Sign-In
Cart
Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra
Hardcover
Series: Undergraduate Texts in Mathematics
ISBN13: 9781493929689
Publisher: Springer Nature
Published: Nov 14 2015
Pages: 285
Weight: 1.34
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly accessible to advanced undergraduates, as well as beginning graduate students, this second edition is perfect for a capstone course, and adds two new chapters, many new exercises, and updated open problems. For scientists, this text can be utilized as a self-contained tooling device.
The topics include a friendly invitation to Ehrhart's theory of counting lattice points in polytopes, finite Fourier analysis, the Frobenius coin-exchange problem, Dedekind sums, solid angles, Euler-Maclaurin summation for polytopes, computational geometry, magic squares, zonotopes, and more.
With more than 300 exercises and open research problems, the reader is an active participant, carried through diverse but tightly woven mathematical fields that are inspired by an innocently elementary question: What are the relationships between the continuous volume of a polytope and its discrete volume?
Reviews of the first edition:
You owe it to yourself to pick up a copy of Computing the Continuous Discretely to read about a number of interesting problems in geometry, number theory, and combinatorics.
- MAA Reviews
The book is written as an accessible and engaging textbook, with many examples, historical notes, pithy quotes, commentary integrating the mate
rial, exercises, open problems and an extensive bibliography.- Zentralblatt MATH
This beautiful book presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex polyhedron.
- Mathematical Reviews
Many departments recognize the need for capstone courses in which graduating students can see the tools they have acquired come together in some satisfying
way. Beck and Robins have written the perfect text for such a course.- CHOICE
1 different editions
Also available
Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra
Beck, Matthias
Robins, Sinai
Paperback
Also in
General Mathematics
Math Practice Workbook Grades 6-8: 1000+ Questions You Need to Kill in Middle School by Brain Hunter Prep
Brain Hunter Prep
Paperback
Math Games with Bad Drawings: 75 1/4 Simple, Challenging, Go-Anywhere Games--And Why They Matter
Orlin, Ben
Hardcover
The Great Math War: How Three Brilliant Minds Fought for the Foundations of Mathematics
Bardi, Jason Socrates
Hardcover
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Feynman, Richard P.
Leighton, Robert B.
Sands, Matthew
Paperback
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Paperback
Counting with - Contando Con Frida (Bilingual: English/Spanish): A Bilingual Counting Book
Stein, Ariana
Rodriguez, Patty
Hardcover
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Hardcover
Sudoku for Brain Fitness: 90-Day Challenge to Sharpen the Mind and Strengthen Cognitive Skills
Clontz, Steven
Demyanovich, Julie
Paperback
Vector: A Surprising Story of Space, Time, and Mathematical Transformation
Arianrhod, Robyn
Hardcover
The Art of Strategy: A Game Theorist's Guide to Success in Business and Life
Nalebuff, Barry J.
Dixit, Avinash K.
Paperback
50 Math Tricks That Will Change Your Life: Mentally Solve the Impossible in Seconds
Zakowich, Tanya
Paperback
Talentos Ocultos: La Genialidad No Tiene Color. La Fuerza No Tiene Género. El Valor No Tiene Límite.
Shetterly, Margot Lee
Paperback
The Indisputable Existence of Santa Claus: The Mathematics of Christmas
Evans, Thomas Oléron
Fry, Hannah
Hardcover
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Paperback
Who Gets What -- And Why: The New Economics of Matchmaking and Market Design
Roth, Alvin E.
