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Books > Science & Mathematics > Mathematics > Mathematical foundations

Second Generation Wavelets and Applications (Hardcover, 2005 ed.): Maarten H Jansen, Patrick J. Oonincx Second Generation Wavelets and Applications (Hardcover, 2005 ed.)
Maarten H Jansen, Patrick J. Oonincx
R2,863 Discovery Miles 28 630 Ships in 10 - 15 working days

Wavelets are mathematical functions that divide data into different frequency components, and then study each component with a resolution matched to its scale. First generation wavelets have proved useful in many applications in engineering and computer science. However they cannot be used with non-linear, data-adaptive decompositions and non-equispaced data.

"Second Generation Wavelets and their Applications" introduces "second generation wavelets" and the lifting transform that can be used to apply the traditional benefits of wavelets into a wide range of new areas in signal processing, data processing and computer graphics. This book details the mathematical fundamentals of the lifting transform and illustrates the latest applications of the transform in signal and image processing, numerical analysis, scattering data smoothing and rendering of computer images.

Rough Sets in Knowledge Discovery 2 - Applications, Case Studies and Software Systems (Hardcover, 1998 ed.): Lech Polkowski Rough Sets in Knowledge Discovery 2 - Applications, Case Studies and Software Systems (Hardcover, 1998 ed.)
Lech Polkowski
R6,086 Discovery Miles 60 860 Ships in 10 - 15 working days

The papers on rough set theory and its applications placed in this volume present a wide spectrum of problems representative to the present. stage of this theory. Researchers from many countries reveal their rec.ent results on various aspects of rough sets. The papers are not confined only to mathematical theory but also include algorithmic aspects, applications and information about software designed for data analysis based on this theory. The volume contains also list of selected publications on rough sets which can be very useful to every one engaged in research or applications in this domain and sometimes perhaps unaware of results of other authors. The book shows that rough set theory is a vivid and vigorous domain with serious results to its credit and bright perspective for future developments. It lays on the crossroads of fuzzy sets, theory of evidence, neural networks, Petri nets and many other branches of AI, logic and mathematics. These diverse connec tions seem to be a very fertile feature of rough set theory and have essentially contributed to its wide and rapid expansion. It is worth mentioning that its philosophical roots stretch down from Leibniz, Frege and Russell up to Popper. Therefore many concepts dwelled on in rough set theory are not entirely new, nevertheless the theory can be viewed as an independent discipline on its own rights. Rough set theory has found many interesting real life applications in medicine, banking, industry and others."

Essays in Constructive Mathematics (Hardcover, 2nd ed. 2022): Harold M. Edwards Essays in Constructive Mathematics (Hardcover, 2nd ed. 2022)
Harold M. Edwards; Contributions by David A. Cox
R3,162 Discovery Miles 31 620 Ships in 10 - 15 working days

Contents and treatment are fresh and very different from the standard treatments Presents a fully constructive version of what it means to do algebra The exposition is not only clear, it is friendly, philosophical, and considerate even to the most naive or inexperienced reader

The Unknown as an Engine for Science - An Essay on the Definite and the Indefinite (Hardcover, 2015 ed.): Hans J Pirner The Unknown as an Engine for Science - An Essay on the Definite and the Indefinite (Hardcover, 2015 ed.)
Hans J Pirner; Translated by William D. Brewer
R2,305 R1,914 Discovery Miles 19 140 Save R391 (17%) Ships in 12 - 19 working days

This book explores the limits of our knowledge. The author shows how uncertainty and indefiniteness not only define the borders confining our understanding, but how they feed into the process of discovery and help to push back these borders. Starting with physics the author collects examples from economics, neurophysiology, history, ecology and philosophy. The first part shows how information helps to reduce indefiniteness. Understanding rests on our ability to find the right context, in which we localize a problem as a point in a network of connections. New elements must be combined with the old parts of the existing complex knowledge system, in order to profit maximally from the information. An attempt is made to quantify the value of information by its ability to reduce indefiniteness. The second part explains how to handle indefiniteness with methods from fuzzy logic, decision theory, hermeneutics and semiotics. It is not sufficient that the new element appears in an experiment, one also has to find a theoretical reason for its existence. Indefiniteness becomes an engine of science, which gives rise to new ideas.

