Best Group Theory Books
Here you will get Best Group Theory Books For you.This is an up-to-date list of recommended books.
1. Math Practice Workbook Grades 4-5: 1000+ Questions You Need to Kill in Elementary School by Brain Hunter Prep (Arithmetic, Algebra, Geometry, … more in Kill It Series by Brain Hunter Prep)
Author: by Brain Hunter Prep
Published at: Brain Hunter Prep (February 27, 2020)
ISBN: 978-1951048235
Prepare your child for elementary school math with our award-winning Math Practice Workbook for Grades 4 to 5. Used by teachers, parents and students nationwide this workbook provides elementary school children with comprehensive practice questions that cover a wide range of topics they will encounter in elementary school.
Created by certified elementary school teachers, this workbook is the perfect supplementary workbook for any student in 4th grade or 5th grade. This workbook is also aligned to all Common Core State Standards. Topics Covered:ArithmeticNumbers and Place Value Convert between standard and expanded formMultiplicationDivisionPrime and Composite NumbersFactors: Multiples and Greatest CommonRoundingFractionsDecimalsMeasurement and DataCustomary and Metric Units VolumeMeasurements AlgebraWord ProblemsEvaluate Numerical ExpressionsGeometryAnglesLine SegmentsSymmetryCoordinate PlanePolygons
2. Special Relativity and Classical Field Theory: The Theoretical Minimum
Author: by Leonard Susskind
Published at: Basic Books; Reprint edition (May 7, 2019)
ISBN: 978-1541674066
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.
3. Lost in Math: How Beauty Leads Physics Astray
Author: by Sabine Hossenfelder
Published at: Basic Books; Illustrated edition (June 2, 2020)
ISBN: 978-1541646766
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.
4. Physics from Symmetry (Undergraduate Lecture Notes in Physics)
Author: by Jakob Schwichtenberg
Published at: Springer; 2nd ed. 2018 edition (December 18, 2017)
ISBN: 978-3319666303
This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived.
As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.
5. Algebra (Graduate Texts in Mathematics (211))
Author: by Serge Lang
Published at: Springer; 3rd edition (January 8, 2002)
ISBN: 978-0387953854
This book is intended as a basic text for a one year course in algebra at the graduate level or as a useful reference for mathematicians and professionals who use higher-level algebra. This book successfully addresses all of the basic concepts of algebra.
For the new edition, the author has added exercises and made numerous corrections to the text. From MathSciNet’s review of the first edition: “The author has an impressive knack for presenting the important and interesting ideas of algebra in just the “right” way, and he never gets bogged down in the dry formalism which pervades some parts of algebra.”
6. Group Theory in a Nutshell for Physicists (In a Nutshell, 17)
Author: by A. Zee
Published at: Princeton University Press; Illustrated edition (March 29, 2016)
ISBN: 978-0691162690
A concise, modern textbook on group theory written especially for physicistsAlthough group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is essential for an understanding of the fundamental forces.
Yet until now, what has been missing is a modern, accessible, and self-contained textbook on the subject written especially for physicists. Group Theory in a Nutshell for Physicists fills this gap, providing a user-friendly and classroom-tested text that focuses on those aspects of group theory physicists most need to know.
From the basic intuitive notion of a group, A. Zee takes readers all the way up to how theories based on gauge groups could unify three of the four fundamental forces. He also includes a concise review of the linear algebra needed for group theory, making the book ideal for self-study.
Provides physicists with a modern and accessible introduction to group theoryCovers applications to various areas of physics, including field theory, particle physics, relativity, and much moreTopics include finite group and character tables; real, pseudoreal, and complex representations; Weyl, Dirac, and Majorana equations; the expanding universe and group theory; grand unification; and much moreThe essential textbook for students and an invaluable resource for researchersFeatures a brief, self-contained treatment of linear algebraAn online illustration package is available to professorsSolutions manual (available only to professors)
7. How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics
Author: by Eugenia Cheng
Published at: Basic Books; Illustrated edition (May 10, 2016)
ISBN: 978-0465097678
What is math?How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered, unexpectedly, by insights from the kitchen: we learn, for example, how the bamel in a lasagna can be a lot like the number 5, and why making a good custard proves that math is easy but life is hard.
Of course, it’s not all about cooking; we’ll also run the New York and Chicago marathons, take a closer look at St. Paul’s Cathedral, pay visits to Cinderella and Lewis Carroll, and even get to the bottom of why we think of a tomato as a vegetable.
