The Joy Of Abstraction
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The Joy Of Abstraction
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Author : Eugenia Cheng
language : en
Publisher: Cambridge University Press
Release Date : 2022-10-13
The Joy Of Abstraction written by Eugenia Cheng and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-13 with Mathematics categories.
Mathematician and popular science author Eugenia Cheng is on a mission to show you that mathematics can be flexible, creative, and visual. This joyful journey through the world of abstract mathematics into category theory will demystify mathematical thought processes and help you develop your own thinking, with no formal mathematical background needed. The book brings abstract mathematical ideas down to earth using examples of social justice, current events, and everyday life – from privilege to COVID-19 to driving routes. The journey begins with the ideas and workings of abstract mathematics, after which you will gently climb toward more technical material, learning everything needed to understand category theory, and then key concepts in category theory like natural transformations, duality, and even a glimpse of ongoing research in higher-dimensional category theory. For fans of How to Bake Pi, this will help you dig deeper into mathematical concepts and build your mathematical background.
Abstract And Concrete Categories
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Author : Jiri Adamek
language : en
Publisher:
Release Date : 2009
Abstract And Concrete Categories written by Jiri Adamek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Categories (Mathematics) categories.
This up-to-date introductory treatment employs category theory to explore the theory of structures. Its unique approach stresses concrete categories and presents a systematic view of factorization structures, offering a unifying perspective on earlier work and summarizing recent developments. Numerous examples, ranging from general to specific, illuminate the text. 1990 edition, updated 2004.
The Joy Of X
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Author : Steven Strogatz
language : en
Publisher: Atlantic Books Ltd
Release Date : 2012-11-01
The Joy Of X written by Steven Strogatz and has been published by Atlantic Books Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-01 with Mathematics categories.
Award-winning Steven Strogatz, one of the foremost popularisers of maths, has written a witty and fascinating account of maths' most compelling ideas and how, so often, they are an integral part of everyday life. Maths is everywhere, often where we don't even realise. Award-winning professor Steven Strogatz acts as our guide as he takes us on a tour of numbers that - unbeknownst to the unitiated - connect pop culture, literature, art, philosophy, current affairs, business and even every day life. In The Joy of X, Strogatz explains the great ideas of maths - from negative numbers to calculus, fat tails to infinity - with clarity, wit and insight. He is the maths teacher you never had and this book is perfect for the smart and curious, the expert and the beginner.
The Joy Of Finite Mathematics
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Author : Chris P. Tsokos
language : en
Publisher: Academic Press
Release Date : 2015-10-27
The Joy Of Finite Mathematics written by Chris P. Tsokos and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-27 with Mathematics categories.
The Joy of Finite Mathematics: The Language and Art of Math teaches students basic finite mathematics through a foundational understanding of the underlying symbolic language and its many dialects, including logic, set theory, combinatorics (counting), probability, statistics, geometry, algebra, and finance. Through detailed explanations of the concepts, step-by-step procedures, and clearly defined formulae, readers learn to apply math to subjects ranging from reason (logic) to finance (personal budget), making this interactive and engaging book appropriate for non-science, undergraduate students in the liberal arts, social sciences, finance, economics, and other humanities areas. The authors utilize important historical facts, pose interesting and relevant questions, and reference real-world events to challenge, inspire, and motivate students to learn the subject of mathematical thinking and its relevance. The book is based on the authors' experience teaching Liberal Arts Math and other courses to students of various backgrounds and majors, and is also appropriate for preparing students for Florida's CLAST exam or similar core requirements. - Highlighted definitions, rules, methods, and procedures, and abundant tables, diagrams, and graphs, clearly illustrate important concepts and methods - Provides end-of-chapter vocabulary and concept reviews, as well as robust review exercises and a practice test - Contains information relevant to a wide range of topics, including symbolic language, contemporary math, liberal arts math, social sciences math, basic math for finance, math for humanities, probability, and the C.L.A.S.T. exam - Optional advanced sections and challenging problems are included for use at the discretion of the instructor - Online resources include PowerPoint Presentations for instructors and a useful student manual
The Joy Of Abstraction
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Author : Eugenia Cheng
language : en
Publisher: Cambridge University Press
Release Date : 2022-10-13
The Joy Of Abstraction written by Eugenia Cheng and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-13 with Mathematics categories.
