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Mathematical and Computer Programming Techniques for Computer Graphics introduces the mathematics and related computer programming techniques used in Computer Graphics. Starting with the underlying mathematical ideas, it gradually leads the reader to a sufficient understanding of the detail to be able to implement libraries and programs for 2D and 3D graphics. Using lots of code examples, the reader is encouraged to explore and experiment with data and computer programs (in the C programming language) and to master the related mathematical techniques.A simple but effective set of routines are included, organised as a library, covering both 2D and 3D graphics - taking a parallel approach to mathematical theory, and showing the reader how to incorporate it into example programs. This approach both demystifies the mathematics and demonstrates its relevance to 2D and 3D computer graphics.

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The aim of this graduate-level textbook is to present and explain, at other than a superficial level, modem ab initio approaches to the calculation of the electronic structure and properties of molecules. The first three chapters contain introductory material culminating in a thorough discussion of the Hartree-Fock approximation.The remaining four chapters describe a variety of more sophisticated approaches, which improve upon this approximation.Among the highlights of the seven chapters are (1) a review of the mathematics (mostly matrix algebra) required for the rest of the book, (2) an introduction to the basic techniques, ideas, and notations of quantum chemistry, (3) a thorough discussion of the Hartree-Fock approximation, (4) a treatment of configuration interaction (Cl) and approaches incorporating electron correlation, (5) a description of the independent electron pair approximation and a variety of more sophisticated approaches that incorporate coupling between pairs, (6) a consideration of the perturbative approach to the calculation of the correlation energy of many-electron systems and (7) a brief introduction to the use of the one-particle many-body Green's function in quantum chemistry.Over 150 exercises, designed to help the reader acquire a working knowledge of the material, are embedded in the text. The book is largely self-contained and requires no prerequisite other than a solid undergraduate physical chemistry course; however, some exposure to quantum chemistry will enhance the student's appreciation of the material. Clear and well-written, this text is ideal for the second semester of a two-semester course in quantum chemistry, or for a special topics course.

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63,99 € *

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This text, designed for beginning students of stellar physics, introduces the fundamentals of stellar structure and evolution. In emphasizing the general picture of the life cycles of stars and the physics responsible, it also allows prospective specialists a taste of many of the detailed aspects of this mature discipline. The authors develop a solid foundation in important theory that is often overlooked in typical courses, yet steer clear of extraneous intensive mathematics and physics. Topics include nuclear physics and stellar energy sources, the equation of state of stellar material, phenomenoligical approaches to convection, and modern numerical techniques for computation of stellar evolution. Keeping pace with recent developments, the authors incorporate important elements such as asteroseismology, and the effects of rotation and magnetic fieldsThe?rsteditionofthistextappearedin1994.Shortlyafterthethirdprinting, our editor suggested that we attempt a second edition because new devel- mentsinstellarstructureandevolutionhadmadeouroriginalworkoutdated. We (the original authors, CJH and SDK) reluctantly agreed but with res- vations due to the e?ort involved. Our initial reluctance disappeared when we were able to convince (cajole, twist the arm of, etc.) our new coauth- colleague Virginia Trimble to join us. (Welcome Virginia!) We (i.e., all three of us) hope that you agree that the present edition is a great improvement compared to the 1994 e?ort. Our objectives in this edition are the same ones we set forth in 1994: Whatyouwill?ndisatextdesignedforourtargetaudience:thety- cal senior undergraduate or beginning graduate student in astronomy or astrophysics who wishes an overview of stellar structure and e- lution with just enough detail to understand the general picture. She or he can go on from there to more specialized texts or directly to the research literature depending on talent and interests. To this end, this text presents the basic physical principles without chasing all the (interesting!) details. For those of you familiar with the ?rst edition, you will ?nd that some things have not been changed substantially (F = ma is still F = ma), while othersde?nitelyhave.Forexample,Chapter2hasbeencompletelyrewritten.

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49,00 € *

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This book whose focus is on the promising practicesof using technology in teaching isintended for researchers, school administrators, andteachers of mathematics and science.It explicates the characteristics associated with thepractice, highlighted the resourcesavailable to the schools involved in the study andhow the resources are utilized, exploredthe challenges, and pinpointed the positiveeducational outcomes that come with thepractice of using technology to teach mathematics andscience. School administrators(principal, assistants, and technology specialists)should find the book useful becausethey can incorporate the insights and suggestionsmade throughout the book in thetechnology program of their school. Those interestedin establishing a new school thatwill utilize technology in teaching will also findthe book useful in terms of a curriculumand instructional practices to guide the school sprogram. The model of networking andcollaboration among teachers in their professionaldevelopment activities shouldparticularly be useful for teachers in both publicand private schools. Researchers canalso replicate this study.

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Thinking is the most precious cognitive ability with which man is elevated among all animal.Thinking has several kinds and each kind has several components.This book has given a clear analysis of the different kinds of thinking and focuses on the Impact of Critical Thinking Skills on achievement in Mathematics at secondary school.Critical Thinking Skills in mathematics is the ability and disposition to incorporate prior knowledge,mathematical reasoning and cognitive strategies to generalise,prove or evaluate unfamiliar mathematical situations in a classroom for reflective manner.Students must be stimulated to think critically on their own to resolve dilemmas,take stands on issues,judge propositions about knowledge or ideas at school level.Successful mathematics teaching and learning process involves practice of critical thinking skills through Mathematics.The mathematics teacher should make sincere and consistent effort in acquiring and developing abilities and skills by learners in the classrooms.

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Graphing calculators are a mainstay in the U.S. high school mathematics curriculum and because of that considerable research has been done on their effect in the mathematics classroom. While much of this work has focused on the impact of graphing calculator use on achievement and attitude, little has been done to address how students use the graphing calculator when they are working in independent situations or their perceptions of how the graphing calculator impacts their mathematical experience. As such, the work in this book provides a new lens through which to view graphing calculator use, the lens of the student. Six case studies of high school calculus students, their words and their actions, provide insight into the reasons why and the ways with which these students incorporate graphing calculator use in their independent mathematics activity. The results of the study will be of interest to both mathematics teachers and mathematics education researchers who are interested in the role that technology plays in students mathematical activity.

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67,90 € *

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In mathematics and computer science, an algorithm is a self-contained step-by-step set of operations to be performed. Algorithms perform calculation, data processing, and/or automated reasoning tasks. An algorithm is an effective method that can be expressed within a finite amount of space and time and in a well-defined formal language for calculating a function.Starting from an initial state and initial input (perhaps empty),the instructions describe a computation that, when executed, proceeds through a finite number of well-defined successive states, eventually producing "output"and terminating at a final ending state. The transition from one state to the next is not necessarily deterministic, some algorithms, known as randomized algorithms, incorporate random input.

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