Fundamentals of University Mathematics Book

Fundamentals of University Mathematics


  • Author : Colin McGregor
  • Publisher : Elsevier
  • Release Date : 2010-10-20
  • Genre: Mathematics
  • Pages : 568
  • ISBN 10 : 9780857092243
  • Total Read : 62
  • File Size : 12,5 Mb

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Fundamentals of University Mathematics Summary:

The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics. Expertly revised and updated, the chapters cover topics such as number systems, set and functions, differential calculus, matrices and integral calculus. Worked examples are provided and chapters conclude with exercises to which answers are given. For students seeking further challenges, problems intersperse the text, for which complete solutions are provided. Modifications in this third edition include a more informal approach to sequence limits and an increase in the number of worked examples, exercises and problems. The third edition of Fundamentals of university mathematics is an essential reference for first year university students in mathematics and related disciplines. It will also be of interest to professionals seeking a useful guide to mathematics at this level and capable pre-university students. One volume, unified treatment of essential topics Clearly and comprehensively covers material beyond standard textbooks Worked examples, challenges and exercises throughout

Fundamentals of Teaching Mathematics at University Level Book

Fundamentals of Teaching Mathematics at University Level


  • Author : B Baumslag
  • Publisher : World Scientific
  • Release Date : 2000-02-28
  • Genre: Mathematics
  • Pages : 260
  • ISBN 10 : 9781783261772
  • Total Read : 73
  • File Size : 11,6 Mb

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Fundamentals of Teaching Mathematics at University Level Summary:

This unique book presents a personal and global approach to teaching mathematics at university level. It is impressively broad in its scope, and thought-provoking in its advice. The author writes with a love of his subject and the benefit of a long and varied career. He compares and contrasts various educational systems and philosophies. Furthermore, by constantly drawing on his own experiences and those of his colleagues, he offers useful suggestions on how teachers can respond to the problems they face. This book will interest educationalists, policy advisers, administrators, lecturers, and instructors of lecturers. Contents:Education Systems in BriefThe Expansion of EducationAimsUniversities and GovernmentTeachingStudy SkillsRules of TeachingOrganisation and ExaminationsPlanningMethods of Teaching and EquipmentLecturer's ApproachSome Practical PointsAssessment of Teaching Readership: Academics and lecturers involved in mathematics teaching at higher education level. Keywords:Mathematics Education;University Mathematics;EducationReviews:“The book contains many sensible ideas on how teaching and learning should be organised. In particular the author emphasizes that to improve the quality of teaching the whole department should work together and that programmes should be carefully planned … this book is an excellent overview of mathematics teaching at university level and I would recommend it to anyone interested in pedagogical issues.”

Fundamentals of Discrete Math for Computer Science Book

Fundamentals of Discrete Math for Computer Science


  • Author : Tom Jenkyns
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-10-16
  • Genre: Computers
  • Pages : 416
  • ISBN 10 : 9781447140696
  • Total Read : 83
  • File Size : 8,7 Mb

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Fundamentals of Discrete Math for Computer Science Summary:

This textbook provides an engaging and motivational introduction to traditional topics in discrete mathematics, in a manner specifically designed to appeal to computer science students. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Clearly structured and interactive in nature, the book presents detailed walkthroughs of several algorithms, stimulating a conversation with the reader through informal commentary and provocative questions. Features: no university-level background in mathematics required; ideally structured for classroom-use and self-study, with modular chapters following ACM curriculum recommendations; describes mathematical processes in an algorithmic manner; contains examples and exercises throughout the text, and highlights the most important concepts in each section; selects examples that demonstrate a practical use for the concept in question.

Fundamentals of Mathematics Book
Score: 5
From 1 Ratings

Fundamentals of Mathematics


  • Author : Denny Burzynski
  • Publisher : Unknown
  • Release Date : 1989
  • Genre: Arithmetic
  • Pages : 544
  • ISBN 10 : 0030294894
  • Total Read : 78
  • File Size : 9,9 Mb

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Fundamentals of Mathematics Summary:

Fundamentals of Technical Mathematics Book

Fundamentals of Technical Mathematics


  • Author : Sarhan M. Musa
  • Publisher : Academic Press
  • Release Date : 2015-10-16
  • Genre: Mathematics
  • Pages : 408
  • ISBN 10 : 9780128020166
  • Total Read : 91
  • File Size : 17,9 Mb

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Fundamentals of Technical Mathematics Summary:

