MERLOT Materials
https://www.merlot.org/
MERLOT MaterialsCopyright (C) 2018 MERLOT Some Rights ReservedTue, 27 Mar 2018 14:58:38 GMTMERLOThttps://www.merlot.org/merlot/images/merlot_column.png
https://www.merlot.org/
-1-1Rice Virtual Lab in Statistics
https://www.merlot.org/merlot/viewMaterial.htm?id=79148
<p>Online statistics open textbook and additional resources to assist students in understanding of statistics. Topics covered include Analysis of Variance, Boxplot, Confidence interval, Contrast among means, Correlated t-test, Correlation, Histogram, Independent groups t-test, Regression, Repeated measures ANOVA, and t-test. <br />The applets in the simulations, demonstrations, an d caste studiesare in the public domain and can therefore be used without restriction. Simulations and demonstrations and source code are available for download. </p>Sun, 06 Apr 2003 08:00:00 GMTDavid Lane Rice UniversityMathematical Marketing
https://www.merlot.org/merlot/viewMaterial.htm?id=511418
<p>According to The Orange Grove, "Mαthematical Mαrketing is a flexible textbook for use in quantitative PhD courses in marketing. This book attempts to create a text designed to allow students to follow the mathematical reasoning used in Marketing Science, Journal of Marketing Research and other quantitatively oriented journals. As such, it does not hide the mathematics, but it does not assume that the student already has an extensive background in mathematics. The work can be used whole or in modules. Modules can be used as is or integrated into other class materials, books or other electronic output."</p>Wed, 05 Jan 2011 22:21:25 GMTCharles F. Hofacker Florida State UniversityWarehouse & Distribution Science
https://www.merlot.org/merlot/viewMaterial.htm?id=562853
<p>"The focus of this book is the science of how to design, operate and manage warehouse facilities. The authors emphasize the building of detailed mathematical and computer models that capture the economics of the management of space and labor. The goal of this approach is to give managers and engineers the tools to make their operations successful."</p><p> </p>Tue, 28 Jun 2011 22:48:43 GMTJohn Bartholdi; Steven Hackman Georgia Tech; Georgia TechDimensions (geometry)
https://www.merlot.org/merlot/viewMaterial.htm?id=350912
<p>This is a free, online textbook that provides information on dimensions, from longtitude and latitude to the proof of a theorem of geometry. There are 9 chapters, each 13 minutes long. The book contains a total of 117 minutes of video, but can also be read as an ordinary textbook.</p><p>The film can be enjoyed by anyone, provided the chapters are well-chosen. There are 9 chapters, each 13 minutes long. Chapters 3-4, 5-6 and 7-8 are double chapters, but apart from that, they are more or less independent of each other.</p>Mon, 17 Nov 2008 19:53:36 GMTMultiple others in credits http://www.dimensions-math.org/Dim_merci_E.htm; Étienne Ghys; Jos Leys; Aurélien Alvarez Multiple international sponsorsA First Course in Linear Algebra
https://www.merlot.org/merlot/viewMaterial.htm?id=76448
<p style="margin-top: 0.49cm; margin-bottom: 0.49cm; line-height: 100%;"><span style="color: #00000a;"><span style="font-family: 'arial' , serif;">This text, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course in linear algebra for science and engineering students who have an understanding of basic algebra.</span></span></p>
<p style="margin-top: 0.49cm; margin-bottom: 0.49cm; line-height: 100%;"><span style="color: #00000a;"><span style="font-family: 'arial' , serif;">All major topics of linear algebra are available in detail, as well as proofs of important theorems. In addition, connections to topics covered in advanced courses are introduced. The text is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile.</span></span></p>
<p style="margin-top: 0.49cm; margin-bottom: 0.49cm; line-height: 100%;"><span style="color: #00000a;"><span style="font-family: 'arial' , serif;">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 text.</span></span></p>
<p style="margin-bottom: 0cm; line-height: 100%;"><span style="color: #00000a;">Lyryx develops and supports open texts, with editorial services to adapt the text for each particular course. In addition, Lyryx provides</span><span style="color: #00000a;">content-specific formative online assessment, a wide variety of supplements, and in-house support available 7 days/week for both students and instructors.</span></p>Thu, 07 Mar 2002 08:00:00 GMTK. Kuttler, Adapted by Lyryx Learning Lyryx LearningAlgebra
https://www.merlot.org/merlot/viewMaterial.htm?id=813968
<p>'The Boundless Algebra textbook is a college-level, introductory textbook that covers the important subject of Algebra -- one of the basic building blocks of studies in higher mathematics. Boundless works with subject matter experts to select the best open educational resources available on the web, review the content for quality, and create introductory, college-level textbooks designed to meet the study needs of university students.</p>
