Best Differential Geometry Books
Here you will get Best Differential Geometry Books For you.This is an up-to-date list of recommended books.
1. Geometry Part 2 (Quickstudy Reference Guides – Academic)
Author: by Inc. BarCharts
Published at: QuickStudy; Chrt edition (March 1, 2001)
Part 2 of our coverage of the fundamental structure of geometry.
2. Geometric Formulas (Quick Study: Academic)
Author: by Inc. BarCharts
Published at: QuickStudy; Lam Crds edition (January 1, 2005)
6-page laminated guide includes: general terms lines line segments rays angles transversal line angles polygons circles theorems & relationships postulates geometric formulas
3. Special Relativity and Classical Field Theory: The Theoretical Minimum
Author: by Leonard Susskind
Published at: Basic Books; Reprint edition (May 7, 2019)
The third volume in the bestselling physics series cracks open Einstein’s special relativity and field theory Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein’s special relativity and Maxwell’s classical field theory.
Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It’s a must-read for both devotees of the series and any armchair physicist who wants to improve their knowledge of physics’ deepest truths.
4. Lost in Math: How Beauty Leads Physics Astray
Author: by Sabine Hossenfelder
Published at: Basic Books; Illustrated edition (June 2, 2020)
In this “provocative” book (New York Times), a contrarian physicist argues that her field’s modern obsession with beauty has given us wonderful math but bad science. Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones.
This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria.
Worse, these “too good to not be true” theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.
5. A Visual Introduction to Differential Forms and Calculus on Manifolds
Author: by Jon Pierre Fortney
Published at: Springer; 1st ed. 2018 edition (November 15, 2018)
This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds up to the basic ideas and concepts so that definitions, when made, do not appear out of nowhere, and both the importance and role that theorems play is evident as or before they are presented.
With a clear writing style and easy-to- understand motivations for each topic, this book is primarily aimed at second- or third-year undergraduate math and physics students with a basic knowledge of vector calculus and linear algebra.
6. An Introduction to Manifolds (Universitext)
Author: by Loring W. Tu
Published at: Springer; 2nd ed. 2011 edition (October 6, 2010)
Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics.
By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology.
The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study.
7. 8th grade Math Workbook: CommonCore Math Workbook
Author: by Ace Academic Publishing
Published at: Ace Academic Publishing; V1.0 edition (September 20, 2018)
School bulk orders can get up to 50% discount along with access to the industry’s leading UNIK LMS system, absolutely FREE! Contact us at 925-361-0573 or Practice online for free at Grade Common Core Math: Practice Workbook | Practice Questions, Answers & Explanations | Recommended by Teachers | Ace Academic Publishing Based on Common Core State Standards: Similar to a standardized exam, you can find questions of all types, including multiple-choice, fill-in-the-blank, true or false, match the correct answer and free-response questions.
High Standards of Questions: Each of these questions are divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level. Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.
Identifying trouble spots and fixing it: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice. Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of test on the same topic.
8. The Geometry of Physics: An Introduction
Author: by Theodore Frankel
Published at: Cambridge University Press; 3rd edition (November 3, 2011)
This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles, and Chern forms that are helpful for a deeper understanding of both classical and modern physics and engineering.
It is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study. A main addition introduced in this Third Edition is the inclusion of an Overview, which can be read before starting the text.
This appears at the beginning of the text, before Chapter 1. Many of the geometric concepts developed in the text are previewed here and these are illustrated by their applications to a single extended problem in engineering, namely the study of the Cauchy stresses created by a small twist of an elastic cylindrical rod about its axis.
9. Elementary Differential Geometry, Revised 2nd Edition
Author: by Barrett O'Neill
Published at: Academic Press; 2nd edition (April 10, 2006)
Written primarily for students who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Revised 2nd Edition, provides an introduction to the geometry of curves and surfaces. The Second Edition maintained the accessibility of the first, while providing an introduction to the use of computers and expanding discussion on certain topics.
Further emphasis was placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. This revision of the Second Edition provides a thorough update of commands for the symbolic computation programs Mathematica or Maple, as well as additional computer exercises.
As with the Second Edition, this material supplements the content but no computer skill is necessary to take full advantage of this comprehensive text.
