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CRC Standard Curves and Surfaces with Mathematica Third Edition

CRC Standard Curves and Surfaces with Mathematica  Third Edition Author David H. von Seggern
ISBN-10 9781315355290
Release 2017-07-12
Pages 474
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Since the publication of this book’s bestselling predecessor, Mathematica® has matured considerably and the computing power of desktop computers has increased greatly. The Mathematica® typesetting functionality has also become sufficiently robust that the final copy for this edition could be transformed directly from Mathematica R notebooks to LaTex input. Incorporating these aspects, CRC Standard Curves and Surfaces with Mathematica®, Third Edition is a virtual encyclopedia of curves and functions that depicts nearly all of the standard mathematical functions and geometrical figures in use today. The overall format of the book is largely unchanged from the previous edition, with function definitions and their illustrations presented closely together. New to the Third Edition: A new chapter on Laplace transforms New curves and surfaces in almost every chapter Several chapters that have been reorganized Better graphical representations for curves and surfaces throughout A CD-ROM, including the entire book in a set of interactive CDF (Computable Document Format) files The book presents a comprehensive collection of nearly 1,000 illustrations of curves and surfaces often used or encountered in mathematics, graphics design, science, and engineering fields. One significant change with this edition is that, instead of presenting a range of realizations for most functions, this edition presents only one curve associated with each function. The graphic output of the Manipulate function is shown exactly as rendered in Mathematica, with the exact parameters of the curve’s equation shown as part of the graphic display. This enables readers to gauge what a reasonable range of parameters might be while seeing the result of one particular choice of parameters.



CRC Standard Curves and Surfaces with Mathematica Second Edition

CRC Standard Curves and Surfaces with Mathematica  Second Edition Author David H. von Seggern
ISBN-10 1584885998
Release 2006-10-20
Pages 556
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Since the publication of the first edition, Mathematica® has matured considerably and the computing power of desktop computers has increased greatly. This enables the presentation of more complex curves and surfaces as well as the efficient computation of formerly prohibitive graphical plots. Incorporating both of these aspects, CRC Standard Curves and Surfaces with Mathematica®, Second Edition is a virtual encyclopedia of curves and functions that depicts nearly all of the standard mathematical functions rendered using Mathematica. While the easy-to-use format remains unchanged from the previous edition, many chapters have been reorganized and better graphical representations of numerous curves and surfaces have been produced. An introductory chapter describes the basic properties of curves and surfaces, includes two handy tables of 2-D and 3-D curve and surface transformations, and provides a quick understanding of the basic nature of mathematical functions. To facilitate more efficient and more thorough use of the material, the whole gamut of curves and surfaces is divided into sixteen individual chapters. The accompanying CD-ROM includes Mathematica notebooks of code to construct plots of all the functions presented in the book. New to the Second Edition Chapters on minimal surfaces and Green's functions that involve Poisson, wave, diffusion, and Helmholtz equations Knots and links in the 3-D curves chapter Archimedean solids, duals of Platonic solids, and stellated forms in the regular polyhedra chapter Additional curves and surfaces in almost every chapter Expanded index for quick access to curves or surfaces of interest and to find definitions of common mathematical terms Upgraded Mathematica notebooks with more uniform formatting, more complete documentation on particular curves and surfaces, an explanation of the plotting algorithms, and more explicit designations of variable parameters to easily adjust curve or surface plots



CRC Standard Curves and Surfaces

CRC Standard Curves and Surfaces Author David H. von Seggern
ISBN-10 0849301963
Release 1992-12-15
Pages 416
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CRC Standard Curves and Surfaces is a comprehensive illustrated catalog of curves and surfaces of geometric figures and algebraic, transcendental, and integral equations used in elementary and advanced mathematics. More than 800 graphics images are featured. Based on the successful CRC Handbook of Mathematical Curves and Surfaces, this new volume retains the easy to use "catalog" format of the original book. Illustrations are presented in a common format organized by type of equation. Associated equations are printed in their simplest form along with any notes required to understand the illustrations. Equations and graphics appear in a side-by-side format, with figures printed on righthand pages and text on lefthand pages. Most curves and surfaces are plotted with several parameter selections so that the variation of the mathematical functions are easily understandable. Coverage on algebraic surfaces and transcendental surfaces has been expanded by 30% over the original edition; material on functions in mathematical physics has expanded by 50%. New material on functions of random processes and functions of complex variable surfaces has been added. A complementary software program (see the next title listed in this catalog) enables you to plot all of the functions found in this book.