<p><br />This textbook covers:<br /><br /><strong>The Building Blocks of Algebra</strong> -- Real Numbers, Exponents, Scientific Notation, Order of Operations, Working with Polynomials, Factoring, Rational Expressions, Radical Notation and Exponents, Basics of Equation Solving<br /><br /><strong>Graphs, Functions, and Models</strong> -- Graphing, Functions: An Introduction, Modeling Equations of Lines, Functions Revisited, Algebra of Functions, Transformations<br /><br /><strong>Functions, Equations, and Inequalities</strong> -- Linear Equations and Functions, Complex Numbers, Quadratic Equations, Functions, and Applications, Graphs of Quadratic Functions, Further Equation Solving, Working with Linear Inequalities<br /><br /><strong>Polynomial and Rational Functions</strong> -- Polynomial Functions and Models, Graphing Polynomial Functions, Polynomial Division; The Remainder and Factor Theorems, Zeroes of Polynomial Functions and Their Theorems, Rational Functions, Inequalities, Variation and Problem Solving<br /><br /><strong>Exponents and Logarithms</strong> -- Inverse Functions, Graphing Exponential Functions, Graphing Logarithmic Functions, Properties of Logarithmic Functions, Growth and Decay; Compound Interest<br /><br /><strong>Systems of Equations and Matrices</strong> -- Systems of Equations in Two Variables, Systems of Equations in Three Variables, Matrices, Matrix Operations, Inverses of Matrices, Determinants and Cramer's Rule, Systems of Inequalities and Linear Programming, Partial Fractions<br /><br /><strong>Conic Sections</strong> -- The Parabola, The Circle and the Ellipse, The Hyperbola, Nonlinear Systems of Equations and Inequalities<br /><br /><strong>Sequences, Series and Combinatorics</strong> -- Sequences and Series, Arithmetic Sequences and Series, Geometric Sequences and Series, Mathematical Inductions, Combinatorics, The Binomial Theorem, Probability'</p>Wed, 20 Nov 2013 18:04:24 GMTBoundlessChemistry
https://www.merlot.org/merlot/viewMaterial.htm?id=556083
<p>"This collection is a full course of material in the form of a textbook. The textbook is provided by FHSST (Free High School Science Texts). FHSST is a project that aims to provide free science and mathematics textbooks for Grades 10 to 12 science learners. The project was initiated by young South African scientists, and now brings together scientists from around the world who are willing to contribute to the writing of the books.</p><p>This FHSST Chemistry textbook contains a total of 23 chapters to be used in grades 10 through 12. At the end of this description is a complete Table of Contents.</p><p>In this collection, you will find folders for each of the main sections (Matter and Materials, Chemical Change, and Chemical Systems). These folders include content across all three grade levels, G10, G11, G12."</p><p> </p>Fri, 10 Jun 2011 02:07:23 GMTVarious Free High School Science TextsCourse of Linear Algebra and Multidimensional Geometry
https://www.merlot.org/merlot/viewMaterial.htm?id=447773
<p>This is a free, online textbook that can be downloaded as a pdf file. According to the site, "This is a textbook for the course of multidimensional geometry and linear algebra. This course is a part of the basic mathematical education. Therefore, it is taught at Physical and Mathematical Departments in all Universities of Russia during one or two semesters."</p>Tue, 27 Apr 2010 19:42:26 GMTRuslan SharipovExcel 2010 Introduction: Part I - Formulas, Functions and Formatting
https://www.merlot.org/merlot/viewMaterial.htm?id=716694
<p>This is a free textbook by BookBoon</p><p>'</p><p>Excel 2010 is a powerful spreadsheet application that allows users to produce tables containing calculations and graphs. These can range from simple formulas through to complex functions and mathematical models.</p><p>After reading this ebook you will be able to understand the differences between Excel 2010 formulas and functions. Further you will learn how to use simple functions and formulas, like addition, subtraction and multiplications.</p><p>Having produced a spreadsheet, it may be formatted to achieve a more professional and more easily readable layout of data for both screen display and printout. There are several different ways of formatting data in Excel 2010 to produce extremely impressive effects. You will learn more about Excel 2010 formatting in the final section of this ebook.'</p><p> </p>Tue, 11 Dec 2012 16:43:34 GMTStephen Moffat The Mouse Training CompanyIntroduction to Chemical Engineering Processes
https://www.merlot.org/merlot/viewMaterial.htm?id=438796