Research Directions in Symplectic and Contact Geometry and Topology (Hardcover, 1st ed. 2021): Bahar Acu, Catherine Cannizzo,... Research Directions in Symplectic and Contact Geometry and Topology (Hardcover, 1st ed. 2021)
Bahar Acu, Catherine Cannizzo, Dusa McDuff, Ziva Myer, Yu Pan, …
R1,643 Discovery Miles 16 430 Ships in 12 - 19 working days

This book highlights a number of recent research advances in the field of symplectic and contact geometry and topology, and related areas in low-dimensional topology. This field has experienced significant and exciting growth in the past few decades, and this volume provides an accessible introduction into many active research problems in this area. The papers were written with a broad audience in mind so as to reach a wide range of mathematicians at various levels. Aside from teaching readers about developing research areas, this book will inspire researchers to ask further questions to continue to advance the field. The volume contains both original results and survey articles, presenting the results of collaborative research on a wide range of topics. These projects began at the Research Collaboration Conference for Women in Symplectic and Contact Geometry and Topology (WiSCon) in July 2019 at ICERM, Brown University. Each group of authors included female and nonbinary mathematicians at different career levels in mathematics and with varying areas of expertise. This paved the way for new connections between mathematicians at all career levels, spanning multiple continents, and resulted in the new collaborations and directions that are featured in this work.

Petri Nets for Systems Engineering - A Guide to Modeling, Verification, and Applications (Hardcover, 2003 ed.): Claude Girault,... Petri Nets for Systems Engineering - A Guide to Modeling, Verification, and Applications (Hardcover, 2003 ed.)
Claude Girault, Rudiger Valk
R3,240 Discovery Miles 32 400 Ships in 10 - 15 working days

Formal methods for the specification and verification of hardware and software systems are becoming more and more important as systems increase in size and complexity. The aim of the book is to illustrate progress in formal methods, based on Petri net formalisms. It contains a collection of examples arising from different fields, such as flexible manufacturing, telecommunication and workflow management systems.The book covers the main phases in the life cycle of design and implementation of a system, i.e., specification, model checking techniques for verification, analysis of properties, code generation, and execution of models. These techniques and their tool support are discussed in detail including practical issues. Amongst others, fundamental concepts such as composition, abstraction, and reusability of models, model verification, and verification of properties are systematically introduced.

Finite and Infinite Combinatorics in Sets and Logic (Hardcover, 1993 ed.): Norbert W. Sauer, R. E. Woodrow, B. Sands Finite and Infinite Combinatorics in Sets and Logic (Hardcover, 1993 ed.)
Norbert W. Sauer, R. E. Woodrow, B. Sands
R8,558 Discovery Miles 85 580 Ships in 10 - 15 working days

This volume contains the accounts of papers delivered at the Nato Advanced Study Institute on Finite and Infinite Combinatorics in Sets and Logic held at the Banff Centre, Alberta, Canada from April 21 to May 4, 1991. As the title suggests the meeting brought together workers interested in the interplay between finite and infinite combinatorics, set theory, graph theory and logic. It used to be that infinite set theory, finite combinatorics and logic could be viewed as quite separate and independent subjects. But more and more those disciplines grow together and become interdependent of each other with ever more problems and results appearing which concern all of those disciplines. I appreciate the financial support which was provided by the N. A. T. O. Advanced Study Institute programme, the Natural Sciences and Engineering Research Council of Canada and the Department of Mathematics and Statistics of the University of Calgary. 11l'te meeting on Finite and Infinite Combinatorics in Sets and Logic followed two other meetings on discrete mathematics held in Banff, the Symposium on Ordered Sets in 1981 and the Symposium on Graphs and Order in 1984. The growing inter-relation between the different areas in discrete mathematics is maybe best illustrated by the fact that many of the participants who were present at the previous meetings also attended this meeting on Finite and Infinite Combinatorics in Sets and Logic.

