Author: Jesse Sakari Hyttinen
Publisher: BoD - Books on Demand
ISBN: 9528046932
Category : Mathematics
Languages : en
Pages : 167
Book Description
Have you ever wondered what a mathematical language of trees would be like? Would you like to know how it is linked to homeomorphically irreducible trees, and the case n = 10? Perhaps you are more interested in some experimental theorems, like the theorem of sum forms? Or some famous numbers, like Euler's number and pi? How about some fun experimentation with the Collatz conjecture? Or maybe you are an odd one and want to see some possibly controversial, but not entirely pseudo-mathematical ideas? Should your answer to any of these questions be yes, then join this experimentally wonderful journey to mathematical truth!
One theorem started it all
Author: Jesse Sakari Hyttinen
Publisher: BoD - Books on Demand
ISBN: 9528046932
Category : Mathematics
Languages : en
Pages : 167
Book Description
Have you ever wondered what a mathematical language of trees would be like? Would you like to know how it is linked to homeomorphically irreducible trees, and the case n = 10? Perhaps you are more interested in some experimental theorems, like the theorem of sum forms? Or some famous numbers, like Euler's number and pi? How about some fun experimentation with the Collatz conjecture? Or maybe you are an odd one and want to see some possibly controversial, but not entirely pseudo-mathematical ideas? Should your answer to any of these questions be yes, then join this experimentally wonderful journey to mathematical truth!
Publisher: BoD - Books on Demand
ISBN: 9528046932
Category : Mathematics
Languages : en
Pages : 167
Book Description
Have you ever wondered what a mathematical language of trees would be like? Would you like to know how it is linked to homeomorphically irreducible trees, and the case n = 10? Perhaps you are more interested in some experimental theorems, like the theorem of sum forms? Or some famous numbers, like Euler's number and pi? How about some fun experimentation with the Collatz conjecture? Or maybe you are an odd one and want to see some possibly controversial, but not entirely pseudo-mathematical ideas? Should your answer to any of these questions be yes, then join this experimentally wonderful journey to mathematical truth!
All the Mathematics You Missed
Author: Thomas A. Garrity
Publisher: 清华大学出版社有限公司
ISBN: 9787302090854
Category : Mathematics
Languages : en
Pages : 380
Book Description
Publisher: 清华大学出版社有限公司
ISBN: 9787302090854
Category : Mathematics
Languages : en
Pages : 380
Book Description
How Not to Be Wrong
Author: Jordan Ellenberg
Publisher: Penguin Press
ISBN: 1594205221
Category : Mathematics
Languages : en
Pages : 480
Book Description
A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.
Publisher: Penguin Press
ISBN: 1594205221
Category : Mathematics
Languages : en
Pages : 480
Book Description
A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.
Principia Mathematica
Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 688
Book Description
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 688
Book Description
Concrete Semantics
Author: Tobias Nipkow
Publisher: Springer
ISBN: 3319105426
Category : Computers
Languages : en
Pages : 304
Book Description
Part I of this book is a practical introduction to working with the Isabelle proof assistant. It teaches you how to write functional programs and inductive definitions and how to prove properties about them in Isabelle’s structured proof language. Part II is an introduction to the semantics of imperative languages with an emphasis on applications like compilers and program analysers. The distinguishing feature is that all the mathematics has been formalised in Isabelle and much of it is executable. Part I focusses on the details of proofs in Isabelle; Part II can be read even without familiarity with Isabelle’s proof language, all proofs are described in detail but informally. The book teaches the reader the art of precise logical reasoning and the practical use of a proof assistant as a surgical tool for formal proofs about computer science artefacts. In this sense it represents a formal approach to computer science, not just semantics. The Isabelle formalisation, including the proofs and accompanying slides, are freely available online, and the book is suitable for graduate students, advanced undergraduate students, and researchers in theoretical computer science and logic.