Mathematician and popular science author Eugenia Cheng is on a mission to show you that mathematics can be flexible, creative, and visual. This joyful journey through the world of abstract mathematics into category theory will demystify mathematical thought processes and help you develop your own thinking, with no formal mathematical background needed. The book brings abstract mathematical ideas down to earth using examples of social justice, current events, and everyday life - from privilege to COVID-19 to driving routes. The journey begins with the ideas and workings of abstract mathematics, after which you will gently climb toward more technical material, learning everything needed to understand category theory, and then key concepts in category theory like natural transformations, duality, and even a glimpse of ongoing research in higher-dimensional category theory. For fans of How to Bake Pi, this will help you dig deeper into mathematical concepts and build your mathematical background.
Categories For The Working Mathematician
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Author : Saunders Mac Lane
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-09-25
Categories For The Working Mathematician written by Saunders Mac Lane and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-25 with Mathematics categories.
Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterized by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories.
The Joy Of Art
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Author : Carolyn Schlam
language : en
Publisher: Simon and Schuster
Release Date : 2020-04-07
The Joy Of Art written by Carolyn Schlam and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-07 with Art categories.
An Artist’s Insights on Art Appreciation Written by a practicing artist, this book decodes and maps the basic elements of visual art, leading the reader to a greater understanding and appreciation. Not an art history lesson per se, this illustrated guide is rather a tool kit to make the study of art and a visit to the museum truly rewarding. An entertaining and informative read, The Joy of Art offers the reader: A working art vocabulary to help you identify and explain what you’re looking at Answers to many of the questions you may have about visual art in general A summary of the basic criteria to consider when looking at art Highlights of the primary art genres and an introduction to the artists who pursued them Many visual examples of aesthetic considerations and practices Interesting facts about your favorite artists and clues to why they made the choices they did A few games to test your new skills The Joy of Art contains 150 color photographs and many interesting insights from an artist-author who takes readers behind the curtain and into the studio to uncover what actually goes into making a work of art. If you love art, this book will take your appreciation to a new level. Not only will your enjoyment of art increase, you’ll be able to clearly communicate your understanding to others.
Inventing Abstraction 1910 1925
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Author : Leah Dickerman
language : en
Publisher: The Museum of Modern Art
Release Date : 2012
Inventing Abstraction 1910 1925 written by Leah Dickerman and has been published by The Museum of Modern Art this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Art categories.
This book explores the development of abstraction from the moment of its declaration around 1912 to its establishment as the foundation of avant-garde practice in the mid-1920s. The book brings together many of the most influential works in abstractions early history to draw a cross-media portrait of this watershed moment in which traditional art was reinvented in a wholesale way. Works are presented in groups that serve as case studies, each engaging a key topic in abstractions first years: an artist, a movement, an exhibition or thematic concern. Key focal points include Vasily Kandinskys ambitious Compositions V, VI and VII; a selection of Piet Mondrians work that offers a distilled narrative of his trajectory to Neo-plasticism; and all the extant Suprematist pictures that Kazimir Malevich showed in the landmark 0.10 exhibition in 1915.0Exhibition: MoMA, New York, USA (23.12.2012-15.4.2013).
X Y
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Author : Eugenia Cheng
language : en
Publisher: Profile Books
Release Date : 2020-07-16
X Y written by Eugenia Cheng and has been published by Profile Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-16 with Mathematics categories.
From imaginary numbers to the fourth dimension and beyond, mathematics has always been about imagining things that seem impossible at first glance. In x+y, Eugenia Cheng draws on the insights of higher-dimensional mathematics to reveal a transformative new way of talking about the patriarchy, mansplaining and sexism: a way that empowers all of us to make the world a better place. Using precise mathematical reasoning to uncover everything from the sexist assumptions that make society a harder place for women to live to the limitations of science and statistics in helping us understand the link between gender and society, Cheng's analysis replaces confusion with clarity, brings original thinking to well worn arguments - and provides a radical, illuminating and liberating new way of thinking about the world and women's place in it.
The Joy Of Teaching
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Author : Harry Hazel
language : en
Publisher: Wipf and Stock Publishers
Release Date : 2010-01-01
The Joy Of Teaching written by Harry Hazel and has been published by Wipf and Stock Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Self-Help categories.
Over the centuries, multitudes of women and men have gone into teaching as their chosen profession. Most successful instructors find joy in teaching and are glad to share that joy with others. Harry Hazel is one teacher who has found his forty years in the classroom highly satisfying. In this book, he not only includes insights from other Canadian and American teachers he once interviewed, but he primarily reflects on a long and happy career. While the material in this book is slanted toward college teaching, many of the techniques could also be applied to other levels of instruction, such as elementary, secondary, or adult education. Key principles include Motivating yourself Motivating students Polishing your speaking skills Taking the pain out of writing Making the joy last