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by Edward Hurst (Author), Martin Gould (Author)Written by students for students, Bridging the Gap to University Mathematics is a refreshing, new approach to making the transition into undergraduate-level mathematics or a similar numerate degree. Suitable for students of all backgrounds, whether A-level, Scottish Higher, International Baccalaureate or similar, the book helps readers to shape their existing knowledge and build upon current strengths in order to get the most out of their undergr...
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by Robert Wilson (Author)Thisbookisintendedasanintroductiontoallthe?nitesimplegroups.During themonumentalstruggletoclassifythe?nitesimplegroups(andindeedsince), a huge amount of information about these groups has been accumulated. Conveyingthisinformationtothenextgenerationofstudentsandresearchers, not to mention those who might wish to apply this knowledge, has become a major challenge. With the publication of the two volumes by Aschbacher and Smith [12, 13] in 2004 we can reasonably regard ...
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by Raymond Turner (Author)Computational models can be found everywhere in present day science and engineering. In providing a logical framework and foundation for the specification and design of specification languages, Raymond Turner uses this framework to introduce and study computable models. In doing so he presents the first systematic attempt to provide computational models with a logical foundation. Computable models have wide-ranging applications from programming language semantics and...
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by John A. Vince (Author)Geometric algebra is still treated as an obscure branch of algebra and most books have been written by competent mathematicians in a very abstract style. This restricts the readership of such books especially by programmers working in computer graphics, who simply want guidance on algorithm design. Geometric algebra provides a unified algebraic system for solving a wide variety of geometric problems. John Vince reveals the beauty of this algebraic framework and commun...
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by L. J. P. Kilford (Author)This book presents a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to such diverse subjects as the theory of quadratic forms, the proof of Fermat's last theorem and the approximation of pi. It provides a balanced overview of both the theoretical and computational sides of the subject, ...
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by A. N. Pressley (Author)Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions. It is a subject that contains some of the most beautiful and profound results in mathematics yet many of these are accessible to higher-level undergraduates. Elementary Differential Geometry presents the main results in ...
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by Bernard Dacorogna (Author)The calculus of variations is one of the oldest subjects in mathematics, yet is very much alive and is still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it is widely used in physics, engineering, economics and biology.This book serves both as a guide to the expansive existing literature and as an aid to the non-specialist -- mathematicians, physicists, engineers, students...
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by John H. Mason (Author), Sergiy Klymchuk (Author)Front JacketThis book makes accessible to calculus students in high school, college and university a range of counter-examples to "conjectures" that many students erroneously make. In addition, it urges readers to construct their own examples by tinkering with the ones shown here in order to enrich the example spaces to which they have access, and to deepen their appreciation of conspectus and conditions applying to theorems. Number of Pages:...
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by Yoshio Miyahara (Author)This volume offers the reader practical methods to compute the option prices in the incomplete asset markets. The GLP & MEMM] pricing models are clearly introduced, and the properties of these models are discussed in great detail. It is shown that the geometric L vy process (GLP) is a typical example of the incomplete market, and that the MEMM (minimal entropy martingale measure) is an extremely powerful pricing measure.This volume also presents the calibration...
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by John H. Mason (Author), Sergiy Klymchuk (Author)Front JacketThis book makes accessible to calculus students in high school, college and university a range of counter-examples to "conjectures" that many students erroneously make. In addition, it urges readers to construct their own examples by tinkering with the ones shown here in order to enrich the example spaces to which they have access, and to deepen their appreciation of conspectus and conditions applying to theorems. Number of Pages:...
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by Geoff Smith (Author), Olga Tabachnikova (Author)This book reviews the essentials of group theory. It recaps all the basic definitions and results. The author's informal style and irreverent approach has proved popular with students and lecturers alike: his book Introductory Mathematics: Algebra and Analysis is one of SUMS' best-selling titles. Number of Pages: 256 Dimensions: 0.68 x 9.26 x 6.77 IN Illustrated: Yes Publication Date: May 15, 2000
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by Cristian S. Calude (Author), Gheorghe Paun (Author)The finite - infinite interplay is central in human thinking, from ancient philosophers and mathematicians (Zeno, Pythagoras), to modern mathe- matics (Cantor, Hilbert) and computer science (Turing, Godel). Recent developments in mathematics and computer science suggest a) radically new answers to classical questions (e. g., does infinity exist?, where does infinity come from?, how to reconcile the finiteness of the human brain with the in...