At the heart of it all is Cheng’s work on category theory, a cutting-edge “mathematics of mathematics,” that is about figuring out how math works. This is not the math of our high school classes: seen through category theory, mathematics becomes less about numbers and formulas and more about how we know, believe, and understand anything, including whether our brother took too much cake.
8. The Complete Idiot's Guide to Game Theory: The Fascinating Math Behind Decision-Making (Complete Idiot's Guides (Lifestyle Paperback))
Author: by Edward C. Rosenthal Ph.D.
Published at: Alpha; Illustrated edition (March 1, 2011)
ISBN: 978-1615640553
Gain some insight into the game of life… Game Theory means rigorous strategic thinking. It is based on the idea that everyone acts competitively and in his own best interest. With the help of mathematical models, it is possible to anticipate the actions of others in nearly all life’s enterprises.
This book includes down-to-earth examples and solutions, as well as charts and illustrations designed to help teach the concept. In The Complete Idiot’s Guide to Game Theory, Dr. Edward C. Rosenthal makes it easy to understand game theory with insights into: The history of the discipline made popular by John Nash, the mathematician dramatized in the film A Beautiful Mind The role of social behavior and psychology in this amazing discipline How important game theory has become in our society and why
9. Preschool Math Workbook For Toddlers (Educational Resources For Quality Learning)
Author: by Caterpillar Curl
Published at: Independently published (February 8, 2020)
ISBN: 979-8610979212
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!
10. Lie Groups, Lie Algebras, and Representations: An Elementary Introduction (Graduate Texts in Mathematics, 222)
Author: by Brian Hall
Published at: Springer; 2nd ed. 2015, Corr. 2nd printing 2016 edition (May 22, 2015)
ISBN: 978-3319134666
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject.
In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including:a treatment of the BakerCampbellHausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebrasmotivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C)an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebrasa self-contained construction of the representations of compact groups, independent of Lie-algebraic argumentsThe second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the PoincarBirkhoffWitt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula.
11. Quantum Theory for Mathematicians (Graduate Texts in Mathematics, 267)
Author: by Brian C. Hall
Published at: Springer; 2013th edition (June 19, 2013)
ISBN: 978-1461471158
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book’s conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrdinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stonevon Neumann Theorem; the WentzelKramersBrillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics.
The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces.
12. Social and Economic Networks
Author: by Matthew O. Jackson
Published at: Princeton University Press; Illustrated edition (November 21, 2010)
ISBN: 978-0691148205
Networks of relationships help determine the careers that people choose, the jobs they obtain, the products they buy, and how they vote. The many aspects of our lives that are governed by social networks make it critical to understand how they impact behavior, which network structures are likely to emerge in a society, and why we organize ourselves as we do.
In Social and Economic Networks, Matthew Jackson offers a comprehensive introduction to social and economic networks, drawing on the latest findings in economics, sociology, computer science, physics, and mathematics. He provides empirical background on networks and the regularities that they exhibit, and discusses random graph-based models and strategic models of network formation.
He helps readers to understand behavior in networked societies, with a detailed analysis of learning and diffusion in networks, decision making by individuals who are influenced by their social neighbors, game theory and markets on networks, and a host of related subjects.
13. 7th Grade Math Workbook: Common Core Math Workbook
Author: by Ace Academic Publishing
Published at: Ace Academic Publishing (January 23, 2020)
ISBN: 978-1949383317
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.
14. Theory and Practice of Group Counseling
Author: by Gerald Corey
Published at: Brooks Cole; 8th edition (January 1, 2011)
ISBN: 978-0840033864
With the guidance of world-renowned counseling author, teacher, and practitioner Gerald Corey, best-selling Theory AND PRACTICE OF GROUP COUNSELING, 8e equips readers with the knowledge and skills for effective group counseling and leadership. You’ll learn key theoretical approaches to group leadership and how to successfully apply each in practice.
With Corey’s clear, straightforward writing style, you will have no difficulty understanding each theoretical concept and its relationship to group practice. And as you explore different approaches, your growing knowledge will enable you to integrate techniques from the various approaches you’ll study in this book to create a unique approach that works successfully for YOU.
15. 6th Grade Math Workbook: Common Core Math Workbook
Author: by Ace Academic Publishing
Published at: Ace Academic Publishing (January 23, 2020)
ISBN: 978-1949383300
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.
