By Klaus Hulek
By Naomi Bennett,Ehsan Khazeni
By Dan-Andrei Geba,Manoussos G Grillakis
The wave maps method is without doubt one of the most lovely and not easy nonlinear hyperbolic structures, which has captured the eye of mathematicians for greater than thirty years now. within the learn of its quite a few concerns, corresponding to the well-posedness thought, the formation of singularities, and the steadiness of the solitons, so as to receive optimum effects, one has to take advantage of complex instruments coming not just from research, but in addition from geometry and topology. additionally, the wave maps process is not anything except the Euler–Lagrange process for the nonlinear sigma version, that's one of many basic difficulties in classical box theory.
One of the objectives of our e-book is to offer an up to date and nearly self-contained evaluation of the most regularity effects proved for wave maps.
Another one is to introduce, to a large mathematical viewers, bodily encouraged generalizations of the wave maps approach (e.g., the Skyrme model), that are super attention-grabbing and tough of their personal right.
By Dolors Herbera,Wolfgang Pitsch,Santiago Zarzuela
Most of the abstracts current initial models of not-yet released effects and canopy plenty of issues (including commutative and non commutative algebra, algebraic topology, singularity idea, triangulated different types, illustration idea) overlapping with homological tools. This entire ebook is a worthwhile source for the neighborhood of researchers attracted to homological algebra in a vast experience, and people curious to benefit the most recent advancements within the area.
It appeals to tested researchers in addition to PhD and postdoctoral scholars who are looking to research extra concerning the most up-to-date advances in those hugely energetic fields of research.
By Krishan Duggal,Bayram Sahin
This publication provides learn at the most modern advancements in differential geometry of lightlike (degenerate) subspaces. the focus is on hypersurfaces and various submanifolds of indefinite Kählerian, Sasakian and quaternion Kähler manifolds.
By George K. Francis
Praise for George Francis's A Topological Picturebook:
Bravo to Springer for reissuing this special and gorgeous e-book! It not just reminds the older new release of the pleasures of doing arithmetic by means of hand, but additionally exhibits the recent new release what ``hands on'' quite means.
- John Stillwell, college of San Francisco
The Topological Picturebook has taught a complete iteration of mathematicians to attract, to determine, and to think.
- Tony Robbin, artist and writer of Shadows of fact: The Fourth measurement in Relativity, Cubism, and glossy Thought
The vintage reference for the way to provide topological information visually, jam-packed with remarkable hand-drawn pictures of complex surfaces.
- John Sullivan, Technische Universitat Berlin
A Topological Picturebook we could scholars see topology because the unique discoverers conceived it: concrete and visible, freed from the formalism that burdens traditional textbooks.
- Jeffrey Weeks, writer of The form of Space
A Topological Picturebook is a visible ceremonial dinner for a person occupied with mathematical images. Francis presents beautiful examples to construct one's "visualization muscles". even as, he explains the underlying rules and layout strategies for readers to create their very own lucid drawings.
- George W. Hart, Stony Brook University
In this number of narrative gemstones and exciting hand-drawn photos, George Francis demonstrates the chicken-and-egg dating, in arithmetic, of photograph and textual content. because the publication used to be first released, the case for images in arithmetic has been received, and now it's time to think of their which means. A Topological Picturebook is still indispensable.
- Marjorie Senechal, Smith collage and co-editor of the Mathematical Intelligencer
By Barrett O'Neill
Written basically for college kids who've accomplished the normal first classes in calculus and linear algebra, Elementary Differential Geometry, Revised second Edition, offers an creation to the geometry of curves and surfaces.
The moment variation maintained the accessibility of the 1st, whereas offering an advent to using pcs and increasing dialogue on definite issues. additional emphasis used to be put on topological houses, homes of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard.
This revision of the second one variation offers a radical replace of instructions for the symbolic computation courses Mathematica or Maple, in addition to extra computing device routines. As with the second one version, this fabric vitamins the content material yet no laptop ability is critical to take complete benefit of this complete text.
- Over 36,000 copies bought worldwide
- Accessible, useful but rigorous method of a posh topic--also compatible for self-study
- Extensive replace of appendices on Mathematica and Maple software program packages
- Thorough streamlining of moment edition's numbering system
- Fuller details on ideas to odd-numbered problems
- Additional workouts and tricks advisor scholars in utilizing the newest computing device modeling tools
By Reinhold Remmert,Georg Schumacher
Diese dritte Auflage wurde zusammen mit dem zweitgenannten Autor kritisch durchgesehen, ergänzt und verbessert. Ein weiteres Kapitel über geometrische Funktionentheorie und schlichte Funktionen enthält einen Beweis der Bieberbachschen Vermutung.
"Der ... vorliegende zweite Band der Funktionentheorie erfüllt voll die Erwartungen, die der erste Band geweckt hat. Wieder beeindrucken vor allem die hochinteressanten historischen Bemerkungen zu den einzelnen Themenkreisen, als besonderer Leckerbissen wird das Gutachten von Gauß über Riemanns Dissertation vorgestellt... Jedes einzelne Kapitel enthält ausführliche Literaturangaben. Ferner werden oft sehr aufschlussreiche Hinweise auf die Funktionentheorie mehrerer Veränderlicher gegeben. Die vielen Beispiele und Übungsaufgaben bilden eine wertvolle Ergänzung der brillant dargelegten Theorie. Der Rezensent bedauert, dass ihm nicht schon als scholar ein derartig umfassendes, qualitativ hochstehendes Lehrbuch zur Verfügung stand."
Monatshefte für Mathematik
By Temitope James
The identify of this ebook is a fabricated from the flavour of arithmetic. Make this ebook on your associate to unravel each one subject and learn how to resolve questions with supervision or on your own. examine the innovations of solution of questions and resolution them easily.
This ebook definitely fit your wishes within the pursuit of information and knowing of arithmetic. "Mathematics is your nutrients" is a sturdy conviction for critical scholars of arithmetic who desired to raise the facility and power of the answer of concerns in strict arithmetic. purchase the e-book and luxuriate in the flavour of mathematics
By Thomas Hull