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Books > Science & Mathematics > Mathematics > Mathematical foundations

Primary Maths for Scotland Textbook 2A - For Curriculum for Excellence Primary Maths (Paperback, Edition): Craig Lowther,... Primary Maths for Scotland Textbook 2A - For Curriculum for Excellence Primary Maths (Paperback, Edition)
Craig Lowther, Antoinette Irwin, Carol Lyon, Kirsten Mackay, Felicity Martin, …
R325 R255 Discovery Miles 2 550 Save R70 (22%) Ships in 12 - 17 working days

Primary Maths for Scotland Textbook 2A is the first of 3 second level textbooks. These engaging and pedagogically rigorous books are the first maths textbooks for Scotland completely aligned to the benchmarks and written specifically to support Scottish children in mastering mathematics at their own pace. Primary Maths for Scotland Textbook 2A is the first of 3 second level textbooks. The books are clear and simple with a focus on developing conceptual understanding alongside procedural fluency. They cover the entire second level mathematics Curriculum for Excellence in an easy-to-use set of textbooks which can fit in with teacher's existing planning, resources and scheme of work. - Packed with problem-solving, investigations and challenging problems - Diagnostic check lists at the start of each unit ensure that pupils possess the required pre-requisite knowledge to engage on the unit of work - Worked examples and non-examples help pupils fully understand mathematical concepts - Includes intelligent practice that reinforces pupils' procedural fluency

Primary Maths for Scotland Textbook 1C - For Curriculum for Excellence Primary Maths (Paperback, Edition): Craig Lowther,... Primary Maths for Scotland Textbook 1C - For Curriculum for Excellence Primary Maths (Paperback, Edition)
Craig Lowther, Antoinette Irwin, Carol Lyon, Kirsten Mackay, Felicity Martin, …
R272 R216 Discovery Miles 2 160 Save R56 (21%) Ships in 12 - 17 working days

Primary Maths for Scotland Textbook 1C is the third of 3 first level textbooks. These engaging and pedagogically rigorous books are the first maths textbooks for Scotland completely aligned to the benchmarks and written specifically to support Scottish children in mastering mathematics at their own pace. Primary Maths for Scotland Textbook 1C is the third of 3 first level textbooks. The books are clear and simple with a focus on developing conceptual understanding alongside procedural fluency. They cover the entire first level mathematics Curriculum for Excellence in an easy-to-use set of textbooks which can fit in with teacher's existing planning, resources and scheme of work. - Packed with problem-solving, investigations and challenging problems - Diagnostic check lists at the start of each unit ensure that pupils possess the required pre-requisite knowledge to engage on the unit of work - Worked examples and non-examples help pupils fully understand mathematical concepts - Includes intelligent practice that reinforces pupils' procedural fluency

Maths on the Back of an Envelope - Clever Ways to (Roughly) Calculate Anything (Hardcover): Rob Eastaway Maths on the Back of an Envelope - Clever Ways to (Roughly) Calculate Anything (Hardcover)
Rob Eastaway 1
R263 R207 Discovery Miles 2 070 Save R56 (21%) Ships in 12 - 17 working days

'Another terrific book by Rob Eastaway' SIMON SINGH 'A delightfully accessible guide to how to play with numbers' HANNAH FRY How many cats are there in the world? What's the chance of winning the lottery twice? And just how long does it take to count to a million? Learn how to tackle tricky maths problems with nothing but the back of an envelope, a pencil and some good old-fashioned brain power. Join Rob Eastaway as he takes an entertaining look at how to figure without a calculator. Packed with amusing anecdotes, quizzes, and handy calculation tips for every situation, Maths on the Back of an Envelope is an invaluable introduction to the art of estimation, and a welcome reminder that sometimes our own brain is the best tool we have to deal with numbers.

