The Astroid Of The Parabola

Author by : Charles Henry Haentjens
Languange : en
Publisher by : Unknown
Format Available : PDF, ePub, Mobi
Total Read : 65
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Computer Graphics Through Opengl

Author by : Sumanta Guha
Languange : en
Publisher by : CRC Press
Format Available : PDF, ePub, Mobi
Total Read : 28
Total Download : 914
File Size : 50,9 Mb
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Description : From geometric primitives to animation to 3D modeling to lighting, shading, and texturing, Computer Graphics Through OpenGL®: From Theory to Experiments, Second Edition presents a comprehensive introduction to computer graphics that uses an active learning style to teach key concepts. Equally emphasizing theory and practice, the book provides an understanding not only of the principles of 3D computer graphics, but also the use of the OpenGL® Application Programming Interface (API) to code 3D scenes and animation, including games and movies. The undergraduate core of the book is a one-semester sequence taking the student from zero knowledge of computer graphics to a mastery of the fundamental concepts with the ability to code applications using fourth-generation OpenGL. The remaining chapters explore more advanced topics, including the structure of curves and surfaces and the application of projective spaces and transformations. New to the Second Edition 30 more programs, 50 more experiments, and 50 more exercises Two new chapters on OpenGL 4.3 shaders and the programmable pipeline Coverage of: Vertex buffer and array objects Occlusion culling and queries and conditional rendering Texture matrices Multitexturing and texture combining Multisampling Point sprites Image and pixel manipulation Pixel buffer objects Shadow mapping Web Resource The book’s website at www.sumantaguha.com provides program source code that runs on various platforms. It includes a guide to installing OpenGL and executing the programs, special software to help run the experiments, and figures from the book. The site also contains an instructor’s manual with solutions to 100 problems (for qualifying instructors only).


Calculus With Curvilinear Coordinates

Author by : Markus Antoni
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 20
Total Download : 521
File Size : 40,7 Mb
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Description : This book presents problems and solutions in calculus with curvilinear coordinates. Vector analysis can be performed in different coordinate systems, an optimal system considers the symmetry of the problem in order to reduce calculatory difficulty. The book presents the material in arbitrary orthogonal coordinates, and includes the discussion of parametrization methods as well as topics such as potential theory and integral theorems. The target audience primarily comprises university teachers in engineering mathematics, but the book may also be beneficial for advanced undergraduate and graduate students alike.


Modern Differential Geometry Of Curves And Surfaces With Mathematica Second Edition

Author by : mary Gray
Languange : en
Publisher by : CRC Press
Format Available : PDF, ePub, Mobi
Total Read : 16
Total Download : 946
File Size : 40,9 Mb
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Description : The Second Edition combines a traditional approach with the symbolic manipulation abilities of Mathematica to explain and develop the classical theory of curves and surfaces. You will learn to reproduce and study interesting curves and surfaces - many more than are included in typical texts - using computer methods. By plotting geometric objects and studying the printed result, teachers and students can understand concepts geometrically and see the effect of changes in parameters. Modern Differential Geometry of Curves and Surfaces with Mathematica explains how to define and compute standard geometric functions, for example the curvature of curves, and presents a dialect of Mathematica for constructing new curves and surfaces from old. The book also explores how to apply techniques from analysis. Although the book makes extensive use of Mathematica, readers without access to that program can perform the calculations in the text by hand. While single- and multi-variable calculus, some linear algebra, and a few concepts of point set topology are needed to understand the theory, no computer or Mathematica skills are required to understand the concepts presented in the text. In fact, it serves as an excellent introduction to Mathematica, and includes fully documented programs written for use with Mathematica. Ideal for both classroom use and self-study, Modern Differential Geometry of Curves and Surfaces with Mathematica has been tested extensively in the classroom and used in professional short courses throughout the world.


Elementary Geometry Of Differentiable Curves

Author by : C. G. Gibson
Languange : en
Publisher by : Cambridge University Press
Format Available : PDF, ePub, Mobi
Total Read : 9
Total Download : 123
File Size : 44,5 Mb
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Description : This genuine introduction to the differential geometry of plane curves is designed as a first text for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. The book assumes only foundational year mathematics: it is well illustrated, and contains several hundred worked examples and exercises, making it suitable for adoption as a course text.


