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Fundamentals Of University Mathematics

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Fundamentals of University Mathematics

Fundamentals of University Mathematics Book
Author : Colin McGregor,Jonathan Nimmo,Wilson Stothers
Publisher : Elsevier
Release : 2010-10-20
ISBN : 0857092243
Language : En, Es, Fr & De

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Book Description :

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 University Mathematics

Fundamentals of University Mathematics Book
Author : Colin McGregor,John Nimmo,Wilson Stothers
Publisher : Horwood Publishing
Release : 1994
ISBN : 9781898563105
Language : En, Es, Fr & De

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Book Description :

Provides, in a single volume, a unified treatment of first year topics fundamental to university mathematics. Successfully bridges the transitional gap between school and university in a careful, thorough and unusually clear treatment. An essential text for students aiming for an honours degree in mathematics.

Fundamentals of Teaching Mathematics at University Level

Fundamentals of Teaching Mathematics at University Level Book
Author : B Baumslag
Publisher : World Scientific
Release : 2000-02-28
ISBN : 1783261773
Language : En, Es, Fr & De

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Book Description :

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

Fundamentals of Discrete Math for Computer Science Book
Author : Tom Jenkyns,Ben Stephenson
Publisher : Springer
Release : 2018-05-03
ISBN : 3319701517
Language : En, Es, Fr & De

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Book Description :

This clearly written textbook presents an accessible introduction to discrete mathematics for computer science students, offering the reader an enjoyable and stimulating path to improve their programming competence. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Its motivational and interactive style provokes a conversation with the reader through a questioning commentary, and supplies detailed walkthroughs of several algorithms. This updated and enhanced new edition also includes new material on directed graphs, and on drawing and coloring graphs, in addition to more than 100 new exercises (with solutions to selected exercises). Topics and features: assumes no prior mathematical knowledge, and discusses concepts in programming as and when they are needed; designed for both classroom use and self-study, presenting modular and self-contained chapters that follow ACM curriculum recommendations; describes mathematical processes in an algorithmic manner, often supported by a walkthrough demonstrating how the algorithm performs the desired task; includes an extensive set of exercises throughout the text, together with numerous examples, and shaded boxes highlighting key concepts; selects examples that demonstrate a practical use for the concept in question. Students embarking on the start of their studies of computer science will find this book to be an easy-to-understand and fun-to-read primer, ideal for use in a mathematics course taken concurrently with their first programming course.

Fundamentals of Mathematics

Fundamentals of Mathematics Book
Author : Bernd S. W. Schröder
Publisher : Wiley
Release : 2010-08-16
ISBN : 9780470551387
Language : En, Es, Fr & De

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Book Description :

An accessible introduction to abstract mathematics with an emphasis on proof writing Addressing the importance of constructing and understanding mathematical proofs, Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers introduces key concepts from logic and set theory as well as the fundamental definitions of algebra to prepare readers for further study in the field of mathematics. The author supplies a seamless, hands-on presentation of number systems, utilizing key elements of logic and set theory and encouraging readers to abide by the fundamental rule that you are not allowed to use any results that you have not proved yet. The book begins with a focus on the elements of logic used in everyday mathematical language, exposing readers to standard proof methods and Russell's Paradox. Once this foundation is established, subsequent chapters explore more rigorous mathematical exposition that outlines the requisite elements of Zermelo-Fraenkel set theory and constructs the natural numbers and integers as well as rational, real, and complex numbers in a rigorous, yet accessible manner. Abstraction is introduced as a tool, and special focus is dedicated to concrete, accessible applications, such as public key encryption, that are made possible by abstract ideas. The book concludes with a self-contained proof of Abel's Theorem and an investigation of deeper set theory by introducing the Axiom of Choice, ordinal numbers, and cardinal numbers. Throughout each chapter, proofs are written in much detail with explicit indications that emphasize the main ideas and techniques of proof writing. Exercises at varied levels of mathematical development allow readers to test their understanding of the material, and a related Web site features video presentations for each topic, which can be used along with the book or independently for self-study. Classroom-tested to ensure a fluid and accessible presentation, Fundamentals of Mathematics is an excellent book for mathematics courses on proofs, logic, and set theory at the upper-undergraduate level as well as a supplement for transition courses that prepare students for the rigorous mathematical reasoning of advanced calculus, real analysis, and modern algebra. The book is also a suitable reference for professionals in all areas of mathematics education who are interested in mathematical proofs and the foundation upon which all mathematics is built.

Fundamentals of Mathematical Analysis

Fundamentals of Mathematical Analysis Book
Author : Adel N. Boules
Publisher : Oxford University Press, USA
Release : 2021-03
ISBN : 9780198868798
Language : En, Es, Fr & De

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Book Description :

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 Mathematics

Fundamentals of Mathematics Book
Author : Pesi Rustom Masani
Publisher : Unknown
Release : 2021-06-20
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Fundamentals of Mathematics book written by Pesi Rustom Masani, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Fundamentals of Mathematics for Business Social and Life Sciences

Fundamentals of Mathematics for Business  Social  and Life Sciences Book
Author : William J. Adams
Publisher : Prentice Hall
Release : 1979
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Fundamentals of Mathematics for Business Social and Life Sciences book written by William J. Adams, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Fundamentals of Computation Theory