CRC Standard Curves and Surfaces

CRC Standard Curves and Surfaces Author David H. von Seggern
ISBN-10 0849301963
Release 1992-12-15
Pages 416
Download Link Click Here

CRC Standard Curves and Surfaces is a comprehensive illustrated catalog of curves and surfaces of geometric figures and algebraic, transcendental, and integral equations used in elementary and advanced mathematics. More than 800 graphics images are featured. Based on the successful CRC Handbook of Mathematical Curves and Surfaces, this new volume retains the easy to use "catalog" format of the original book. Illustrations are presented in a common format organized by type of equation. Associated equations are printed in their simplest form along with any notes required to understand the illustrations. Equations and graphics appear in a side-by-side format, with figures printed on righthand pages and text on lefthand pages. Most curves and surfaces are plotted with several parameter selections so that the variation of the mathematical functions are easily understandable. Coverage on algebraic surfaces and transcendental surfaces has been expanded by 30% over the original edition; material on functions in mathematical physics has expanded by 50%. New material on functions of random processes and functions of complex variable surfaces has been added. A complementary software program (see the next title listed in this catalog) enables you to plot all of the functions found in this book.



Modern Differential Geometry of Curves and Surfaces with Mathematica Third Edition

Modern Differential Geometry of Curves and Surfaces with Mathematica  Third Edition Author Elsa Abbena
ISBN-10 9781351992206
Release 2017-09-06
Pages 1016
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Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted. Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space.



An Introduction to Partial Differential Equations with MATLAB Second Edition

An Introduction to Partial Differential Equations with MATLAB  Second Edition Author Matthew P. Coleman
ISBN-10 9781439898475
Release 2016-04-19
Pages 683
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An Introduction to Partial Differential Equations with MATLAB®, Second Edition illustrates the usefulness of PDEs through numerous applications and helps students appreciate the beauty of the underlying mathematics. Updated throughout, this second edition of a bestseller shows students how PDEs can model diverse problems, including the flow of heat, the propagation of sound waves, the spread of algae along the ocean’s surface, the fluctuation in the price of a stock option, and the quantum mechanical behavior of a hydrogen atom. Suitable for a two-semester introduction to PDEs and Fourier series for mathematics, physics, and engineering students, the text teaches the equations based on method of solution. It provides both physical and mathematical motivation as much as possible. The author treats problems in one spatial dimension before dealing with those in higher dimensions. He covers PDEs on bounded domains and then on unbounded domains, introducing students to Fourier series early on in the text. Each chapter’s prelude explains what and why material is to be covered and considers the material in a historical setting. The text also contains many exercises, including standard ones and graphical problems using MATLAB. While the book can be used without MATLAB, instructors and students are encouraged to take advantage of MATLAB’s excellent graphics capabilities. The MATLAB code used to generate the tables and figures is available in an appendix and on the author’s website.



Modern differential geometry of curves and surfaces

Modern differential geometry of curves and surfaces Author Alfred Gray
ISBN-10 UOM:39015036086471
Release 1993-08
Pages 664
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This is the first advanced text/reference to explain the mathematics of curves and surfaces and describe how to draw the pictures illustrating them using Mathematica. Learn not only the classical concepts, ideas, and methods of differential geometry, but also how to define, construct, and compute standard functions. Also learn how to create new curves and surfaces from old ones. Material includes 150+ exercises, 175 Mathematica programs, and 225 geometric figures to develop the topics presented. A tutorial explaining how to use Mathematica in differential geometry is included as well. This text/reference is excellent for mathematicians, scientists, and engineers who use differential geometric methods and investigate geometrical structures.



Introduction to the Calculus of Variations and Control with Modern Applications

Introduction to the Calculus of Variations and Control with Modern Applications Author John A. Burns
ISBN-10 9781466571396
Release 2013-08-28
Pages 562
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Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book also presents some classical sufficient conditions and discusses the importance of distinguishing between the necessary and sufficient conditions. In the first part of the text, the author develops the calculus of variations and provides complete proofs of the main results. He explains how the ideas behind the proofs are essential to the development of modern optimization and control theory. Focusing on optimal control problems, the second part shows how optimal control is a natural extension of the classical calculus of variations to more complex problems. By emphasizing the basic ideas and their mathematical development, this book gives you the foundation to use these mathematical tools to then tackle new problems. The text moves from simple to more complex problems, allowing you to see how the fundamental theory can be modified to address more difficult and advanced challenges. This approach helps you understand how to deal with future problems and applications in a realistic work environment.



