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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 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 Mathematics

Fundamentals of Mathematics Book
Author : Heinrich Behnke,F. Bachmann,K. Fladt
Publisher : MIT Press
Release : 1974
ISBN : 9780262020695
Language : En, Es, Fr & De

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Book Description :

Volume II of a unique survey of the whole field of pure mathematics.

Fundamentals of Mathematical Logic

Fundamentals of Mathematical Logic Book
Author : Peter G. Hinman
Publisher : CRC Press
Release : 2018-10-08
ISBN : 1351991752
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.

Fundamentals of Advanced Mathematics 1

Fundamentals of Advanced Mathematics 1 Book
Author : Henri Bourles
Publisher : Elsevier
Release : 2017-07-10
ISBN : 0081021127
Language : En, Es, Fr & De

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Book Description :

This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed. These notions play an essential role in algebraic analysis (analytico-algebraic systems theory of ordinary or partial linear differential equations). The book concludes with a study of modules over the main types of rings, the rational canonical form of matrices, the (commutative) theory of elemental divisors and their application in systems of linear differential equations with constant coefficients. Part of the New Mathematical Methods, Systems, and Applications series Presents the notions, results, and proofs necessary to understand and master the various topics Provides a unified notation, making the task easier for the reader. Includes several summaries of mathematics for engineers

Fundamentals of Mathematics

Fundamentals of Mathematics Book
Author : Pesi Rustom Masani
Publisher : Unknown
Release : 2022-07-01
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 Mathematical Analysis

Fundamentals of Mathematical Analysis Book
Author : Paul J. Sally, Jr.
Publisher : American Mathematical Soc.
Release : 2013
ISBN : 0821891413
Language : En, Es, Fr & De

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Book Description :

This is a textbook for a course in Honors Analysis (for freshman/sophomore undergraduates) or Real Analysis (for junior/senior undergraduates) or Analysis-I (beginning graduates). It is intended for students who completed a course in ``AP Calculus'', possibly followed by a routine course in multivariable calculus and a computational course in linear algebra. There are three features that distinguish this book from many other books of a similar nature and which are important for the use of this book as a text. The first, and most important, feature is the collection of exercises. These are spread throughout the chapters and should be regarded as an essential component of the student's learning. Some of these exercises comprise a routine follow-up to the material, while others challenge the student's understanding more deeply. The second feature is the set of independent projects presented at the end of each chapter. These projects supplement the content studied in their respective chapters. They can be used to expand the student's knowledge and understanding or as an opportunity to conduct a seminar in Inquiry Based Learning in which the students present the material to their class. The third really important feature is a series of challenge problems that increase in impossibility as the chapters progress.

Fractal Geometry

Fractal Geometry Book
Author : J M Blackledge,A K Evans,M J Turner
Publisher : Elsevier
Release : 2002-09-01
ISBN : 0857099590
Language : En, Es, Fr & De

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Book Description :

International authorities from Canada, Denmark, England, Germany, Russia and South Africa focus on research on fractal geometry and the best practices in software, theoretical mathematical algorithms, and analysis. They address the rich panoply of manifold applications of fractal geometry available for study and research in science and industry: i.e., remote sensing, mapping, texture creations, pattern recognition, image compression, aeromechanical systems, cryptography and financial analysis. Economically priced, this important and authoritative reference source for research and study cites over 230 references to the literature, copiously illustrated with over 320 diagrams and photographs. The book is published for The Institute of Mathematics and its Applications, co-sponsored with The Institute of Physics and The Institution of Electrical Engineers. Outlines research on fractal geometry and the best practices in software, theoretical mathematical algorithms, and analysis International authorities from around the world address the rich panoply of manifold applications of fractal geometry available for study and research in science and industry Addresses applications in key research fields of remote sensing, mapping, texture creations, pattern recognition, image compression, aeromechanical systems, cryptography and financial analysis

FUNDAMENTALS OF BIOCHEMISTRY CELL BIOLOGY AND BIOPHYSICS Volume III

FUNDAMENTALS OF BIOCHEMISTRY  CELL BIOLOGY AND BIOPHYSICS   Volume III Book
Author : Ralph Kirby, T.G. Downing and M.I.El Gohary
Publisher : EOLSS Publications
Release : 2010-04-24
ISBN : 1848264097
Language : En, Es, Fr & De

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Book Description :

