Lawrence Conlon auth. The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry. Differentiable Manifolds is a text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good foundation in general topology, calculus, and modern algebra. This second edition contains a significant amount of new material, which, in addition to classroom use, will make it a useful reference text.

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The final prices may differ from the prices shown due to specifics of VAT rules About this Textbook The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry.

Differentiable Manifolds is a text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good foundation in general topology, calculus, and modern algebra. This second edition contains a significant amount of new material, which, in addition to classroom use, will make it a useful reference text. Topics that can be omitted safely in a first course are clearly marked, making this edition easier to use for such a course, as well as for private study by non-specialists wishing to survey the field.

The themes of linearization, re integration, and global versus local calculus are emphasized throughout. Additional features include a treatment of the elements of multivariable calculus, formulated to adapt readily to the global context, an exploration of bundle theory, and a further optional development of Lie theory than is customary in textbooks at this level. Students, teachers and professionals in mathematics and mathematical physics should find this a most stimulating and useful text.

The subject matter is differential topology and geometry, that is, the study of curves, surfaces and manifolds where the assumption of differentiability adds the tools of differentiable and integral calculus to those of topology.

Within this area, the book is unusually comprehensive…. The style is clear and precise, and this makes the book a good reference text. There are many good exercises. The presentation is smooth, the choice of topics optimal, and the book can be profitably used for self teaching. This book is very suitable for students wishing to learn the subject, and interested teachers can find well-chosen and nicely presented materials for their courses.

Overall, this edition contains more examples, exercises, and figures throughout the chapters. The book is well written, presupposing only a good foundation in general topology, calculus and modern algebra. Mathematicians already familiar with the earlier edition have spoken very favourably about the contents and the lucidity of the exposition. In summary, this is an excellent and important book, carefully written and well produced.

It will be a valuable aid to graduate and PhD students, lecturers, and—as a reference work—to research mathematicians. It may serve as a basis for a two-semester graduate course for students of mathematics and as a reference book for graduate students of theoretical physics.

The choice of topics certainly gives the reader a good basis for further self study. The book contains many interesting examples and exercises.

The presentation is systematic and smooth and it is well balanced with respect to local versus global and between the coordinate free formulation and the corresponding expressions in local coordinates.

The presentation is smooth, the choice of topics is optimal and the book can be profitably used for self teaching. Recommended for advanced graduate students and above.

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## Differentiable Manifolds

The final prices may differ from the prices shown due to specifics of VAT rules About this Textbook The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry. Differentiable Manifolds is a text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good foundation in general topology, calculus, and modern algebra. This second edition contains a significant amount of new material, which, in addition to classroom use, will make it a useful reference text. Topics that can be omitted safely in a first course are clearly marked, making this edition easier to use for such a course, as well as for private study by non-specialists wishing to survey the field. The themes of linearization, re integration, and global versus local calculus are emphasized throughout. Additional features include a treatment of the elements of multivariable calculus, formulated to adapt readily to the global context, an exploration of bundle theory, and a further optional development of Lie theory than is customary in textbooks at this level.

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## LAWRENCE CONLON DIFFERENTIABLE MANIFOLDS PDF

The book is useful for undergraduate and graduate students as well as for several researchers. Differentiable Manifolds The themes of linearization, re integration, and global versus local calculus are emphasized throughout. This second edition contains a significant amount of new material, which, in addition to classroom use, will make it a useful reference text. Multilinear Algebra and Tensors. Table of contents Preface to the Second Edition. It will be a valuable aid to graduate and PhD students, lecturers, and-as a reference work-to research mathematicians. IM PN PDF Within this area, the book is unusually comprehensive Topics that can be omitted manifoldx in a first course are clearly marked, making this edition easier to use for such a course, as well as for private study by non-specialists wishing to survey the field.