Fundamentals of Computation Theory Book
Author : Lothar Budach
Publisher : Springer-Verlag New York Incorporated
Release : 1985-08-01
ISBN : 9783540156895
Language : En, Es, Fr & De

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Book Description :

This volume contains abridged versions of most of the sectional talks and some invited lectures given at the International Conference on Fundamentals of Computation Theory held at Kazan State University, Kazan, USSR, June 22-26, 1987. The conference was the sixth in the series of FCT Conferences organized every odd year, and the first one to take place in the USSR. FCT '87 was organized by the Section of Discrete Mathematics of the Academy of Sciences in the USSR, the Moscow State University (Department of Discrete Mathematics), and the Kazan State University (Department of Theoretical Cybernetics). This volume contains selected contributions to the following fields: Mathematical Models of Computation, Synthesis and Complexity of Control Systems, Probabilistic Computations, Theory of Programming, Computer-Assisted Deduction. The volume reflects the fact that FCT '87 was organized in the USSR: A wide range of problems typical of research in Mathematical Cybernetics in the USSR is comprehensively represented.

Fundamentals of Mathematics

Fundamentals of Mathematics Book
Author : William M. Setek,Michael A. Gallo
Publisher : Unknown
Release : 2002
ISBN : 9780130606105
Language : En, Es, Fr & De

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Book Description :

For courses in Liberal Arts Mathematics. This text succeeds at what other texts only attempt: it demystifies mathematics. It presents the fundamentals of a variety of mathematical disciplines in a straightforward, easy-to-understand manner. The emphasis is on developing skills and confidence in mathematics for students with a wide range of abilities. The only prerequisite is a working knowledge of arithmetic. Extensive content revisions and the introduction of new material make this edition even more accessible than previous editions.

Mathematics for Natural Scientists

Mathematics for Natural Scientists Book
Author : Lev Kantorovich
Publisher : Springer
Release : 2015-10-08
ISBN : 149392785X
Language : En, Es, Fr & De

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Book Description :

This book covers a course of mathematics designed primarily for physics and engineering students. It includes all the essential material on mathematical methods, presented in a form accessible to physics students, avoiding precise mathematical jargon and proofs which are comprehensible only to mathematicians. Instead, all proofs are given in a form that is clear and convincing enough for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each section of the book. Mathematics for Natural Scientists: Fundamentals and Basics is the first of two volumes. Advanced topics and their applications in physics are covered in the second volume.

Fundamentals of Mathematics Custom Version for Radford University

Fundamentals of Mathematics  Custom Version for Radford University Book
Author : Pearson PTR
Publisher : Pearson PTR Interactive
Release : 2003-08-01
ISBN : 9780536688569
Language : En, Es, Fr & De

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Book Description :

Download Fundamentals of Mathematics Custom Version for Radford University book written by Pearson PTR, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Calculus for Engineering Students

Calculus for Engineering Students Book
Author : Jesus Martin Vaquero,Michael Carr,Araceli Quieruga-Dios,Daniela Richtarikova
Publisher : Academic Press
Release : 2020-08-10
ISBN : 0128172118
Language : En, Es, Fr & De

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Book Description :

Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications. Organized around project-based rather than traditional homework-based learning Reviews basic mathematics and theory while also introducing applications Employs uniform chapter sections that encourage the comparison and contrast of different areas of engineering

Fundamentals of Mathematical Statistics

Fundamentals of Mathematical Statistics Book
Author : S.C. Gupta,V.K. Kapoor
Publisher : Sultan Chand & Sons
Release : 2020-09-10
ISBN : 9351611736
Language : En, Es, Fr & De

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Book Description :

Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Some prominent additions are given below: 1. Variance of Degenerate Random Variable 2. Approximate Expression for Expectation and Variance 3. Lyapounov’s Inequality 4. Holder’s Inequality 5. Minkowski’s Inequality 6. Double Expectation Rule or Double-E Rule and many others

Fundamentals of Mathematics

Fundamentals of Mathematics Book
Author : Trevor Evans
Publisher : Unknown
Release : 1959
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Fundamentals of Mathematics book written by Trevor Evans, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Topics in the History of Mathematics Block 4 Unit 16 Fundamentals

Topics in the History of Mathematics  Block 4  Unit 16  Fundamentals Book
Author : Open University
Publisher : Unknown
Release : 1987
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Topics in the History of Mathematics Block 4 Unit 16 Fundamentals book written by Open University, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Fundamentals of Complex Analysis for Mathematics Science and Engineering

Fundamentals of Complex Analysis for Mathematics  Science  and Engineering Book
Author : E. B. Saff,Arthur David Snider
Publisher : Unknown
Release : 1993
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This applied book provides a comprehensive introduction to complex variable theory and its applications. The Second Edition features a revised and up-dated presentation that reflects contemporary theories and their applications to current engineering problems.

Fundamentals of Mathematical Logic

Fundamentals of Mathematical Logic Book
Author : Peter G. Hinman
Publisher : CRC Press
Release : 2018-10-08
ISBN : 1439864276
Language : En, Es, Fr & De

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Book Description :

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.

Mathematics Today

Mathematics Today Book
Author : Anonim
Publisher : Unknown
Release : 2000
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Mathematics Today book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Fundamentals of Mathematics

Fundamentals of Mathematics Book
Author : Arnold R. Steffensen,Lee Murphy Johnson
Publisher : HarperCollins Publishers
Release : 1991
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Fundamentals Mathematics