100 Great Problems Of Elementary Mathematics

Author by : Heinrich Dörrie
Languange : en
Publisher by : Courier Corporation
Format Available : PDF, ePub, Mobi
Total Read : 98
Total Download : 122
File Size : 45,9 Mb
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Description : Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.


Foundations Of Mathematics

Author by : Philip Brown
Languange : en
Publisher by : Stylus Publishing, LLC
Format Available : PDF, ePub, Mobi
Total Read : 63
Total Download : 116
File Size : 43,7 Mb
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Description : Foundations of Mathematics offers the university student or interested reader a unique reference book by covering the basics of algebra, trigonometry, geometry, and calculus. There are many instances in the book to demonstrate the interplay and interconnectedness of these topics. The book presents definitions and examples throughout for clear, easy learning. Numerous exercises are included at the ends of the chapters, and readers are encouraged to complete all of them as an essential part of working through the book. It offers a unique experience for readers to understand different areas of mathematics in one clear, concise text. Instructors’ resources are available upon adoption. Features: •Covers the basics of algebra, trigonometry, geometry, and calculus •Includes all of the mathematics needed to learn calculus •Demonstrates the interplay and interconnectedness of these topics •Uses numerous examples and exercises to reinforce concepts


Algebraic And Analytic Methods In Representation Theory

Author by : Anonim
Languange : en
Publisher by : Elsevier
Format Available : PDF, ePub, Mobi
Total Read : 85
Total Download : 786
File Size : 43,7 Mb
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Description : This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike. Presents several different points of view on key topics in representation theory, from internationally known experts in the field


Differential And Integral Calculus

Author by : Richard Courant
Languange : en
Publisher by : John Wiley & Sons
Format Available : PDF, ePub, Mobi
Total Read : 38
Total Download : 468
File Size : 44,5 Mb
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Description : The classic introduction to the fundamentals of calculus Richard Courant's classic text Differential and Integral Calculus is an essential text for those preparing for a career in physics or applied math. Volume 1 introduces the foundational concepts of "function" and "limit", and offers detailed explanations that illustrate the "why" as well as the "how". Comprehensive coverage of the basics of integrals and differentials includes their applications as well as clearly-defined techniques and essential theorems. Multiple appendices provide supplementary explanation and author notes, as well as solutions and hints for all in-text problems.


Cambridge International As And A Level Mathematics Pure Mathematics 2 And 3 Revised Edition Coursebook

Author by : Hugh Neill
Languange : en
Publisher by : Cambridge University Press
Format Available : PDF, ePub, Mobi
Total Read : 66
Total Download : 263
File Size : 45,8 Mb
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Description : Cambridge AS and A Level Mathematics is a revised series to ensure full syllabus coverage. This coursebook has been revised and updated to ensure that it meets the requirements for the Pure Mathematics 2 and 3 (P2 and P3) units of Cambridge AS and A Level Mathematics (9709). Additional materials have been added to sections on logarithmic and exponential functions, the derivative of tan x and vectors. All of the review questions have been updated to reflect changes in the style of questions asked in the course.


The Math Book

Author by : Clifford A. Pickover
Languange : en
Publisher by : Sterling Publishing Company, Inc.
Format Available : PDF, ePub, Mobi
Total Read : 83
Total Download : 183
File Size : 45,9 Mb
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Description : This book covers 250 milestones in mathematical history, beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions.


Further Pure Mathematics

Author by : Geoff Mannall
Languange : en
Publisher by : Heinemann
Format Available : PDF, ePub, Mobi
Total Read : 97
Total Download : 569
File Size : 42,6 Mb
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Description : Drawing on over 10 years' experience of publishing for Edexcel maths, Heinemann Modular Maths for Edexcel AS and A Level brings you dedicated textbooks to help you give your students a clear route to success, now with new Core maths titles to match the new 2004 specification. Further Pure 2 replaces Pure 5 in the new specification.


