10 Best Books on Differentiable Manifolds

We have compiled a list of the Best Reference Books on Differentiable Manifolds, which are used by students of top universities, and colleges. This will help you choose the right book depending on if you are a beginner or an expert. Here is the complete list of Differentiable Manifolds Books with their authors, publishers, and an unbiased review of them as well as links to the Amazon website to directly purchase them. If permissible, you can also download the free PDF books on Differentiable Manifolds below.

 
1."Introductory Course on Differentiable Manifolds (Aurora: Dover Modern Math Originals)" by Siavash Shahshahani
“Introductory Course on Differentiable Manifolds (Aurora: Dover Modern Math Originals)” Book Review: This book talks about things like calculus with many variables, linear algebra, and a type of math called abstract algebra. There are over 200 practice problems to help you understand better. The book starts with the easy stuff and then talks about more complicated things like vector fields, Lie bracket, exterior derivative, Lie derivative, and vector bundles. The author also talks about Newtonian Mechanics at the end. This book is good for college students studying math.

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2."Structures on Differentiable Manifolds and Its Submanifolds" by Kishor Shyam
“Structures on Differentiable Manifolds and Its Submanifolds” Book Review: This book covers wide topics on differential geometry. Topics like theory of structures on manifolds, differential geometric aspects of submanifolds and many more are clearly described. This book has a lucid presentation. Structures on Differentiable Manifolds and its Submanifolds are explained in a clear-cut way. This book follows global treatment of coordinate free methods to derive the results. This book is suitable for PG students and researchers.

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3."Certain differentiable structures on manifolds" by Jayprakash Singh
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4."Real Analysis and Differentiable Manifolds" by Namdeo Khobragade and Himanshu Roy
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5."Differentiable Manifolds (Modern Birkhäuser Classics)" by Lawrence Conlon
“Differentiable Manifolds (Modern Birkhäuser Classics)” Book Review: This book talks about basic things like differentiable manifolds, global calculus, and differential geometry. It also talks about harder things like calculus with many variables, linearization, and integration. There are exercises to help you learn better. The book talks about some really hard math, but also explains which things are more important. Anyone can read this book and understand what differentiable manifolds are. The book looks nice and is good for students in college or people doing research. The author also talks about covering spaces and the fundamental group.

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6."Foundations of Differentiable Manifolds and Lie Groups (Graduate Texts in Mathematics)" by Frank W Warner
“Foundations of Differentiable Manifolds and Lie Groups (Graduate Texts in Mathematics)” Book Review: This book teaches about differentiable manifolds and lie groups from the beginning. There are pictures to help you understand, and examples with clear explanations. The book talks about differentiable manifolds, tensors, differentiable forms, and Lie groups. There are about 60 pictures in the book. There are exercises to help you learn more. The book shows how to prove the theorems at the right time. This book is good for college students studying math.

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7."Introduction to Differentiable Manifolds (Dover Books on Mathematics)" by Louis Auslander and Robert E MacKenzie
“Introduction to Differentiable Manifolds (Dover Books on Mathematics)” Book Review: The author suggests to have a solid understanding of topics like linear transformations and calculus before reading this book. This book covers topics like modern approach to differential geometry, roles of differential structures, abstract manifolds and many more. This book acts as a good source for examples and exercises to understand concepts deeper. This book also covers the old differential geometry concepts to remind us of history. Advanced topics like fiber bundles and multilinear algebra are also described. This book is a good reference for graduate students.

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8."Differentiable Manifolds" by Yozo Matsushima
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9."Differentiable Manifolds: A Theoretical Physics Approach" by Gerardo F Torres del Castillo
“Differentiable Manifolds: “Differentiable Manifolds: A Theoretical Physics Approach” Book Review: This book talks about vector fields, tensor fields, Lie derivatives, and exterior derivatives. The author gives lots of examples to help you understand. Before you read the book, you should already know a little about linear algebra and differential equations. There are many exercises to help you learn more. The book also talks about advanced ideas like Riemannian manifolds and Hamiltonian mechanics, and shows how these are used in physics. This book is good for college students studying math or physics, and you can use it as a reference later.

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10."Introduction to Differentiable Manifolds (Universitext)" by Serge Lang
“Introduction to Differentiable Manifolds (Universitext)” Book Review: This book is a great introduction to differential topology, geometry, and equations, starting with basic concepts. The author also includes more advanced topics at the end of the book, such as the computation of the top cohomology group of a manifold, a generalized divergence theorem of Gauss, and an elementary residue theorem. The author also provides a summary of the more general and abstract approach to the topic. In the bibliography section, the author lists new topics in differential geometry. A large index is included to help readers find information. This book is suitable for both undergraduate and graduate students.

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We have put a lot of effort into researching the best books on Differentiable Manifolds and came out with a recommended list and their reviews. If any more book needs to be added to this list, please email us. We are working on free pdf downloads for books on Differentiable Manifolds and will publish the download link here. Fill out this Differentiable Manifolds books pdf download" request form for download notification.

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