A Beautiful Math

A Beautiful Math
Author: Tom Siegfried
Publisher: National Academies Press
Total Pages: 272
Release: 2006-09-21
Genre: Science
ISBN: 0309133807

Millions have seen the movie and thousands have read the book but few have fully appreciated the mathematics developed by John Nash's beautiful mind. Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality.

Entry Level Mathematics

Entry Level Mathematics
Author: Gill Hewlett
Publisher: Nelson Thornes
Total Pages: 372
Release: 2003
Genre: Juvenile Nonfiction
ISBN: 9780748774562

Contains an accessible page design, with controlled language and readability levels to match the requirements of the students undertaking this qualification. The Teacher File contains activities that build upon areas of work given in the Student Book. This Student Book and accompanying Teacher File provide resources for revised specifications.

Entry Level Maths

Entry Level Maths
Author: Gill Hewlett
Publisher: Nelson Thornes
Total Pages: 292
Release: 2004-01-14
Genre:
ISBN: 0748774572

Contains additional activities, allowing students to extend their work either in the classroom or for homework. The Pack also includes a range of certificates that can be handed out to students as a reward for hard work.

Entry Level Mathematics

Entry Level Mathematics
Author: Christine Watson
Publisher: Hodder Murray
Total Pages: 224
Release: 2001
Genre: Education
ISBN: 9780340801635

Entry Level Mathematics text book provides both student and teacher with complete coverage of the Entry Level Mathematics specification. Written by highly-respected authors, every aspect of the specification is covered in detail. Entry Level Mathematics text book will guide the student and teacher through the specification in a systematic and concise fashion, and will become a vital element of student success. The text book is organised into self-contained Units ideal for motivating students and increasing confidence. It has parallel calculator and non-calculator exercises, focused topisc for each Unit with interactive questions to closely engage the students and an added attention to the language level to ensure the text is accessible. It is adaptable to a GCSE Foundation class, a whole Entry Level Mathematics class or on an individual basis. This book contains references to worksheets provided by the teacher's resource.

Basic Mathematics for College Students

Basic Mathematics for College Students
Author: Alan S. Tussy
Publisher: Brooks Cole
Total Pages: 0
Release: 2005-11
Genre: Mathematics
ISBN: 9780495188957

The fundamental goal in Tussy and Gustafson's BASIC MATHEMATICS FOR COLLEGE STUDENTS, Third Edition is to teach students to read, write, and think about mathematics through building a conceptual foundation in the language of mathematics. The book blends instructional approaches that include vocabulary, practice, and well-defined pedagogy, along with an emphasis on reasoning, modeling, communication, and technology skills. Also students planning to take an introductory algebra course in the future can use this text to build the mathematical foundation they will need. Tussy and Gustafson understand the challenges of teaching developmental students and this book reflects a holistic approach to teaching mathematics that includes developing study skills, problem solving, and critical thinking alongside mathematical concepts. New features in this edition include a pretest for students to gauge their understanding of prerequisite concepts, problems that make correlations between student life and the mathematical concepts, and study skills information designed to give students the best chance to succeed in the course. Additionally, the text's widely acclaimed Study Sets at the end of every section are tailored to improve students' ability to read, write, and communicate mathematical ideas.

Math for Programmers

Math for Programmers
Author: Paul Orland
Publisher: Manning Publications
Total Pages: 686
Release: 2021-01-12
Genre: Computers
ISBN: 1617295353

In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. Summary To score a job in data science, machine learning, computer graphics, and cryptography, you need to bring strong math skills to the party. Math for Programmers teaches the math you need for these hot careers, concentrating on what you need to know as a developer. Filled with lots of helpful graphics and more than 200 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest programming fields. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Skip the mathematical jargon: This one-of-a-kind book uses Python to teach the math you need to build games, simulations, 3D graphics, and machine learning algorithms. Discover how algebra and calculus come alive when you see them in code! About the book In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. What's inside Vector geometry for computer graphics Matrices and linear transformations Core concepts from calculus Simulation and optimization Image and audio processing Machine learning algorithms for regression and classification About the reader For programmers with basic skills in algebra. About the author Paul Orland is a programmer, software entrepreneur, and math enthusiast. He is co-founder of Tachyus, a start-up building predictive analytics software for the energy industry. You can find him online at www.paulor.land. Table of Contents 1 Learning math with code PART I - VECTORS AND GRAPHICS 2 Drawing with 2D vectors 3 Ascending to the 3D world 4 Transforming vectors and graphics 5 Computing transformations with matrices 6 Generalizing to higher dimensions 7 Solving systems of linear equations PART 2 - CALCULUS AND PHYSICAL SIMULATION 8 Understanding rates of change 9 Simulating moving objects 10 Working with symbolic expressions 11 Simulating force fields 12 Optimizing a physical system 13 Analyzing sound waves with a Fourier series PART 3 - MACHINE LEARNING APPLICATIONS 14 Fitting functions to data 15 Classifying data with logistic regression 16 Training neural networks

How to Prove It

How to Prove It
Author: Daniel J. Velleman
Publisher: Cambridge University Press
Total Pages: 401
Release: 2006-01-16
Genre: Mathematics
ISBN: 0521861241

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.

Basic Training in Mathematics

Basic Training in Mathematics
Author: R. Shankar
Publisher: Springer
Total Pages: 371
Release: 2013-12-20
Genre: Science
ISBN: 1489967982

Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students. This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus. By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences.

Illustrating Mathematics

Illustrating Mathematics
Author: Diana Davis
Publisher: American Mathematical Soc.
Total Pages: 90
Release: 2020-10-16
Genre: Education
ISBN: 1470461226

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.