Mixed Boundary Value Problems

Mixed Boundary Value Problems Author Dean G. Duffy
ISBN-10 1420010948
Release 2008-03-26
Pages 488
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Methods for Solving Mixed Boundary Value Problems An up-to-date treatment of the subject, Mixed Boundary Value Problems focuses on boundary value problems when the boundary condition changes along a particular boundary. The book often employs numerical methods to solve mixed boundary value problems and the associated integral equations. Straightforward Presentation of Mathematical Techniques The author first provides examples of mixed boundary value problems and the mathematical background of integral functions and special functions. He then presents classic mathematical physics problems to explain the origin of mixed boundary value problems and the mathematical techniques that were developed to handle them. The remaining chapters solve various mixed boundary value problems using separation of variables, transform methods, the Wiener–Hopf technique, Green’s function, and conformal mapping. Decipher Mixed Boundary Value Problems That Occur in Diverse Fields Including MATLAB® to help with problem solving, this book provides the mathematical skills needed for the solution of mixed boundary value problems.



Modeling and Control in Vibrational and Structural Dynamics

Modeling and Control in Vibrational and Structural Dynamics Author Peng-Fei Yao
ISBN-10 9781439834558
Release 2011-07-06
Pages 419
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Modeling and Control in Vibrational and Structural Dynamics: A Differential Geometric Approach describes the control behavior of mechanical objects, such as wave equations, plates, and shells. It shows how the differential geometric approach is used when the coefficients of partial differential equations (PDEs) are variable in space (waves/plates), when the PDEs themselves are defined on curved surfaces (shells), and when the systems have quasilinear principal parts. To make the book self-contained, the author starts with the necessary background on Riemannian geometry. He then describes differential geometric energy methods that are generalizations of the classical energy methods of the 1980s. He illustrates how a basic computational technique can enable multiplier schemes for controls and provide mathematical models for shells in the form of free coordinates. The author also examines the quasilinearity of models for nonlinear materials, the dependence of controllability/stabilization on variable coefficients and equilibria, and the use of curvature theory to check assumptions. With numerous examples and exercises throughout, this book presents a complete and up-to-date account of many important advances in the modeling and control of vibrational and structural dynamics.



The Mathematica GuideBook for Programming

The Mathematica GuideBook for Programming Author Michael Trott
ISBN-10 9781441985033
Release 2013-12-21
Pages 1028
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This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a detailed knowledge of the key aspects needed to create the fastest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes -- Programming, Graphics, and Mathematics, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ references, and more than 500 exercises. This first volume begins with the structure of Mathematica expressions, the syntax of Mathematica, its programming, graphic, numeric and symbolic capabilities. It then covers the hierarchical construction of objects out of symbolic expressions, the definition of functions, the recognition of patterns and their efficient application, program flows and program structuring, and the manipulation of lists. An indispensible resource for students, researchers and professionals in mathematics, the sciences, and engineering.



Practical Linear Algebra

Practical Linear Algebra Author Gerald Farin
ISBN-10 9781498759779
Release 2015-09-15
Pages 514
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Through many examples and real-world applications, Practical Linear Algebra: A Geometry Toolbox, Third Edition teaches undergraduate-level linear algebra in a comprehensive, geometric, and algorithmic way. Designed for a one-semester linear algebra course at the undergraduate level, the book gives instructors the option of tailoring the course for the primary interests: math, engineering, science, computer graphics, and geometric modeling. New to the Third Edition More exercises and applications Coverage of singular value decomposition and its application to the pseudoinverse, principal components analysis, and image compression More attention to eigen-analysis, including eigenfunctions and the Google matrix Greater emphasis on orthogonal projections and matrix decompositions, which are tied to repeated themes such as the concept of least squares To help students better visualize and understand the material, the authors introduce the fundamental concepts of linear algebra first in a two-dimensional setting and then revisit these concepts and others in a three-dimensional setting. They also discuss higher dimensions in various real-life applications. Triangles, polygons, conics, and curves are introduced as central applications of linear algebra. Instead of using the standard theorem-proof approach, the text presents many examples and instructional illustrations to help students develop a robust, intuitive understanding of the underlying concepts. The authors’ website also offers the illustrations for download and includes Mathematica® code and other ancillary materials.



