Numerical Linear Algebra: A Concise Introduction with MATLAB and Julia
Title: Numerical Linear Algebra: A Concise Introduction with MATLAB and Julia | Author(s): Folkmar Bornemann, Walter Simson | Publisher: Springer | Year: 2018 | Edition: 1st | Language: English | Pages : 153 |ISBN: 3319742213, 9783319742212 | Size: 3 MB | Extension: pdf
This book offers an introduction to the algorithmic-numerical thinking using basic problems of linear algebra. By focusing on linear algebra, it ensures a stronger thematic coherence than is otherwise found in introductory lectures on numerics. The book highlights the usefulness of matrix partitioning compared to a component view, leading not only to a clearer notation and shorter algorithms, but also to significant runtime gains in modern computer architectures. The algorithms and accompanying numerical examples are given in the programming environment MATLAB, and additionally – in an appendix – in the future-oriented, freely accessible programming language Julia. This book is suitable for a two-hour lecture on numerical linear algebra from the second semester of a bachelors degree in mathematics.
Mathematics Rebooted: A Fresh Approach to Understanding
Title: Mathematics Rebooted: A Fresh Approach to Understanding | Author(s): Lara Alcock | Publisher: Oxford University Press | Year: 2017| Edition: 1 | Language: English | Pages : 256 | ISBN: 0198803796, 9780198803799 | Size: 8 MB | Extension: pdf
Would you like to understand more mathematics? Many people would. Perhaps at school you liked mathematics for a while but were then put off because you missed a key idea and kept getting stuck. Perhaps you always liked mathematics but gave it up because your main interest was music or languages or science or philosophy. Or perhaps you studied mathematics to advanced levels, but have now forgotten most of what you once knew. Whichever is the case, this book is for you. It aims to build on what you know, revisiting basic ideas with a focus on meaning. Each chapter starts with an idea from school mathematics - often primary school mathematics - and gradually builds up a network of links to more advanced material. It explores fundamental ideas in depth, using insights from research in mathematics education and psychology to explain why people often get confused, and how to overcome that confusion. For nervous readers, it will build confidence by clarifying basic ideas. For more experienced readers, it will highlight new connections to more advanced material. Throughout, the book explains how mathematicians think, and how ordinary people can understand and enjoy mathematical ideas and arguments. If you would like to be better informed about the intrinsic elegance of mathematics, this engaging guide is the place to start.
Title: Cohomology and Differential Forms | Author(s): Izu Vaisman |Publisher: Dover Publications | Year: 2016 | Language: English | Pages : 293 | ISBN: 0486804836, 9780486804835 | Size: 21 MB | Extension: pdf
This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. Based on lectures given by author Izu Vaisman at Romanias University of Iasi, the treatment is suitable for advanced undergraduates and graduate students of mathematics as well as mathematical researchers in differential geometry, global analysis, and topology.
A self-contained development of cohomological theory constitutes the central part of the book. Topics include categories and functors, the Čech cohomology with coefficients in sheaves, the theory of fiber bundles, and differentiable, foliated, and complex analytic manifolds. The final chapter covers the theorems of de Rham and Dolbeault-Serre and examines the theorem of Allendoerfer and Eells, with applications of these theorems to characteristic classes and the general theory of harmonic forms.
Two and Three Dimensional Calculus with Applications in Science and Engineering
Title: Two and Three Dimensional Calculus with Applications in Science and Engineering | Author(s): Phil Dyke | Year: 2018 | Language: english| Pages : 382 | ISBN: 1119221781 | Size: 4 MB | Extension: pdf
Description
Covers multivariable calculus, starting from the basics and leading up to the three theorems of Green, Gauss, and Stokes, but always with an eye on practical applications.
Written for a wide spectrum of undergraduate students by an experienced author, this book provides a very practical approach to advanced calculus—starting from the basics and leading up to the theorems of Green, Gauss, and Stokes. It explains, clearly and concisely, partial differentiation, multiple integration, vectors and vector calculus, and provides end-of-chapter exercises along with their solutions to aid the readers’ understanding.
Written in an approachable style and filled with numerous illustrative examples throughout, Two and Three Dimensional Calculus: with Applications in Science and Engineering assumes no prior knowledge of partial differentiation or vectors and explains difficult concepts with easy to follow examples. Rather than concentrating on mathematical structures, the book describes the development of techniques through their use in science and engineering so that students acquire skills that enable them to be used in a wide variety of practical situations. It also has enough rigor to enable those who wish to investigate the more mathematical generalizations found in most mathematics degrees to do so.
Assumes no prior knowledge of partial differentiation, multiple integration or vectors
Includes easy-to-follow examples throughout to help explain difficult concepts
Features end-of-chapter exercises with solutions to exercises in the book.
