{"title":"Analytic","description":"\u003cp\u003eAnalytic geometry, a branch of mathematics within the geometry category, focuses on the study of geometric objects using coordinate systems and algebraic equations. This subject explores the interplay between algebraic methods and geometric shapes, providing foundational tools for understanding line equations, conic sections, and spatial reasoning. Analytic geometry bridges pure geometry and algebra, making it crucial for students and researchers working with mathematical proofs and problem-solving.\u003c\/p\u003e\u003cp\u003eTo navigate analytic geometry efficiently, readers may focus on specific topics such as coordinate systems, the properties of curves and surfaces, or applications in higher dimensions. Returning to the broader geometry category enables comparison with related fields like Euclidean and non-Euclidean geometry, helping refine study areas or connect analytic approaches to other mathematical subdisciplines.\u003c\/p\u003e","products":[{"product_id":"symmetry-journey-into-patterns-nature-9780060789411-new","title":"Symmetry: A Journey Into the Patterns of Nature","description":"Symmetry is all around us. Of fundamental significance to the way we interpret the world, this unique, pervasive phenomenon indicates a dynamic relationship between objects. Combining a rich historical narrative with his own personal journey as a mathematician, Marcus du Sautoy takes a unique look into the mathematical mind as he explores deep conjectures about symmetry and brings us face-to-face with the oddball mathematicians, both past and present, who have battled to understand symmetry's elusive qualities.","brand":"PERENNIAL","offers":[{"title":"New","offer_id":50167268507938,"sku":"9780060789411-new","price":17.85,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9780060789411.jpg?v=1753564149"},{"product_id":"complex-analytic-geometry-localization-viewpoint-9789814374705-new","title":"Complex Analytic Geometry: From the Localization Viewpoint","description":"\u003cp\u003eComplex Analytic Geometry is a subject that could be termed, in short, as the study of the sets of common zeros of complex analytic functions. It has a long history and is closely related to many other fields of Mathematics and Sciences, where numerous applications have been found, including a recent one in the Sato hyperfunction theory.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis book is concerned with, among others, local invariants that arise naturally in Complex Analytic Geometry and their relations with global invariants of the manifold or variety. The idea is to look at them as residues associated with the localization of some characteristic classes. Two approaches are taken for this - topological and differential geometric - and the combination of the two brings out further fruitful results. For this, on one hand, we present detailed description of the Alexander duality in combinatorial topology. On the other hand, we give a thorough presentation of the Čech-de \u003c\/p\u003e\u003cp\u003eRham cohomology and integration theory on it. This viewpoint provides us with the way for clearer and more precise presentations of the central concepts as well as fundamental and important results that have been treated only globally so far. It also brings new perspectives into the subject and leads to further results and applications.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe book starts off with basic material and continues by introducing characteristic classes via both the obstruction theory and the Chern-Weil theory, explaining the idea of localization of characteristic classes and presenting the aforementioned invariants and relations in a unified way from this perspective. Various related topics are also discussed. The expositions are carried out in a self-containing manner and includes recent developments. The profound consequences of this subject will make the book useful for students and researchers in fields as diverse as Algebraic Geometry, Complex Analytic Geometry, Differential Geometry, Topology, Singularity Theory, Complex Dynamical Systems, Algebraic Analysis and Mathematical Physics.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543695556898,"sku":"9789814374705-new","price":206.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814374705.jpg?v=1776389893"},{"product_id":"classical-complex-analysisvol1-9789814261234-new","title":"Classical Complex Analysis(vol.1)","description":"Classical Complex Analysis, available in two volumes, provides a clear, broad and solid introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. Volume 1 begins with a geometric description of what a complex number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric properties of analytic functions are then developed and described in detail, and various applications of residues are included; analytic continuation is also introduced.The book is rich in contents, figures, examples and exercises. It is self-contained and is designed for a variety of usages and motivations concerning advanced studies. It can be used both as a textbook for undergraduate and graduate students, and as a reference book in general.","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543821156642,"sku":"9789814261234-new","price":98.93,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814261234.jpg?v=1776392465"},{"product_id":"analytical-geometry-v8-9789812568571-new","title":"Analytical Geometry (V8)","description":"\u003cp\u003eThis volume discusses the classical subjects of Euclidean, affine and projective geometry in two and three dimensions, including the classification of conics and quadrics, and geometric transformations. These subjects are important both for the mathematical grounding of the student and for applications to various other subjects. They may be studied in the first year or as a second course in geometry.