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Author : Lynn Marecek,MaryAnne Anthony-Smith,Andrea Honeycutt Mathis
Publisher : Unknown
Page : 128 pages
File Size : 41,7 Mb
Release : 2020-05-06
Category : Electronic
ISBN : 1951693841
Author : A. Neumaier
Publisher : Cambridge University Press
Page : 275 pages
File Size : 54,9 Mb
Release : 1990
Category : Mathematics
ISBN : 9780521331968
Mathematics of Computing -- Numerical Analysis.
Author : Lynn Marecek,OpenStax,MaryAnne Anthony-Smith
Publisher : Unknown
Page : 1310 pages
File Size : 40,7 Mb
Release : 2017-02-22
Category : Algebra
ISBN : 099862571X
"Elementary Algebra is designed to meet the scope and sequence requirements of a one-semester elementary algebra course. The book's organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics."--Open Textbook Library.
Author : Maria H. Andersen
Publisher : Cengage Learning
Page : 0 pages
File Size : 55,6 Mb
Release : 2010-01-05
Category : Algebra
ISBN : 0538493607
Author : Jay P. Abramson,Valeree Falduto,Rachael Gross (Mathematics teacher),David Lippman,Rick Norwood,Melonie Rasmussen,Nicholas Belloit,Jean-Marie Magnier,Harold Whipple,Christina Fernandez
Publisher : Unknown
Page : 1564 pages
File Size : 53,9 Mb
Release : 2015-02-13
Category : Algebra
ISBN : 1938168372
"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.
Author : Kenneth Kuttler,Ilijas Farah
Publisher : Unknown
Page : 586 pages
File Size : 50,8 Mb
Release : 2020
Category : Algebras, Linear
ISBN : OCLC:1252786692
"A First Course in Linear Algebra, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course for the general students who have an understanding of basic high school algebra and intend to be users of linear algebra methods in their profession, from business & economics to science students. All major topics of linear algebra are available in detail, as well as justifications of important results. In addition, connections to topics covered in advanced courses are introduced. The textbook is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile. Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the textbook."--BCcampus website.
Author : Werner C. Rheinboldt
Publisher : SIAM
Page : 157 pages
File Size : 51,7 Mb
Release : 1998-01-01
Category : Mathematics
ISBN : 1611970016
This second edition provides much-needed updates to the original volume. Like the first edition, it emphasizes the ideas behind the algorithms as well as their theoretical foundations and properties, rather than focusing strictly on computational details; at the same time, this new version is now largely self-contained and includes essential proofs. Additions have been made to almost every chapter, including an introduction to the theory of inexact Newton methods, a basic theory of continuation methods in the setting of differentiable manifolds, and an expanded discussion of minimization methods. New information on parametrized equations and continuation incorporates research since the first edition.
Author : Jay Abramson
Publisher : Unknown
Page : 892 pages
File Size : 45,6 Mb
Release : 2018-01-07
Category : Mathematics
ISBN : 9888407430
College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory
Author : Eugene L. Allgower,Kurt Georg
Publisher : American Mathematical Soc.
Page : 788 pages
File Size : 45,7 Mb
Release : 1990-04-03
Category : Mathematics
ISBN : 0821896946
Nonlinear equations arise in essentially every branch of modern science, engineering, and mathematics. However, in only a very few special cases is it possible to obtain useful solutions to nonlinear equations via analytical calculations. As a result, many scientists resort to computational methods. This book contains the proceedings of the Joint AMS-SIAM Summer Seminar, ``Computational Solution of Nonlinear Systems of Equations,'' held in July 1988 at Colorado State University. The aim of the book is to give a wide-ranging survey of essentially all of the methods which comprise currently active areas of research in the computational solution of systems of nonlinear equations. A number of ``entry-level'' survey papers were solicited, and a series of test problems has been collected in an appendix. Most of the articles are accessible to students who have had a course in numerical analysis.
Author : Lorenzo Robbiano
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 52,5 Mb
Release : 2011-05-09
Category : Mathematics
ISBN : 9788847018396
This book provides students with the rudiments of Linear Algebra, a fundamental subject for students in all areas of science and technology. The book would also be good for statistics students studying linear algebra. It is the translation of a successful textbook currently being used in Italy. The author is a mathematician sensitive to the needs of a general audience. In addition to introducing fundamental ideas in Linear Algebra through a wide variety of interesting examples, the book also discusses topics not usually covered in an elementary text (e.g. the "cost" of operations, generalized inverses, approximate solutions). The challenge is to show why the "everyone" in the title can find Linear Algebra useful and easy to learn. The translation has been prepared by a native English speaking mathematician, Professor Anthony V. Geramita.
