Sign-In
Cart
How Surfaces Intersect In...(2nd Ed)(V2)
Hardcover
Series: Knots and Everything, Book 2
General MathematicsGeneral Science
ISBN13: 9789810220822
Publisher: World Scientific Publishing Company
Published: May 11 1995
Pages: 338
Weight: 1.30
Height: 0.90 Width: 6.00 Depth: 8.60
Language: English
This marvelous book of pictures illustrates the fundamental concepts of geometric topology in a way that is very friendly to the reader. The first chapter discusses the meaning of surface and space and gives the classification of orientable surfaces. In the second chapter we are introduced to the Möbius band and surfaces that can be constructed from this non-orientable piece of fabric. In chapter 3, we see how curves can fit in surfaces and how surfaces can fit into spaces with these curves on their boundary. Basic applications to knot theory are discussed and four-dimensional space is introduced.
In Chapter 4 we learn about some 3-dimensional spaces and surfaces that sit inside them. These surfaces help us imagine the structures of the larger space.
Chapter 5 is completely new! It contains recent results of Cromwell, Izumiya and Marar. One of these results is a formula relating the rank of a surface to the number of triple points. The other major result is a collection of examples of surfaces in 3-space that have one triple point and 6 branch points. These are beautiful generalizations of the Steiner Roman surface.
Chapter 6 reviews the movie technique for examining surfaces in 4-dimensional space. Various movies of the Klein bottle are presented, and the Carter-Saito movie move theorem is explained. The author shows us how to turn the 2-sphere inside out by means of these movie moves and this illustration alone is well worth the price of the book!
In the last chapter higher dimensional spaces are examined from an elementary point of view.
This is a guide book to a wide variety of topics. It will be of value to anyone who wants to understand the subject by way of examples. Undergraduates, beginning graduate students, and non-professionals will profit from reading the book and from just looking at the pictures.
1 different editions
Also available
Also from
Carter J Scott
Also in
General Science
How It All Works: All Scientific Laws and Phenomena Illustrated & Demonstrated
Clegg, Brian
Dant, Adam
Hardcover
The Code Breaker: Jennifer Doudna, Gene Editing, and the Future of the Human Race
Isaacson, Walter
Hardcover
The Little Book of Big Explorations: Adventures Into the Unknown That Changed Everything
Osman, Jheni
Paperback
A Bird's IQ: Innovation, Intelligence, and Problem Solving in the Avian World
Lefebvre, Louis
Hardcover
Ancient Astrology in Theory and Practice: A Manual of Traditional Techniques, Volume I: Assessing Planetary Condition
George, Demetra
Paperback
5 Steps to a 5: AP Biology 2027: Practice AP Tests + AP Content Review + Digital Exams
Anestis, Mark
Burris, Kelcey
Paperback
The Quantum Power of GLP-1 Peptides: Unlocking the Science that Leads to Lasting Weight Loss and Optimal Healthspan
Seeds, William A.
Paperback
Reference Manual of Woody Plant Propagation: From Seed to Tissue Culture
Heuser, Charles W., Jr.
Dirr, Michael A.
Paperback
The Eureka Machine: Why AI Is the Key to Unlocking a New Era of Scientific Discoveries
Socher, Richard
Hardcover
Elledge's Nontrivial Trivia: The Seriously Enlightening Stories Behind Supposedly Simple Facts
Elledge, Jonn
Paperback
The Ultimate Guide to Rebuilding a Civilization: A Technical Manual for the Post-Collapse Era
Evans, James
Paperback
Force of Nature: Understanding Evolution's Deepest Logic-And Putting It to Use
Jones, Owen D.
Hardcover
Judas Dentistry: How Dentists Scorn Science, Break the Hippocratic Oath, and Wreck Their Patients' Minds and Bodies
Yoho, (Ret) Robert
Paperback
You Look Like a Thing and I Love You: How Artificial Intelligence Works and Why It's Making the World a Weirder Place
Shane, Janelle
Paperback
Liquid Rules: The Delightful and Dangerous Substances That Flow Through Our Lives
Miodownik, Mark
Paperback
The New Guys: The Historic Class of Astronauts That Broke Barriers and Changed the Face of Space Travel
Bagby, Meredith
Paperback
Science in Seconds for Kids: Over 100 Experiments You Can Do in Ten Minutes or Less
Potter, Jean
Stier, Samuel Cord
Paperback
Baked to Perfection: Winner of the Fortnum & Mason Food and Drink Awards 2022
Cermelj, Katarina
Hardcover
When the Forest Breathes: Renewal and Resilience in the Natural World (Large Print Edition)
Simard, Suzanne
Paperback
Stay Curious and Keep Exploring: 50 Amazing, Bubbly, and Creative Science Experiments to Do with the Whole Family
Calandrelli, Emily
Hardcover
Notes on Complexity: A Scientific Theory of Connection, Consciousness, and Being
Theise, Neil
Paperback
Designing for People: An Introduction to Human Factors Engineering
Wickens, Christopher D.