\u003c\/p\u003e\u003cp\u003eThe material is presented in a geometric way, and it aims to develop the geometric intuition and thinking of the student, as well as his ability to understand and give mathematical proofs. Linear algebra is not a prerequisite, and is kept to a bare minimum.\u003c\/p\u003e\u003cp\u003eThe book includes a few methodological novelties, and a large number of exercises and problems with solutions. It also has an appendix about the use of the computer program MAPLEV in solving problems of analytical and projective geometry, with examples.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544082088226,"sku":"9789812568571-new","price":44.86,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789812568571.jpg?v=1776397691"},{"product_id":"bounded-symmetric-domains-banach-spaces-9789811214103-new","title":"Bounded Symmetric Domains in Banach Spaces","description":"\u003cp\u003eThis timely book exposes succinctly recent advances in the geometric and analytic theory of bounded symmetric domains. A unique feature is the unified treatment of both finite and infinite dimensional symmetric domains, using Jordan theory in tandem with Lie theory. The highlights include a generalized Riemann mapping theorem, which realizes a bounded symmetric domain as the open unit ball of a complex Banach space with a Jordan structure. Far-reaching applications of this realization in complex geometry and function theory are discussed.\u003c\/p\u003e\u003cp\u003eThis monograph is intended as a convenient reference for researchers and graduate students in geometric analysis, infinite dimensional holomorphy as well as functional analysis and operator theory.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544473731362,"sku":"9789811214103-new","price":144.63,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811214103.jpg?v=1776404608"},{"product_id":"riemannian-geometry-orthogonal-9789810247478-new","title":"Riemannian Geometry in an Orthogonal....","description":"\u003cp\u003eForeword by \u003cstrong\u003eS S\u003c\/strong\u003e\u003cstrong\u003eChern\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eIn 1926-27, Cartan gave a series of lectures in which he introduced exterior forms at the very beginning and used extensively orthogonal frames throughout to investigate the geometry of Riemannian manifolds. In this course he solved a series of problems in Euclidean and non-Euclidean spaces, as well as a series of variational problems on geodesics. In 1960, Sergei P Finikov translated from French into Russian his notes of these Cartan's lectures and published them as a book entitled Riemannian Geometry in an Orthogonal Frame. This book has many innovations, such as the notion of intrinsic normal differentiation and the Gaussian torsion of a submanifold in a Euclidean multidimensional space or in a space of constant curvature, an affine connection defined in a normal fiber bundle of a submanifold, etc. It has now been translated into English by Vladislav V Goldberg, currently Distinguished Professor of Mathematics at the New Jersey Institute of Technology, USA, who also edited the Russian edition.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544502206754,"sku":"9789810247478-new","price":52.13,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789810247478.jpg?v=1776405683"},{"product_id":"analytical-geometry-v8-9789810231583-new","title":"Analytical Geometry (V8)","description":"\u003cp\u003eThis volume discusses the classical subjects of Euclidean, affine and projective geometry in two and three dimensions, including the classification of conics and quadrics, and geometric transformations. These subjects are important both for the mathematical grounding of the student and for applications to various other subjects. They may be studied in the first year or as a second course in geometry.\u003c\/p\u003e\u003cp\u003eThe material is presented in a geometric way, and it aims to develop the geometric intuition and thinking of the student, as well as his ability to understand and give mathematical proofs. Linear algebra is not a prerequisite, and is kept to a bare minimum.\u003c\/p\u003e\u003cp\u003eThe book includes a few methodological novelties, and a large number of exercises and problems with solutions. It also has an appendix about the use of the computer program MAPLEV in solving problems of analytical and projective geometry, with examples.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544510923042,"sku":"9789810231583-new","price":77.07,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789810231583.jpg?v=1776405963"}],"url":"https:\/\/www.albakireads.com\/collections\/mathematics-geometry-analytic.oembed","provider":"AlbakiReads","version":"1.0","type":"link"}