Elements of Geometry Upon the Inductive Method (Paperback): James Hayward Elements of Geometry Upon the Inductive Method (Paperback)
James Hayward
R388 Discovery Miles 3 880 Ships in 12 - 17 working days
An Invitation to Applied Category Theory - Seven Sketches in Compositionality (Paperback): Brendan Fong, David I. Spivak An Invitation to Applied Category Theory - Seven Sketches in Compositionality (Paperback)
Brendan Fong, David I. Spivak
R1,009 Discovery Miles 10 090 Ships in 12 - 17 working days

Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science, informatics, and industry. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the potential to be a major organizing force. This book offers a self-contained tour of applied category theory. Each chapter follows a single thread motivated by a real-world application and discussed with category-theoretic tools. We see data migration as an adjoint functor, electrical circuits in terms of monoidal categories and operads, and collaborative design via enriched profunctors. All the relevant category theory, from simple to sophisticated, is introduced in an accessible way with many examples and exercises, making this an ideal guide even for those without experience of university-level mathematics.

Point Processes and Jump Diffusions - An Introduction with Finance Applications (Hardcover, New edition): Tomas Bjoerk Point Processes and Jump Diffusions - An Introduction with Finance Applications (Hardcover, New edition)
Tomas Bjoerk
R1,177 Discovery Miles 11 770 Ships in 12 - 17 working days

The theory of marked point processes on the real line is of great and increasing importance in areas such as insurance mathematics, queuing theory and financial economics. However, the theory is often viewed as technically and conceptually difficult and has proved to be a block for PhD students looking to enter the area. This book gives an intuitive picture of the central concepts as well as the deeper results, while presenting the mathematical theory in a rigorous fashion and discussing applications in filtering theory and financial economics. Consequently, readers will get a deep understanding of the theory and how to use it. A number of exercises of differing levels of difficulty are included, providing opportunities to put new ideas into practice. Graduate students in mathematics, finance and economics will gain a good working knowledge of point-process theory, allowing them to progress to independent research.

Games for Your Mind - The History and Future of Logic Puzzles (Hardcover): Jason Rosenhouse Games for Your Mind - The History and Future of Logic Puzzles (Hardcover)
Jason Rosenhouse
R618 R516 Discovery Miles 5 160 Save R102 (17%) Ships in 7 - 11 working days

A lively and engaging look at logic puzzles and their role in recreation, mathematics, and philosophy Logic puzzles were first introduced to the public by Lewis Carroll in the late nineteenth century and have been popular ever since. Games like Sudoku and Mastermind are fun and engrossing recreational activities, but they also share deep foundations in mathematical logic and are worthy of serious intellectual inquiry. Games for Your Mind explores the history and future of logic puzzles while enabling you to test your skill against a variety of puzzles yourself. In this informative and entertaining book, Jason Rosenhouse begins by introducing readers to logic and logic puzzles and goes on to reveal the rich history of these puzzles. He shows how Carroll's puzzles presented Aristotelian logic as a game for children, yet also informed his scholarly work on logic. He reveals how another pioneer of logic puzzles, Raymond Smullyan, drew on classic puzzles about liars and truthtellers to illustrate Kurt Goedel's theorems and illuminate profound questions in mathematical logic. Rosenhouse then presents a new vision for the future of logic puzzles based on nonclassical logic, which is used today in computer science and automated reasoning to manipulate large and sometimes contradictory sets of data. Featuring a wealth of sample puzzles ranging from simple to extremely challenging, this lively and engaging book brings together many of the most ingenious puzzles ever devised, including the "Hardest Logic Puzzle Ever," metapuzzles, paradoxes, and the logic puzzles in detective stories.

Recursive Analysis (Paperback, Dover): R.L. Goodstein Recursive Analysis (Paperback, Dover)
R.L. Goodstein
R239 R203 Discovery Miles 2 030 Save R36 (15%) Ships in 7 - 11 working days

Recursive analysis develops natural number computations into a framework appropriate for real numbers. This text is based upon primary recursive arithmetic and presents a unique combination of classical analysis and intuitional analysis. Written by a master in the field, it is suitable for graduate students of mathematics and computer science and can be read without a detailed knowledge of recursive arithmetic.
Introductory chapters on recursive convergence and recursive and relative continuity are succeeded by explorations of recursive and relative differentiability, the relative integral, and the elementary functions. A final chapter examines transfinite ordinals, and the text concludes with a helpful appendix of topics related to recursive irrationality and transcendence.