Structural Theory of Automata, Semigroups, and Universal Algebra - Proceedings of the NATO Advanced Study Institute on... Structural Theory of Automata, Semigroups, and Universal Algebra - Proceedings of the NATO Advanced Study Institute on Structural Theory of Automata, Semigroups and Universal Algebra, Montreal, Quebec, Canada, 7-18 July 2003 (Hardcover, 2005 ed.)
M. Goldstein; Edited by Valery B. Kudryavtsev, Ivo G. Rosenberg
R3,140 Discovery Miles 31 400 Ships in 10 - 15 working days

Semigroups, Automata, Universal Algebra, Varieties

Formal Matrices (Hardcover, 1st ed. 2017): Piotr Krylov, Askar Tuganbaev Formal Matrices (Hardcover, 1st ed. 2017)
Piotr Krylov, Askar Tuganbaev
R2,943 Discovery Miles 29 430 Ships in 12 - 19 working days

This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory. While various special types of formal matrix rings have been studied for a long time from several points of view and appear in various textbooks, for instance to examine equivalences of module categories and to illustrate rings with one-sided non-symmetric properties, this particular class of rings has, so far, not been treated systematically. Exploring formal matrix rings of order 2 and introducing the notion of the determinant of a formal matrix over a commutative ring, this monograph further covers the Grothendieck and Whitehead groups of rings. Graduate students and researchers interested in ring theory, module theory and operator algebras will find this book particularly valuable. Containing numerous examples, Formal Matrices is a largely self-contained and accessible introduction to the topic, assuming a solid understanding of basic algebra.

Advanced Smart Computing Technologies in Cybersecurity and Forensics (Hardcover): Keshav Kaushik, Shubham Tayal, Akashdeep... Advanced Smart Computing Technologies in Cybersecurity and Forensics (Hardcover)
Keshav Kaushik, Shubham Tayal, Akashdeep Bhardwaj, Manoj Kumar
R3,003 Discovery Miles 30 030 Ships in 9 - 17 working days

Includes detailed applications of cybersecurity and forensics for real life problems Addresses the challenges and solutions related to implementation of cybersecurity in multiple domains of smart computational technologies Includes the latest trends and area of research in cybersecurity and forensics Offers both quantitative and qualitative assesmnet of the topics Includes case studies that will be helpful for the researchers

Encyclopedia of Knot Theory (Paperback): Colin Adams, Erica Flapan, Allison Henrich, Louis H. Kauffman, Lewis D. Ludwig, Sam... Encyclopedia of Knot Theory (Paperback)
Colin Adams, Erica Flapan, Allison Henrich, Louis H. Kauffman, Lewis D. Ludwig, …
R1,689 Discovery Miles 16 890 Ships in 9 - 17 working days

"Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics. This enyclopedia is filled with valuable information on a rich and fascinating subject." - Ed Witten, Recipient of the Fields Medal "I spent a pleasant afternoon perusing the Encyclopedia of Knot Theory. It's a comprehensive compilation of clear introductions to both classical and very modern developments in the field. It will be a terrific resource for the accomplished researcher, and will also be an excellent way to lure students, both graduate and undergraduate, into the field." - Abigail Thompson, Distinguished Professor of Mathematics at University of California, Davis Knot theory has proven to be a fascinating area of mathematical research, dating back about 150 years. Encyclopedia of Knot Theory provides short, interconnected articles on a variety of active areas in knot theory, and includes beautiful pictures, deep mathematical connections, and critical applications. Many of the articles in this book are accessible to undergraduates who are working on research or taking an advanced undergraduate course in knot theory. More advanced articles will be useful to graduate students working on a related thesis topic, to researchers in another area of topology who are interested in current results in knot theory, and to scientists who study the topology and geometry of biopolymers. Features Provides material that is useful and accessible to undergraduates, postgraduates, and full-time researchers Topics discussed provide an excellent catalyst for students to explore meaningful research and gain confidence and commitment to pursuing advanced degrees Edited and contributed by top researchers in the field of knot theory