<p>This is a free, online textbook, so it is continually being updated and refined. According to the authors, "This book is for anyone who is interested in some of the basic principles behind what chemical engineers do and how they can use powerful tools from physics to solve problems involving steady-state processes. It starts with a knowledge of algebra, chemistry, and some physics, and builds on current knowledge towards more practical problems. The ultimate goal is to obtain a book containing information about all of the major processes a chemical engineer may encounter as well as some insight into their analysis, which is essential for design. The book is designed as an introduction to the subject and therefore tends to stay away from the more complicated mathematics, as the relatively steady-state black box analysis can be difficult enough for students (and teachers!) to solve."</p>Mon, 15 Mar 2010 22:00:37 GMTVarious Authors WikiBooksMathematical Reasoning: Writing and Proof
https://www.merlot.org/merlot/viewMaterial.htm?id=800960
<p>'Mathematical Reasoning: Writing and Proof is designed to be a text for the ﬁrst course in the college mathematics curriculum that introduces students to the pro-cesses of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are as follows:</p><p>To help students learn how to read and understand mathematical deﬁnitions and proofs;</p><p>To help students learn how to construct mathematical proofs;</p><p>To help students learn how to write mathematical proofs according to ac-cepted guidelines so that their work and reasoning can be understood by others; and</p><p>To provide students with material that will be needed for their further study of mathematics.'</p>Mon, 14 Oct 2013 22:21:09 GMTTed Sundstrom Grand Valley State UniversityPharmacokinetics
https://www.merlot.org/merlot/viewMaterial.htm?id=1236128
<p>This is a free textbook offered by BookBoon.</p>
<p>All the basic concepts of pharmacokinetics (PKs) are described, with an emphasis on understanding what parameters such as bioavailability, volume of distribution and clearance tell us about the behaviour of a particular drug. The use of PKs in both a drug development and a clinical setting are covered. The essential mathematical basis of PKs is explained, but excessive mathematical complexity is avoided. For all key equations, practical examples of their use are provided. There are plenty of practice questions (along with model answers). Additional spreadsheets are provided on the net.</p>Tue, 04 Oct 2016 22:24:04 GMTPhil RoweA Gentle Introduction to the Art of Mathematics
https://www.merlot.org/merlot/viewMaterial.htm?id=800958
<p>'This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable.</p><p>It is written in an informal, conversational style with a large number of interesting examples and exercises, so that a student learns to write proofs while working on engaging problems.'</p>Mon, 14 Oct 2013 22:13:53 GMTJoseph E. FieldsAccession to the WTO: Part I - Computable General Equilibrium Analysis: The Case of Ukraine
https://www.merlot.org/merlot/viewMaterial.htm?id=644878
<p>This research studies the accession of a transition country to the World Trade Organization on the case of Ukraine. Quantitative results are obtained by building a Computable General Equilibrium model in the mathematical programming language General Algebraic Modelling System (GAMS). Four scenarios are simulated: 1) import tariffs reform; 2) improvement of exports access; 3) improvement of investment climate and 4) the scenario that combines previous three, or a full WTO accession.</p><p>This book has two parts. The first part talks about general characteristics of the World Trade Organisation (WTO) as well as common steps that have to be taken during the accession process. Theoretical studies related to the WTO activities are also presented. Finally, Part I of this book discusses one of the most useful methods of examining economic consequences of being WTO member, namely Computable General Equilibrium (CGE) Models. Part II continues analysis and shows application of CGE model to a specific case study. It scrutinises accession of Ukraine to the WTO and discusses possible economic impact of such step. Concluding remarks for the whole book are given at the end of Part II.</p>Wed, 04 Apr 2012 15:16:34 GMTIgor Eromenko BookBoon.comActive Calculus
https://www.merlot.org/merlot/viewMaterial.htm?id=1084071
<p>c'Several fundamental ideas in calculus are more than 2000 years old. As a formal subdiscipline of mathematics, calculus was first introduced and developed in the late 1600s, with key independent contributions from Sir Isaac Newton and Gottfried Wilhelm Leibniz. Mathematicians agree that the subject has been understood rigorously since the work of Augustin Louis Cauchy and Karl Weierstrass in the mid 1800s when the field of modern analysis was developed, in part to make sense of the infinitely small quantities on which calculus rests. Hence, as a body of knowledge calculus has been completely understood by experts for at least 150 years. The discipline is one of our great human intellectual achievements: among many spectacular ideas, calculus models how objects fall under the forces of gravity and wind resistance, explains how to compute areas and volumes of interesting shapes, enables us to work rigorously with infinitely small and infinitely large quantities, and connects the varying rates at which quantities change to the total change in the quantities themselves.</p>
