14 research outputs found
Linear Algebra Done Right
No full textNow available in Open Access, this best-selling textbook for a second course in linear algebra is aimed at undergraduate math majors and graduate students. The fourth edition gives an expanded treatment of the singular value decomposition and its consequences. It includes a new chapter on multilinear algebra, treating bilinear forms, quadratic forms, tensor products, and an approach to determinants via alternating multilinear forms. This new edition also increases the use of the minimal polynomial to provide cleaner proofs of multiple results. Also, over 250 new exercises have been added. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. Beautiful formatting creates pages with an unusually student-friendly appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. The text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator. From the reviews of previous editions: Altogether, the text is a didactic masterpiece. — zbMATH The determinant-free proofs are elegant and intuitive. — American Mathematical Monthly The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library — CHOIC
Linear algebra done right
No full textThis best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator. From reviews of previous editions: “… a didactic masterpiece” —Zentralblatt MATH “… a tour de force in the service of simplicity and clarity … The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library.” —CHOICE “The determinant-free proofs are elegant and intuitive.” —American Mathematical Monthly “Clarity through examples is emphasized … the text is ideal for class exercises … I congratulate the author and the publisher for a well-produced textbook on linear algebra.” —Mathematical Review
Linear Algebra Done Right - Fourth Edition
No full text408 p.Now available in Open Access, this best-selling textbook for a second course in linear algebra is aimed at undergraduate math majors and graduate students. The fourth edition gives an expanded treatment of the singular value decomposition and its consequences. It includes a new chapter on multilinear algebra, treating bilinear forms, quadratic forms, tensor products, and an approach to determinants via alternating multilinear forms. This new edition also increases the use of the minimal polynomial to provide cleaner proofs of multiple results. Also, over 250 new exercises have been added.
The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. Beautiful formatting creates pages with an unusually student-friendly appearance in both print and electronic versions
Linear Algebra Done Right
No full textNow available in Open Access, this best-selling textbook for a second course in linear algebra is aimed at undergraduate math majors and graduate students. The fourth edition gives an expanded treatment of the singular value decomposition and its consequences. It includes a new chapter on multilinear algebra, treating bilinear forms, quadratic forms, tensor products, and an approach to determinants via alternating multilinear forms. This new edition also increases the use of the minimal polynomial to provide cleaner proofs of multiple results. Also, over 250 new exercises have been added. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. Beautiful formatting creates pages with an unusually student-friendly appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. The text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator. From the reviews of previous editions: Altogether, the text is a didactic masterpiece. — zbMATH The determinant-free proofs are elegant and intuitive. — American Mathematical Monthly The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library — CHOIC
Center for Community and Regional Research Report
No full textThe item lists "Jesse Schoemberg" as an author, but this is almost certainly a typo for "Jesse Schomberg."Individual landowners in rapidly growing areas of the North Shore Community are increasingly required to create stormwater management plans (SMPs) prior to building. Planning development with stormwater runoff in mind is particularly important on the North Shore of Lake Superior, characterized by shallow clay-rich soils over bedrock, steep slopes, and delicate wetland complexes. While numerous organizations exist with pieces of the information required to complete a SMP, the process of collecting expertise from multiple agencies is daunting for landowners. Duluth Township recognized the environmental importance of stormwater planning by passing new zoning ordinances mandating stormwater planning in some land use zones. However, they recognized the difficulty that landowners face in creating a SMP and are committed to finding solutions. The objective of this project was to connect Duluth Township landowners to tools and resources necessary to complete a Stormwater Management Plan for their property. This pilot project features development of a user friendly Internet Map Server (IMS) tool that allows landowners to easily generate working base maps of their property. To date, IMS website tools have been largely developed by GIS professionals who are familiar with the GIS interface. When the general public tries to utilize these same tools, they typically become frustrated with the complexities of these programs, and cannot obtain the valuable information they need. This project was unique in that it was driven by extensive landowner input before, during, and after development to ensure that the tools developed achieved our objectives. Township administrators were also involved in development of the IMS tool and companion step-by-step guide so that the resulting landowner SMPs satisfied the regulatory and reporting requirements of the township. With the user-friendly IMS interface, the landowner is able to easily obtain base maps of their property containing multiple layers of the best existing data, including aerial photographs, topography, and wetlands for developing the SMP's required by the Duluth Township zoning ordinance. While there are resolution limitations to the existing wetland data, the website guides landowners on how to elaborate on this base layer of data as they conduct a site evaluation of their property. For instance, the website illustrates how to identify a small unmapped wetland and add these features to the base map. While the SMP Guide and IMS mapping tool was specifically designed and tested on Duluth Township, the project serves as a model template easily expanded to other townships along the North Shore.This project was funded in part by the Coastal Zone Management Act, by NOAA's Office of Ocean and Coastal Resource Management, in cooperation with Minnesota's Lake Superior Coastal Program and the University of Minnesota Duluth Center for Community and Regional Research.Host, George E; Hale, Cindy; Collins, Pat; Geissler, John; Axler, Richard P; Schomberg, Jesse; Granley, Mindy; Sjerven, Gerald; Brown, Terry. (2007). Stormwater Planning Initiative Project – Stormwater Management Planning Guide and Landowner-friendly IMS website tool. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/219138
Yay for Determinants!