Introduction to Mathematical Modeling (Paperback): Mayer Humi Introduction to Mathematical Modeling (Paperback)
Mayer Humi
R1,529 Discovery Miles 15 290 Ships in 12 - 19 working days

Introduction to Mathematical Modeling helps students master the processes used by scientists and engineers to model real-world problems, including the challenges posed by space exploration, climate change, energy sustainability, chaotic dynamical systems and random processes. Primarily intended for students with a working knowledge of calculus but minimal training in computer programming in a first course on modeling, the more advanced topics in the book are also useful for advanced undergraduate and graduate students seeking to get to grips with the analytical, numerical, and visual aspects of mathematical modeling, as well as the approximations and abstractions needed for the creation of a viable model.

School Zone Counting 1-10 Workbook (Paperback): School Zone School Zone Counting 1-10 Workbook (Paperback)
School Zone 1
R136 Discovery Miles 1 360 Ships in 10 - 15 working days
British Logic in the Nineteenth Century, Volume 4 (Hardcover, 4th edition): Dov M. Gabbay, John Woods British Logic in the Nineteenth Century, Volume 4 (Hardcover, 4th edition)
Dov M. Gabbay, John Woods
R6,940 Discovery Miles 69 400 Ships in 10 - 15 working days

The present volume of the "Handbook of the History of Logic" is designed to establish 19th century Britain as a substantial force in logic, developing new ideas, some of which would be overtaken by, and other that would anticipate, the century's later capitulation to the mathematization of logic.
"British Logic in the Nineteenth Century" is indispensable reading and a definitive research resource for anyone with an interest in the history of logic.
- Detailed and comprehensive chapters covering the entire range of modal logic
- Contains the latest scholarly discoveries and interpretative insights that answer many questions in the field of logic

Non-Abelian Homological Algebra and Its Applications (Hardcover, 1997 ed.): Hvedri Inassaridze Non-Abelian Homological Algebra and Its Applications (Hardcover, 1997 ed.)
Hvedri Inassaridze
R4,505 Discovery Miles 45 050 Ships in 10 - 15 working days

While in classical (abelian) homological algebra additive functors from abelian (or additive) categories to abelian categories are investigated , non- abelian homological algebra deals with non-additive functors and their homological properties , in particular with functors having values in non-abelian categories. Such functors haveimportant applications in algebra, algebraic topology, functional analysis, algebraic geometry and other principal areas of mathematics. To study homological properties of non-additive functors it is necessary to define and investigate their derived functors and satellites. It will be the aim of this book based on the results of researchers of A. Razmadze Mathematical Institute of the Georgian Academy of Sciences devoted to non-abelian homological algebra. The most important considered cases will be functors from arbitrary categories to the category of modules, group valued functors and commutative semigroup valued functors. In Chapter I universal sequences of functors are defined and in- vestigated with respect to (co)presheaves of categories, extending in a natural way the satellites of additive functors to the non-additive case and generalizing the classical relative homological algebra in additive categories to arbitrary categories. Applications are given in the furth- coming chapters. Chapter II is devoted to the non-abelian derived functors of group valued functors with respect to projective classes using projective pseu- dosimplicial resolutions. Their functorial properties (exactness, Milnor exact sequence, relationship with cotriple derived functors, satellites and Grothendieck cohomology, spectral sequence of an epimorphism, degree of an arbitrary functor) are established and applications to ho- mology and cohomology of groups are given.