Two and Three Dimensional Calculus: with Applications in Science and Engineering is an ideal textbook for undergraduate students of engineering and applied sciences as well as those needing to use these methods for real problems in industry and commerce.
Title: Advanced Algebra and Calculus Made Simple | Author(s): William R. Gondin, Bernard Sohmer | Publisher: Doubleday | Year: 1959 |Edition: 1st | Language: English | Pages : 228 | ISBN: 0385004389, 978-0385004381 | Size: 29 MB | Extension: pdf
Self-instructing course on some of the more difficult mathematical concepts; includes transcendental equations, limits, vector analysis, and integration
Title: Mathematical Aspects of Signal Processing | Author(s): Pradip Sircar | Publisher: Cambridge University Press | Year: 2016 | Language: English | Pages : 257 | ISBN: 1107175178, 9781107175174 | Size: 5 MB | Extension: pdf
Written using clear and accessible language, this text provides detailed coverage of the core mathematical concepts underpinning signal processing. All the core areas of mathematics are covered, including generalized inverses, singular value decomposition, function representation, and optimization, with detailed explanations of how basic concepts in these areas underpin the methods used to perform signal processing tasks. A particular emphasis is placed on the practical applications of signal processing, with numerous in-text practice questions and real-world examples illustrating key concepts, and MATLAB programs with accompanying graphical representations providing all the necessary computational background. This is an ideal text for graduate students taking courses in signal processing and mathematical methods, or those who want to establish a firm foundation in these areas before progressing to more advanced study.
Solution techniques for elementary partial differential equations
Title: Solution techniques for elementary partial differential equations | Author(s): Constanda C. | Publisher: CRC Press | Year: 2010 | Edition: 2| Language: English | Pages : 340 | ISBN: 9781439811405 | Size: 2 MB |Extension: pdf
Features
Gives students the necessary theoretical foundation and practical experience for solving analytical problems
Presents a variety of solution methods, including the separation of variables, eigenfunction expansion, Fourier and Laplace transformations, Green’s functions, and asymptotic techniques
Includes Mathematica® code that enables students to check the accuracy of their work without interfering with the solution procedure
Contains a wealth of worked examples and exercises—both computational exercises and standard problems not requiring a software package
A solutions manual and PDF projector files are available upon qualifying course adoption.
Summary
Solution Techniques for Elementary Partial Differential Equations, Third Editionremains a top choice for a standard, undergraduate-level course on partial differential equations (PDEs). Making the text even more user-friendly, this third edition covers important and widely used methods for solving PDEs.
New to the Third Edition
New sections on the series expansion of more general functions, other problems of general second-order linear equations, vibrating string with other types of boundary conditions, and equilibrium temperature in an infinite strip
Reorganized sections that make it easier for students and professors to navigate the contents
Rearranged exercises that are now at the end of each section/subsection instead of at the end of the chapter
New and improved exercises and worked examples
A brief Mathematica® program for nearly all of the worked examples, showing students how to verify results by computer
This bestselling, highly praised textbook uses a streamlined, direct approach to develop students’ competence in solving PDEs. It offers concise, easily understood explanations and worked examples that allow students to see the techniques in action.
Table of Contents
Ordinary Differential Equations: Brief Revision First-Order Equations Homogeneous Linear Equations with Constant Coefficients Nonhomogeneous Linear Equations with Constant Coefficients Cauchy–Euler Equations Functions and Operators
Fourier Series The Full Fourier Series Fourier Sine and Cosine Series Convergence and Differentiation Series Expansion of More General Functions
Some Fundamental Equations of Mathematical Physics The Heat Equation The Laplace Equation The Wave Equation Other Equations
The Method of Separation of Variables The Heat Equation The Wave Equation The Laplace Equation Other Equations Equations with More Than Two Variables
Linear Nonhomogeneous Problems Equilibrium Solutions Nonhomogeneous Problems
The Method of Eigenfunction Expansion The Nonhomogeneous Heat Equation The Nonhomogeneous Wave Equation The Nonhomogeneous Laplace Equation Other Nonhomogeneous Equations
The Fourier Transformations The Full Fourier Transformation The Fourier Sine and Cosine Transformations Other Applications
The Laplace Transformation Definition and Properties Applications
The Method of Green’s Functions The Heat Equation The Laplace Equation The Wave Equation
General Second-Order Linear Equations The Canonical Form Hyperbolic Equations Parabolic Equations Elliptic Equations Other Problems
The Method of Characteristics First-Order Linear Equations First-Order Quasilinear Equations The One-Dimensional Wave Equation Other Hyperbolic Equations
