الصفحة 46
الصفحة 46
A Natural Introduction to Probability Theory
According to Leo Breiman (1968), probability theory has a right and a left hand. The right hand refers to rigorous mathematics, and the left hand refers to ‘pro- bilistic thinking’. The combination of these two aspects makes probability theory one of the most exciting ?elds in mathematics. One can study probability as a purely mathematical enterprise, but even when you do that, all the concepts that arisedo haveameaningontheintuitivelevel.Forinstance,wehaveto de?newhat we mean exactly by independent events as a mathematical concept, but clearly, we all know that when we ?ip a coin twice, the event that the ?rst gives heads is independent of the event that the second gives tails.
A Modern Approach to Intelligent Animation : Theory and Practice
Part of the new series, Advanced Topics in Science and Technology in China, this book discusses concepts, theory, and core technologies of intelligent theory and human animation, including video based human animation, and intelligent technology of motion data management and reusing. It introduces systems developed to demonstrate the technologies of video based animation. Each chapter is independent. Lively pictures and demos will be presented to make the theory and technologies more understandable.
A History of Abstract Algebra
This presentation provides an account of the intellectual lineage behind many of the basic concepts, results, and theories of abstract algebra.The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared unsolvable by classical means. A major theme of the approach in this book is to show how abstract algebra has arisen in attempts to solve some of these classical problems, providing context from which the reader may gain a deeper appreciation of the mathematics involved.
A Geometric Approach to Differential Forms
The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions. A centerpiece of the text is the generalized Stokes' theorem. Although this theorem implies all of the classical integral theorems of vector calculus, it is far easier for students to both comprehend and remember.
A First Course in Statistics for Signal Analysis
This essentially self-contained, deliberately compact, and user-friendly textbook is designed for a first, one-semester course in statistical signal analysis for a broad audience of students in engineering and the physical sciences. The emphasis throughout is on fundamental concepts and relationships in the statistical theory of stationary random signals, explained in a concise, yet fairly rigorous presentation.
A First Course in Statistical Inference
Offers a modern and accessible introduction to Statistical Inference, the science of inferring key information from data. Aimed at beginning undergraduate students in mathematics, it presents the concepts underpinning frequentist statistical theory. Written in a conversational and informal style, this concise text concentrates on ideas and concepts, with key theorems stated and proved. Detailed worked examples are included and each chapter ends with a set of exercises, with full solutions given at the back of the book. Examples using R are provided throughout the book, with a brief guide to the software included. Topics covered in the book include: sampling distributions, properties of estimators, confidence intervals, hypothesis testing, ANOVA, and fitting a straight line to paired data.
A Field Guide to Algebra
Focuses on the structure of fields and is intended for a second course in abstract algebra. Besides providing proofs of the transcendance of pi and e, the book includes material on differential Galois groups and a proof of Hilbert's irreducibility theorem. The reader will hear about equations, both polynomial and differential, and about the algebraic structure of their solutions. In explaining these concepts, the author also provides comments on their historical development and leads the reader along many interesting paths. In addition, there are theorems from analysis: as stated before, the transcendence of the numbers pi and e, the fact that the complex numbers form an algebraically closed field, and also Puiseux's theorem that shows how one can parametrize the roots of polynomial equations, the coefficients of which are allowed to vary. There are exercises at the end of each chapter, varying in degree from easy to difficult. To make the book more lively, the author has incorporated pictures from the history of mathematics, including scans of mathematical stamps and pictures of mathematicians.
A dictionary of law
A Dictionary of Law' is an essential reference work, described by leading university lecturers as 'the best law dictionary' and favoured by law students and legal professionals alike. The tenth edition features over 4,900 clear and concise definitions on major terms, concepts, and processes within the English legal system, and is a useful source of information for any of the many countries that base their legal system on English law.
A Course on Mathematical Logic
This is a short, distinctive, modern, and motivated introduction to mathematical logic for senior undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in knowing what logic is concerned with and who would like to learn Gödel’s incompleteness theorems should find this book particularly convenient. The treatment is thoroughly mathematical, and the entire subject has been approached like a branch of mathematics. Serious efforts have been made to make the book suitable for the classroom as well as for self-reading. The book does not strive to be a comprehensive encyclopedia of logic. Still, it gives essentially all the basic concepts and results in mathematical logic. The book prepares students to branch out in several areas of mathematics related to foundations and computability such as logic, axiomatic set theory, model theory, recursion theory, and computability.
A Course in Calculus and Real Analysis
Provides a self-contained and rigorous introduction to calculus of functions of one variable. The presentation and sequencing of topics emphasizes the structural development of calculus. At the same time, due importance is given to computational techniques and applications. The authors have strived to make a distinction between the intrinsic definition of a geometric notion and its analytic characterization. It highlight the fact that calculus provides a firm foundation to several concepts and results that are generally encountered in high school and accepted on faith. For example, one can find here a proof of the classical result that the ratio of the circumference of a circle to its diameter is the same for all circles. Also, this book helps get a clear understanding of the concept of an angle and the definitions of the logarithmic, exponential and trigonometric functions together with a proof of the fact that these are not algebraic functions. A number of topics that may have been inadequately covered in calculus courses and glossed over in real analysis courses are treated here in considerable detail. As such, this book provides a unified exposition of calculus and real analysis.
