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Mathematical Excursions to the World's Great Buildings

Author : Alexander J. Hahn
Publisher : Princeton University Press
ISBN 13 : 1400841992
Total Pages : 336 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathematical Excursions to the World's Great Buildings by : Alexander J. Hahn

Download or read book Mathematical Excursions to the World's Great Buildings written by Alexander J. Hahn and published by Princeton University Press. This book was released on 2012-07-22 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: How mathematics helped build the world's most important buildings from early Egypt to the present From the pyramids and the Parthenon to the Sydney Opera House and the Bilbao Guggenheim, this book takes readers on an eye-opening tour of the mathematics behind some of the world's most spectacular buildings. Beautifully illustrated, the book explores the milestones in elementary mathematics that enliven the understanding of these buildings and combines this with an in-depth look at their aesthetics, history, and structure. Whether using trigonometry and vectors to explain why Gothic arches are structurally superior to Roman arches, or showing how simple ruler and compass constructions can produce sophisticated architectural details, Alexander Hahn describes the points at which elementary mathematics and architecture intersect. Beginning in prehistoric times, Hahn proceeds to guide readers through the Greek, Roman, Islamic, Romanesque, Gothic, Renaissance, and modern styles. He explores the unique features of the Pantheon, the Hagia Sophia, the Great Mosque of Cordoba, the Duomo in Florence, Palladio's villas, and Saint Peter's Basilica, as well as the U.S. Capitol Building. Hahn celebrates the forms and structures of architecture made possible by mathematical achievements from Greek geometry, the Hindu-Arabic number system, two- and three-dimensional coordinate geometry, and calculus. Along the way, Hahn introduces groundbreaking architects, including Brunelleschi, Alberti, da Vinci, Bramante, Michelangelo, della Porta, Wren, Gaudí, Saarinen, Utzon, and Gehry. Rich in detail, this book takes readers on an expedition around the globe, providing a deeper understanding of the mathematical forces at play in the world's most elegant buildings.

Mathematical Excursions

Author : Richard N. Aufmann
Publisher :
ISBN 13 : 9780618386390
Total Pages : 913 pages
Book Rating : 4.3/5 (863 download)

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Book Synopsis Mathematical Excursions by : Richard N. Aufmann

Download or read book Mathematical Excursions written by Richard N. Aufmann and published by . This book was released on 2003-03-01 with total page 913 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed for the liberal arts math course by a seasoned author team,Mathematical Excursions,is uniquely designed to help students see math at work in the contemporary world. Using the proven Aufmann Interactive Method, students learn to master problem-solving in meaningful contexts. In addition, multi-partExcursionexercises emphasize collaborative learning. The text's extensive topical coverage offers instructors flexibility in designing a course that meets their students' needs and curriculum requirements. TheExcursionsactivity and correspondingExcursion Exercises,denoted by an icon, conclude each section, providing opportunities for in-class cooperative work, hands-on learning, and development of critical-thinking skills. These activities are also ideal for projects or extra credit assignments. TheExcursionsare designed to reinforce the material that has just been covered in the section in a fun and engaging manner that will enhance a student's journey and discovery of mathematics. The proven Aufmann Interactive Method ensures that students try concepts and manipulate real-life data as they progress through the material. Every objective contains at least one set of matched-pair examples. The method begins with a worked-out example with a solution in numerical and verbal formats to address different learning styles. The matched problem, calledCheck Your Progress,is left for the student to try. Each problem includes a reference to a fully worked out solution in an appendix to which the student can refer for immediate feedback, concept reinforcement, identification of problem areas, and prevention of frustration. Eduspace, powered by Blackboard, for the Aufmann/Lockwood/Nation/CleggMath Excursionscourse features algorithmic exercises and test bank content in question pools.

Prelude to Mathematics

Author : W. W. Sawyer
Publisher : Courier Corporation
ISBN 13 : 0486152774
Total Pages : 228 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Prelude to Mathematics by : W. W. Sawyer

Download or read book Prelude to Mathematics written by W. W. Sawyer and published by Courier Corporation. This book was released on 2012-04-19 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lively, stimulating account of non-Euclidean geometry by a noted mathematician covers matrices, determinants, group theory, and many other related topics, with an emphasis on the subject's novel, striking aspects. 1955 edition.