Publisher: Springer
ISBN: 3319105426
Category : Computers
Languages : en
Pages : 304
Book Description
Part I of this book is a practical introduction to working with the Isabelle proof assistant. It teaches you how to write functional programs and inductive definitions and how to prove properties about them in Isabelle’s structured proof language. Part II is an introduction to the semantics of imperative languages with an emphasis on applications like compilers and program analysers. The distinguishing feature is that all the mathematics has been formalised in Isabelle and much of it is executable. Part I focusses on the details of proofs in Isabelle; Part II can be read even without familiarity with Isabelle’s proof language, all proofs are described in detail but informally. The book teaches the reader the art of precise logical reasoning and the practical use of a proof assistant as a surgical tool for formal proofs about computer science artefacts. In this sense it represents a formal approach to computer science, not just semantics. The Isabelle formalisation, including the proofs and accompanying slides, are freely available online, and the book is suitable for graduate students, advanced undergraduate students, and researchers in theoretical computer science and logic.
The Beginning of Infinity
Author: David Deutsch
Publisher: Penguin UK
ISBN: 0141969695
Category : Science
Languages : en
Pages : 571
Book Description
'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman
Publisher: Penguin UK
ISBN: 0141969695
Category : Science
Languages : en
Pages : 571
Book Description
'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman
Concrete Approach to Abstract Algebra
Author: W. W. Sawyer
Publisher: Courier Dover Publications
ISBN: 0486824616
Category : Mathematics
Languages : en
Pages : 241
Book Description
Brief, clear, and well written, this introductory treatment bridges the gap between traditional and modern algebra. Includes exercises with complete solutions. The only prerequisite is high school-level algebra. 1959 edition.
Publisher: Courier Dover Publications
ISBN: 0486824616
Category : Mathematics
Languages : en
Pages : 241
Book Description
Brief, clear, and well written, this introductory treatment bridges the gap between traditional and modern algebra. Includes exercises with complete solutions. The only prerequisite is high school-level algebra. 1959 edition.
Introduction to Formal Languages, Automata Theory and Computation
Author: Kamala Krithivasan
Publisher: Pearson Education India
ISBN: 9788131723562
Category : Computable functions
Languages : en
Pages : 446
Book Description
Introduction to Formal Languages, Automata Theory and Computation presents the theoretical concepts in a concise and clear manner, with an in-depth coverage of formal grammar and basic automata types. The book also examines the underlying theory and principles of computation and is highly suitable to the undergraduate courses in computer science and information technology. An overview of the recent trends in the field and applications are introduced at the appropriate places to stimulate the interest of active learners.
Publisher: Pearson Education India
ISBN: 9788131723562
Category : Computable functions
Languages : en
Pages : 446
Book Description
Introduction to Formal Languages, Automata Theory and Computation presents the theoretical concepts in a concise and clear manner, with an in-depth coverage of formal grammar and basic automata types. The book also examines the underlying theory and principles of computation and is highly suitable to the undergraduate courses in computer science and information technology. An overview of the recent trends in the field and applications are introduced at the appropriate places to stimulate the interest of active learners.
Geometric and Computational Perspectives on Infinite Groups
Author: Gilbert Baumslag
Publisher: American Mathematical Soc.
ISBN: 9780821870716
Category : Mathematics
Languages : en
Pages : 240
Book Description
This book contains the proceedings of two workshops on computational aspects of geometric group theory.
Publisher: American Mathematical Soc.
ISBN: 9780821870716
Category : Mathematics
Languages : en
Pages : 240
Book Description
This book contains the proceedings of two workshops on computational aspects of geometric group theory.
Discovering Modern Set Theory. II: Set-Theoretic Tools for Every Mathematician
Author: Winfried Just and Martin Weese
Publisher: American Mathematical Soc.
ISBN: 9780821872086
Category : Set theory
Languages : en
Pages : 244
Book Description
Publisher: American Mathematical Soc.
ISBN: 9780821872086
Category : Set theory
Languages : en
Pages : 244
Book Description