Basic mathematics

Basic Engineering Mathematics, 4th Edition introduces and then consolidates basic mathematical principles and promotes awareness of mathematical concepts for students needing a broad base for further vocational studies. In this fourth edition, new material has been added on engineering notation, inequalities, graphs with logarithmic scales and adding waveforms, together with extra practical problems interspersed throughout the text.

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We propose to write a text on ordinary differential equations that will be meaningful, accessible, and engaging for a student with a basic grounding in calculus (for example, the student who has studied Calculus Demystified by this author will be more than ready for Differential Equations Demystified). There will be many applications, many graphics, a plethora of worked examples, and hundreds of stimulating exercises. The student who completes this book will be ready to go on to advanced analytical work in applied mathematics, engineering, and other fields of mathematical science.

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Cryptography is concerned with the conceptualization, definition, and construction of computing systems that address security concerns. The design of cryptographic systems must be based on firm foundations. This book presents a rigorous and systematic treatment of the foundational issues: defining cryptographic tasks and solving new cryptographic problems using existing tools. It focuses on the basic mathematical tools: computational difficulty (one-way functions), pseudorandomness, and zero-knowledge proofs.

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This book is for people who want to get acquainted with the concepts of basic geometry without taking a formal course. It can serve as a supplemental text in a classroom, tutored, or home-schooling environment. It should also be useful for career changers who need to refresh their knowledge of the subject. I recommend that you start at the beginning of this book and go straight through. This is not a rigorous course in theoretical geometry. Such a course defines postulates (or axioms) and provides deductive proofs of statements called theorems by applying mathematical logic.

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Ebook "Pre algebra demystified: A self teaching guide" presents the basic topics in arithmetic and introductory algebra in a logical, easy-to-read format. This book can be used as an independent study course or as a supplement to a pre-algebra course. To learn mathematics, you must know the vocabulary, understand the rules and procedures, and be able to apply these rules and procedures to mathematical problems in order to solve them. This book is written in a style that will help you with learning. Important terms have been bold faced, and important rules and procedures have been italicized.

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In this book you will find the basics of probability theory and statistics. In addition, there are several topics that go somewhat beyond the basics but that ought to be present in an introductory course: simulation, the Poisson process, the law of large numbers, and the central limit theorem. Computers have brought many changes in statistics. In particular, the bootstrap has earned its place. It provides the possibility to derive confidence intervals and perform tests of hypotheses where traditional (normal approximation or large sample) methods are inappropriate.

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This book is for people who want to get acquainted with the concepts of basic trigonometry without taking a formal course. It can serve as a supple- mental text in a classroom, tutored, or home-schooling environment. It should also be useful for career changers who need to refresh their knowledge of the subject. This is not a rigorous course in theoretical trigonometry. Such a course defines postulates (or axioms) and provides deductive proofs of statements called theorems by applying mathematical logic. Proofs are generally omitted in this book for the sake of simplicity and clarity.

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At appropriate places, the book "Human reliability and error in transportation systems (2007)" contains examples along with their solutions and at the end of each chapter there are numerous problems to test reader comprehension. This will allow the volume to be used as a text. An extensive list of references on human reliability and error in transportation systems is provided at the end of the book, to give readers a view of the intensity of developments in the area. The book is composed of 11 chapters.

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Part 1 book "Electrical pre-apprenticeship and workforce development manual" includes content: A career in the electrical trade, professional behavior and study skills, safety, mathematics and the metric system, basic concepts of electricity and magnetism, electrical theory, introduction to the national electrical code (NEC), grounding.

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Part 2 book "Electrician's pocket manual" includes content: Hazardous locations equipment, programmable controllers, wiring for telephone installation, basic mathematics and measurement conversion, estimating a job, electrical and electronic formulas, basic electronics, how to measure.

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Part 1 book "Electricity and electronics for renewable energy technology - An introduction" includes content: Energy and electricity, basic mathematics and systems of measurement units, atomic structure of materials, DC and DC electricity; voltage, current, and power; DC circuits relationships; DC motors and generators; AC circuits relationships, three phase systems, transformers.

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Lecture "Database management and tuning: Unit 1 - Introduction" provides students with content about: Course organization; Introduction to database Tuning; Basic principles of tuning; Conclusion. Please refer to the detailed content of the lecture!

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Part 1 book "Electrical safety of low-voltage systems" includes content: Basic definitions and nomenclature, fundamentals of electrical safety, mathematical principles of electrical safety , the earth, effects of electric currents passing through the human body, and safety requirements, TT grounding system, grounding system.

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Part 1 book "Electrical circuit theory and technology" includes contents: Some mathematics revision, further mathematics revision, units associated with basic electrical quantities, an introduction to electric circuits, resistance variation, batteries and alternative sources of energy, series and parallel networks, capacitors and capacitance, magnetic circuits, electromagnetism, electromagnetic induction, electrical measuring instruments and measurements, semiconductor diodes, transistors,... and other contents.

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Probability and Computer science - Lecture 1: Introduction to probability. This lecture provides students with content including: mathematical tools to deal with uncertain events; applications include; combinatorial analysis; counting; axioms of probability; conditional probability and inference;... Please refer to the detailed content of the lecture!

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The aim of this qualitative case study is to investigate prospective mathematics teachers’ subject matter knowledge of the underlying concepts of standard and nonstandard algorithms used to solve the problems with whole numbers. Twenty three prospective mathematics teachers enrolled in the Elementary Mathematics Education Program of one of the most successful universities in Turkey were the participants of the study.

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The study aims at investigating basic level schoolteachers' awareness of their students' mathematics learning disability (MLD) in the context of Nepal. It is based on a mixed-method research design in that it combines both qualitative and quantitative approaches as appropriate.

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This study aimed to determine the effect of cognitive and affective factors on the performance of prospective mathematics teachers. Cognitive factors include cognitive independence level and working memory capacity, while affective factor include math anxiety. Mathematical performance was then assessed as basic math skills, advanced math skills and problem-solving ability.

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The skill to solve mathematical problems facilitates students to develop their basic skills to solve problems in daily life. This study analyzes students' problem-solving process with a reflective cognitive style in constructing probability problems using action, process, object, and schema theory (APOS).

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Ebook "Homological dimensions of modules" were prepared for a series of ten lectures given at Regional Conference of the Conference Board of the Mathematical Sciences in June 1971. The bulk of the lectures were on projective dimensions of "very large" modules. Although the material in these notes is not new, there are several places where existing work has been simplified. For example, a commutative local nondomain of global dimension 3 is described without reference to analysis, and the dimension of a quotient field of a polynomial ring rather than a regular local ring is calculated.

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