Perturbation and Asymptotic Methods Asymptotic Series Regular Perturbation Problems Singular Perturbation Problems
Complex Variable Methods Elliptic Equations Systems of Equations
Title: Fundamental of Mathematics Co-ordinate Geometry | Author(s): Sanjay Mishra Pearson| Series: Periodical: | Publisher: Pearson | Year: 2018 | Language: English | Pages : 850 | Size: 46 MB | Extension: pdf
Key Features 1. Strictly aligned with the prescribed syllabus. Written in a lucid manner to assist students to understand the concepts without the help of any guide. 2. Provides the vast subject in a structured and useful manner so as to familiarize the candidates taking the current examinations with the current trends and types of multiple-choice questions asked. 3. The multiple-choice questions have been arranged in following categories: Straight Objective Type Questions (Single Choice) Brainteasers Objective Type Questions (Single Choice) Multiple Correct Answer Type Questions (More than one choice) Linked-Comprehension Type Questions Assertion and Reasoning Questions Matrix-Match Type Questions and the IIT - JEE Corner About the Book: Fundamentals of Mathematics -CoordinateGeometry Aspiring engineers have always wanted to secure admissioninpioneering institutes such as the Indian Institute ofTechnologyand the National Institute of Technology. FundamentalsofMathematics, the complete mathematics collection, preparesstudentsfor such prestigious entrance examinations. This seriesiscustomized, class-tested and structure-driven with aconceptualapproach to the subject. The authority, command andexperience ofthe author, Sanjay Mishra, is reflected in the clearexplanationsof complex concepts and in the chapter-end exercises.Each volumeof this series is meticulously planned in a uniquestudent-friendlymanner to make the learning process easier, moreeffective andenjoyable. Contents Preface Acknowledgements Chapter 1 Point and Cartesian System Introduction Postulates of Euclidean Geometry Frame of reference Co-ordinate Systems Rectangular co-ordinate system Sign convention Oblique Co-ordinate System Polar co-ordinate system Relation between the polar and cartesian co-ordinates Distance Between Two Points Lying in a Plane When co-ordinates of two points are given in rectangularform When the co-ordinates of point are given in oblique system When the co-ordinates of points
Fundamentals of Mathematics IIT JEE Functions and Graphs
Title: Fundamentals of Mathematics IIT JEE Functions and Graphs | Author(s): Sanjay Mishra | Publisher: Pearson | Year: 2018 | Language: English | Pages : 642 | Size: 37 MB |Extension: pdf
Fundamentals of Mathematics isa series of 7 books, which are designed to provide comprehensive study material on a specific area in mathematics. It is an ideal companion for students who would like to master a particular subject area based on their individual requirements. All books in this series provide extensive coverage of the topics supported by numerous solved examples. The concepts are explained in a meticulously manner with ample illustrations and practice exercises (with answers). Overall these booksenables quick learning and aids thorough preparation to crack the various engineering entrance examinations
Title: Fourier Analysis - A Signal Processing Approach | Author(s): D. Sundararajan |Publisher: Springer | Year: 2018 | Language: English | Pages : 365 | ISBN: 978-981-13-1693-7| Size: 7 MB | Extension: pdf
This book sheds new light on Transform methods, which dominate the study of linear time-invariant systems in all areas of science and engineering, such as circuit theory, signal/image processing, communications, controls, vibration analysis, remote sensing, biomedical systems, optics and acoustics. It presents Fourier analysis primarily using physical explanations with waveforms and/or examples, only using mathematical formulations to the extent necessary for its practical use. Intended as a textbook for senior undergraduates and graduate level Fourier analysis courses in engineering and science departments, and as a supplementary textbook for a variety of application courses in science and engineering, the book is also a valuable reference for anyone – student or professional – specializing in practical applications of Fourier analysis. The prerequisite for reading this book is a sound understanding of calculus, linear algebra, signals and systems, and programming at the undergraduate level.
Robust Nonlinear Regression with Applications Using R
Title: Robust Nonlinear Regression with Applications Using R | Author(s): Hossein Riazoshams, Habshah Midi | Publisher: Wiley | Year: 2018 | Language: English | Pages : 259 |ISBN: 9781119010449 | Size: 3 MB | Extension: pdf
Robust Nonlinear Regression: with Applications using R covers a variety of theories and applications of nonlinear robust regression. It discusses both parts of the classic and robust aspects of nonlinear regression and focuses on outlier effects. It develops new methods in robust nonlinear regression and implements a set of objects and functions in S-language under SPLUS and R software. The software covers a wide range of robust nonlinear fitting and inferences, and is designed to provide facilities for computer users to define their own nonlinear models as an object, and fit models using classic and robust methods as well as detect outliers. The implemented objects and functions can be applied by practitioners as well as researchers.
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