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Differential Geometry

Author: Clifford Taubes

Publisher: Oxford University Press

Published: 2011-10-13

Total Pages: 313

ISBN-13: 0199605882

Bundles, connections, metrics and curvature are the lingua franca of modern differential geometry and theoretical physics. Supplying graduate students in mathematics or theoretical physics with the fundamentals of these objects, this book would suit a one-semester course on the subject of bundles and the associated geometry.

Introduction to Geometry

Author: Richard Rusczyk

Publisher: Aops Incorporated

Published: 2007-07-01

Total Pages: 557

ISBN-13: 9781934124086

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Comparison Geometry

Author: Karsten Grove

Publisher: Cambridge University Press

Published: 1997-05-13

Total Pages: 280

ISBN-13: 9780521592222

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This is an up to date work on a branch of Riemannian geometry called Comparison Geometry.

Differential Geometry and Continuum Mechanics

Author: Gui-Qiang G. Chen

Publisher: Springer

Published: 2015-08-11

Total Pages: 384

ISBN-13: 331918573X

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This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, the use of manifolds in the description of microstructure in continuum mechanics, experimental measurement of microstructure, defects, dislocations, surface energies, and nematic liquid crystals. Compensated compactness in partial differential equations is also treated. The volume is intended for specialists and non-specialists in pure and applied geometry, continuum mechanics, theoretical physics, materials and engineering sciences, and partial differential equations. It will also be of interest to postdoctoral scientists and advanced postgraduate research students. These proceedings include revised written versions of the majority of papers presented by leading experts at the ICMS Edinburgh Workshop on Differential Geometry and Continuum Mechanics held in June 2013. All papers have been peer reviewed.

The Ricci Flow: Techniques and Applications

Author:

Publisher: American Mathematical Soc.

Published: 2007-04-11

Total Pages: 562

ISBN-13: 0821839462

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This book gives a presentation of topics in Hamilton's Ricci flow for graduate students and mathematicians interested in working in the subject. The authors have aimed at presenting technical material in a clear and detailed manner. In this volume, geometric aspects of the theory have been emphasized. The book presents the theory of Ricci solitons, Kahler-Ricci flow, compactness theorems, Perelman's entropy monotonicity and no local collapsing, Perelman's reduced distance function and applications to ancient solutions, and a primer of 3-manifold topology. Various technical aspects of Ricci flow have been explained in a clear and detailed manner. The authors have tried to make some advanced material accessible to graduate students and nonexperts. The book gives a rigorous introduction to Perelman's work and explains technical aspects of Ricci flow useful for singularity analysis. Throughout, there are appropriate references so that the reader may further pursue the statements and proofs of the various results.

2024-25 NCERT Class-XI and XII Mathematics Co-ordinate Geometry Vol.03

Author: YCT Expert Team

Publisher: YOUTH COMPETITION TIMES

Published:

Total Pages: 498

ISBN-13:

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2024-25 NCERT Class-XI and XII Mathematics Co-ordinate Geometry Vol.03 496 995 E. This book contains 36020 previous year objective questions for IIT JEE Mains Paper-I.

Objective Mathematics Vol 1 For Engineering Entrances 2022

Author: Amit M Agarwal

Publisher: Arihant Publications India limited

Published: 2021-04-20

Total Pages: 1250

ISBN-13: 9325299127

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1. "Complete Study Pack for Engineering Entrances" series provides Objective Study Guides 2. Objective Mathematics Volume-1 is prepared in accordance with NCERT Class 11th syllabus 3. Guide is divided into 21 chapter 4. complete text materials, Practice Exercises and workbook exercises with each theory 5. Includes more than 5000 MCQs, collection of Previous Years’ Solved Papers of JEE Main and Advanced, BITSAT, Kerala CEE, KCET, AP & TS EAMCET, VIT, and MHT CET. Our Objective series for Engineering Entrances has been designed in accordance with the latest 2021-2022 NCERT syllabus; Objective Mathematics Volume – 1 is divided into 21 chapters giving Complete Text Material along with Practice Exercises and Workbook exercises. Chapter Theories are coupled with well illustrated examples helping students to learn the basics of Mathematics. Housed with more than 5000 MCQs and brilliant collection of Previous Years’ Solved Papers of JEE Main and Advanced BITSAT, Kerala CEE, KCET, AP & TS EAMCET, VIT, and MHT CET, which is the most defining part of this book. Delivering the invaluable pool of study resources for different engineering exams at one place, this is no doubt, an excellent book to maximize your chances to get qualified at engineering entrances. TOC Sets, Fundamentals of Relation and Function, Sequence and Series, Complex Numbers, Inequalities and Quadratic Equation, Permutation and Combination, Mathematical Induction, Binomial Theorem, Trigonometric Functions and Equations, Properties of Triangles, Heights and Distances, Cartesian System of Rectangular Coordinates, Straight and Pair of Straight Lines, Circle, Parabola, Ellipse, Hyperbola, Introduction to Three Dimensional (3D) Geometry, Introduction to Limits & Derivatives, Mathematical Reasoning, Statistics, Fundamental of Probability, JEE Advanced Solved Paper 2015, JEE Main & Advanced Solved Papers 2016, JEE Main & Advanced/BITSAT/Kerala CEE/ KCET/AP & TS EAMCET/VIT/MHT CET Solved Papers 2017, JEE Main & Advanced/BITSAT/Kerala CEE/ KCET/AP & TS EAMCET/VIT/MHT CET Solved Papers 2018, JEE Main & Advanced/BITSAT/Kerala CEE/ KCET/AP & TS EAMCET/VIT/MHT CET Solved Papers 2019-20.