Fundamentals of University Mathematics

• Author : Colin McGregor,Jonathan Nimmo,Wilson Stothers
• Publisher : Elsevier
• Release : 20 October 2010

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

• Author : B Baumslag
• Publisher : World Scientific
• Release : 28 February 2000

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

• Author : Tom Jenkyns,Ben Stephenson
• Publisher : Springer Science & Business Media
• Release : 16 October 2012

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

• Author : Peter G. Hinman
• Publisher : CRC Press
• Release : 08 October 2018

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

• Author : Henri Bourles
• Publisher : Elsevier
• Release : 10 July 2017

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.

• Author : Heinrich Behnke,F. Bachmann,K. Fladt
• Publisher : MIT Press
• Release : 03 June 1974

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

• Author : Paul J. Sally (Jr.)
• Publisher : American Mathematical Soc.
• Release : 03 June 2023

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

• Author : N Challis,H Gretton
• Publisher : Elsevier
• Release : 01 January 2008

This student friendly workbook addresses mathematical topics using SONG - a combination of Symbolic, Oral, Numerical and Graphical approaches. The text helps to develop key skills, communication both written and oral, the use of information technology, problem solving and mathematical modelling. The overall structure aims to help students take responsibility for their own learning, by emphasizing the use of self-assessment, thereby enabling them to become critical, reflective and continuing learners – an essential skill in this fast-changing world. The material in

• Author : Damian M. Lyons,Gary M. Weiss,Christina Papadakis-Kanaris,Arthur G. Werschulz,Associate Professor of Mathematics and Computer Science Fordham University Visiting Scholar Arthur G Werschulz
• Publisher : Unknown
• Release : 21 August 2012

Normal 0 false false false EN-US X-NONE X-NONE Selecting a mathematics textbook that meets the needs of a diverse student body can be a challenge. Some have too much information for a beginner; some have too little. The authors of Fundamentals of Discrete Structures, frustrated by their search for the perfect text, decided to write their own. The result provides an excellent introduction to discrete mathematics that is both accessible to liberal arts majors satisfying their core mathematics requirements, and also

• Author : Ian Stewart,David Orme Tall
• Publisher : Oxford University Press, USA
• Release : 03 June 2023

The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract

• Author : Henri Bourles
• Publisher : Elsevier
• Release : 11 October 2019

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,

• Author : Agamirza Bashirov
• Publisher : Academic Press
• Release : 27 March 2014

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

• Author : Ralph Kirby, T.G. Downing and M.I.El Gohary
• Publisher : EOLSS Publications
• Release : 24 April 2010

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;

• Author : Gabriel Ciobanu,Gheorghe Paun
• Publisher : Springer
• Release : 31 July 2003

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,

• Author : José L. Mora-Lopez
• Publisher : EOLSS Publications
• Release : 10 November 2009

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