Sign-In
Cart
Dimensional Analysis Beyond the Pi Theorem
Paperback
Technology & EngineeringGeneral MathematicsPhysics
ISBN13: 9783319833590
Publisher: Springer Nature
Published: Jun 28 2018
Pages: 266
Weight: 0.90
Height: 0.60 Width: 6.14 Depth: 9.21
Language: English
Dimensional Analysis and Physical Similarity are well understood subjects, and the general concepts of dynamical similarity are explained in this book. Our exposition is essentially different from those available in the literature, although it follows the general ideas known as Pi Theorem. There are many excellent books that one can refer to; however, dimensional analysis goes beyond Pi theorem, which is also known as Buckingham's Pi Theorem. Many techniques via self-similar solutions can bound solutions to problems that seem intractable.
A time-developing phenomenon is called self-similar if the spatial distributions of its properties at different points in time can be obtained from one another by a similarity transformation, and identifying one of the independent variables as time. However, this is where Dimensional Analysis goes beyond Pi Theorem into self-similarity, which has represented progress for researchers.
In recent years there has been a surge of interest in self-similar solutions of the First and Second kind. Such solutions are not newly discovered; they have been identified and named by Zel'dovich, a famous Russian Mathematician in 1956. They have been used in the context of a variety of problems, such as shock waves in gas dynamics, and filtration through elasto-plastic materials.
Self-Similarity has simplified computations and the representation of the properties of phenomena under investigation. It handles experimental data, reduces what would be a random cloud of empirical points to lie on a single curve or surface, and constructs procedures that are self-similar. Variables can be specifically chosen for the calculations.
1 different editions
Also available
Also in
General Mathematics
The Secret Lives of Numbers: A Hidden History of Math's Unsung Trailblazers
Kitagawa, Kate
Revell, Timothy
Hardcover
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Feynman, Richard P.
Leighton, Robert B.
Sands, Matthew
Paperback
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols
Art Meets Science
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
Do Plants Know Math?: Unwinding the Story of Plant Spirals, from Leonardo Da Vinci to Now
Dumais, Jacques
Douady, Stéphane
Golé, Christophe
Hardcover
Counting with - Contando Con Frida: A Bilingual Counting Book
Stein, Ariana
Rodriguez, Patty
Hardcover
Mathematics: An Illustrated History of Numbers (100 Ponderables) Revised and Updated
Jackson, Tom
Hardcover
Vector: A Surprising Story of Space, Time, and Mathematical Transformation
Arianrhod, Robyn
Hardcover
Math Games with Bad Drawings: 75 1/4 Simple, Challenging, Go-Anywhere Games--And Why They Matter
Orlin, Ben
Hardcover
Waves in an Impossible Sea: How Everyday Life Emerges from the Cosmic Ocean
Strassler, Matt
Hardcover
Sudoku for Brain Fitness: 90-Day Challenge to Sharpen the Mind and Strengthen Cognitive Skills
Demyanovich, Julie
Clontz, Steven
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
A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)
Oakley, Barbara
Paperback
Touchthinklearn: Numbers: (Board Books for Baby Learners, Touch Feel Books for Children)
Deneux, Xavier
Hardcover
The Art of Strategy: A Game Theorist's Guide to Success in Business and Life
Nalebuff, Barry J.
Dixit, Avinash K.
Paperback
Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology
Sutton, Daud
Ashton, Anthony
Lundy, Miranda
Hardcover
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Hardcover
50 Math Tricks That Will Change Your Life: Mentally Solve the Impossible in Seconds
Zakowich, Tanya
Paperback
Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning
Liljedahl, Peter
Paperback
SAT Math Workbook: Up-To-Date Practice for the Digital Exam
Leff, Lawrence S.
Barron's Educational Series
Paperback
Math Fundamentals 3 - Geometry: A Quickstudy Laminated Reference Guide
Warren, Peggy
Wright, Susan
Expolog LLC
Other
Sciencia: Mathematics, Physics, Chemistry, Biology, and Astronomy for All
Tweed, Matt
Watkins, Matthew
Betts, Moff
Hardcover
Mathematical Methods for Physics and Engineering: A Comprehensive Guide
Bence, S. J.
Riley, K. F.
Hobson, M. P.