The Facts Matter - Essays on Logic and Cognition in Honour of Rineke Verbrugge (Paperback): Sujata Ghosh The Facts Matter - Essays on Logic and Cognition in Honour of Rineke Verbrugge (Paperback)
Sujata Ghosh
R359 Discovery Miles 3 590 Ships in 12 - 17 working days
Abstract Sets and Finite Ordinals - An Introduction to the Study of Set Theory (Paperback): G.B. Keene Abstract Sets and Finite Ordinals - An Introduction to the Study of Set Theory (Paperback)
G.B. Keene
R203 R173 Discovery Miles 1 730 Save R30 (15%) Ships in 7 - 11 working days

This text unites the logical and philosophical aspects of set theory in a manner intelligible both to mathematicians without training in formal logic and to logicians without a mathematical background. It combines an elementary level of treatment with the highest possible degree of logical rigor and precision.
Starting with an explanation of all the basic logical terms and related operations, the text progresses through a stage-by-stage elaboration that proves the fundamental theorems of finite sets. It focuses on the Bernays theory of finite classes and finite sets, exploring the system's basis and development, including Stage I and Stage II theorems, the theory of finite ordinals, and the theory of finite classes and finite sets. This volume represents an excellent text for undergraduates studying intermediate or advanced logic as well as a fine reference for professional mathematicians.

Best Books gegradeerde leesreeks: Vlak 1 Boek 2: Gr 2: Leesboek - Huistaal (Afrikaans, Paperback): Best Books Best Books gegradeerde leesreeks: Vlak 1 Boek 2: Gr 2: Leesboek - Huistaal (Afrikaans, Paperback)
Best Books
R77 R66 Discovery Miles 660 Save R11 (14%) Ships in 7 - 11 working days
From Quantum Information to Musical Semantics (Paperback): Maria Luisa Dalla Chiara, Roberto Giuntini, Elenora Negri From Quantum Information to Musical Semantics (Paperback)
Maria Luisa Dalla Chiara, Roberto Giuntini, Elenora Negri
R439 Discovery Miles 4 390 Ships in 12 - 17 working days

What link might connect two far worlds like quantum theory and music? There is something universal in the mathematical formalism of quantum theory that goes beyond the limits of its traditional physical applications. We are now beginning to understand how some mysterious quantum concepts, like superposition and entanglement, can be used as a semantic resource.

Student-friendly basic mathematics (Paperback, Reissue): Magda Botha Student-friendly basic mathematics (Paperback, Reissue)
Magda Botha
R300 R278 Discovery Miles 2 780 Save R22 (7%) Ships in 7 - 10 working days

This accessible guide is intended for those persons who need to polish up their rusty maths, or who need to get a grip on the basics of the subject for the first time. Each concept is explained, with appropriate examples, and is applied in an exercise. The solutions to all exercises are set out in detail. The book uses informal conversational language and will change the perception that mathematics is only for special people. The author has taught the subject at different levels for many years.

Exploring Mathematics - An Engaging Introduction to Proof (Hardcover): John Meier, Derek Smith Exploring Mathematics - An Engaging Introduction to Proof (Hardcover)
John Meier, Derek Smith 2
R1,108 Discovery Miles 11 080 Ships in 12 - 17 working days

Exploring Mathematics gives students experience with doing mathematics - interrogating mathematical claims, exploring definitions, forming conjectures, attempting proofs, and presenting results - and engages them with examples, exercises, and projects that pique their interest. Written with a minimal number of pre-requisites, this text can be used by college students in their first and second years of study, and by independent readers who want an accessible introduction to theoretical mathematics. Core topics include proof techniques, sets, functions, relations, and cardinality, with selected additional topics that provide many possibilities for further exploration. With a problem-based approach to investigating the material, students develop interesting examples and theorems through numerous exercises and projects. In-text exercises, with complete solutions or robust hints included in an appendix, help students explore and master the topics being presented. The end-of-chapter exercises and projects provide students with opportunities to confirm their understanding of core material, learn new concepts, and develop mathematical creativity.

