Sign-In
Cart
Recent Progress in Mathematics
Paperback
Series: Kias Springer Mathematics, Book 1
Please select the version of book you would like to purchase.
ISBN10: 9811937109
ISBN13: 9789811937101
Publisher: Springer Nature
Published: Oct 2 2023
Pages: 200
Weight: 0.66
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English
ISBN13: 9789811937101
Publisher: Springer Nature
Published: Oct 2 2023
Pages: 200
Weight: 0.66
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English
This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction. Four of the chapters are expository in nature while one is based more directly on research. All deal with important areas of mathematics, however, such as algebraic geometry, topology, partial differential equations, Riemannian geometry, and harmonic analysis. This book is addressed to researchers who are interested in those subject areas.
Young-Hoon Kiem discusses classical enumerative geometry before string theory and improvements after string theory as well as some recent advances in quantum singularity theory, Donaldson-Thomas theory for Calabi-Yau 4-folds, and Vafa-Witten invariants.
Dongho Chae discusses the finite-time singularity problem for three-dimensional incompressible Euler equations. He presents Kato's classicallocal well-posedness results, Beale-Kato-Majda's blow-up criterion, and recent studies on the singularity problem for the 2D Boussinesq equations.
Simon Brendle discusses recent developments that have led to a complete classification of all the singularity models in a three-dimensional Riemannian manifold. He gives an alternative proof of the classification of noncollapsed steady gradient Ricci solitons in dimension 3.
Hyeonbae Kang reviews some of the developments in the Neumann-Poincare operator (NPO). His topics include visibility and invisibility via polarization tensors, the decay rate of eigenvalues and surface localization of plasmon, singular geometry and the essential spectrum, analysis of stress, and the structure of the elastic NPO.
Danny Calegari provides an explicit description of the shift locus as a complex of spaces over a contractible building. He describes the pieces in terms of dynamically extended laminations and of certain explicit discriminant-like affine algebraic varieties.
Dongho Chae discusses the finite-time singularity problem for three-dimensional incompressible Euler equations. He presents Kato's classicallocal well-posedness results, Beale-Kato-Majda's blow-up criterion, and recent studies on the singularity problem for the 2D Boussinesq equations.
Simon Brendle discusses recent developments that have led to a complete classification of all the singularity models in a three-dimensional Riemannian manifold. He gives an alternative proof of the classification of noncollapsed steady gradient Ricci solitons in dimension 3.
Hyeonbae Kang reviews some of the developments in the Neumann-Poincare operator (NPO). His topics include visibility and invisibility via polarization tensors, the decay rate of eigenvalues and surface localization of plasmon, singular geometry and the essential spectrum, analysis of stress, and the structure of the elastic NPO.
Danny Calegari provides an explicit description of the shift locus as a complex of spaces over a contractible building. He describes the pieces in terms of dynamically extended laminations and of certain explicit discriminant-like affine algebraic varieties.
1 different editions
Also available
Also from
Kang, Nam-Gyu
Also in
Geometry
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Hardcover
$59.99
The Little Book of Sacred Geometry: How to Harness the Power of Cosmic Patterns, Signs and Symbols
Carvel, Astrid
Paperback
$10.44
Math Fundamentals 3 - Geometry: For Middle School - A Quickstudy Laminated Reference Guide
Warren, Peggy
Wright, Susan
Expolog
Other
$6.60
6th and 7th Grade Math Workbook: Math Practice Book for Grade 6 and 7 [New Edition Includes 900] Practice Questions]
Apex Test Prep
Paperback
$19.49
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Paperback
$47.49
Do Plants Know Math?: Unwinding the Story of Plant Spirals, from Leonardo Da Vinci to Now
Douady, Stéphane
Golé, Christophe
Dumais, Jacques
Hardcover
$26.55
Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everythingelse
Ellenberg, Jordan
Paperback
$18.05
Sacred Geometry (Conscious Guides): How to Use Cosmic Patterns to Power Up Your Life
Foster, Jemma
Paperback
$18.04
Geometría Y Trigonometría Baldor 4a. Ed. / Baldor's Geometry and Trigonometry, 4th Edition
Baldor, Aurelio
Hardcover
$29.40
Drawing Circle Images: How to Draw Artistic Symmetrical Images with a Ruler and Compass
Studio, Musigfi
Paperback
$8.63
Drawing Geometric Solids: How to Draw Polyhedra from Platonic Solids to Star-Shaped Stellated Dodecahedrons
Design, Sympsionics
Paperback
$12.38
Mathematics: Its Content, Methods and Meaning
Lavrent'ev, M. a.
Aleksandrov, A. D.
Kolmogorov, A. N.
Paperback
$61.75
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
O'Shea, Donal
Cox, David A.
Little, John
Hardcover
$125.99
Make: Trigonometry: Build Your Way from Triangles to Analytic Geometry
Horvath, Joan
Cameron, Rich
Paperback
$28.49
College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle
Altshiller-Court, Nathan
Paperback
$17.05
Liberty's Grid: A Founding Father, a Mathematical Dreamland, and the Shaping of America
Alexander, Amir
Hardcover
$28.50
Geometry: 1001 Practice Problems for Dummies (+ Free Online Practice)
Kuang, Amber
Ma, Allen
Paperback
$66.50
4th Grade Math Workbook: 1500+ Practice Questions for Daily Exercise [Math Workbooks Grade 4]
Apex Test Prep
Paperback
$19.49
Amazing Patterns: Adult Coloring Book, Stress Relieving Mandala Style Patterns
Adult Colouring Books
Adult Coloring Books
Coloring Books for Adults
Paperback
$12.49
The Fifth Postulate: How Unraveling a Two-Thousand-Year-Old Mystery Unraveled the Universe
Bardi, Jason Socrates
Hardcover
$26.55
Tensor Calculus and Differential Forms: From Vector Calculus to the Geometry of Forms
Efthymiou, Thanasis
Hardcover
$28.49
Introduction to the Geometrical Foundations of General Relativity: A Compendium of Tensor Calculus
Wichmann, Bernd
Paperback
$24.64
A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra
MacLean, Kenneth J. M.
Hardcover
$40.80
Functional and Harmonic Analysis: Weighted Lebesgue Spaces, Muckenhoupt Weights, Convexity and Bmo Spaces
Chaparro Gutiérrez, Héctor Camilo
Castillo, René Erlin
Ramos-Fernández, Julio César
Paperback
$73.14
How to Do Good Mathematics: Differential Geometry, Global Topology, and the Wisdom of a Wolf Prize Laureate
Chern, Shiing-Shen
Hardcover
$75.95
Space and Geometry: In the Light of Physiological, Psychological, and Physical Inquiry
Ernst Mach
Paperback
$11.21