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by Ian Anderson (Author)The place of discrete mathematics in the curriculum is now well established but many of the textbooks on the subject are directed towards computer science students. This book is written primarily for students of mathematics in the first or second year of their degree and introduces the key ideas, techniques and results. Number of Pages: 200 Dimensions: 0.45 x 9.21 x 6.14 IN Illustrated: Yes Publication Date: October 27, 2000
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by Joan M. Aldous (Author), S. Best (Illustrator), Robin J. Wilson (Author)There is an ever-increasing number of courses on discrete mathematics due, in part, to the increasing importance of the computer. This book is based on a highly successful course from the Open University and includes a large number of problems and exercises. It is suitable both for classroom use and independent study. Number of Pages: 444 Dimensions: 1.1 x 9.1 x 6 IN Illustrated: Yes Publication Date: March 22, 2000
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by Nicholas H. Bingham (Author), Rüdiger Kiesel (Author)In this second edition of their popular text, the authors take into account recent developments in the field, and changes in their own thinking and teaching. The chapters on Incomplete Markets and Interest Rate Theory have been updated and extended, there is a new chapter on the important and growing area of Credit Risk and, in recognition of the increasing popularity of Lévy finance, there is considerable new material on: - Infinite div...
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by Nicholas F. Britton (Author)Essential Mathematical Biology is a self-contained introduction to this fast-growing field. Aimed primarily at 3rd and 4th year undergraduate students in mathematics it covers classical material but gives pointers to cutting-edge research. A website with solutions and additional material provides up-to-date support and a first point of reference for new developments in Mathematical Biology. Number of Pages: 335 Dimensions: 0.7 x 9.9 x 7 IN Illustrated: Yes Publi...
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by Gareth A. Jones (Author), J. Mary Jones (Author)Information and coding theory are increasingly popular topics in undergraduate curricula, not only in mathematics but also in computer science and engineering. Written by the authors of Elementary Number Theory, the best selling SUMS title, this book introduces the basic ideas at undergraduate level and is the first book to consider both topics, in depth, in one volume. Number of Pages: 210 Dimensions: 0.6 x 9.25 x 6.79 IN Illustrated: Yes Pu...
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by Eduardo F. Camacho (Author), Carlos Bordons Alba (Author)The second edition of "Model Predictive Control" provides a thorough introduction to theoretical and practical aspects of the most commonly used MPC strategies. It bridges the gap between the powerful but often abstract techniques of control researchers and the more empirical approach of practitioners. The book demonstrates that a powerful technique does not always require complex control algorithms. All of the material is thoroughly...
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by John M. Howie (Author)Complex analysis can be a difficult subject and many introductory texts are just too ambitious for today's students. This book takes a lower starting point than is traditional and concentrates on explaining the key ideas through worked examples and informal explanations, rather than through "dry" theory, making it suitable for both pure and applied mathematicians. Number of Pages: 260 Dimensions: 0.58 x 10 x 7 IN Illustrated: Yes Publication Date: May 28, 2003
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by Tom A. B. Snijders (Author), Roel Bosker (Author)The classic text in multilevel analysis, dealing with everything you need to know, has been hugely revised and added to and is supported by all the software. A must-have for modellers.Author BiographyTom A.B. Snijders is professor of statistics in the social sciences at the University of Oxford and professor of statistics and methodology at the University of Groningen. He specializes in multilevel analysis and social network analysis. Roel ...
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by Martin D. Crossley (Author)This book brings the most important aspects of modern topology within reach of a second-year undergraduate student. It successfully unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study. While containing all the key results of basic topology, the book never allows itself to get mired in details. Instead, the focus throughout is on providing interesting examples th...