An Invitation to Model Theory (Paperback): Jonathan Kirby An Invitation to Model Theory (Paperback)
Jonathan Kirby
R726 Discovery Miles 7 260 Ships in 12 - 17 working days

Model theory begins with an audacious idea: to consider statements about mathematical structures as mathematical objects of study in their own right. While inherently important as a tool of mathematical logic, it also enjoys connections to and applications in diverse branches of mathematics, including algebra, number theory and analysis. Despite this, traditional introductions to model theory assume a graduate-level background of the reader. In this innovative textbook, Jonathan Kirby brings model theory to an undergraduate audience. The highlights of basic model theory are illustrated through examples from specific structures familiar from undergraduate mathematics, paying particular attention to definable sets throughout. With numerous exercises of varying difficulty, this is an accessible introduction to model theory and its place in mathematics.

First-Order Logic (Paperback): Raymond M Smullyan First-Order Logic (Paperback)
Raymond M Smullyan
R226 R194 Discovery Miles 1 940 Save R32 (14%) Ships in 7 - 11 working days

An introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods.

Logic and Boolean Algebra (Paperback): Bradford Henry Arnold Logic and Boolean Algebra (Paperback)
Bradford Henry Arnold
R268 R230 Discovery Miles 2 300 Save R38 (14%) Ships in 7 - 11 working days

This volume concentrates on the structure of Boolean algebras and rings as developed through simpler algebraic systems. The algebra of logic and set theory appears as applications or illustrations throughout, and numerous problems form an integral part of the text. No prior knowledge of Boolean algebra is necessary.
The text begins with a consideration of some concepts of intuitive logic. Subsequent chapters introduce Boolean functions, basic ordered sets, and a succession of algebraic systems. An examination of the principle of duality leads to a final chapter on applications, including electrical networks and computer design. Suitable for courses in computer design, circuit analysis, and switching circuits, this volume can also serve as a reference for professionals.

Logic in Elementary Mathematics (Paperback): Robert M. Exner, Myron F. Rosskopf Logic in Elementary Mathematics (Paperback)
Robert M. Exner, Myron F. Rosskopf
R407 R348 Discovery Miles 3 480 Save R59 (14%) Ships in 7 - 11 working days

This accessible, applications-related introductory treatment explores some of the structure of modern symbolic logic useful in the exposition of elementary mathematics. Topics include axiomatic structure and the relation of theory to interpretation. No prior training in logic is necessary, and numerous examples and exercises aid in the mastery of the language of logic. 1959 edition.

Maths on the Back of an Envelope - Clever Ways to (Roughly) Calculate Anything (Paperback): Rob Eastaway Maths on the Back of an Envelope - Clever Ways to (Roughly) Calculate Anything (Paperback)
Rob Eastaway
R180 Discovery Miles 1 800 Ships in 12 - 17 working days

'Another terrific book by Rob Eastaway' SIMON SINGH 'A delightfully accessible guide to how to play with numbers' HANNAH FRY How many cats are there in the world? What's the chance of winning the lottery twice? And just how long does it take to count to a million? Learn how to tackle tricky maths problems with nothing but the back of an envelope, a pencil and some good old-fashioned brain power. Join Rob Eastaway as he takes an entertaining look at how to figure without a calculator. Packed with amusing anecdotes, quizzes, and handy calculation tips for every situation, Maths on the Back of an Envelope is an invaluable introduction to the art of estimation, and a welcome reminder that sometimes our own brain is the best tool we have to deal with numbers.

Logic for Mathematicians (Paperback, 2nd edition): J.Barkley Rosser, Mathematics Logic for Mathematicians (Paperback, 2nd edition)
J.Barkley Rosser, Mathematics
R651 R549 Discovery Miles 5 490 Save R102 (16%) Ships in 7 - 11 working days

Examination of essential topics and theorems assumes no background in logic. "Undoubtedly a major addition to the literature of mathematical logic." -- "Bulletin of the American Mathematical Society." 1978 edition.