Paperback
SAT Level Up! Math: 300+ Easy, Medium, and Hard Drill Questions for Scoring Success on the Digital SAT
The Princeton Review
Paperback
Math Makers: The Lives and Works of 50 Famous Mathematicians
Posamentier, Alfred S.
Spreitzer, Christian
Hardcover
Math Practice Workbook Grades 6-8: 1000+ Questions You Need to Kill in Middle School by Brain Hunter Prep
Brain Hunter Prep
Paperback
Schaum's Outline of Mathematical Handbook of Formulas and Tables
Lipschutz, Seymour
Liu, John
Spiegel, Murray R.
Paperback
Making Democracy Count: How Mathematics Improves Voting, Electoral Maps, and Representation
Volic, Ismar
Hardcover
Productive Math Struggle: A 6-Point Action Plan for Fostering Perseverance
Sangiovanni, John J.
Dykema, Kevin J.
Katt, Susie
Paperback
Machine Learning with PyTorch and Scikit-Learn: Develop machine learning and deep learning models with Python
Liu, Yuxi (Hayden)
Raschka, Sebastian
Paperback
Origami Polyhedra for Beginners: Amazing Geometric Paper Models from a Leading Japanese Expert!
Kawamura, Miyuki
Paperback
The Mathematics Playbook: Implementing What Works Best in the Classroom
Almarode, John T.
Thunder, Kateri
Shin, Michelle
Paperback
Elementary and Middle School Mathematics: Teaching Developmentally
Bay-Williams, Jennifer
Van de Walle, John
Karp, Karen
Paperback
STEM Study Habits: Successfully Navigate Math, Science, Engineering, and Life for Your Degree
Borglum, Scyller
Paperback
Visible Learning for Mathematics, Grades K-12: What Works Best to Optimize Student Learning
Fisher, Douglas
Frey, Nancy
Hattie, John
Paperback
Creation, Separation, and the Mind - The Three Towers of Singularity: The Application of Universal Code in Reality
Martin, David E.
Schwarzer, Norbert
Wismann, William E.
Hardcover
Serious Cryptography, 2nd Edition: A Practical Introduction to Modern Encryption
Aumasson, Jean-Philippe
Paperback
Nonstandard Notebook: Mathematically Ruled Pages for Unruly Thoughts
Chartier, Tim
Langville, Amy
Paperback
Concrete Mathematics: A Foundation for Computer Science
Knuth, Donald
Graham, Ronald
Patashnik, Oren
Hardcover
Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else
Ellenberg, Jordan
Paperback
The 125 Best Brain Teasers of All Time: A Mind-Blowing Challenge of Math, Logic, and Wordplay
Danesi, Marcel
Paperback
Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks
Benjamin, Arthur
Shermer, Michael
Paperback
The Principia: The Authoritative Translation: Mathematical Principles of Natural Philosophy
Newton, Isaac
Paperback
The Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science
Schneider, Michael S.
Paperback
Who Gets What -- And Why: The New Economics of Matchmaking and Market Design
Roth, Alvin E.
Paperback
Theory of Games and Economic Behavior (Large Print Edition)
Neumann, John Von
Morgenstern, Oskar
Hardcover
Math Fundamentals 1 - Number Sense & Operations: A Quickstudy Laminated Reference Guide
Warren, Peggy
Wright, Susan
LLC
Other
Beautiful Math: The Surprisingly Simple Ideas Behind the Digital Revolution in How We Live, Work, and Communicate
Bernhardt, Chris
Hardcover
Beyond Measure: The Hidden History of Measurement from Cubits to Quantum Constants
Vincent, James
Paperback
GED Math Test Tutor, for the 2024-2025 GED Test: All the Tools You Need to Succeed
Rush, Sandra
Paperback
The Misbehavior of Markets: A Fractal View of Financial Turbulence
Mandelbrot, Benoit
Hudson, Richard L.
Paperback
Number Systems and the Foundations of Analysis
Mendelson, Elliott
Dudley, Underwood
Mathematics
Paperback
Cybernetics: Or the Control and Communication in the Animal and the Machine
Wiener, Norbert
Paperback
100 Days of Timed Tests, Multiplication, and Division Facts 1 to 12, Grade 3-5, Math Drills, Daily Practice Workbook
Abczbook Press
Paperback