Modeling of Curves and Surfaces with MATLAB®


Book Description

This text on geometry is devoted to various central geometrical topics including: graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces as well as their applications in a variety of disciplines. This book presents elementary methods for analytical modeling and demonstrates the potential for symbolic computational tools to support the development of analytical solutions. The author systematically examines several powerful tools of MATLAB® including 2D and 3D animation of geometric images with shadows and colors and transformations using matrices. With over 150 stimulating exercises and problems, this text integrates traditional differential and non-Euclidean geometries with more current computer systems in a practical and user-friendly format. This text is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines.




Scientific Computing with MATLAB


Book Description

Scientific Computing with MATLAB®, Second Edition improves students’ ability to tackle mathematical problems. It helps students understand the mathematical background and find reliable and accurate solutions to mathematical problems with the use of MATLAB, avoiding the tedious and complex technical details of mathematics. This edition retains the structure of its predecessor while expanding and updating the content of each chapter. The book bridges the gap between problems and solutions through well-grouped topics and clear MATLAB example scripts and reproducible MATLAB-generated plots. Students can effortlessly experiment with the scripts for a deep, hands-on exploration. Each chapter also includes a set of problems to strengthen understanding of the material.




Applied Optimization with MATLAB Programming


Book Description

Technology/Engineering/Mechanical Provides all the tools needed to begin solving optimization problems using MATLAB® The Second Edition of Applied Optimization with MATLAB® Programming enables readers to harness all the features of MATLAB® to solve optimization problems using a variety of linear and nonlinear design optimization techniques. By breaking down complex mathematical concepts into simple ideas and offering plenty of easy-to-follow examples, this text is an ideal introduction to the field. Examples come from all engineering disciplines as well as science, economics, operations research, and mathematics, helping readers understand how to apply optimization techniques to solve actual problems. This Second Edition has been thoroughly revised, incorporating current optimization techniques as well as the improved MATLAB® tools. Two important new features of the text are: Introduction to the scan and zoom method, providing a simple, effective technique that works for unconstrained, constrained, and global optimization problems New chapter, Hybrid Mathematics: An Application, using examples to illustrate how optimization can develop analytical or explicit solutions to differential systems and data-fitting problems Each chapter ends with a set of problems that give readers an opportunity to put their new skills into practice. Almost all of the numerical techniques covered in the text are supported by MATLAB® code, which readers can download on the text's companion Web site www.wiley.com/go/venkat2e and use to begin solving problems on their own. This text is recommended for upper-level undergraduate and graduate students in all areas of engineering as well as other disciplines that use optimization techniques to solve design problems.




An Engineer's Introduction to Programming with MATLAB 2018


Book Description

This book accomplishes two things simultaneously: it teaches you to use the latest version of the powerful MATLAB programming environment, and it teaches you core, transferrable programming skills that will make you feel at home with most procedural programming languages. MATLAB has been in existence for more than 30 years and is used by millions of engineers, scientists, and students worldwide, both for its depth and its easy usability. With dozens of specialized toolboxes available beyond the core program, as well as its companion program Simulink for simulation and model-based design, MATLAB can serve as an invaluable aid throughout your career. Unlike many MATLAB books, ours assumes no prior experience in computer programming. Using an approachable tone, we take you from the simplest variables through complex examples of data visualization and curve fitting. Each chapter builds on the last, presenting an in-depth tutorial on a focused concept central to programming, using the MATLAB language, but applicable to countless other popular and in-demand languages such as C++, Java, JavaScript, R, and Python. We'll ask you to perform short exercises as we work through each chapter, followed by more end-to-end exercises and mental challenges at the chapter's end. As the complexity of the concepts increases, the exercises present increasingly real-world engineering challenges to match. Once you've completed An Engineer's Introduction to Programming with MATLAB 2018, you will have a solid foundation in computer programming forms and concepts and a comfort with the MATLAB environment and programming language. We believe that you'll enjoy both gaining and having that knowledge, and that you'll be able to use it almost immediately with your other coursework.




An Engineer's Introduction to Programming with MATLAB 2017


Book Description

This book accomplishes two things simultaneously: it teaches you to use the latest version of the powerful MATLAB programming environment, and it teaches you core, transferrable programming skills that will make you feel at home with most procedural programming languages. MATLAB has been in existence for more than 30 years and is used by millions of engineers, scientists, and students worldwide, both for its depth and its easy usability. With dozens of specialized toolboxes available beyond the core program, as well as its companion program Simulink for simulation and model-based design, MATLAB can serve as an invaluable aid throughout your career. Unlike many MATLAB books, ours assumes no prior experience in computer programming. Using an approachable tone, we take you from the simplest variables through complex examples of data visualization and curve fitting. Each chapter builds on the last, presenting an in-depth tutorial on a focused concept central to programming, using the MATLAB language, but applicable to countless other popular and in-demand languages such as C++, Java, JavaScript, R, and Python. We'll ask you to perform short exercises as we work through each chapter, followed by more end-to-end exercises and mental challenges at the chapter's end. As the complexity of the concepts increases, the exercises present increasingly real-world engineering challenges to match. Once you've completed An Engineer's Introduction to Programming with MATLAB 2017, you will have a solid foundation in computer programming forms and concepts and a comfort with the MATLAB environment and programming language. We believe that you'll enjoy both gaining and having that knowledge, and that you'll be able to use it almost immediately with your other coursework.