Paperback
A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)
Oakley, Barbara
Paperback
Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology
Sutton, Daud
Lundy, Miranda
Ashton, Anthony
Hardcover
100 Days of Timed Tests, Multiplication, and Division Facts 1 to 12, Grade 3-5, Math Drills, Daily Practice Workbook
Abczbook Press
Paperback
WorkKeys Study Guide and Practice Test Questions: ACT WorkKeys Exam Prep and Review Book with Applied Mathematics, Locating Information, and Reading f
Trivium Exam Prep Team
Paperback
Touchthinklearn: Numbers: (Board Books for Baby Learners, Touch Feel Books for Children)
Deneux, Xavier
Hardcover
SAT Level Up! Math: 300+ Easy, Medium, and Hard Drill Questions for Scoring Success on the Digital SAT
The Princeton Review
Paperback
Sciencia: Mathematics, Physics, Chemistry, Biology, and Astronomy for All
Tweed, Matt
Watkins, Matthew
Betts, Moff
Hardcover
Un Elefante: Numbers / Números (Bilingual: English/Spanish): A Bilingual Counting Book
Rodriguez, Patty
Stein, Ariana
Hardcover
Machine Learning with PyTorch and Scikit-Learn: Develop machine learning and deep learning models with Python
Liu, Yuxi (Hayden)
Mirjalili, Vahid
Raschka, Sebastian
Paperback
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Hardcover
Graph Paper Composition Notebook: Quad Ruled 5x5, Grid Paper for Students in Math and Science
Wizo, Math
Paperback
Do Plants Know Math?: Unwinding the Story of Plant Spirals, from Leonardo Da Vinci to Now
Golé, Christophe
Dumais, Jacques
Douady, Stéphane
Hardcover
The 125 Best Brain Teasers of All Time: A Mind-Blowing Challenge of Math, Logic, and Wordplay
Danesi, Marcel
Paperback
The Secret Lives of Numbers: A Hidden History of Math's Unsung Trailblazers
Revell, Timothy
Kitagawa, Kate
Hardcover
Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks
Shermer, Michael
Benjamin, Arthur
Paperback
The Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science
Schneider, Michael S.
Paperback
Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everythingelse
Ellenberg, Jordan
Paperback
Concrete Mathematics: A Foundation for Computer Science
Patashnik, Oren
Knuth, Donald
Graham, Ronald
Hardcover
Theory of Games and Economic Behavior (Large Print Edition)
Neumann, John Von
Morgenstern, Oskar
Hardcover
Schaum's Outline of Mathematical Handbook of Formulas and Tables
Spiegel, Murray R.
Lipschutz, Seymour
Liu, John
Paperback
GED Math Test Tutor, for the 2025-2026 GED Test: All the Tools You Need to Succeed
Rush, Sandra
Paperback
Waves in an Impossible Sea: How Everyday Life Emerges from the Cosmic Ocean
Strassler, Matt
Hardcover
Exámenes Nacionales: XXV Onmapsb
Ochoa Castillo, Orlando
Meré Hidalgo, Pablo
Talamantes Román, Adrián
Paperback
Mastering Essential Math Skills, Book 2: Middle Grades/High School, 3rd Edition: 20 minutes a day to success
Fisher, Richard W.
Paperback
New York Post Fiendish Sudoku: The Official Utterly Addictive Number-Placing Puzzle
Gould, Wayne
Paperback
Mathematics of Machine Learning: Master linear algebra, calculus, and probability for machine learning
Danka, Tivadar
Paperback
HOW TO WIN MEGA MILLIONS LOTTERY JACKPOT ..How TO Increased Your odds by 71%: 2004 Pennsylvania Powerball Winner Tells LOTTERY&GAMBLING Secrets To Win
Secrets, Powerball Money
Paperback
To Mock a Mockingbird: And Other Logic Puzzles Including an Amazing Adventure in Combinatory Logic
Smullyan, Raymond M.
Paperback
Alan Turing: The Enigma: The Book That Inspired the Film the Imitation Game - Updated Edition
Hodges, Andrew
Paperback
New Art and Science of Teaching Mathematics: (Establish Effective Teaching Strategies in Mathematics Instruction)
Lang-Raad, Nathan D.
Marzano, Robert J.
Paperback
Serious Cryptography, 2nd Edition: A Practical Introduction to Modern Encryption
Aumasson, Jean-Philippe
Paperback