The Mathematics of Soap Films

The Mathematics of Soap Films Author John Oprea
ISBN-10 9780821821183
Release 2000
Pages 266
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Nature tries to minimize the surface area of a soap film through the action of surface tension. The process can be understood mathematically by using differential geometry, complex analysis, and the calculus of variations. This book employs ingredients from each of these subjects to tell the mathematical story of soap films. The text is fully self-contained, bringing together a mixture of types of mathematics along with a bit of the physics that underlies the subject. The development is primarily from first principles, requiring no advanced background material from either mathematics or physics. Through the MapleR applications, the reader is given tools for creating the shapes that are being studied. Thus, you can ``see'' a fluid rising up an inclined plane, create minimal surfaces from complex variables data, and investigate the ``true'' shape of a balloon. Oprea also includes descriptions of experiments and photographs that let you see real soap films on wire frames. The theory of minimal surfaces is a beautiful subject, which naturally introduces the reader to fascinating, yet accessible, topics in mathematics. Oprea's presentation is rich with examples, explanations, and applications. It would make an excellent text for a senior seminar or for independent study by upper-division mathematics or science majors.



Choice

Choice Author
ISBN-10 UCSC:32106017982452
Release 2007
Pages
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Choice has been writing in one form or another for most of life. You can find so many inspiration from Choice also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Choice book for free.



Differential Geometry and Topology

Differential Geometry and Topology Author Keith Burns
ISBN-10 1584882530
Release 2005-05-27
Pages 400
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Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, and dynamical systems. Topics of special interest addressed in the book include Brouwer's fixed point theorem, Morse Theory, and the geodesic flow. Smooth manifolds, Riemannian metrics, affine connections, the curvature tensor, differential forms, and integration on manifolds provide the foundation for many applications in dynamical systems and mechanics. The authors also discuss the Gauss-Bonnet theorem and its implications in non-Euclidean geometry models. The differential topology aspect of the book centers on classical, transversality theory, Sard's theorem, intersection theory, and fixed-point theorems. The construction of the de Rham cohomology builds further arguments for the strong connection between the differential structure and the topological structure. It also furnishes some of the tools necessary for a complete understanding of the Morse theory. These discussions are followed by an introduction to the theory of hyperbolic systems, with emphasis on the quintessential role of the geodesic flow. The integration of geometric theory, topological theory, and concrete applications to dynamical systems set this book apart. With clean, clear prose and effective examples, the authors' intuitive approach creates a treatment that is comprehensible to relative beginners, yet rigorous enough for those with more background and experience in the field.



Practical Guide To Chemometrics Second Edition

Practical Guide To Chemometrics  Second Edition Author Paul Gemperline
ISBN-10 9781420018301
Release 2006-04-16
Pages 552
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The limited coverage of data analysis and statistics offered in most undergraduate and graduate analytical chemistry courses is usually focused on practical aspects of univariate methods. Drawing in real-world examples, Practical Guide to Chemometrics, Second Edition offers an accessible introduction to application-oriented multivariate methods of data analysis and procedures that are highly beneficial to solving a variety of problems using analytical chemistry and statistics. Rather than overshadowing the concepts with theoretical background, this book uses application-oriented examples to illustrate how chemometrics techniques can be applied to complex scenarios with multiple and dynamic variables. The book presents a diverse selection of topics that include sampling, modeling, experimental design, calibration, pattern recognition, data analysis techniques, algorithms, and error. This second edition has been completely revised to feature new chapters on principal component analysis, self-modeling curve resolution, and multi-way analysis methods. It includes expanded material on normal distributions, sampling theory, signal processing, and digital filtering. Embracing the growing role of chemometrics in some of the latest research trends, such as quantitative biology, bioinformatics, and proteomics, this book also identifies several areas for future development and applications. Practical Guide to Chemometrics, Second Edition continues to offer a reliable source of useful information in a style that is accessible to all levels of students, professionals, and researchers involved in analyzing scientific data.



Connecting with Computer Science

Connecting with Computer Science Author Greg Anderson
ISBN-10 9781439080351
Release 2010-01-14
Pages 640
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Written for the beginning computing student, this text engages readers by relating core computer science topics to their industry application. The book is written in a comfortable, informal manner, and light humor is used throughout the text to maintain interest and enhance learning. All chapters contain a multitude of exercises, quizzes, and other opportunities for skill application. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.