<p>While each author of a calculus textbook certainly offers her own creative perspective on the subject, it is hardly the case that many of the ideas she presents are new. Indeed, the mathematics community broadly agrees on what the main ideas of calculus are, as well as their justification and their importance; the core parts of nearly all calculus textbooks are very similar. As such, it is our opinion that in the 21st century – an age where the internet permits seamless and immediate transmission of information – no one should be required to purchase a calculus text to read, to use for a class, or to find a coherent collection of problems to solve. Calculus belongs to humankind, not any individual author or publishing company. Thus, a main purpose of this work is to present a new calculus text that is free. In addition, instructors who are looking for a calculus text should have the opportunity to download the source files and make modifications that they see fit; thus this text is opensource. Since August 2013, Active Calculus has been endorsed by the American Institute of Mathematics and its Open Textbook Initiative: <a href="http://aimath.org/textbooks/.'" target="_blank" rel="nofollow">http://aimath.org/textbooks/.'</a></p>Mon, 30 Nov 2015 21:57:26 GMTMatthew Boelkins; David Austin; Steven Schlicker Grand Valley State University; Grand Valley State University; Grand Valley State UniversityAdvanced Problems in Mathematics: Preparing for University
https://www.merlot.org/merlot/viewMaterial.htm?id=1330065
<p>This book is intended to help students prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Papers). STEP examinations are used by Cambridge colleges as the basis for conditional offers in mathematics and sometimes in other mathematics-related subjects. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on past papers to become accustomed to university-style mathematics.</p>
<p>Advanced Problems in Mathematics is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions. Each question is followed by a comment and a full solution. The comments direct the reader’s attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently.</p>
<p>This book is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in advanced mathematics.</p>
<p>Please note that in this book the mathematical formulas are encoded in MathML. While reading the HTML version, you can right-click on any of the formulas to display the underlying code.</p>Tue, 12 Sep 2017 17:02:01 GMTAnalysis and Linear Algebra for Finance: Part I
https://www.merlot.org/merlot/viewMaterial.htm?id=907911
<p>This is a free textbook offered by BookBoon.</p>
<p>'This book and its companion (part II) present the elements of analysis and linear algebra used in financial models and in microeconomics. Functions of one and several variables and matrices are developed in part I and vector spaces, linear mappings and optimization methods are developed in part II. Instead of formal proofs as in mathematical books, we develop examples and economic illustrations of the use of the concepts presented in the book. The books complement “Probability in Finance” and “Stochastic Processes in Finance” providing a broad overview of the mathematics of financial models.'</p>Tue, 11 Nov 2014 13:59:51 GMTPatrick Roger University of StrasbourgBeyond Lean: Simulation in Practice
https://www.merlot.org/merlot/viewMaterial.htm?id=1212193
<p>This book discusses how, in a practical way, to overcome the limitations of the lean approach to transforming manufacturing systems as well as related in-plant, plant-to-plant, and plant-tocustomer logistics. The primary tools in this regard are algebra based mathematical models and computer-based systems simulation as well as the integration of these two. Concepts, methods, and application studies related to designing and operating such systems are presented. Emphasis is on learning how to effectively make design, planning, and operations decisions by using a model based analysis and synthesis process. This process places equal emphasis on building models and performing analyses. This first part of the book discusses this process as well as the methods required for performing each of its steps.</p>
<p>The beyond lean approach is introduced in chapter 1 and illustrated with an industrial application. One proven process for performing a beyond lean study is presented. Some principles that guide such studies are discussed.</p>
