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Exploring the vast and elegant theories in topology, this text ensures a smooth transition from calculus-level mathematical maturity to the level required to understand abstract manifolds and topology. It begins with differential and integral calculus, leads you through the intricacies of manifold theory, and concludes with discussions on algebraic topology, algebraic/differential geometry, and Lie groups. The book contains all standard results as well as several equivalent definitions of the Euler characteristic. Exercises are included in each chapter, with solutions and hints at the back of the book.…mehr

Produktbeschreibung
Exploring the vast and elegant theories in topology, this text ensures a smooth transition from calculus-level mathematical maturity to the level required to understand abstract manifolds and topology. It begins with differential and integral calculus, leads you through the intricacies of manifold theory, and concludes with discussions on algebraic topology, algebraic/differential geometry, and Lie groups. The book contains all standard results as well as several equivalent definitions of the Euler characteristic. Exercises are included in each chapter, with solutions and hints at the back of the book.

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Autorenporträt
Anant R. Shastri is a professor in the Department of Mathematics at the Indian Institute of Technology, Bombay. His research interests encompass topology and algebraic geometry.