Fundamentals of Biochemistry, Cell Biology and Biophysics is a component of Encyclopedia Of Biological, Physiological And Health Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. This 3-volume set contains several chapters, each of size 5000-30000 words, with perspectives, issues on. Biological Science Foundations; Organic Chemicals Involved In Life Processes; Carbon Fixation; Anaerobic and Aerobic Respiration; Biochemistry; Inorganic Biochemistry; Soil Biochemistry; Organic Chemistry And Biological Systems -Biochemistry; Eukaryote Cell Biology; Cell Theory, Properties Of Cells And Their Diversity; Cell Morphology And Organization; Cell Nucleus And Chromatin Structure; Organelles And Other Structures In Cell Biology; Mitosis, Cytokines is, Meiosis And Apoptosis; Cell Growth Regulation, Transformation And Metastases; Networks In Cell Biology; Microbiology; Prokaryotic Cell Structure And Function; Prokaryotic Diversity; Prokaryote Genetics; Prokaryotic Growth, Nutrition And Physiology; An Introductory Treatise On Biophysics; Mathematical Models In Biophysics. It is aimed at the following five major target audiences: University and College Students, Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers.

FUNDAMENTALS OF PHYSICS Volume I

FUNDAMENTALS OF PHYSICS   Volume I Book
Author : José L. Mora-Lopez
Publisher : EOLSS Publications
Release : 2009-11-10
ISBN : 1905839529
Language : En, Es, Fr & De

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Book Description :

Fundamentals of Physics is a component of Encyclopedia of Physical Sciences, Engineering and Technology Resources in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty Encyclopedias. The Theme on Fundamentals of Physics provides an overview of the modern areas in physics, most of which had been crystallized in the 20th century, is given. The Theme on Fundamentals of Physics deals, in three volumes and cover several topics, with a myriad of issues of great relevance to our world such as: Historical Review of Elementary Concepts in Physics; Laws of Physical Systems; Particles and Fields; Quantum Systems; Order and Disorder in Nature; Topical Review: Nuclear Processes, which are then expanded into multiple subtopics, each as a chapter. These three volumes are aimed at the following five major target audiences: University and College Students, Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers, NGOs and GOs.

FUNDAMENTALS OF CHEMISTRY Volume II

FUNDAMENTALS OF CHEMISTRY   Volume II Book
Author : Sergio Carrà
Publisher : EOLSS Publications
Release : 2009-05-05
ISBN : 1905839596
Language : En, Es, Fr & De

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Book Description :

Fundamentals of Chemistry theme in two volumes, is a component of Encyclopedia of Chemical Sciences, Engineering and Technology Resources in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme is organized into six different topics which represent the main scientific areas : History and Fundamentals of Chemistry; Chemical Experimentation and Instrumentation; Theoretical Approach to Chemistry; Chemical Thermodynamics; Rates of Chemical Reactions; Chemical Synthesis of Substances. These two volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs

BIOLOGICAL SCIENCE FUNDAMENTALS AND SYSTEMATICS Volume I

BIOLOGICAL SCIENCE FUNDAMENTALS AND SYSTEMATICS   Volume I Book
Author : Alessandro Minelli,Giancarlo Contrafatto
Publisher : EOLSS Publications
Release : 2009-11-10
ISBN : 184826304X
Language : En, Es, Fr & De

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Book Description :

Biological Science Fundamentals and Systematics is a component of Encyclopedia of Biological, Physiological and Health Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Biological Science Fundamentals and Systematics provides the essential aspects and a myriad of issues of great relevance to our world such as: History and Scope of Biological Sciences; The Origin and Evolution of Early Life; Evolution; Classification and Diversity of Life Forms; Systematics of Microbial Kingdom (s) and Fungi; Systematic Botany; Systematic Zoology: Invertebrates; Systematic Zoology: Vertebrates which are then expanded into multiple subtopics, each as a chapter. These four volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

BIOLOGICAL SCIENCE FUNDAMENTALS AND SYSTEMATICS Volume IV

BIOLOGICAL SCIENCE FUNDAMENTALS AND SYSTEMATICS   Volume IV Book
Author : Alessandro Minelli ,Giancarlo Contrafatto
Publisher : EOLSS Publications
Release : 2009-11-10
ISBN : 1848261896
Language : En, Es, Fr & De

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Book Description :