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by Marek Capinski (Author), Peter E. Kopp (Author)Measure, Integral and Probability is a gentle introduction that makes measure and integration theory accessible to the average third-year undergraduate student. The ideas are developed at an easy pace in a form that is suitable for self-study, with an emphasis on clear explanations and concrete examples rather than abstract theory. For this second edition, the text has been thoroughly revised and expanded. New features include: - a substantial...
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by F. M. Dekking (Author), C. Kraaikamp (Author), H. P. Lopuhaä (Author)Probability and Statistics are studied by most science students. Many current texts in the area are just cookbooks and, as a result, students do not know why they perform the methods they are taught, or why the methods work. This book readdresses these shortcomings; by using examples, often from real-life and using real data, the authors show how the fundamentals of probabilistic and statistical theories arise intuitively...
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by Derek Goldrei (Author)More and more students need a basic understanding of logic for computing courses, and prepositional and predicate calculus is central to the field of mathematical logic. This introductory text assumes no prior knowledge of logic and concentrates on the core material that is vital for further study. It is specifically designed for independent study and features a wealth of examples and exercises, many with full teaching solutions.Back JacketAt the heart of the justific...
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by James W. Anderson (Author)This introductory text explores and develops the basic notions of geometry on the hyperbolic plane. Topics covered include the upper half-space model of the hyperbolic plane, Möbius transformations, the general Möbius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincar disc model, convex subsets of the hyperbolic plane, and the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applicatio...
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by Kenneth Kunen (Author)This book is designed for readers who know elementary mathematical logic and axiomatic set theory, and who want to learn more about set theory. The primary focus of the book is on the independence proofs. Most famous among these is the independence of the Continuum Hypothesis (CH); that is, there are models of the axioms of set theory (ZFC) in which CH is true, and other models in which CH is false. More generally, cardinal exponentiation on the regular cardinals can ...
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by John M. Howie (Author)This book provides a gentle introduction to this popular subject. Assuming a background of a first course in abstract algebra, the book covers rings, ideals, quotients and homomorphisms, introduces polynomials, field extensions and splitting fields, gives a description of finite fields, and includes a brief account of the use of such fields in coding theory. It provides a readable, "student-friendly" introduction that takes a more "natural" approach to its subject (co...
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by Petr Cintula (Editor), Petr H. Jek (Editor), Carles Noguera (Editor)Originating as an attempt to provide solid logical foundations for fuzzy set theory, and motivated also by philosophical and computational problems of vagueness and imprecision, Mathematical Fuzzy Logic (MFL) has become a significant subfield of mathematical logic. Research in this area focuses on many-valued logics with linearly ordered truth values and has yielded elegant and deep mathematical theories and challenging pr...
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by Petr Cintula (Editor), Petr H. Jek (Editor), Carles Noguera (Editor)Originating as an attempt to provide solid logical foundations for fuzzy set theory, and motivated also by philosophical and computational problems of vagueness and imprecision, Mathematical Fuzzy Logic (MFL) has become a significant subfield of mathematical logic. Research in this area focuses on many-valued logics with linearly ordered truth values and has yielded elegant and deep mathematical theories and challenging pr...
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by Henk Barendregt (Author)The Lambda Calculus, treated in this book mainly in its untyped version, consists of a collection of expressions, called lambda terms, together with ways how to rewrite and identify these. In the parts conversion, reduction, theories, and models the view is respectively 'algebraic', computational, with more ('coinductive') identifications, and finally set-theoretic. The lambda terms are built up from variables, using application and abstraction. Applying a term F to...
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by Craig Smorynski (Author)This book introduces elementary probability through its history, eschewing the usual drill in favour of a discussion of the problems that shaped the field's development. Numerous excerpts from the literature, both from the pioneers in the field and its commentators, some given new English translations, pepper the exposition. First, for the reader without a background in the Calculus, it offers a brief intuitive explanation of some of the concepts behind the notation...
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by Maurice A. Finocchiaro (Author)Meta-arguments are arguments about one or more arguments, or argumentation in general. They contrast to ground-level arguments, which are about natural phenomena, historical events, human actions, abstract entities, etc. Although meta-arguments are common in all areas of human cognitive practice, and although implicit studies of them are found in many works, and although a few explicit scholarly contributions exist, meta-argumentation has never been examined ...