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Basic Algebraic Topology
Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and si
Elements of Differential Topology
Derived from the author's course on the subject, Elements of Differential Topology explores the vast and elegant theories in topology developed by Morse, Thom, Smale, Whitney, Milnor, and others. It begins with differential and integral calculus, leads you through the intricacies of manifold theory, and concludes with discussions on algebraic topol
Basic Algebraic Topology
Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and simplicial complexes. It then focuses on the fundamental group, covering spaces and elementary aspects of homology theory. It presents the central objects of study in topology visualization: manifolds. After developing the homology theory with coefficients, homology of the products, and cohomology algebra, the book returns to the study of manifolds, ...
Super Bus 2 Tb Basque
This thorough, yet simple book is an ideal text and reference for postgraduate students of mathematics. Although it covers a large number of topics, from basic theory of complex numbers to Cauchy s theorem, the informal, interactive style makes the book extremely digestible .
Stargazing
From being Champion of Champions to one of the world's top cricket commentators to Team India's head coach, Ravi Shastri has an incomparable perspective when it comes to the game of cricket. In Stargazing: The Players in My Life, the legendary all-rounder looks back at the extraordinary talent he has encountered over the years. Who is the former Indian captain who didn't do full justice to his talent? Or that bruising bowler who went on to become a best friend? What was the most important lesson the legendary Clive Llyod taught him? How does Shastri set aside his personal bond with Virat Kohli in his role as coach? Full of never-before-revealed anecdotes, Stargazing, co-written with Ayaz Memon and featuring illustrations by Shiva Rao, offers a glimpse into how champions from across the globe have inspired one of the world's greatest ODI players and Team India's most successful Test cricket coach.
LINEAR ALGEBRA
This clear, concise and highly readable text is designed for a first course in linear algebra and is intended for undergraduate courses in mathematics. It focusses throughout on geometric explanations to make the student perceive that linear algebra is nothing but analytic geometry of n dimensions. From the very start, linear algebra is presented as an extension of the theory of simultaneous linear equations and their geometric interpretation is shown to be a recurring theme of the subject. The integration of abstract algebraic concepts with the underlying geometric notions is one of the most distinguishing features of this book — designed to help students in the pursuit of multivariable calculus and differential geometry in subsequent courses.Explanations and concepts are logically presented in a conversational tone and well-constructed writing style so that students at a variety of levels can understand the material and acquire a solid foundation in the basic skills of linear algebra.
Algebraic Topology
Great first book on algebraic topology. Introduces (co)homology through singular theory.