The Axiom of Choice (Paperback, Dover): Thomas J Jech The Axiom of Choice (Paperback, Dover)
Thomas J Jech
R303 R259 Discovery Miles 2 590 Save R44 (15%) Ships in 7 - 11 working days

Comprehensive in its selection of topics and results, this self-contained text examines the relative strengths and the consequences of the axiom of choice. Subjects include consistency and independence, permutation models, and examples and counterexamples of the axiom's use. Each chapter contains several problems and concludes with some historical remarks. 1973 edition.

Developmental Mathematics: Pearson New International Edition (Paperback, 8th edition): Marvin Bittinger, Judith Beecher Developmental Mathematics: Pearson New International Edition (Paperback, 8th edition)
Marvin Bittinger, Judith Beecher
R2,069 Discovery Miles 20 690 Ships in 12 - 17 working days

The Bittinger Worktext Series changed the face of developmental education with the introduction of objective-based worktexts that presented math one concept at a time. This approach allowed students to understand the rationale behind each concept before practicing the associated skills and then moving on to the next topic. With this revision, Marv Bittinger continues to focus on building success through conceptual understanding, while also supporting students with quality applications, exercises, and new review and study materials to help them apply and retain their knowledge.

Combinators - A Centennial View (Hardcover): Stephen Wolfram Combinators - A Centennial View (Hardcover)
Stephen Wolfram
R851 R704 Discovery Miles 7 040 Save R147 (17%) Ships in 7 - 11 working days
Paradoxes and Inconsistent Mathematics (Hardcover): Zach Weber Paradoxes and Inconsistent Mathematics (Hardcover)
Zach Weber
R1,857 Discovery Miles 18 570 Ships in 12 - 17 working days

Logical paradoxes - like the Liar, Russell's, and the Sorites - are notorious. But in Paradoxes and Inconsistent Mathematics, it is argued that they are only the noisiest of many. Contradictions arise in the everyday, from the smallest points to the widest boundaries. In this book, Zach Weber uses "dialetheic paraconsistency" - a formal framework where some contradictions can be true without absurdity - as the basis for developing this idea rigorously, from mathematical foundations up. In doing so, Weber directly addresses a longstanding open question: how much standard mathematics can paraconsistency capture? The guiding focus is on a more basic question, of why there are paradoxes. Details underscore a simple philosophical claim: that paradoxes are found in the ordinary, and that is what makes them so extraordinary.

Uncountable - A Philosophical History of Number and Humanity from Antiquity to the Present (Hardcover): David Nirenberg,... Uncountable - A Philosophical History of Number and Humanity from Antiquity to the Present (Hardcover)
David Nirenberg, Ricardo L Nirenberg
R633 R531 Discovery Miles 5 310 Save R102 (16%) Ships in 7 - 11 working days

Our knowledge of mathematics has structured much of what we think we know about ourselves as individuals and communities, shaping our psychologies, sociologies, and economies. In pursuit of a more predictable and more controllable cosmos, we have extended mathematical insights and methods to more and more aspects of the world. Today those powers are greater than ever, as computation is applied to virtually every aspect of human activity. Yet, in the process, are we losing sight of the human? When we apply mathematics so broadly, what do we gain and what do we lose, and at what risk to humanity? These are the questions that David and Ricardo L. Nirenberg ask in Uncountable, a provocative account of how numerical relations became the cornerstone of human claims to knowledge, truth, and certainty. There is a limit to these number-based claims, they argue, which they set out to explore. The Nirenbergs, father and son, bring together their backgrounds in math, history, literature, religion, and philosophy, interweaving scientific experiments with readings of poems, setting crises in mathematics alongside world wars, and putting medieval Muslim and Buddhist philosophers in conversation with Einstein, Schroedinger, and other giants of modern physics. The result is a powerful lesson in what counts as knowledge and its deepest implications for how we live our lives.

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