Biological Science Fundamentals and Systematics is a component of Encyclopedia of Biological, Physiological and Health Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Biological Science Fundamentals and Systematics provides the essential aspects and a myriad of issues of great relevance to our world such as: History and Scope of Biological Sciences; The Origin and Evolution of Early Life; Evolution; Classification and Diversity of Life Forms; Systematics of Microbial Kingdom (s) and Fungi; Systematic Botany; Systematic Zoology: Invertebrates; Systematic Zoology: Vertebrates which are then expanded into multiple subtopics, each as a chapter. These four volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

BIOLOGICAL SCIENCE FUNDAMENTALS AND SYSTEMATICS Volume II

BIOLOGICAL SCIENCE FUNDAMENTALS AND SYSTEMATICS   Volume II Book
Author : Alessandro Minelli , Giancarlo Contrafatto
Publisher : EOLSS Publications
Release : 2009-11-10
ISBN : 1848263058
Language : En, Es, Fr & De

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Book Description :

Biological Science Fundamentals and Systematics is a component of Encyclopedia of Biological, Physiological and Health Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Biological Science Fundamentals and Systematics provides the essential aspects and a myriad of issues of great relevance to our world such as: History and Scope of Biological Sciences; The Origin and Evolution of Early Life; Evolution; Classification and Diversity of Life Forms; Systematics of Microbial Kingdom (s) and Fungi; Systematic Botany; Systematic Zoology: Invertebrates; Systematic Zoology: Vertebrates which are then expanded into multiple subtopics, each as a chapter. These four volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

Fundamentals of Computation Theory

Fundamentals of Computation Theory Book
Author : Gabriel Ciobanu,Gheorghe Paun
Publisher : Springer
Release : 2003-07-31
ISBN : 3540483217
Language : En, Es, Fr & De

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Book Description :

This book constitutes the refereed proceedings of the 12th International Symposium on Fundamentals of Computation Theory, FCT '99, held in Iasi, Romania in August/September 1999. The 42 revised full papers presented together with four invited papers were carefully selected from a total of 102 submissions. Among the topics addressed are abstract data types, algorithms and data structures, automata and formal languages, categorical and topological approaches, complexity, computational geometry, concurrency, cryptology, distributed computing, logics in computer science, process algebras, symbolic computation, molecular computing, quantum computing, etc.

Fundamentals of Advanced Mathematics V3

Fundamentals of Advanced Mathematics V3 Book
Author : Henri Bourles
Publisher : Elsevier
Release : 2019-10-11
ISBN : 0081023863
Language : En, Es, Fr & De

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Book Description :

Fundamentals of Advanced Mathematics, Volume Three, begins with the study of differential and analytic infinite-dimensional manifolds, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus on manifolds, differential and integral calculus on manifolds (general Stokes formula, integral curves and manifolds), an analysis on Lie groups, the Haar measure, the convolution of functions and distributions, and the harmonic analysis over a Lie group. Finally, the theory of connections is (linear connections, principal connections, and Cartan connections) covered, as is the calculus of variations in Lagrangian and Hamiltonian formulations. This volume is the prerequisite to the analytic and geometric study of nonlinear systems. Includes sections on differential and analytic manifolds, vector bundles, tensors, Lie derivatives, applications to algebraic topology, and more Presents an ideal prerequisite resource on the analytic and geometric study of nonlinear systems Provides theory as well as practical information

Foundations of Mathematical Economics

Foundations of Mathematical Economics Book
Author : Michael Carter
Publisher : MIT Press
Release : 2001-10-26
ISBN : 9780262531924
Language : En, Es, Fr & De

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Book Description :

This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.

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.

Mathematical Analysis Fundamentals

Mathematical Analysis Fundamentals Book
Author : Agamirza Bashirov
Publisher : Academic Press
Release : 2014-03-27
ISBN : 0128010509
Language : En, Es, Fr & De

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Book Description :

The author’s goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options. Friendly and well-rounded presentation of pre-analysis topics such as sets, proof techniques and systems of numbers. Deeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spaces Presentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integration Elements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus.

Fundamentals of Discrete Math for Computer Science

Fundamentals of Discrete Math for Computer Science Book
Author : Tom Jenkyns,Ben Stephenson
Publisher : Springer Science & Business Media
Release : 2012-10-16
ISBN : 1447140699
Language : En, Es, Fr & De

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Book Description :

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.