By R. H. Bing
This booklet belongs in either graduate and undergraduate libraries as an invaluable reference for college students and researchers in topology. it truly is directed towards mathematicians drawn to geometry who've had not less than a starting path in topology. it may give you the reader with a greater realizing of the actual homes of Euclidean 3-space--the area during which we presume we are living. The reader may still study of a few unsolved difficulties that proceed to baffle reseachers. the main profound bring about the quantity is the part approximation theorem. besides the fact that, a few of the initial effects and a few of the functions can be utilized extra usually for reference.
By Victor Andreevich Toponogov
The examine of curves and surfaces varieties a big a part of classical differential geometry. Differential Geometry of Curves and Surfaces: A Concise Guide provides conventional fabric during this box in addition to vital rules of Riemannian geometry. The reader is brought to curves, then to surfaces, and eventually to extra advanced themes. commonplace theoretical fabric is mixed with more challenging theorems and intricate difficulties, whereas conserving a transparent contrast among the 2 levels.
Key issues and features:
* Covers central strategies together with curves, surfaces, geodesics, and intrinsic geometry
* major fabric at the Aleksandrov worldwide perspective comparability theorem, which the writer generalized for Riemannian manifolds (a outcome referred to now because the celebrated Toponogov comparability Theorem, one of many cornerstones of recent Riemannian geometry)
* comprises many nontrivial and unique difficulties, a few with tricks and solutions
This rigorous exposition, with well-motivated issues, is perfect for complex undergraduate and first-year graduate scholars trying to input the fascinating international of geometry.
By Martin Lipschutz
Complicated Textbooks? ignored Lectures? no longer adequate Time? thankfully for you, there is Schaum's Outlines. greater than forty million scholars have relied on Schaum's to assist them reach the school room and on tests. Schaum's is the main to swifter studying and better grades in each topic. each one define provides all of the crucial path details in an easy-to-follow, topic-by-topic structure. you furthermore may get countless numbers of examples, solved difficulties, and perform routines to check your abilities. This Schaum's define offers perform issues of complete reasons that make stronger wisdom assurance of the main updated advancements on your direction box In-depth assessment of practices and purposes totally suitable along with your lecture room textual content, Schaum's highlights the entire vital evidence you want to comprehend. Use Schaum's to shorten your examine time-and get your most sensible attempt rankings! Schaum's Outlines-Problem Solved.
By Helgason S
Sigurdur Helgason's Differential Geometry and Symmetric areas used to be fast well-known as a notable and critical publication. for a few years, it used to be the traditional textual content either for Riemannian geometry and for the research and geometry of symmetric areas. numerous generations of mathematicians trusted it for its readability and cautious cognizance to element. even if a lot has occurred within the box because the ebook of this booklet, as confirmed by means of Helgason's personal three-volume enlargement of the unique paintings, this unmarried quantity remains to be a good assessment of the themes. for example, although there are actually many competing texts, the chapters on differential geometry and Lie teams remain the most effective remedies of the themes on hand. there's additionally a well-developed remedy of Cartan's type and constitution idea of symmetric areas. The final bankruptcy, on services on symmetric areas, continues to be a very good creation to the learn of round services, the speculation of invariant differential operators, and different themes in harmonic research. this article is rightly referred to as a vintage. Sigurdur Helgason was once offered the Steele Prize for teams and Geometric research and the significant other quantity, Differential Geometry, Lie teams and Symmetric areas.
By G. Tian
There was primary growth in advanced differential geometry within the final twenty years. For one, The uniformization conception of canonical Kähler metrics has been validated in greater dimensions, and lots of purposes were came upon, together with using Calabi-Yau areas in superstring thought. This monograph offers an creation to the idea of canonical Kähler metrics on complicated manifolds. It additionally offers a few complex subject matters now not simply discovered in different places.
By Aurel Bejancu
This self-contained ebook starts off with the fundamental fabric on distributions and foliations. It then steadily introduces and builds the instruments wanted for learning the geometry of foliated manifolds. the most subject matter of the booklet is to enquire the interrelations among foliations of a manifold at the one hand, and the various geometric buildings that the manifold may possibly admit however. between those buildings are: affine, Riemannian, semi-Riemannian, Finsler, symplectic, complicated and speak to buildings. utilizing those buildings, the publication offers attention-grabbing periods of foliations whose geometry is particularly wealthy and promising. those comprise the sessions of: Riemannian, completely geodesic, absolutely umbilical, minimum, parallel non-degenerate, parallel completely - null, parallel in part - null, symmetric, transversally symmetric, Lagrange, absolutely actual and Legendre foliations. a few of these sessions look for the 1st time within the literature in publication shape. ultimately, the vertical foliation of a vector package is used to increase a gauge conception at the overall house of a vector bundle.
By Luther Pfahler Eisenhart
Some of the earliest books, relatively these relationship again to the 1900s and ahead of, at the moment are super scarce and more and more dear. we're republishing those vintage works in reasonable, prime quality, smooth variants, utilizing the unique textual content and art.
By Boju Jiang, Chia-Kuei Peng, Zixin Hou
By L. I. Tatsien
The Fields Medal - arithmetic' an identical of the Nobel Prize - is gifted through the overseas Congress of Mathematicians (ICM) to acknowledge extraordinary mathematical fulfillment. even as, the overseas Mathematical Union awards the Nevanlinna Prize for paintings within the box of theoretical machine technological know-how.
The court cases of ICM-2002, released as a three-volume set, seize the spirit of the congress. the 1st quantity positive aspects the works of Fields Medallists and the Nevanlinna Prize winner, the plenary lectures, and the speeches and photographs of the outlet and shutting ceremonies and award periods. the opposite volumes current the invited lectures, prepared with admire to 19 fields of arithmetic.