Mathematics and Computation

Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, 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

Probability and Stochastics

Author : Erhan Çınlar
Publisher : Springer Science & Business Media
ISBN 13 : 0387878599
Total Pages : 567 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Probability and Stochastics by : Erhan Çınlar

Download or read book Probability and Stochastics written by Erhan Çınlar and published by Springer Science & Business Media. This book was released on 2011-02-21 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an introduction to the modern theory and applications of probability and stochastics. The style and coverage is geared towards the theory of stochastic processes, but with some attention to the applications. In many instances the gist of the problem is introduced in practical, everyday language and then is made precise in mathematical form. The first four chapters are on probability theory: measure and integration, probability spaces, conditional expectations, and the classical limit theorems. There follows chapters on martingales, Poisson random measures, Levy Processes, Brownian motion, and Markov Processes. Special attention is paid to Poisson random measures and their roles in regulating the excursions of Brownian motion and the jumps of Levy and Markov processes. Each chapter has a large number of varied examples and exercises. The book is based on the author’s lecture notes in courses offered over the years at Princeton University. These courses attracted graduate students from engineering, economics, physics, computer sciences, and mathematics. Erhan Cinlar has received many awards for excellence in teaching, including the President’s Award for Distinguished Teaching at Princeton University. His research interests include theories of Markov processes, point processes, stochastic calculus, and stochastic flows. The book is full of insights and observations that only a lifetime researcher in probability can have, all told in a lucid yet precise style.

Excursions in Modern Mathematics

Author : Peter Tannenbaum
Publisher : Pearson
ISBN 13 : 9780321825735
Total Pages : 0 pages
Book Rating : 4.8/5 (257 download)

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Book Synopsis Excursions in Modern Mathematics by : Peter Tannenbaum

Download or read book Excursions in Modern Mathematics written by Peter Tannenbaum and published by Pearson. This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Disability and Academic Exclusion interrogates obstacles the disabled have encountered in education, from a historical perspective that begins with the denial of literacy to minorities in the colonial era to the later centuries' subsequent intolerance of writing, orality, and literacy mastered by former slaves, women, and the disabled. The text then questions where we stand today in regards to the university-wide rhetoric on promoting diversity and accommodating disability in the classroom." Amazon.com viewed 6/2/2020.

The Mathematics of Diffusion

Author : John Crank
Publisher : Oxford University Press
ISBN 13 : 9780198534112
Total Pages : 428 pages
Book Rating : 4.5/5 (341 download)

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Book Synopsis The Mathematics of Diffusion by : John Crank

Download or read book The Mathematics of Diffusion written by John Crank and published by Oxford University Press. This book was released on 1979 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.

When Einstein Walked with Gödel

Author : Jim Holt
Publisher : Farrar, Straus and Giroux
ISBN 13 : 0374717842
Total Pages : 385 pages
Book Rating : 4.3/5 (747 download)

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Book Synopsis When Einstein Walked with Gödel by : Jim Holt

Download or read book When Einstein Walked with Gödel written by Jim Holt and published by Farrar, Straus and Giroux. This book was released on 2018-05-15 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Jim Holt, the New York Times bestselling author of Why Does the World Exist?, comes an entertaining and accessible guide to the most profound scientific and mathematical ideas of recent centuries in When Einstein Walked with Gödel: Excursions to the Edge of Thought. Does time exist? What is infinity? Why do mirrors reverse left and right but not up and down? In this scintillating collection, Holt explores the human mind, the cosmos, and the thinkers who’ve tried to encompass the latter with the former. With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction—and whether the universe truly has a future.

Student Solutions Manual for Aufmann/Lockwood/Nation/Clegg's Mathematical Excursions, 4th

Author : Richard N. Aufmann
Publisher :
ISBN 13 : 9781305965614
Total Pages : pages
Book Rating : 4.9/5 (656 download)

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Book Synopsis Student Solutions Manual for Aufmann/Lockwood/Nation/Clegg's Mathematical Excursions, 4th by : Richard N. Aufmann

Download or read book Student Solutions Manual for Aufmann/Lockwood/Nation/Clegg's Mathematical Excursions, 4th written by Richard N. Aufmann and published by . This book was released on 2017-01-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Go beyond the answers�see what it takes to get there and improve your grade! This manual provides worked-out, step-by-step solutions to the odd-numbered problems in the text. You'll have the information you need to truly understand how these problems are solved.