Author : A. M. Ostrowski
Publisher : Elsevier
Page : 353 pages
File Size : 50,9 Mb
Release : 2016-06-03
Category : Mathematics
ISBN : 9781483223643
Solution of Equations and Systems of Equations, Second Edition deals with the Laguerre iteration, interpolating polynomials, method of steepest descent, and the theory of divided differences. The book reviews the formula for confluent divided differences, Newton's interpolation formula, general interpolation problems, and the triangular schemes for computing divided differences. The text explains the method of False Position (Regula Falsi) and cites examples of computation using the Regula Falsi. The book discusses iterations by monotonic iterating functions and analyzes the connection of the Regula Falsi with the theory of iteration. The text also explains the idea of the Newton-Raphson method and compares it with the Regula Falsi. The book also cites asymptotic behavior of errors in the Regula Falsi iteration, as well as the theorem on the error of the Taylor approximation to the root. The method of steepest descent or gradient method proposed by Cauchy ensures "global convergence" in very general conditions. This book is suitable for mathematicians, students, and professor of calculus, and advanced mathematics.
Author : Gabriele Ciaramella,Martin J. Gander
Publisher : SIAM
Page : 285 pages
File Size : 42,7 Mb
Release : 2022-02-08
Category : Mathematics
ISBN : 9781611976908
Iterative methods use successive approximations to obtain more accurate solutions. This book gives an introduction to iterative methods and preconditioning for solving discretized elliptic partial differential equations and optimal control problems governed by the Laplace equation, for which the use of matrix-free procedures is crucial. All methods are explained and analyzed starting from the historical ideas of the inventors, which are often quoted from their seminal works. Iterative Methods and Preconditioners for Systems of Linear Equations grew out of a set of lecture notes that were improved and enriched over time, resulting in a clear focus for the teaching methodology, which derives complete convergence estimates for all methods, illustrates and provides MATLAB codes for all methods, and studies and tests all preconditioners first as stationary iterative solvers. This textbook is appropriate for undergraduate and graduate students who want an overview or deeper understanding of iterative methods. Its focus on both analysis and numerical experiments allows the material to be taught with very little preparation, since all the arguments are self-contained, and makes it appropriate for self-study as well. It can be used in courses on iterative methods, Krylov methods and preconditioners, and numerical optimal control. Scientists and engineers interested in new topics and applications will also find the text useful.
Author : Johnny Henderson,Rodica Luca
Publisher : Academic Press
Page : 322 pages
File Size : 41,8 Mb
Release : 2015-10-30
Category : Mathematics
ISBN : 9780128036792
Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions discusses the concept of a differential equation that brings together a set of additional constraints called the boundary conditions. As boundary value problems arise in several branches of math given the fact that any physical differential equation will have them, this book will provide a timely presentation on the topic. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems. To be useful in applications, a boundary value problem should be well posed. This means that given the input to the problem there exists a unique solution, which depends continuously on the input. Much theoretical work in the field of partial differential equations is devoted to proving that boundary value problems arising from scientific and engineering applications are in fact well-posed. Explains the systems of second order and higher orders differential equations with integral and multi-point boundary conditions Discusses second order difference equations with multi-point boundary conditions Introduces Riemann-Liouville fractional differential equations with uncoupled and coupled integral boundary conditions
Author : Chris McMullen
Publisher : Zishka Publishing
Page : 184 pages
File Size : 42,7 Mb
Release : 2015-08-05
Category : Electronic
ISBN : 1941691048
CONTENTS: This algebra 2 workbook is devoted to solving systems of equations. Specifically, it helps to develop fluency with the following algebra skills: solving two equations with two unknowns (x and y) solving three equations with three unknowns (x, y, and z) the method of substitution simultaneous equations (setting up equal and opposite coefficients) 2x2 and 3x3 determinants Cramer's rule for systems of equations AUTHOR: Chris McMullen earned his Ph.D. in physics from Oklahoma State University and currently teaches physics at Northwestern State University of Louisiana. He developed the Improve Your Math Fluency series of workbooks to help students become more fluent in basic math skills. EXAMPLES: Each section begins with a concise description of the main concepts, an outline of the strategy, and an example with explanations. The examples should serve as a useful guide until students are able to solve the problems independently. ANSWERS: Answers to 100% of the exercises are tabulated at the back of the book. This helps students develop confidence and ensures that students practice correct techniques, rather than practice making mistakes. PRACTICE: With no pictures, this workbook is geared strictly toward learning the material and developing fluency through practice. PHOTOCOPIES: The copyright notice permits parents/teachers who purchase one copy or borrow one copy from a library to make photocopies for their own children/students only. This is very convenient if you have multiple children/students or if a child/student needs additional practice.
Author : Paul A. Calter,Michael A. Calter
Publisher : John Wiley & Sons
Page : 836 pages
File Size : 46,8 Mb
Release : 2011-03-22
Category : Mathematics
ISBN : 9780470534922
This textbook has been in constant use since 1980, and this edition represents the first major revision of this text since the second edition. It was time to select, make hard choices of material, polish, refine, and fill in where needed. Much has been rewritten to be even cleaner and clearer, new features have been introduced, and some peripheral topics have been removed. The authors continue to provide real-world, technical applications that promote intuitive reader learning. Numerous fully worked examples and boxed and numbered formulas give students the essential practice they need to learn mathematics. Computer projects are given when appropriate, including BASIC, spreadsheets, computer algebra systems, and computer-assisted drafting. The graphing calculator has been fully integrated and calculator screens are given to introduce computations. Everything the technical student may need is included, with the emphasis always on clarity and practical applications.