A Computer Scientists Guide to Cell Biology
Provides a succinct treatment of the general concepts of cell biology, furnishing the computer scientist with the tools necessary to read and understand current literature in the field.After a brief introduction to cell biology, the text focuses on the principles behind the most-widely used experimental procedures and mechanisms, relating them to well-understood concepts in computer science. The presentation of the material has been prepared for the reader’s quick grasp of the topic: comments on nomenclature and background notes can be ascertained at a glance, and essential vocabulary is boldfaced throughout the text for easy identification.
A Companion to Contemporary Drawing
Textbook on the power, condition, and expanse of contemporary fine art drawing. his textbook: Demonstrates ways contemporary issues and concerns are addressed through drawing / Reveals how drawing is used to make powerful social and political statements / Situates works by contemporary practitioners within the context of their historical moment / Explores how contemporary art practices utilize drawing as both process and finished artifact / Shows how concepts of observation, representation, and audience have changed dramatically in the digital era / Establishes drawing as a mode of thought
40 Puzzles and Problems in Probability and Mathematical Statistics
"40 Puzzles and Problems in Probability and Mathematical Statistics" is intended to teach the reader to think probabilistically by solving challenging, non-standard probability problems. The motivation for this clearly written collection lies in the belief that challenging problems help to develop, and to sharpen, our probabilistic intuition much better than plain-style deductions from abstract concepts. The selected problems fall into two broad categories. Problems related to probability theory come first, followed by problems related to the application of probability to the field of mathematical statistics. All problems seek to convey a non-standard aspect or an approach which is not immediately obvious.
3D-Position Tracking and Control for All-Terrain Robots
Rough terrain robotics is a fast evolving field of research and a lot of effort is deployed towards enabling a greater level of autonomy for outdoor vehicles. This book demonstrates how the accuracy of 3D position tracking can be improved by considering rover locomotion in rough terrain as a holistic problem. In this work, a mechanical structure allowing smooth motion across obstacles with limited wheel slip is used. In particular, it enables the use of odometry and inertial sensors to improve the position estimation in rough terrain. A method for computing 3D motion increments based on the wheel encoders and chassis state sensors is developed. The algorithm runs online and can be adapted to any kind of passive wheeled rover. Finally, sensor fusion using 3D-Odometry, inertial sensors and visual motion estimation based on stereovision is presented. The experimental results demonstrate how each sensor contributes to increase the accuracy and robustness of the 3D position estimation.
3D Printing in Oral Health Science : Applications and Future Directions
Equips readers with a sound understanding of contemporary clinical applications in all fields of dentistry and their future directions. In the last few years, the development of 3D printing for medical and dental applications has increased tremendously. Advancements in 3D printing create the possibility of customized products, savings on small-scale productions, ease of sharing and processing of patient image data, and educational up-gradation. Looking at the dental specialties, it is evident that 3D printing has applications in all aspects of oral health science including prosthodontics, oral surgery, periodontics, endodontics, and orthodontics. This book will cover all major fields in dentistry and will help the practitioner in the process of decision-making and apply concepts in clinical or laboratory practice. It is based on current scientific evidence to provide readers with an up-to-date contemporary underst
2022 CFA Program Curriculum Level II Box Set
Highly visual and intuitively organized, this box set allows you to: Learn from financial thought leaders / Access market-relevant instruction / Gain critical knowledge and skills / The set also includes practice questions to assist with your recall of key terms, concepts, and formulas.
2022 CFA Program Curriculum Level I Box Set
Highly visual and intuitively organized, this box set allows you to: Learn from financial thought leaders / Access market-relevant instruction / Gain critical knowledge and skills / The set also includes practice questions to assist with your recall of key terms, concepts, and formulas.
150 Best New Bathroom Ideas
Showcasing an extensive collection of designs and style, captured in stunning full-color photos, 150 Best New Bathroom Ideas provides an in-depth review of outstanding bathroom designs from internationally renowned architects and designers. Here are the most attractive, functional, and cost-effective bathroom concepts from around the world. Practical yet beautiful and stylish, 150 Best New Bathroom Ideas includes innovative ideas for lighting, floor, wall, and window treatments, and for showers, toilets, sinks, and bathtubs. An essential design and decorating reference, 150 Best New Bathroom Ideas covers the diversity of current trends and is an inspirational source for homeowners, designers, interior decorators, and architects.
104 Number Theory Problems : From the Training of the USA IMO Team
This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas, conjectures, and conclusions in writing. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.
.NET 2.0 for Delphi Programmers
.NET 2.0 for Delphi Programmers explores .NET from a Delphi programmers viewpoint, and it is ideal for Delphi programmers moving to .NET. It presents the core concepts of the .NET world in terms you are familiar with. This book will help you with Delphi for .NET as well as C#. Apress publishes migration books for both Visual Basic 6 and C++ programmers moving to .NET. Consider this the Delphi installment of Apress migration books! There is ample coverage of C# as well as Delphi for .NET inside this edition.