In Search of Infinity (Hardcover, 3rd edition): N. Ya Vilenkin In Search of Infinity (Hardcover, 3rd edition)
N. Ya Vilenkin
R1,605 Discovery Miles 16 050 Ships in 10 - 15 working days

The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians pondered over its contradictory nature. In mathematics, the contradictions connected with infinity intensified after the creation, at the end of the 19th century, of the theory of infinite sets and the subsequent discovery, soon after, of paradoxes in this theory. At the time, many scientists ignored the paradoxes and used set theory extensively in their work, while others subjected set-theoretic methods in mathematics to harsh criticism. The debate intensified when a group of French mathematicians, who wrote under the pseudonym of Nicolas Bourbaki, tried to erect the whole edifice of mathematics on the single notion of a set. Some mathematicians greeted this attempt enthusiastically while others regarded it as an unnecessary formalization, an attempt to tear mathematics away from life-giving practical applications that sustain it. These differences notwithstanding, Bourbaki has had a significant influence on the evolution of mathematics in the twentieth century. In this book we try to tell the reader how the idea of the infinite arose and developed in physics and in mathematics, how the theory of infinite sets was constructed, what paradoxes it has led to, what significant efforts have been made to eliminate the resulting contradictions, and what routes scientists are trying to find that would provide a way out of the many difficulties.

Automated Development of Fundamental Mathematical Theories (Hardcover, 1993 ed.): Art Quaife Automated Development of Fundamental Mathematical Theories (Hardcover, 1993 ed.)
Art Quaife
R6,213 Discovery Miles 62 130 Ships in 10 - 15 working days

The author provides an introduction to automated reasoning, and in particular to resolution theorem proving using the prover OTTER. He presents a new clausal version of von Neumann-Bernays-Goedel set theory, and lists over 400 theorems proved semiautomatically in elementary set theory. He presents a semiautomated proof that the composition of homomorphisms is a homomorphism, thus solving a challenge problem. The author next develops Peano's arithmetic, and gives more than 1200 definitions and theorems in elementary number theory. He gives part of the proof of the fundamental theorem of arithmetic (unique factorization), and gives and OTTER-generated proof of Euler's generalization of Fermat's theorem. Next he develops Tarski's geometry within OTTER. He obtains proofs of most of the challenge problems appearing in the literature, and offers further challenges. He then formalizes the modal logic calculus K4, in order to obtain very high level automated proofs of Loeb's theorem, and of Goedel's two incompleteness theorems. Finally he offers thirty-one unsolved problems in elementary number theory as challenge problems.

Number Theory and Modular Forms - Papers in Memory of Robert A. Rankin (Hardcover): Bruce C. Berndt, Ken Ono Number Theory and Modular Forms - Papers in Memory of Robert A. Rankin (Hardcover)
Bruce C. Berndt, Ken Ono
R3,111 Discovery Miles 31 110 Ships in 10 - 15 working days

Robert A. Rankin, one of the world's foremost authorities on modular forms and a founding editor of The Ramanujan Journal, died on January 27, 2001, at the age of 85. Rankin had broad interests and contributed fundamental papers in a wide variety of areas within number theory, geometry, analysis, and algebra. To commemorate Rankin's life and work, the editors have collected together 25 papers by several eminent mathematicians reflecting Rankin's extensive range of interests within number theory. Many of these papers reflect Rankin's primary focus in modular forms. It is the editors' fervent hope that mathematicians will be stimulated by these papers and gain a greater appreciation for Rankin's contributions to mathematics.
This volume would be an inspiration to students and researchers in the areas of number theory and modular forms.

