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An Introductory Course on Differentiable Manifolds - (Aurora: Dover Modern Math Originals) by Siavash Shahshahani (Paperback)

An Introductory Course on Differentiable Manifolds - (Aurora: Dover Modern Math Originals) by Siavash Shahshahani (Paperback)

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    An Introductory Course on Differentiable Manifolds - (Aurora: Dover Modern Math Originals) by Siavash Shahshahani (Paperback)

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    This comprehensive and detailed textbook on "Differentiable Manifolds" is a must-have for advanced undergraduates and graduate students in mathematics.

    With over 200 exercises, it provides ample opportunities for students to gauge their skills and gain additional insights.

    The book covers the four main parts of the course, starting with tensor algebra and linear spaces, followed by integrating vector fields, Lie bracket, exterior derivative, and Lie derivative.

    The final chapter introduces connections on the tangent bundle as a tool to implant the second derivative and the derivative of vector fields on the base manifold.

    Historical and philosophical asides enhance the mathematical text, making it an engaging and informative read.

    Whether you're a student looking to deepen your understanding of differential geometry or a math enthusiast eager to explore new concepts, this book is sure to provide a comprehensive and enjoyable learning experience.

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