Fundamentals of Technical Mathematics introduces key, applied mathematics for engineering technologists and technicians. Through a simple, engaging approach, the book reviews basic mathematics, including whole numbers, fractions, mixed numbers, decimals, percentages, ratios, and proportions. The book covers conversions to different units of measure (standard and/or metric) and other topics as required by specific businesses and industries, providing a go-to resource on the topic. Building on these foundations, it then explores concepts in arithmetic, introductory algebra, equations, inequalities, and modeling, graphs and functions, measurement, geometry, and trigonometry, all the while supporting these concepts with practical applications in a variety of technical and career vocations, including automotive, allied health, welding, plumbing, machine tool, carpentry, auto mechanics, HVAC, and many other fields. In addition, the book provides practical examples from a vast number of technologies. Presents foundational math concepts in a concise, engaging way Covers conversions to different units of measure (standard and/or metric) and other topics as required by specific businesses and industries Reviews basic mathematics, including whole numbers, fractions, mixed numbers, decimals, percentages, ratios, and proportions Connects concepts with recent applications in technology, engineering, manufacturing, and science Includes many practice and review problems

Fundamentals of Mathematical Analysis Book

Fundamentals of Mathematical Analysis


  • Author : Adel N. Boules
  • Publisher : Oxford University Press, USA
  • Release Date : 2021-03-09
  • Genre: Mathematics
  • Pages : 480
  • ISBN 10 : 9780198868781
  • Total Read : 69
  • File Size : 8,7 Mb

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Fundamentals of Mathematical Analysis Summary:

Fundamentals of Mathematical Analysis explores real and functional analysis with a substantial component on topology. The three leading chapters furnish background information on the real and complex number fields, a concise introduction to set theory, and a rigorous treatment of vector spaces. Fundamentals of Mathematical Analysis is an extensive study of metric spaces, including the core topics of completeness, compactness and function spaces, with a good number of applications. The later chapters consist of an introduction to general topology, a classical treatment of Banach and Hilbert spaces, the elements of operator theory, and a deep account of measure and integration theories. Several courses can be based on the book. This book is suitable for a two-semester course on analysis, and material can be chosen to design one-semester courses on topology or real analysis. It is designed as an accessible classical introduction to the subject and aims to achieve excellent breadth and depth and contains an abundance of examples and exercises. The topics are carefully sequenced, the proofs are detailed, and the writing style is clear and concise. The only prerequisites assumed are a thorough understanding of undergraduate real analysis and linear algebra, and a degree of mathematical maturity.

Fundamentals of Linear Algebra Book

Fundamentals of Linear Algebra


  • Author : J.S. Chahal
  • Publisher : CRC Press
  • Release Date : 2018-12-07
  • Genre: Mathematics
  • Pages : 228
  • ISBN 10 : 9780429758102
  • Total Read : 95
  • File Size : 19,5 Mb

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Fundamentals of Linear Algebra Summary:

Fundamentals of Linear Algebra is like no other book on the subject. By following a natural and unified approach to the subject it has, in less than 250 pages, achieved a more complete coverage of the subject than books with more than twice as many pages. For example, the textbooks in use in the United States prove the existence of a basis only for finite dimensional vector spaces. This book proves it for any given vector space. With his experience in algebraic geometry and commutative algebra, the author defines the dimension of a vector space as its Krull dimension. By doing so, most of the facts about bases when the dimension is finite, are trivial consequences of this definition. To name one, the replacement theorem is no longer needed. It becomes obvious that any two bases of a finite dimensional vector space contain the same number of vectors. Moreover, this definition of the dimension works equally well when the geometric objects are nonlinear. Features: Presents theories and applications in an attempt to raise expectations and outcomes The subject of linear algebra is presented over arbitrary fields Includes many non-trivial examples which address real-world problems About the Author: Dr. J.S. Chahal is a professor of mathematics at Brigham Young University. He received his Ph.D. from Johns Hopkins University and after spending a couple of years at the University of Wisconsin as a post doc, he joined Brigham Young University as an assistant professor and has been there ever since. He specializes and has published a number of papers about number theory. For hobbies, he likes to travel and hike, the reason he accepted the position at Brigham Young University

Fundamentals of Mathematical Logic Book

Fundamentals of Mathematical Logic


  • Author : Peter G. Hinman
  • Publisher : CRC Press
  • Release Date : 2018-10-08
  • Genre: Mathematics
  • Pages : 894
  • ISBN 10 : 9781351991759
  • Total Read : 85
  • File Size : 15,6 Mb

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Fundamentals of Mathematical Logic Summary:

This introductory graduate text covers modern mathematical logic from propositional, first-order and infinitary logic and Gödel's Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory. Based on the author's more than 35 years of teaching experience, the book develops students' intuition by presenting complex ideas in the simplest context for which they make sense. The book is appropriate for use as a classroom text, for self-study, and as a reference on the state of modern logic.