Quadratic Forms, Linear Algebraic Groups, and Cohomology (English, French, Hardcover, 2010 ed.): Jean-Louis Colliot-Thelene,... Quadratic Forms, Linear Algebraic Groups, and Cohomology (English, French, Hardcover, 2010 ed.)
Jean-Louis Colliot-Thelene, Skip Garibaldi, R. Sujatha, Venapally Suresh
R3,079 Discovery Miles 30 790 Ships in 10 - 15 working days

We dedicate this volume to Professor Parimala on the occasion of her 60th birthday. It contains a variety of papers related to the themes of her research. Parimala's rst striking result was a counterexample to a quadratic analogue of Serre's conjecture (Bulletin of the American Mathematical Society, 1976). Her in uence has cont- ued through her tenure at the Tata Institute of Fundamental Research in Mumbai (1976-2006),and now her time at Emory University in Atlanta (2005-present). A conference was held from 30 December 2008 to 4 January 2009, at the U- versity of Hyderabad, India, to celebrate Parimala's 60th birthday (see the conf- ence's Web site at http://mathstat.uohyd.ernet.in/conf/quadforms2008). The or- nizing committee consisted of J.-L. Colliot-Thel ' en ' e, Skip Garibaldi, R. Sujatha, and V. Suresh. The present volume is an outcome of this event. We would like to thank all the participants of the conference, the authors who have contributed to this volume, and the referees who carefully examined the s- mitted papers. We would also like to thank Springer-Verlag for readily accepting to publish the volume. In addition, the other three editors of the volume would like to place on record their deep appreciation of Skip Garibaldi's untiring efforts toward the nal publication.

Concise Introduction to Logic and Set Theory (Hardcover): Iqbal H. Jebril, Hemen Dutta, Ilwoo Cho Concise Introduction to Logic and Set Theory (Hardcover)
Iqbal H. Jebril, Hemen Dutta, Ilwoo Cho
R4,827 Discovery Miles 48 270 Ships in 9 - 17 working days

This book deals with two important branches of mathematics, namely, logic and set theory. Logic and set theory are closely related and play very crucial roles in the foundation of mathematics, and together produce several results in all of mathematics. The topics of logic and set theory are required in many areas of physical sciences, engineering, and technology. The book offers solved examples and exercises, and provides reasonable details to each topic discussed, for easy understanding. The book is designed for readers from various disciplines where mathematical logic and set theory play a crucial role. The book will be of interested to students and instructors in engineering, mathematics, computer science, and technology.

Triangular Norms (Hardcover, 2000 ed.): Erich Peter Klement, R. Mesiar, E. Pap Triangular Norms (Hardcover, 2000 ed.)
Erich Peter Klement, R. Mesiar, E. Pap
R5,815 Discovery Miles 58 150 Ships in 10 - 15 working days

This book discusses the theory of triangular norms and surveys several applied fields in which triangular norms play a significant part: probabilistic metric spaces, aggregation operators, many-valued logics, fuzzy logics, sets and control, and non-additive measures together with their corresponding integrals. It includes many graphical illustrations and gives a well-balanced picture of theory and applications. It is for mathematicians, computer scientists, applied computer scientists and engineers.

The Steiner Ratio (Hardcover, 2001 ed.): Dietmar Cieslik The Steiner Ratio (Hardcover, 2001 ed.)
Dietmar Cieslik
R3,020 Discovery Miles 30 200 Ships in 10 - 15 working days

Steiner's Problem concerns finding a shortest interconnecting network for a finite set of points in a metric space. A solution must be a tree, which is called a Steiner Minimal Tree (SMT), and may contain vertices different from the points which are to be connected. Steiner's Problem is one of the most famous combinatorial-geometrical problems, but unfortunately it is very difficult in terms of combinatorial structure as well as computational complexity. However, if only a Minimum Spanning Tree (MST) without additional vertices in the interconnecting network is sought, then it is simple to solve. So it is of interest to know what the error is if an MST is constructed instead of an SMT. The worst case for this ratio running over all finite sets is called the Steiner ratio of the space. The book concentrates on investigating the Steiner ratio. The goal is to determine, or at least estimate, the Steiner ratio for many different metric spaces. The author shows that the description of the Steiner ratio contains many questions from geometry, optimization, and graph theory. Audience: Researchers in network design, applied optimization, and design of algorithms.

