Illustrating Mathematics

Illustrating Mathematics

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  • Author: Diana Davis
  • Publisher: American Mathematical Soc.
  • ISBN: 1470461226
  • Category : Education
  • Languages : en
  • Pages : 171

This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.


What is Mathematics?

What is Mathematics?

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  • Author: Richard Courant
  • Publisher: Oxford University Press, USA
  • ISBN: 9780195105193
  • Category : Juvenile Nonfiction
  • Languages : en
  • Pages : 596

The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.


Concepts of Modern Mathematics

Concepts of Modern Mathematics

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  • Author: Ian Stewart
  • Publisher: Courier Corporation
  • ISBN: 0486134954
  • Category : Mathematics
  • Languages : en
  • Pages : 368

In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.


Sciencia

Sciencia

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  • Author: Matt Tweed
  • Publisher: Bloomsbury Publishing USA
  • ISBN: 0802778992
  • Category : Mathematics
  • Languages : en
  • Pages : 417

Collects six short illustrated volumes covering topics in mathematics, physics, chemistry, biology, evolution, and astronomy.


Meaning in Mathematics

Meaning in Mathematics

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  • Author: John Polkinghorne
  • Publisher: OUP Oxford
  • ISBN: 0191621897
  • Category : Mathematics
  • Languages : en
  • Pages : 176

Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by tackling invented problems, or are mathematicians engaged in acts of discovery as they explore an independent realm of mathematical reality? Why does this seemingly abstract discipline provide the key to unlocking the deep secrets of the physical universe? How one answers these questions will significantly influence metaphysical thinking about reality. This book is intended to fill a gap between popular 'wonders of mathematics' books and the technical writings of the philosophers of mathematics. The chapters are written by some of the world's finest mathematicians, mathematical physicists and philosophers of mathematics, each giving their perspective on this fascinating debate. Every chapter is followed by a short response from another member of the author team, reinforcing the main theme and raising further questions. Accessible to anyone interested in what mathematics really means, and useful for mathematicians and philosophers of science at all levels, Meaning in Mathematics offers deep new insights into a subject many people take for granted.


Mathematics for Machine Learning

Mathematics for Machine Learning

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  • Author: Marc Peter Deisenroth
  • Publisher: Cambridge University Press
  • ISBN: 1108569323
  • Category : Computers
  • Languages : en
  • Pages :

The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.


Mathematics for Human Flourishing

Mathematics for Human Flourishing

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  • Author: Francis Su
  • Publisher: Yale University Press
  • ISBN: 0300237138
  • Category : Mathematics
  • Languages : en
  • Pages : 287

"The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.


Principles of Mathematics Book 2 (Teacher Guide)

Principles of Mathematics Book 2 (Teacher Guide)

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  • Author: Katherine (Loop) Hannon
  • Publisher: Master Books
  • ISBN: 9780890519073
  • Category : Juvenile Nonfiction
  • Languages : en
  • Pages : 0

Teacher Guide for use with Principles of Mathematics Book 2. Katherine Loop's Principles of Mathematics Book 2 guides students through the core principles of algebra-equipping your student for High School success! Teacher Guide includes daily schedule, student worksheets, quizzes, tests, and answer key.


The I Hate Mathematics! Book

The I Hate Mathematics! Book

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  • Author: Marilyn Burns
  • Publisher:
  • ISBN: 9780521336598
  • Category : Education
  • Languages : en
  • Pages : 96

Hundreds of mathematical events, jokes, riddles, puzzles, investigations and experiments showing maths is relevant and fun.


Principles of Mathematics Book 1 Set

Principles of Mathematics Book 1 Set

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  • Author: Katherine Loop
  • Publisher: Master Books
  • ISBN: 9780890519141
  • Category :
  • Languages : en
  • Pages : 0

Katherine Loop has done the remarkable! She has written a solid math course with a truly Biblical worldview. This course goes way beyond the same old Christian math course that teaches math with a few Scriptures sprinkled in and maybe some church-based word problems. This course truly transforms the way we see math. Katherine makes the argument that math is not a neutral subject as most have come to believe. She carefully lays the foundation of how math points to our Creator, the God of the Bible. The nature of God, His Creation, and even the Gospel itself is seen through the study of math. Katherine does a marvelous job of revealing His Glory in this one-of-a-kind math course. Katherine Loop's Principles of Mathematics Biblical Worldview Curriculum is a first of its kind. It takes math to a whole new level students and parents are going to love. It is a guaranteed faith grower!