Mathematical Proofs

Author : Gary Chartrand
Publisher : Pearson
ISBN 13 : 9780321797094
Total Pages : 0 pages
Book Rating : 4.7/5 (97 download)

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Book Synopsis Mathematical Proofs by : Gary Chartrand

Download or read book Mathematical Proofs written by Gary Chartrand and published by Pearson. This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book prepares students for the more abstract mathematics courses that follow calculus. The author introduces students to proof techniques, analyzing proofs, and writing proofs of their own. It also provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory.

Student Solutions Manual for Aufmann/Lockwood's Prealgebra: An Applied Approach

Author : Richard N. Aufmann
Publisher : Cengage Learning
ISBN 13 : 9781285092331
Total Pages : 0 pages
Book Rating : 4.0/5 (923 download)

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Book Synopsis Student Solutions Manual for Aufmann/Lockwood's Prealgebra: An Applied Approach by : Richard N. Aufmann

Download or read book Student Solutions Manual for Aufmann/Lockwood's Prealgebra: An Applied Approach written by Richard N. Aufmann and published by Cengage Learning. This book was released on 2013-01-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Student Solutions Manual contains the complete solutions to all odd-numbered exercises in the text. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

The Simple Complexity of Number Nine

Author : Said Hany
Publisher : AuthorHouse
ISBN 13 : 1504989740
Total Pages : 132 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis The Simple Complexity of Number Nine by : Said Hany

Download or read book The Simple Complexity of Number Nine written by Said Hany and published by AuthorHouse. This book was released on 2015-09-04 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since man was created, he realised that his fingers were his best tools. He built his counting system on those fingers with which he learned to develop writing, writing the numbers and the alphabet. Our concept of numbers is born with us before that of speech and writing. The brain is conscious of numbers from the very early stages of development. This concept progresses with education, practice, and applications, i.e., through life experiences. Our life journeys, from beginning to end, go through a path totally surrounded by numbers. We adapt ourselves through this journey to make some sense of it. Hence, numbers are a major and essential part of our existence. This book highlights the history and development of numbers and delves into the mystery of number 9 in a wide variety of mathematical excursions. The famous Fibonacci numbers, as well as other numbers and sequences, fall under the mystique of number 9.

The Mathematics of Everyday Life

Author : Alfred S. Posamentier
Publisher : Prometheus Books
ISBN 13 : 1633883884
Total Pages : 309 pages
Book Rating : 4.6/5 (338 download)

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Book Synopsis The Mathematics of Everyday Life by : Alfred S. Posamentier

Download or read book The Mathematics of Everyday Life written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2018-08-21 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two experienced math educators help the average reader discover not only the everyday usefulness of math but the fun that comes from mastering the basics of arithmetic, algebra, geometry, and more. If you think of mathematics as a series of pointless classroom exercises without much relevance to real life, this book will change your mind. As the authors show, math is deeply embedded in almost every aspect of daily life--from managing your personal finances, making consumer purchases, and sharpening your computational skills, to learning to apply mathematical concepts that will give you a better grasp of both ordinary and extraordinary events and help you better appreciate the world we live in. With some basic geometry under your belt, you'll discover that there is an optimal point on a soccer field from which to shoot a goal. And you'll be more clever with the gears of a bike. If you like to play cards or go to the casino, knowing something about probability will give you an edge. You'll also have an enhanced understanding of the "whispering effect" inside the Capitol rotunda, why a car's headlights are so bright, and even why sewer covers are round. After reading this entertaining and instructive book, you'll come away with a whole new awareness of how elegantly mathematics explains everyday experiences and observations--from present day items to classical art and architecture.

Infinitesimal

Author : Amir Alexander
Publisher : Simon and Schuster
ISBN 13 : 1780745338
Total Pages : 317 pages
Book Rating : 4.7/5 (87 download)

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Book Synopsis Infinitesimal by : Amir Alexander

Download or read book Infinitesimal written by Amir Alexander and published by Simon and Schuster. This book was released on 2014-07-03 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: On August 10, 1632, five leading Jesuits convened in a sombre Roman palazzo to pass judgment on a simple idea: that a continuous line is composed of distinct and limitlessly tiny parts. The doctrine would become the foundation of calculus, but on that fateful day the judges ruled that it was forbidden. With the stroke of a pen they set off a war for the soul of the modern world. Amir Alexander takes us from the bloody religious strife of the sixteenth century to the battlefields of the English civil war and the fierce confrontations between leading thinkers like Galileo and Hobbes. The legitimacy of popes and kings, as well as our modern beliefs in human liberty and progressive science, hung in the balance; the answer hinged on the infinitesimal. Pulsing with drama and excitement, Infinitesimal will forever change the way you look at a simple line.

