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Author: Karen Finch
Publisher:
ISBN: 9781594416583
Category :
Languages : en
Pages :
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Book Description
Author: Karen Finch
Publisher:
ISBN: 9781594416583
Category :
Languages : en
Pages :
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Book Description
Author: Avi Wigderson
Publisher: Princeton University Press
ISBN: 0691189137
Category : Computers
Languages : en
Pages : 434
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Book Description
An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Author: Facts on File
Publisher: Facts on File
ISBN: 9780816052837
Category : Education
Languages : en
Pages : 288
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Book Description
Math On File is a three-volume set designed to supplement the classroom instruction of mathematics in accordance with the National Council of Teachers of Mathematics (NCTM) standards. The set includes three valuable resourcesMath On File: Algebra, Math On File: Geometry, and Math On File: Calculus. Each volume covers a wide range of topics in an accessible and attractive format. This comprehensive collection of approximately 150 engaging problem sets ranges from simple to challenging and emphasizes the systematic development of mathematical skills. All exercises are reproducible and easy to distribute for classroom use or take-home practice. Each exercise contains an introduction as well as text and diagrams that fully articulate the ideas and concepts being studied. Coverage spans arithmetic series and balancing equations to the angles and lengths of sides of polygons to derivatives, integrals, and beyond. An essential addition to any high school or college mathematics classroom, Math On File provides fast access to high quality materials that teachers can assign for additional practice, provide as supplements to their lesson plans, or use as a basis for testing. It helps students achieve a better understanding of important principles in mathematics. Partial Table of Contents: þMath On File: Algebra þBasic Number Manipulations þMeasurement Conversion þCoincidences þBasic Algebraic Manipulationsþ Factoring Polynomialsþ Balancing Equations þFunctionsþ Exponential Functions þGraphingþ Plotting and Identifying Functions þPatternsþ Problem Solving þDataþ Statistics in Practice. þþMath On File: Calculus þ þFunctions, Graphs, and Limitsþ Analyzing Graphs of Functionsþ Timing Traffic Lights þDifferentiation and Applicationsþ Divided Differencesþ Hyperbolic Functions þIntegration and Applicationsþ Setting up Geometric Integralsþ Distance on Earthþ Undetermined Coefficients þSeries and Products, Finite and Infiniteþ Newton Polynomialsþ Two Infinite Formulas for Pi þ Advanced Applicationsþ Partial Derivativesþ Linear and Quadratic Approximations þMath On File: Geometry þ Properties of Two-dimensional Figures þ The Pythagorean Theorem þ Perpendicular Lines and Their Slopes þProperties of Three-dimensional Figures þ Scale Models of Earth þ Latitude and Longitude þGeometric Patterns þ Non-Euclidean Distances þ Schlegel Diagrams þApplied Geometry þ Estimating Heights Using Trigonometry þ Rotation Rate of the Earth þ Sunrise and Sunset Through the Year. þ
Author: Diagram Group
Publisher: Facts on File
ISBN: 9780816029365
Category : Mathematics
Languages : en
Pages : 288
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Book Description
Fifty-four projects cover important concepts in mathematics, including number theory, algebra, geometry, trigonometry, probability and statistics, functions, pre-calculus and calculus.
Author: Paul Orland
Publisher: Manning Publications
ISBN: 1617295353
Category : Computers
Languages : en
Pages : 686
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Book Description
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
Author: Theodore A. Sundstrom
Publisher: Prentice Hall
ISBN: 9780131877184
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 0
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Book Description
Focusing on the formal development of mathematics, this book shows readers how to read, understand, write, and construct mathematical proofs.Uses elementary number theory and congruence arithmetic throughout. Focuses on writing in mathematics. Reviews prior mathematical work with “Preview Activities” at the start of each section. Includes “Activities” throughout that relate to the material contained in each section. Focuses on Congruence Notation and Elementary Number Theorythroughout.For professionals in the sciences or engineering who need to brush up on their advanced mathematics skills. Mathematical Reasoning: Writing and Proof, 2/E Theodore Sundstrom
Author: James Alexander
Publisher:
ISBN: 9780816046324
Category : Mathematics
Languages : en
Pages : 288
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Book Description
Provides approximately fifty problem sets to supplement classroom instruction or for individual out-of-class assignments.
Author: George Grätzer
Publisher: Springer Science & Business Media
ISBN: 146122134X
Category : Computers
Languages : en
Pages : 607
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Book Description
A new chapter "A Visual Introduction to MikTeX," an open source implementation of TeX and LaTeX for Windows operating systems Another new chapter describing amsrefs, a simpler method for formatting references that incorporates and replaces BibTeX data Integrates a major revision to the amsart document class, along with updated examples
Author: Katy Buechner
Publisher:
ISBN: 9780884880622
Category : Mathematics
Languages : en
Pages :
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Book Description
Author: Oscar Levin
Publisher: Createspace Independent Publishing Platform
ISBN: 9781724572639
Category :
Languages : en
Pages : 238
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Book Description
Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