10. Isometric Notebook: Isometric Graph Paper Notebook – 120 Pages – 1/4 Inch Equilateral Triangle – 3D Design Grid Paper
Author: by Red Tiger Press
Published at: Independently published (November 5, 2020)
Isometric Notebook This 8. 5 x 11 isometric graph paper notebook contains 120 pages. Perfect for 3D design projects, engineers, architects, artists, landscaping and students.Size: 8.5 x 11 in. 120 PagesPremium matte finish soft coverPrinted on white paper
11. The Wheel Of Time: The Shamans Of Mexico Their Thoughts About Life Death And The Universe
Author: by Carlos Castaneda
Published at: Washington Square Press; Later Printing (8th) edition (January 1, 2001)
World-renowned bestselling author Carlos Castaneda’s Selection of his wrtings on the shamans of ancient Mexico. Originally drawn to Yaqui Indian spiritual leader don Juan Matus for his knowledge of mind-altering plants, bestselling author Carlos Castaneda soon immersed himself in the sorcerer’s magical world entirely.
Ten years after his first encounter with the shaman, Castaneda examines his field notes and comes to understand what don Juan knew all alongthat these plants are merely a means to understanding the alternative realities that one cannot fully embrace on one’s own.
In Journey to Ixtlan, Carlos Castaneda introduces readers to this new approach for the first time and explores, as he comes to experience it himself, his own final voyage into the teachings of don Juan, sharing with us what it is like to truly stop the world and perceive reality on his own terms.
12. Preschool Math Workbook For Toddlers (Educational Resources For Quality Learning)
Author: by Caterpillar Curl
Published at: Independently published (February 8, 2020)
This early childhood math workbook for beginners is perfect for toddlers and preschoolers! Designed for kids ages 2-4, this book begins with very simple counting pages. It follows a hierarchy progressing through 46 pages from counting, tracing, identifying, and practicing one-to-one correspondence, to multiple choice, shapes, basic adding and basic subtracting.
Number tracing with handwriting lines (top, dotted-middle, bottom) is incorporated when your child is ready! Have them color and trace for extra practice as long as they are having fun! And be sure to check out the last page for a thank you gift!
TIPSIf your child is just learning to hold a crayon, snap the crayon in half so that it is shorter. This makes it easier for them to use a tripod grasp. Encourage directionality of print by helping your child point at the objects from left-to-right as you count out loud.
Show them how to trace the numbers on the page going from top-to-bottom and left-to-right. One-to-one correspondence is the ability to count each object only once and with one touch per object. If your child has not yet mastered this skill, it is okay!
13. Benjamin Harrison: The American Presidents Series: The 23rd President, 1889-1893
Author: by Charles W. Calhoun
Published at: Times Books; Illustrated edition (June 6, 2005)
The scion of a political dynasty ushers in the era of big governmentPolitics was in Benjamin Harrison’s blood. His great-grandfather signed the Declaration and his grandfather, William Henry Harrison, was the ninth president of the United States. Harrison, a leading Indiana lawyer, became a Republican Party champion, even taking a leave from the Civil War to campaign for Lincoln.
After a scandal-free term in the Senate-no small feat in the Gilded Age-the Republicans chose Harrison as their presidential candidate in 1888. Despite losing the popular vote, he trounced the incumbent, Grover Cleveland, in the electoral college. In contrast to standard histories, which dismiss Harrison’s presidency as corrupt and inactive, Charles W.
Calhoun sweeps away the stereotypes of the age to reveal the accomplishments of our twenty-third president. With Congress under Republican control, he exemplified the activist president, working feverishly to put the Party’s planks into law and approving the first billion-dollar peacetime budget.
14. Introduction to Tensor Analysis and the Calculus of Moving Surfaces
Author: by Pavel Grinfeld
Published at: Springer; 2013th edition (September 24, 2013)
This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus.
Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak.
The tensor technique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The author’s skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises.
15. Differential Geometry: Connections, Curvature, and Characteristic Classes (Graduate Texts in Mathematics, 275)
Author: by Loring W. Tu
Published at: Springer; 1st ed. 2017 edition (June 15, 2017)
This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the ChernWeil theory of characteristic classes on a principal bundle.
Along the way we encounter some of the high points in the history of differential geometry, for example, Gauss’ Theorema Egregium and the GaussBonnet theorem. Exercises throughout the book test the reader’s understanding of the material and sometimes illustrate extensions of the theory.
Initially, the prerequisites for the reader include a passing familiarity with manifolds. After the first chapter, it becomes necessary to understand and manipulate differential forms. A knowledge of de Rham cohomology is required for the last third of the text.
Prerequisite material is contained in author’s text An Introduction to Manifolds, and can be learned in one semester. For the benefit of the reader and to establish common notations, Appendix A recalls the basics of manifold theory. Additionally, in an attempt to make the exposition more self-contained, sections on algebraic constructions such as the tensor product and the exterior power are included.