A Course Of Higher Mathematics

Author by : V. I. Smirnov
Languange : en
Publisher by : Elsevier
Format Available : PDF, ePub, Mobi
Total Read : 36
Total Download : 696
File Size : 51,6 Mb
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Description : A Course of Higher Mathematics, I: Elementary Calculus is a five-volume course of higher mathematics used by mathematicians, physicists, and engineers in the U.S.S.R. This volume deals with calculus and principles of mathematical analysis including topics on functions of single and multiple variables. The functional relationships, theory of limits, and the concept of differentiation, whether as theories and applications, are discussed. This book also examines the applications of differential calculus to geometry. For example, the equations to determine the differential of arc or the parameters of a curve are shown. This text then notes the basic problems involving integral calculus, particularly regarding indefinite integrals and their properties. The application of definite integrals in the calculation of area of a sector, the length of arc, and the calculation of the volumes of solids of a given cross-section are explained. This book further discusses the basic theory of infinite series, applications to approximate evaluations, Taylor's formula, and its extension. Finally, the geometrical approach to the concept of a number is reviewed. This text is suitable for physicists, engineers, mathematicians, and students in higher mathematics.


A Book Of Curves

Author by : Edward Harrington Lockwood
Languange : en
Publisher by : Cambridge University Press
Format Available : PDF, ePub, Mobi
Total Read : 31
Total Download : 884
File Size : 48,9 Mb
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Description : Describes the drawing of plane curves, cycloidal curves, spirals, glissettes and others.


Encyclopedia Of Analytical Surfaces

Author by : S.N. Krivoshapko
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 44
Total Download : 144
File Size : 52,8 Mb
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Description : This encyclopedia presents an all-embracing collection of analytical surface classes. It provides concise definitions and description for more than 500 surfaces and categorizes them in 38 classes of analytical surfaces. All classes are cross references to the original literature in an excellent bibliography. The encyclopedia is of particular interest to structural and civil engineers and serves as valuable reference for mathematicians.


Optimization

Author by : Jan Brinkhuis
Languange : en
Publisher by : Princeton University Press
Format Available : PDF, ePub, Mobi
Total Read : 24
Total Download : 487
File Size : 55,6 Mb
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Description : This self-contained textbook is an informal introduction to optimization through the use of numerous illustrations and applications. The focus is on analytically solving optimization problems with a finite number of continuous variables. In addition, the authors provide introductions to classical and modern numerical methods of optimization and to dynamic optimization. The book's overarching point is that most problems may be solved by the direct application of the theorems of Fermat, Lagrange, and Weierstrass. The authors show how the intuition for each of the theoretical results can be supported by simple geometric figures. They include numerous applications through the use of varied classical and practical problems. Even experts may find some of these applications truly surprising. A basic mathematical knowledge is sufficient to understand the topics covered in this book. More advanced readers, even experts, will be surprised to see how all main results can be grounded on the Fermat-Lagrange theorem. The book can be used for courses on continuous optimization, from introductory to advanced, for any field for which optimization is relevant.


Geometrical Theory Of Diffraction

Author by : V. A. Borovikov
Languange : en
Publisher by : IET
Format Available : PDF, ePub, Mobi
Total Read : 92
Total Download : 501
File Size : 49,8 Mb
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Description : This book details the ideas underlying geometrical theory of diffraction (GTD) along with its relationships with other EM theories.


Problems And Methods In Analysis

Author by : W. Krysicki
Languange : en
Publisher by : Elsevier
Format Available : PDF, ePub, Mobi
Total Read : 43
Total Download : 598
File Size : 43,7 Mb
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Description : Problems and Methods in Analysis, Volume 2 provides information pertinent to the methods of calculus. This book provides solutions to problems in analytical calculus. Organized into five chapters, this volume begins with an overview of the integration of functions that are not defined or are not bounded at a finite number of points, and with integrals in which the interval of integration is infinitely large. This text then defines the radius of curvature and provides the formula for curvature and radius of curvature. Other chapters consider the equation of tangent and normal. This book discusses as well the amplitudes of the harmonic components of a set of oscilloscope time base potentials. The final chapter deals with the Euler–Fourier formula, the Fourier series, and Dirichlet's conditions. This book is intended to be suitable for sixth form students, particularly scholarship students. First year university students who need a systematic course in calculus will also find this book useful.


