Title
An Introduction To Differentiable Manifolds And Riemannian Geometry (Pure And Applied Mathematics, Volume 120),Used
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This Book Was Planned And Written As A Text For A Twosemester Course Designed, It Is Hoped, To Overcome, Or At Least To Minimize, Some Of These Difficulties. It Has, In Fact, Been Used Successfully Several Times In Preliminary Form As Class Notes For A Twosemester Course Intended To Lead The Student From A Reasonable Mastery Of Advanced (Multivariable) Calculus And A Rudimentary Knowledge Of Differentiable Manifolds, Including Some Facility In Working With The Basic Tools Of Manifold Theory: Tensors, Differential Forms, Lie And Covariant Derivatives, Multiple Integrals, And So On. Although In Overall Content This Book Necessarily Overlaps The Several Available Excellent Books On Manifold Theory, There Are Differences In Presentation And Emphasis Which, It Is Hoped, Will Make It Particularly Suitable As An Introductory Text.
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- Q: How many pages does this book have? A: This book has four hundred twenty-four pages. It provides a comprehensive introduction to differentiable manifolds and Riemannian geometry.
- Q: What is the binding type of this book? A: This book is a paperback edition. The paperback binding makes it lightweight and flexible for easy handling.
- Q: Who is the author of this book? A: The author of this book is William M. Boothby. He is known for his contributions to the field of mathematics.
- Q: What level of mathematics does this book cover? A: This book is suitable for advanced undergraduate or graduate students. It is designed to lead students from advanced calculus to manifold theory.
- Q: Is this book suitable for beginners? A: No, this book is not primarily for beginners. It assumes a reasonable mastery of advanced multivariable calculus.
- Q: How is this book structured for teaching? A: The book is structured for a two-semester course. It is intended to minimize difficulties in understanding complex topics.
- Q: What are the main topics covered in this book? A: The main topics include tensors, differential forms, and covariant derivatives. These are essential tools in manifold theory.
- Q: Is this book used as a textbook? A: Yes, this book has been used successfully as class notes for courses. It is intended for structured learning in mathematics.
- Q: What should I know before reading this book? A: You should have a rudimentary knowledge of differentiable manifolds. Familiarity with advanced calculus is also necessary.
- Q: How do I care for this book? A: Store it in a cool, dry place to avoid damage. Keep it away from direct sunlight to preserve its condition.
- Q: Can this book be used for self-study? A: Yes, this book can be used for self-study. However, prior knowledge of the relevant mathematical concepts is crucial.
- Q: Are there any recommended supplementary materials? A: Yes, it may be beneficial to refer to other texts on manifold theory for a broader understanding. Consider accompanying resources for additional practice.
- Q: What is the target audience for this book? A: The target audience includes advanced undergraduate and graduate mathematics students. It's ideal for those pursuing studies in geometry and topology.
- Q: What makes this book different from other texts on manifold theory? A: This book emphasizes clarity in presentation and a unique approach. It aims to address common challenges faced by students.
- Q: Is this book still relevant for current studies? A: Yes, the concepts and theories presented remain relevant in modern mathematics. The foundational topics are essential for advanced studies.