<p>Methods are considered in chapters 2 through 5: model building, the computations needed to simulate a model and experimentation with models as well as modeling time delays and other random quantities. The basic logic used in simulation models is discussed. A process by which a distribution function can be selected to represent a random quantity, in the presence or absence of data, is given. An overview of the internal operations of a simulation engine is presented.</p>Wed, 03 Aug 2016 18:45:58 GMTCharles Standridge Grand Valley State UniversityChemWiki: The Dynamic Chemistry E-textbook
https://www.merlot.org/merlot/viewMaterial.htm?id=989068
<p>The ChemWiki is a collaborative approach toward chemistry education where an Open Access textbook environment is constantly being written and re-written by students and faculty members resulting in a free Chemistry textbook to supplant conventional paper-based books. The development of the ChemWiki is currently directed by UC Davis Professor <a class="external" title="http://LarsenLab.ucdavis.edu" href="http://larsenlab.ucdavis.edu/" target="_blank" rel="external nofollow">Delmar Larsen</a>.</p>
<p>The ChemWiki is a principal hub of the UC Davis STEMWiki Hyperlibrary, which is a multi-institutional collaborative venture to develop the next generation of open-access E-texts to improve STEM education (Science, Technology, Engineering, and Mathematics) at all levels of higher learning. Other STEMWikis include the <a title="http://BioWiki.ucdavis.edu" href="http://biowiki.ucdavis.edu/" target="_blank" rel="external nofollow">BioWiki</a>, the <a title="http://GeoWiki.ucdavis.edu" href="http://geowiki.ucdavis.edu/" target="_blank" rel="external nofollow">GeoWiki</a>, the<a title="http://StatWiki.ucdavis.edu" href="http://statwiki.ucdavis.edu/" target="_blank" rel="external nofollow">StatWiki</a>, the <a title="http://PhysWiki.ucdavis.edu" href="http://physwiki.ucdavis.edu/" target="_blank" rel="external nofollow">PhysWiki</a> and the <a title="http://MathWiki.ucdavis.edu" href="http://mathwiki.ucdavis.edu/" target="_blank" rel="external nofollow">MathWiki</a>.</p>Tue, 17 Feb 2015 17:36:53 GMTUC DavisCombinatorics Through Guided Discovery
https://www.merlot.org/merlot/viewMaterial.htm?id=800962
<p>'This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as “counting.” The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you ﬁgure out a concept and state a theorem about it, while still others ask you to prove the theorem. Other problems give you a chance to use a theorem you have proved. From time to time there is a discussion that pulls together some of the things you have learned or introduces a new idea for you to work with. Many of the problems are designed to build up your intuition for how combinatorial mathematics works. There are problems that some people will solve quickly, and there are problems that will take days of thought for everyone. Probably the best way to use this book is to work on a problem until you feel you are not making progress and then go on to the next one. Think about the problem you couldn’t get as you do other things. The next chance you get, discuss the problem you are stymied on with other members of the class. Often you will all feel you’ve hit dead ends, but when you begin comparing notes and listening carefully to each other, you will see more than one approach to the problem and be able to make some progress.</p><p>In fact, after comparing notes you may realize that there is more than one way to interpret the problem. In this case your ﬁrst step should be to think together about what the problem is actually asking you to do. You may have learned in school that for every problem you are given, there is a method that has already been taught to you, and you are supposed to ﬁgure out which method applies and apply it. That is not the case here. Based on some simpliﬁed examples, you will discover the method for yourself. Later on, you may recognize a pattern that suggests you should try to use this method again.'</p>Mon, 14 Oct 2013 22:29:33 GMTKenneth P. Bogart Dartmouth UniversityDrug-Acceptor Interactions
https://www.merlot.org/merlot/viewMaterial.htm?id=442537
<p>According to the author, "The book is intended as a help for students and researchers in the biomedical fields, enabling them to choose the best model for their dose-response data obtained from wet-lab experiments. The focus is on how to interpret and handle dose-response data, with a recommendation to down-play analytical methods developed before the era of personal computers, such as the Lineweaver–Burk and Scatchard data conversion, the null-methods by Gaddum and Schild, or the use of meaningless mathematical manipulations, as for instance the implementation of a Hill-exponentiation. Instead, when fishing for system constants, the readers learn how to get access to the free-way of analytical tools that offer forward formulated physical functions to be fixed with non-linear fitting procedures. The approach I have taken is different from that of many other textbooks on the analysis of equilibrium dose-responses, which follow in the tradition of data-linearization developed more than 70 years ago. A book in point is Segel's ‘Enzyme kinetics’ (1975), reissued as a non-revised edition in 1993 and still considered a standard textbook on enzyme kinetics: it lacks almost completely in analysis of the so-called two-state models."</p>Fri, 02 Apr 2010 20:27:24 GMTNiels BindslevElementary Differential Equations with Boundary Value Problems