Spherical Inversion on SLn(R) (Hardcover, 2001 ed.): Jay Jorgenson, Serge Lang Spherical Inversion on SLn(R) (Hardcover, 2001 ed.)
Jay Jorgenson, Serge Lang
R2,958 Discovery Miles 29 580 Ships in 10 - 15 working days

Harish-Chandra¿s general Plancherel inversion theorem admits a much shorter presentation for spherical functions. Previous expositions have dealt with a general, wide class of Lie groups. This has made access to the subject difficult for outsiders, who may wish to connect some aspects with several if not all other parts of mathematics. In this book, the essential features of Harish-Chandra theory are exhibited on SLn(R), but hundreds of pages of background are replaced by short direct verifications. The material is accessible to graduate students with no background in Lie groups and representation theory.

Fuzzy Modeling with Spatial Information for Geographic Problems (Hardcover, 2005 ed.): Frederick E. Petry, Vincent B. Robinson,... Fuzzy Modeling with Spatial Information for Geographic Problems (Hardcover, 2005 ed.)
Frederick E. Petry, Vincent B. Robinson, Maria A. Cobb
R5,779 Discovery Miles 57 790 Ships in 10 - 15 working days

The capabilities of modern technology are rapidly increasing, spurred on to a large extent by the tremendous advances in communications and computing. Automated vehicles and global wireless connections are some examples of these advances. In order to take advantage of such enhanced capabilities, our need to model and manipulate our knowledge of the geophysical world, using compatible representations, is also rapidly increasing. In response to this one fundamental issue of great concern in modern geographical research is how to most effectively capture the physical world around us in systems like geographical information systems (GIS). Making this task even more challenging is the fact that uncertainty plays a pervasive role in the representation, analysis and use of geospatial information. The types of uncertainty that appear in geospatial information systems are not the just simple randomness of observation, as in weather data, but are manifested in many other forms including imprecision, incompleteness and granularization. Describing the uncertainty of the boundaries of deserts and mountains clearly require different tools than those provided by probability theory. The multiplicity of modalities of uncertainty appearing in GIS requires a variety of formalisms to model these uncertainties. In light of this it is natural that fuzzy set theory has become a topic of intensive interest in many areas of geographical research and applications This volume, Fuzzy Modeling with Spatial Information for Geographic Problems, provides many stimulating examples of advances in geographical research based on approaches using fuzzy sets and related technologies.

Lewis Carroll's Cats And Rats... And Other Puzzles With Interesting Tails (Hardcover): Yossi Elran Lewis Carroll's Cats And Rats... And Other Puzzles With Interesting Tails (Hardcover)
Yossi Elran
R1,079 Discovery Miles 10 790 Ships in 10 - 15 working days

British-Israeli recreational mathematician, communicator and educator, Yossi Elran explores in-depth six of the most ingenious math puzzles, exposing their long 'tails': the stories, trivia, quirks and oddities of their history and, of course, the math and mathematicians behind them. In his unique 'talmudic', associative way, Elran shows the hidden connections between Lewis Carroll's 'Cats and Rats' puzzle and the math of taxi driving, a number pyramid magic trick and Hollywood movie fractals, and even how packing puzzles are related to COVID-19!Elran has a great talent for explaining difficult topics - including quantum mechanics, a topic he relates to some original 'operator' puzzles - making the book very accessible for all audiences.With over 40 additional, original puzzles, and touching on dozens of hot math topics, this is a perfect book for math lovers, educators, kids and adults, and anyone who loves a great read.Yossi Elran is co-author of our bestselling The Paper Puzzle Book, and heads the Innovation Center at the Davidson Institute of Science Education, the educational arm of the world-renowned Weizmann Institute of Science in Israel.

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