Discrete Mathematics and Its Applications

Author : Kenneth H. Rosen
Publisher :
ISBN 13 : 9780071244749
Total Pages : 109 pages
Book Rating : 4.2/5 (447 download)

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Book Synopsis Discrete Mathematics and Its Applications by : Kenneth H. Rosen

Download or read book Discrete Mathematics and Its Applications written by Kenneth H. Rosen and published by . This book was released on 2007 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: The companion Web site -- To the student -- The foundations : logic, sets, and functions -- The fundamentals : algorithms, the integers, and matrices -- Mathematical reasoning -- Counting -- Advanced counting techniques -- Relations -- Graphs -- Trees -- Boolean algebra -- Modeling computation

Topics in Contemporary Mathematics

Author : Ignacio Bello
Publisher : Houghton Mifflin
ISBN 13 : 9780618347520
Total Pages : 0 pages
Book Rating : 4.3/5 (475 download)

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Book Synopsis Topics in Contemporary Mathematics by : Ignacio Bello

Download or read book Topics in Contemporary Mathematics written by Ignacio Bello and published by Houghton Mifflin. This book was released on 2004-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Contemporary Mathematics, 8/e, is uniquely designed to help students see math at work in the contemporary world by presenting problem solving in purposeful and meaningful contexts.

Mathematical Explorations for the Christian Thinker

Author : Jason Vanbilliard
Publisher : CreateSpace
ISBN 13 : 9781500795764
Total Pages : 334 pages
Book Rating : 4.7/5 (957 download)

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Book Synopsis Mathematical Explorations for the Christian Thinker by : Jason Vanbilliard

Download or read book Mathematical Explorations for the Christian Thinker written by Jason Vanbilliard and published by CreateSpace. This book was released on 2014-08-15 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does it mean to learn math from a Christian perspective? This book is ideally suited for a Christian audience who wishes to significantly extend his or her knowledge of mathematics while developing biblical perspectives on the mathematical-philosophical questions posed in each section. Among other compelling issues, readers will wrestle with questions as to the relationships between God, nature, mathematics, and humans. The integration of Christian thought is weaved throughout the text.[**Note: there are two versions of this book. Read below for more details.]Through the mathematics content presented in this book, you will broaden your understanding of geometry by investigating dimensions, fractals, topological equivalence, and other geometries. You will develop your reasoning skills through identifying deception in statistics, discriminating between cause and correlation, evaluating various voting methods, and exploring chaos theory. Finally, you will refine your understanding of numbers and systems through studying prime, figurate, vampire, narcissistic, powerful, abundant, and transcendental numbers.After studying each mathematical topic, you will consider how the topic informs your answers to questions like: Who are we? What is the nature of reality? How do we know if something is true? What is good? What is beautiful? These questions and their related sub-questions have been part of the human experience from the dawn of human history. Considering how mathematics helps to inform these questions provides for a deeper, more meaningful understanding of mathematics and our world.This book is ideal for:- An undergraduate “Mathematics for Liberal Arts” course at a Christian college- A half-year senior mathematics elective as part of a focus on worldview at a Christian high school - A Christian homeschool family that wishes to extend their children's learning beyond the standard curriculum in a Christian centered context- Anyone interested in extending his or her own understanding of the scope and depth of mathematicsEach section features:- Introductory exercises that prompt the reader to recall relevant information or skills- Concept development sections that explain the mathematics for even the math-phobic student- Content sections that connect the mathematics to literature, art, music, science, and other subjects- A “Something to Consider” section that asks the reader to think about related enduring questions from a Christian perspective- “Covering the Reading” questions that help to process the text- “Problems” that require the reader to research and consider the topic more thoroughly[** There is another version of this book titled "The Mathematical Expanse: Excursions into the Enduring Questions." That version asks many similar questions but is appropriate for a public school setting.]