Liu, Yili
Boyle, Linda Ng
Paperback
Kobuk the Destroyer: And Other Tales from the Wild, Unseen World of Test Engineering
Davies, Alex
Hardcover
Gray's Anatomy (Deluxe Leatherbound Edition): Anatomy Descriptive and Surgical
Gray, Henry, Frs
Hardcover
The Next Big Thing: Innovations for a Better, Smarter, Stronger Tomorrow
Trefil, James
Marciano, Rob
Hardcover
180 Days(tm) Science for Sixth Grade: Practice, Assess, Diagnose
Bayne, Bebra
Homayoun, Lauren
Paperback
Think in Systems: The Art of Strategic Planning, Effective Problem Solving, And Lasting Results
McKey, Zoe
Paperback
Why Nobody Understands Quantum Physics: The Story of the Science That Shapes Our World
Broeckaert, Céline
Verstraete, Frank
Hardcover
Stuff Matters: Exploring the Marvelous Materials That Shape Our Man-Made World
Miodownik, Mark
Paperback
The Salmon Cannon and the Levitating Frog: And Other Serious Discoveries of Silly Science
York, Carly Anne
Hardcover
The Physics of Wall Street: A Brief History of Predicting the Unpredictable
Weatherall, James Owen
Paperback
Outer Space Is Closer Than Antarctica: And Other Things I Learned While Falling in Love at the Bottom of the World
Ott, Michelle
Hardcover
They Had Names: Tracing the History of the North American Indigenous People
Jeanson, Nathaniel
Hardcover
Allies for Awakening: Guidelines for productive and safe experiences with entheogens
Metzner, Ralph
Paperback
The Peptide Protocols: Exploring the Science for Human Optimization: Exploring the
Smith, W. T.
Paperback
Pseudoscience: An Amusing History of Crackpot Ideas and Why We Love Them
Kang, Lydia
Pedersen, Nate
Hardcover
The Theoretical Minimum: What You Need to Know to Start Doing Physics
Hrabovsky, George
Susskind, Leonard
Paperback
The Autobiography of Nikola Tesla and Other Works (Deluxe Leatherbound Edition)
Tesla, Nikola
Martin, Thomas Commerford
Hardcover
The Radioactive Boy Scout: The Frightening True Story of a Whiz Kid and His Homemade Nuclear Reactor
Silverstein, Ken
Paperback
Counterclockwise: Using Peptides to Renew, Rejuvenate, and Rediscover (Large Print Edition)
Ferree, Suzanne J.
Hardcover
Signals from the Subatomic World: How to Build a Proton Precession Magnetometer
Hollos, Stefan
Hollos, Richard
Paperback
Labwork to Leadership: A Concise Guide to Thriving in the Science Job You Weren't Trained for
Heemstra, Jen
Hardcover
The One Thing You Need to Know: The Simple Way to Understand the Most Important Ideas in Science
Chown, Marcus
Paperback
The Pale Blue Data Point: An Earth-Based Perspective on the Search for Alien Life
Willis, Jon
Hardcover
Is This an Agate?: An Illustrated Guide to Lake Superior's Beach Stones Michigan
Robinson, Susan
Paperback
Elementary Science Education: Building Foundations of Scientific Understanding, Vol. II, grades 3-5, 2nd ed.
Nebel, Bernard J.
Paperback
Avoiding the Great Filter: Illuminating Pathways to Humanity's Future in the Cosmos
Rosen, Philip E.
Jiang, Jonathan H.
Hardcover
GED Test Prep - Science & Social Studies: A Quickstudy Laminated Reference Guide
Miskevich, Frank
Berg Scherer, Rachel
Other
Middle School Science Education: Building Foundations of Scientific Understanding, Vol. III, Grades 6-8
Nebel, Bernard J.
Paperback
Life in Sync: The Science of Internal Clocks and How We're Disrupting Them
Gander, Philippa
Hardcover
Ether Day: The Strange Tale of America's Greatest Medical Discovery and the Haunted Men Who Made It
Fenster, J. M.
Paperback
Lottery Manifestation: HOW TO WIN THE LOTTERY 100% GUARANTEED Or Your Money Back!!!: Lottery Books: Proven Methods And Strategies Using THE L
Secrets, Powerball Money
Paperback
Physics of the Impossible: A Scientific Exploration Into the World of Phasers, Force Fields, Teleportation, and Time Travel
Kaku, Michio
Paperback
180 Days(tm) Geography for Fourth Grade: Practice, Assess, Diagnose
Aracich, Chuck
Aracich, Charles
Paperback
Science and Cooking: Physics Meets Food, from Homemade to Haute Cuisine
Brenner, Michael
Sörensen, Pia
Weitz, David
Hardcover
Hunt for the Skinwalker: Science Confronts the Unexplained at a Remote Ranch in Utah
Kelleher, Colm A.
Knapp, George
Paperback
Art-Science Undisciplined: A Playbook for Transformative Collaboration
Balasubramanian, Janani
Gosnell, Natalie
Paperback
Reactions: An Illustrated Exploration of Elements, Molecules, and Change in the Universe
Gray, Theodore
Paperback
Storytime Stem: Nursery Rhymes: 10 Favorite Rhymes with Hands-On Investigations
Rhodes, Immacula
Rhodes, Immacula A.
Paperback
The Forgotten Sense: The New Science of Smell--And the Extraordinary Power of the Nose
Olofsson, Jonas
Hardcover