical Programming for Power Systems Operation: From Theory to Applications in Python (IEEE Press)

Mathematical Programming for Power Systems Operation: From Theory to Applications in Python (IEEE Press)

Alejandro Garcés

Mathematical Modeling for Intelligent Systems: Theory, Methods, and Simulation

Mathematical Modeling for Intelligent Systems: Theory, Methods, and Simulation

Ravi Tomar

Statistics for Data Scientists: An Introduction to Probability, Statistics, and Data Analysis (Undergraduate Topics in Computer Science)

Statistics for Data Scientists: An Introduction to Probability, Statistics, and Data Analysis (Undergraduate Topics in Computer Science)

Maurits Kaptein

Software Testing

Training Systems Using Python Statistical Modeling: Explore popular techniques for modeling your data in Python

Training Systems Using Python Statistical Modeling: Explore popular techniques for modeling your data in Python

Curtis Miller

R Statistics Cookbook: Over 100 recipes for performing complex statistical operations with R 3.5

R Statistics Cookbook: Over 100 recipes for performing complex statistical operations with R 3.5

Francisco Juretig

The COVID-19 Pandemic: A Multidisciplinary Review of Diagnosis, Prevention, and Treatment

The COVID-19 Pandemic: A Multidisciplinary Review of Diagnosis, Prevention, and Treatment

Sagheer Ahmed

Program Evaluation: Forms and approaches

Program Evaluation: Forms and approaches

John M. Owen

BeginneR Introductory Statistics Using R

BeginneR Introductory Statistics Using R

Darrin Thomas

Statistical Significance Testing for Natural Language Processing (Synthesis Lectures on Human Language Technologies)

Statistical Significance Testing for Natural Language Processing (Synthesis Lectures on Human Language Technologies)

Rotem Dror

Artificial Intelligence

Straightforward Statistics with Excel

Straightforward Statistics with Excel

Chieh-Chen Bowen

Statistics and Data Visualization Using R: The Art and Practice of Data Analysis

Statistics and Data Visualization Using R: The Art and Practice of Data Analysis

David S. Brown

Think Bayes: Bayesian Statistics in Python (O'reilly)

Think Bayes: Bayesian Statistics in Python (O'reilly)

Allen Downey

Practical Time Series Analysis: Prediction with Statistics and Machine Learning

Practical Time Series Analysis: Prediction with Statistics and Machine Learning

Aileen Nielsen

Machine Learning

An Introductory Guide to R: Easing the Learning Curve

An Introductory Guide to R: Easing the Learning Curve

Eric L. Einspruch

Other Authors' Books

Other Publishing Books

PSpice for Filters and Transmission Lines (Synthesis Lectures on Digital Circuits and Systems, 8)

PSpice for Filters and Transmission Lines (Synthesis Lectures on Digital Circuits and Systems, 8)

Paul Tobin

Electrical Circuits

PSpice for Digital Signal Processing (Synthesis Lectures on Digital Circuits and Systems)

PSpice for Digital Signal Processing (Synthesis Lectures on Digital Circuits and Systems)

Paul Tobin

Electrical Circuits

Pragmatic Logic (Synthesis Lectures on Digital Circuits and Systems, 13)

Pragmatic Logic (Synthesis Lectures on Digital Circuits and Systems, 13)

William J. Eccles

Fundamentals of Spread Spectrum Modulation (Synthesis Lectures on Communications, 3)

Fundamentals of Spread Spectrum Modulation (Synthesis Lectures on Communications, 3)

Rodger E. Ziemer

Dependency Parsing (Synthesis Lectures on Human Language Technologies, 2)

Dependency Parsing (Synthesis Lectures on Human Language Technologies, 2)

Sandra Kubler

Natural Language Processing

Fault Tolerant Computer Architecture (Synthesis Lectures on Computer Architecture, 5)

Fault Tolerant Computer Architecture (Synthesis Lectures on Computer Architecture, 5)

Daniel J. Sorin

Computer Architecture

Embedded Systems Interfacing for Engineers using the Freescale HCS08 Microcontroller I: Assembly Language Programming (Synthesis Lectures on Digital Circuits & Systems)

Embedded Systems Interfacing for Engineers using the Freescale HCS08 Microcontroller I: Assembly Language Programming (Synthesis Lectures on Digital Circuits & Systems)

Douglas Summerville

Microcontroller

Advances in Modern Blind Signal Separation Algorithms (Synthesis Lectures on Algorithms and Software in Engineering)

Advances in Modern Blind Signal Separation Algorithms (Synthesis Lectures on Algorithms and Software in Engineering)

Kostas Kokkinakis

Software Engineering

Basic Simulation Models of Phase Tracking Devices Using MATLAB (Synthesis Lectures on Communications)

Basic Simulation Models of Phase Tracking Devices Using MATLAB (Synthesis Lectures on Communications)

William Tranter

User Reviews

Log in first to post a comment

Rating

0

0

0

0

0

average 0

Total votes0