https://www.merlot.org/merlot/viewMaterial.htm?id=1374821
<p><em>Elementary Differential Equations with Boundary Value Problems</em>is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation.</p>
<ul>
<li>An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student’s place, and have chosen to err on the side of too much detail rather than not enough. </li>
<li>An elementary text can’t be better than its exercises. This text includes 1695 numbered exercises, many with several parts. They range in difficulty from routine to very challenging. </li>
<li>An elementary text should be written in an informal but mathematically accurate way, illustrated by appropriate graphics. I have tried to formulate mathematical concepts succinctly in language that students can understand. I have minimized the number of explicitly stated theorems and definitions, preferring to deal with concepts in a more conversational way, copiously illustrated by 250 completely worked out examples. Where appropriate, concepts and results are depicted in 144 figures.</li>
</ul>
<p>Although I believe that the computer is an immensely valuable tool for learning, doing, and writing mathematics, the selection and treatment of topics in this text reflects my pedagogical orientation along traditional lines. However, I have incorporated what I believe to be the best use of modern technology, so you can select the level of technology that you want to include in your course. The text includes 336 exercises – identified by the symbols C and C/G – that call for graphics or computation and graphics. There are also 73 laboratory exercises – identified by L – that require extensive use of technology. In addition, several sections include informal advice on the use of technology. If you prefer not to emphasize technology, simply ignore these exercises and the advice.</p>Tue, 27 Mar 2018 14:58:38 GMTWilliam F. Trench Trinity UniversityElliptic Boundary Value Problemsin Domains with Point Singularities
https://www.merlot.org/merlot/viewMaterial.htm?id=448162
<p>This is a free, online book that was originally published in 1997. The book has the following chapters:</p><p>Part 1: Elliptic Boundary Value Problems in Domains with Smooth Boundary * Chapter 1. Boundary value problems for ordinary differential equations on the half-axis * Chapter 2. Elliptic boundary value problems in the half-space * Chapter 3. Elliptic boundary value problems in smooth domains * Chapter 4. Variants and extensions</p><p>Part 2: Elliptic Problems in Domains with Conical Points * Chapter 5. Elliptic boundary value problems in an infinite cylinder * Chapter 6. Elliptic boundary value problems in domains with conical points * Chapter 7. Elliptic boundary value problems in weighted Sobolev spaces with nonhomogeneous norms * Chapter 8. Variants and extensions</p><p>Part 3. Elliptic Problems in Domains with Cuspidal Points * Chapter 9. Elliptic boundary value problems in domains with exterior cusps * Chapter 10. Elliptic boundary value problems in domains with inside cusps</p><p>ISBN 0-8218-3377-4 <br /> SURV/52.E</p>Thu, 29 Apr 2010 16:54:03 GMTJ. Rossmann; V.A. Kozlov; V.G. Maz'ya American Mathematical Society; American Mathematical Society; American Mathematical SocietyEssential Engineering Mathematics
https://www.merlot.org/merlot/viewMaterial.htm?id=583936
<p>This is a free textbook offered by BookBoon.</p>
<p>According to the author, "It is by no means a comprehensive guide to all the mathematics an engineer might encounter during the course of his or her degree. The aim is more to highlight and explain some areas commonly found difficult, such as calculus, and to ease the transition from school level to university level mathematics, where sometimes the subject matter is similar, but the emphasis is usually different. The early sections on functions and single variable calculus are in this spirit. The later sections on multivariate calculus, differential equations and complex functions are more typically found on a first or second year undergraduate course, depending upon the university. The necessary linear algebra for multivariate calculus is also outlined. More advanced topics which have been omitted, but which you will certainly come across, are partial differential equations, Fourier transforms and Laplace transforms."</p>Wed, 21 Sep 2011 20:50:34 GMTMichael Batty BookBoon.com