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[null,"1.","Record Nr.",null,"UNINA9910554281203321"]
[null,null,"Autore",null,"Chang Stanley"]
[null,null,"Titolo",null,"A course on surgery theory / / Stanley Chang, Shmuel Weinberger [[electronic resource]]"]
[null,null,"Pubbl/distr/stampa",null,"Princeton : , : Princeton University Press, , 2021"]
[null,null,"ISBN",null,"0-691-20035-1"]
[null,null,"Descrizione fisica",null,"1 online resource (472 p.) : 14 b/w illus"]
[null,null,"Collana",null,"Annals of mathematics studies ; ; number 211"]
[{"$nulls":4},"Princeton scholarship online"]
[null,null,"Classificazione",null,"415.7"]
[null,null,"Disciplina",null,"605"]
[null,null,"Soggetti",null,"Surgery (Topology)"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Also issued in print: 2021."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Frontmatter -- Contents -- List of Figures -- Preface -- Introduction -- 1 The characterization of homotopy types -- 2 Some calculations of L-groups -- 3 Classical surgery theory -- 4 Topological surgery and surgery spaces -- 5 Applications of the assembly map -- 6 Beyond characteristic classes -- 7 Flat and almost flat manifolds -- 8 Other surgery theories -- Appendix A: Some background in algebraic topology -- Appendix B: Geometric preliminaries -- List of Symbols -- Bibliography -- Index"]
[null,null,null,"Sommario/riassunto","Surgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. This book offers a modern look at this important mathematical discipline and some of its applications. In this book, Stanley Chang and Shmuel Weinberger explain some of the triumphs of surgery theory during the past three decades, from both an algebraic and geometric point of view. They also provide an extensive treatment of basic ideas, main theorems, active applications, and recent literature. The authors methodically cover all aspects of surgery theory, connecting it to other relevant areas of mathematics, including geometry, homotopy theory, analysis, and algebra. Later chapters are self-contained, so readers can study them directly based on topic interest."]
[null,"2.","Record Nr.",null,"UNINA9910300150903321"]
[null,null,"Autore",null,"Morais João Pedro"]
[null,null,"Titolo",null,"Real Quaternionic Calculus Handbook / / by João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig"]
[null,null,"Pubbl/distr/stampa",null,"Basel : , : Springer Basel : , : Imprint : Birkhäuser, , 2014"]
[null,null,"ISBN",null,"3-0348-0622-1"]
[null,null,"Edizione",null,"[1st ed. 2014.]"]
[null,null,"Descrizione fisica",null,"1 online resource (222 p.)"]
[null,null,"Disciplina",null,"512.5"]
[null,null,"Soggetti",null,"Nonassociative rings"]
[{"$nulls":4},"Rings (Algebra)"]
[{"$nulls":4},"Functions of complex variables"]
[{"$nulls":4},"Combinatorial analysis"]
[{"$nulls":4},"Matrix theory"]
[{"$nulls":4},"Algebra"]
[{"$nulls":4},"Geometry"]
[{"$nulls":4},"Non-associative Rings and Algebras"]
[{"$nulls":4},"Functions of a Complex Variable"]
[{"$nulls":4},"Combinatorics"]
[{"$nulls":4},"Linear and Multilinear Algebras, Matrix Theory"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages [211]-213) and index."]
[null,null,"Nota di contenuto",null,"1 An introduction to quaternions -- 2 Quaternions and spatial rotation -- 3 Quaternion sequences -- 4 Quaternion series and infinite products -- 5 Exponents and logarithms -- 6 Trigonometric functions -- 7 Hyperbolic functions -- 8 Inverse hyperbolic and trigonometric functions -- 9 Quaternion matrices -- 10 Monomials, polynomials and binomials -- 11 Solutions -- Bibliography -- Index."]
[null,null,null,"Sommario/riassunto","Real quaternion analysis is a multi-faceted subject. Created to describe phenomena in special relativity, electrodynamics, spin etc., it has developed into a body of material that interacts with many branches of mathematics, such as complex analysis, harmonic analysis, differential geometry, and differential equations. It is also a ubiquitous factor in the description and elucidation of problems in mathematical physics. In the meantime real quaternion analysis has become a well established branch in mathematics and has been greatly successful in many different directions. This book is based on concrete examples and "]
[{"$nulls":4},"exercises rather than general theorems, thus making it suitable for an introductory one- or two-semester undergraduate course on some of the major aspects of real quaternion analysis in exercises. Alternatively, it may be used for beginning graduate level courses and as a reference work. With exercises at the end of each chapter and its straightforward writing style the book addresses readers who have no prior knowledge on this subject but have a basic background in graduate mathematics courses, such as real and complex analysis, ordinary differential equations, partial differential equations, and theory of distributions."]