Calculus

Author by : Dinesh Khattar
Languange : en
Publisher by : PHI Learning Pvt. Ltd.
Format Available : PDF, ePub, Mobi
Total Read : 48
Total Download : 623
File Size : 42,5 Mb
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Description : Written from examination point of view, this textbook provides the basic concepts of calculus to the undergraduate students of all disciplines (Honours courses) other than Mathematics (Hons.) of all Central Universities of India following Choice Based Credit System (CBCS) including University of Delhi. The text follows a student-centric approach which communicates the practical aspects of Mathematics in such a way that it drives out the common fear of learning any mathematical subject. The concepts are properly supported by illustrations followed by several varied types of examples to provide students an integrated view of theory and applications. There are about four hundred examples in this book and the concepts are explained geometrically through numerous figures. A large number of self-practice problems with hints and answers have been added in each chapter to enable students to learn. Most of the questions conform to the examination-style universities of Indian. SALIENT FEATURES • Gives step by step procedure of solving worked problems for better understanding • Includes Chapter Objectives at the beginning of each chapter. • Familiarizes students with the basic techniques of calculus used in analysing the behaviour of a function.


Integral Calculus And Applications

Author by : Anthony Nicolaides
Languange : en
Publisher by : PASS PUBLICATIONS
Format Available : PDF, ePub, Mobi
Total Read : 40
Total Download : 824
File Size : 45,8 Mb
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Golden Intergral Calculus

Author by : N. P. Bali
Languange : en
Publisher by : Firewall Media
Format Available : PDF, ePub, Mobi
Total Read : 34
Total Download : 274
File Size : 42,5 Mb
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Applied Mathematics I Au Up

Author by : Dr Shyamal Kr Banerjee
Languange : en
Publisher by : Firewall Media
Format Available : PDF, ePub, Mobi
Total Read : 35
Total Download : 796
File Size : 40,8 Mb
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A Catalog Of Special Plane Curves

Author by : J. Dennis Lawrence
Languange : en
Publisher by : Courier Corporation
Format Available : PDF, ePub, Mobi
Total Read : 84
Total Download : 947
File Size : 55,9 Mb
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Description : DIVOne of the most beautiful aspects of geometry. Information on general properties, derived curves, geometric and analytic properties of each curve. 89 illus. /div


A Collection Of Problems On A Course Of Mathematical Analysis

Author by : G. N. Berman
Languange : en
Publisher by : Elsevier
Format Available : PDF, ePub, Mobi
Total Read : 26
Total Download : 729
File Size : 54,7 Mb
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Description : A Collection of Problems on a Course of Mathematical Analysis is a collection of systematically selected problems and exercises (with corresponding solutions) in mathematical analysis. A common instruction precedes a group of problems of the same type. Problems with a physics content are preceded by the necessary physical laws. In the case of more or less difficult problems, hints are given in the answers. This book is comprised of 15 chapters and begins with an overview of functions and methods of specifying them; notation for and classification of functions; elementary investigation of functions; and trigonometric and inverse trigonometric functions. The following chapters deal with limits and tests for their existence; differential calculus, with emphasis on derivatives and differentials; functions and curves; definite and indefinite integrals; and methods of evaluating definite integrals. Some applications of the integral in geometry, statics, and physics are also considered; along with functions of several variables; multiple integrals and iterated integration; line and surface integrals; and differential equations. The final chapter is devoted to trigonometric series. This monograph is intended for students studying mathematical analysis within the framework of a technical college course.


Handbook And Atlas Of Curves

Author by : Eugene V. Shikin
Languange : en
Publisher by : CRC Press
Format Available : PDF, ePub, Mobi
Total Read : 99
Total Download : 511
File Size : 42,7 Mb
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Description : The Handbook and Atlas of Curves describes available analytic and visual properties of plane and spatial curves. Information is presented in a unique format, with one half of the book detailing investigation tools and the other devoted to the Atlas of Plane Curves. Main definitions, formulas, and facts from curve theory (plane and spatial) are disc


Encyclopaedia Britannica

Author by : Anonim
Languange : en
Publisher by : Unknown
Format Available : PDF, ePub, Mobi
Total Read : 78
Total Download : 551
File Size : 44,7 Mb
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Description :


Elementary Differential Geometry

Author by : A.N. Pressley
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 87
Total Download : 674
File Size : 44,9 Mb
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Description : Pressley assumes the reader knows the main results of multivariate calculus and concentrates on the theory of the study of surfaces. Used for courses on surface geometry, it includes intersting and in-depth examples and goes into the subject in great detail and vigour. The book will cover three-dimensional Euclidean space only, and takes the whole book to cover the material and treat it as a subject in its own right.