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The first large-scale study of the development of vectorial systems, awarded a special prize for excellence in 1992 from France's prestigious Jean Scott Foundation. Traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers created by Hamilton and Grassmann to the final acceptance around 1910 of the modern system of vector analysis. Concentrates on vector addition and subtraction, the forms of vector multiplication, vector division (in those systems where it occurs), and the specification of vector types. 1985 corrected edition of 1967 original.
This text introduces engineering students to probability theory and stochastic processes. Along with thorough mathematical development of the subject, the book presents intuitive explanations of key points in order to give students the insights they need to apply math to practical engineering problems. The first seven chapters contain the core material that is essential to any introductory course. In one-semester undergraduate courses, instructors can select material from the remaining chapters to meet their individual goals. Graduate courses can cover all chapters in one semester.
Maths Progress Support Books are part of the series that develops reasoning, fluency and problem-solving to boost students' confidence at Key Stage 3 and give them the best preparation for progressing to GCSE study. The Support Books provide scaffolding and support on key concepts for each lesson in the Core Textbook, giving students the mathematical foundations they need to progress with confidence. Also available in the series: Core Textbooks that cover the whole KS3 curriculum with a focus on pace, linking topics and building on concepts to develop reasoning, fluency and problem-solving skills Depth Books that deepen students' understanding of key concepts for each Lesson in the Core Textbook Purposeful Practice Books fully aligned to the course and based on cutting-edge approaches such as minimal variation and small steps to help students make the most of practice
Exam Board: Edexcel Level: A level Subject: Further Mathematics First teaching: September 2017 First exams: Summer 2019 With over 1.3 million copies sold of the previous edition, Pearson's textbooks are the market-leading and most trusted resources for AS and A level Further Mathematics. This book can be used alongside the Year 1 book to cover all the content needed for the compulsory Edexcel A level Core Pure Mathematics exams. Fully updated to match the 2017 specifications, with more of a focus on problem-solving and modelling. FREE additional online content to support your independent learning, including full worked solutions for every question in the book (SolutionBank) and GeoGebra interactives. Includes access to an online digital edition (valid for 3 years once activated). Includes worked examples with guidance, lots of exam-style questions, practice papers, and plenty of mixed and review exercises.
Unleash your full potential. Take control of your financial future. At twenty years of age, Samuel Leach was studying at university. He appeared to be a typical student, but there was something different about him. Whilst his classmates were engrossed in their studies, as well as their burgeoning social lives, Samuel was adding another facet to his education. He was teaching himself the science and art of trading. With nothing more than a boxer's heart and drive, Samuel turned 2k into 178k in his first year, and a few short years later, he rose to global renown by building his new enterprise to become a multi-million-pound trading business. From delivering an acclaimed TedTalk to running webinars, events, conferences, and training over 2,000 people from over 90 countries, Samuel's list of achievements continues to grow. The obvious question is how did he accomplish so much in such a short period of time? Samuel Leach's secret to success is understanding the patterns and algorithms of the financial system. These same principles can be applied to life skills and general business skills alike. The Formula for Success will show you how. This insightful book will show you how analysing patterns, mapping behaviours and seeing the potential in your unique talents can lead to success. Learning practical lessons drawn from Samuel's first-hand experiences, you will discover how to apply his formula to your life. This inspiring, valuable book will help you: Apply the principles of algorithms and pattern-recognition to any and all areas of your personal and financial life Join the scores of teachers, postal workers, firefighters and many other hard-working members of society who have found prosperity and success with Samuel's help Understand the fundamental principles of algorithms without complex maths and confusing theory Learn how to identify and strengthen the attributes that are vital for success The Formula for Success: How to Win at Life Using Your Own Personal Algorithm is the first step toward personal, professional and financial achievement.
This is the first text in a generation to re-examine the purpose of the mathematical statistics course. The book's approach interweaves traditional topics with data analysis and reflects the use of the computer with close ties to the practice of statistics. The author stresses analysis of data, examines real problems with real data, and motivates the theory. The book's descriptive statistics, graphical displays, and realistic applications stand in strong contrast to traditional texts that are set in abstract settings.
The subject of this thesis is the Mu-calculus, which nowadays represents a very active research area in both theoretical and practical Computer Science. The Mu-calculus is a logic capable of expressing least and greatest solutions of fixpoint equations x=f(x), where f is a monotone function mapping some complete ordered set into itself. The thesis has two goals, one expository and one technical. The expository goal is to present some results and problems about the Mu-calculus. On the technical respect, this thesis addresses a specific expressiveness problem of the Mu-calculus, the alternation depth hierarchy problem.
The tenth edition of this bestselling text includes examples in more detail and more applied exercises; both changes are aimed at making the material more relevant and accessible to readers. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. It goes into the following topics at great depth differential equations, partial differential equations, Fourier analysis, vector analysis, complex analysis, and linear algebra/differential equations.
A comprehensive study of the historic development of division in extreme and mean ratio ("the golden number"), this text traces the concept's development from its first appearance in Euclid's Elements through the 18th century. The coherent but rigorous presentation offers clear explanations of DEMR's historical transmission, poses controversial views on the concept's relationship to other mathematical topics, and features numerous illustrations.
This book explores cognitive behavior among Internet of Things. Using a series of current and futuristic examples - appliances, personal assistants, robots, driverless cars, customer care, engineering, monetization, and many more - the book covers use cases, technology and communication aspects of how machines will support individuals and organizations. This book examines the Cognitive Things covering a number of important questions: * What are Cognitive Things? * What applications can be driven from Cognitive Things - today and tomorrow? * How will these Cognitive Things collaborate with each and other, with individuals and with organizations? * What is the cognitive era? How is it different from the automation era? * How will the Cognitive Things support or accelerate human problem solving? * Which technical components make up cognitive behavior? * How does it redistribute the work-load between humans and machines? * What types of data can be collected from them and shared with external organizations? * How do they recognize and authenticate authorized users? How is the data safeguarded from potential theft? Who owns the data and how are the data ownership rights enforced? Overall, Sathi explores ways in which Cognitive Things bring value to individuals as well as organizations and how to integrate the use of the devices into changing organizational structures. Case studies are used throughout to illustrate how innovators are already benefiting from the initial explosion of devices and data. Business executives, operational managers, and IT professionals will understand the fundamental changes required to fully benefit from cognitive technologies and how to utilize them for their own success.
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