Curve and Surface Fitting


Book Description

The purpose of this book is to reveal the foundations and major features of several basic methods for curve and surface fitting that are currently in use.




Fitting Models to Biological Data Using Linear and Nonlinear Regression


Book Description

Most biologists use nonlinear regression more than any other statistical technique, but there are very few places to learn about curve-fitting. This book, by the author of the very successful Intuitive Biostatistics, addresses this relatively focused need of an extraordinarily broad range of scientists.




An Engineer's Introduction to Programming with MATLAB 2019


Book Description

This book accomplishes two things simultaneously: it teaches you to use the latest version of the powerful MATLAB programming environment, and it teaches you core, transferable programming skills that will make you feel at home with most procedural programming languages. MATLAB has been in existence for more than 30 years and is used by millions of engineers, scientists, and students worldwide, both for its depth and its easy usability. With dozens of specialized toolboxes available beyond the core program, as well as its companion program Simulink for simulation and model-based design, MATLAB can serve as an invaluable aid throughout your career. Unlike many MATLAB books, ours assumes no prior experience in computer programming. Using an approachable tone, we take you from the simplest variables through complex examples of data visualization and curve fitting. Each chapter builds on the last, presenting an in-depth tutorial on a focused concept central to programming, using the MATLAB language, but applicable to countless other popular and in-demand languages such as C++, Java, JavaScript, R, and Python. We'll ask you to perform short exercises as we work through each chapter, followed by more end-to-end exercises and mental challenges at the chapter's end. As the complexity of the concepts increases, the exercises present increasingly real-world engineering challenges to match. Once you've completed An Engineer's Introduction to Programming with MATLAB 2019, you will have a solid foundation in computer programming forms and concepts and a comfort with the MATLAB environment and programming language. We believe that you'll enjoy both gaining and having that knowledge, and that you'll be able to use it almost immediately with your other coursework. Videos The authors of this book have recorded instructional videos to accompany this book. These videos allow you to see many of the instructions given in the tutorials being executed in MATLAB itself. These videos should be of particular help to visual learners. This book includes • Step-by-step tutorials written to help the novice user become proficient using MATLAB • A Getting Started chapter for configuring MATLAB for use with the tutorials • Organization and a level suitable for a first year introductory engineering course • Updates for the MATLAB 2019a release. • Tips offering suggestions and warnings as you progress through the book • Key Terms and Key Commands listed to recap important topics and commands learned in each tutorial • An index to help you easily look up topics • Exercises at the end of each tutorial providing challenges to a range of abilities.




Fundamentals of Graphics Using MATLAB


Book Description

This book introduces fundamental concepts and principles of 2D and 3D graphics and is written for undergraduate and postgraduate students of computer science, graphics, multimedia, and data science. It demonstrates the use of MATLAB® programming for solving problems related to graphics and discusses a variety of visualization tools to generate graphs and plots. The book covers important concepts like transformation, projection, surface generation, parametric representation, curve fitting, interpolation, vector representation, and texture mapping, all of which can be used in a wide variety of educational and research fields. Theoretical concepts are illustrated using a large number of practical examples and programming codes, which can be used to visualize and verify the results. Key Features: Covers fundamental concepts and principles of 2D and 3D graphics Demonstrates the use of MATLAB® programming for solving problems on graphics Provides MATLAB® codes as answers to specific numerical problems Provides codes in a simple copy and execute format for the novice learner Focuses on learning through visual representation with extensive use of graphs and plots Helps the reader gain in-depth knowledge about the subject matter through practical examples Contains review questions and practice problems with answers for self-evaluation




Curve and Surface Fitting


Book Description

Two new volumes of carefully refereed and edited papers on the most current developments in the theory and applications of curves and surfaces. These two volumes contain a selection of papers presented at the Saint-Malo Conference on Approximation Theory in July 1999. Each contains several invited survey papers written by experts in the field, along with contributed research papers. They will be of great interest to mathematicians, engineers, and computer scientists working in the fields of Approximation Theory, Computer-Aided Geometric Design (CAGD), Computer Graphics, Numerical Analysis, CAD/CAM, and application areas. Curve and Surface Design includes the following topics: B-bases canal surfaces conics curvature discrete fairing free form surfaces G2-splines highlight lines involute curves multisided patches NURBs and NURPs offsets ray tracing ruled surfaces sculptured surfaces segmentation methods shape preservation texture voronoi diagrams