No full textIn this {\it case study}, we hope to show why Sheldon Axler was not just
wrong, but {\em wrong}, when he urged, in 1995: ``Down with Determinants!''. We
first recall how determinants are useful in enumerative combinatorics, and then
illustrate three versatile tools (Dodgson's condensation, the holonomic ansatz
and constant term evaluations) to operate in tandem to prove a certain
intriguing determinantal formula conjectured by the first author. We conclude
with a postscript describing yet another, much more efficient, method for
evaluating determinants: `ask determinant-guru, Christian Krattenthaler', but
advise people only to use it as a last resort, since if we would have used this
last method right away, we would not have had the fun of doing it all by
ourselves.Comment: 15 pages; 2 new sections added beyond the first version; dedicated to
Christian Krattenthaler on his 65th birthday; this paper appeared (in a
revised form) in the journal, SLC (S\'eminaire Lotharingien de Combinatoire),
under a new title "A case study in determinant evaluations"; {\tt
https://www.mat.univie.ac.at/~slc/wpapers/s89amdkozeil.pdf
Recommended from our members
Risk assessment for indeterminate pulmonary nodules using a novel, plasma-protein based biomarker assay
No full textBACKGROUND: The increase in lung cancer screening is intensifying the need for a noninvasive test to characterize the many indeterminate pulmonary nodules (IPN) discovered. Correctly identifying non-cancerous nodules is needed to reduce overdiagnosis and overtreatment. Alternatively, early identification of malignant nodules may represent a potentially curable form of lung cancer.
OBJECTIVE: To develop and validate a plasma-based multiplexed protein assay for classifying IPN by discriminating between those with a lung cancer diagnosis established pathologically and those found to be clinically and radiographically stable for at least one year.
METHODS: Using a novel technology, we developed assays for plasma proteins associated with lung cancer into a panel for characterizing the risk that an IPN found on chest imaging is malignant. The assay panel was evaluated with a cohort of 277 samples, all from current smokers with an IPN 4-30 mm. Subjects were divided into training and test sets to identify a Support Vector Machine (SVM) model for risk classification containing those proteins and clinical factors that added discriminatory information to the Veteran's Affairs (VA) Clinical Factors Model. The algorithm was then evaluated in an independent validation cohort.
RESULTS: Among the 97 validation study subjects, 68 were grouped as having intermediate risk by the VA model of which the SVM model correctly identified 44 (65%) of these intermediate-risk samples as low (n=16) or high risk (n=28). The SVM model negative predictive value (NPV) was 94% and its sensitivity was 94%.
CONCLUSION: The performance of the novel plasma protein biomarker assay supports its use as a noninvasive risk assessment aid for characterizing IPN. The high NPV of the SVM model suggests its application as a rule-out test to increase the confidence of providers to avoid aggressive interventions for their patients for whom the VA model result is an inconclusive, intermediate risk
Risk assessment for indeterminate pulmonary nodules using a novel, plasma-protein based biomarker assay
No full textStandardized Measures of Coastal Wetland Condition: Implementation at a Laurentian Great Lakes Basin-Wide Scale
No full textReceived: 28 October 2014 /Accepted: 27 September 2016 /Published online: 10 October 2016 # The Author(s) 2016. This article is published with open access at Springerlink.comSince European settlement, over 50% of coastal wetlands have been lost in the Laurentian Great Lakes basin, causing growing concern and increased monitoring by government agencies. For over a decade, monitoring efforts have focused on the development of regional and organism-specific measures. To facilitate collaboration and information sharing between public, private, and government agencies throughout the Great Lakes basin, we developed standardized methods and indicators used for assessing wetland condition. Using an ecosystem approach and a stratified random site selection process, birds, anurans, fish, macroinvertebrates, vegetation, and physico-chemical conditions were sampled in coastal wetlands of all five Great Lakes including sites from the United States and Canada. Our primary objective was to implement a standardized basin-wide coastal wetland monitoring program that would be a powerful tool to inform decision-makers on coastal wetland conservation and restoration priorities throughout the Great Lakes basin.SUNY BrockportEnvironmental Science and Ecology Faculty Publication
Open Access Bibliography: Liberating Scholarly Literature with E-Prints and Open Access Journals
No full textThe Open Access Bibliography: Liberating Scholarly Literature with E-Prints and Open Access Journals provides an overview of open access concepts, and it presents over 1,300 selected English-language books, conference papers (including some digital video presentations), debates, editorials, e-prints, journal and magazine articles, news articles, technical reports, and other printed and electronic sources that are useful in understanding the open access movement's efforts to provide free access to and unfettered use of scholarly literature. Most sources have been published between 1999 and August 31, 2004; however, a limited number of key sources published prior to 1999 are also included. Where possible, links are provided to sources that are freely available on the Internet (approximately 78 percent of the bibliography's references have such links). The 129-page bibliography has been published in print and PDF formats by the Association of Research Libraries (ARL). The print version is available from ARL. The book is licensed under the Creative Commons Attribution-NonCommercial License
