Subjects:  1. Algebra - Abstract    2. Combinatorial group theory    3. General    4. Group Theory    5. Lie algebras    6. Mathematics    7. Polynomials    8. Science/Mathematics    9. Mathematics / Geometry / Algebraic    10. Mathematics and Science   

Subjects:  1. Algebra    2. Algebra - Abstract    3. Automatic theorem proving    4. Congresses    5. Data processing    6. Discrete Mathematics    7. General    8. Mathematics    9. Science/Mathematics    10. Artificial intelligence    11. Mathematical theory of computation   

Reviews (1)

Good tool for learning group theory
To learn group theory, it is necessary to work your way through several examples. This not only teaches you the basic structure of groups, but also shows you how many forms groups can take. However, that can lead to a great deal of tedium, as writing out the examples of even small finite groups takes a great deal of time. Therein lies the value in the software that accompanies this book.Read more

Subjects:  1. Algebra - Abstract    2. Children: Young Adult (Gr. 10-12)    3. Computer-assisted instruction    4. Exploring small groups    5. Geissinger, Ladnor D    6. Geissinger, Ladnor D.    7. Group Theory    8. Mathematics    9. Science/Mathematics   

Subjects:  1. Abstraction    2. Algebra - Abstract    3. Logic    4. Mathematics    5. Philosophy    6. Philosophy / Logic    7. Philosophy of mathematics    8. Philosophy | Logic & Mathematics    9. Western philosophy, c 1600 to c 1800   

Reviews (1)

Computational Models of Physical Processes
This is an outstanding book for anyone concerned with computational models of real physical processes (digital mechanics or digital physics).It is accessible to anyone with a bachelor's degree in computer science,mathematics, engineering, or physics.It is also accessible to others witha few years of math courses.Lattice gasses and lattice boltzmann machinesare the natural extensions of cellular automata such as the game of life. ... Read more

Subjects:  1. Algebra - Abstract    2. Artificial Intelligence - General    3. Cellular automata    4. General    5. Lattice Theory    6. Lattice gas    7. Logic    8. Machine Learning    9. Mathematical Analysis    10. Mathematical models    11. Mathematics    12. Maxwell-Boltzmann distribution    13. Maxwell-Boltzmann distribution law    14. Mechanics - General    15. Science/Mathematics    16. Boltzman equations    17. Differential equations    18. Mathematical logic    19. Mathematics / Mathematical Analysis    20. Point-Mapping properties    21. Rarefield gas flows    22. Stokes and Naier-Stokes equations    23. gas flows    24. numerical analysis   

Subjects:  1. Algebra - Abstract    2. Combinatorics & graph theory    3. Linear algebra    4. Particle & high-energy physics    5. Mathematics    6. Algebra - General    7. Set Theory    8. Science/Mathematics   

Reviews (1)

Outstanding book on an extraordinarly rich and useful topic
This is an outstanding book on a field of mathematics which, although very accessible and widely applicable, is not considered as fundamental as I believe it should be.The author writes clearly, providing concise proofs with sound logic, good motivation for the material, discussion of historical development of the subject, and directions for future research.Diagrams are used very well in this text.The exercises are numerous and very illuminating, and very fun!The author provides an extensive bibliography and references results throughout the text.
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Subjects:  1. Algebra - Abstract    2. Geometry - General    3. Lattice Theory    4. Logic    5. Mathematics    6. Science/Mathematics   

Subjects:  1. Algebra - Abstract    2. Algebra - General    3. Computer Science    4. Differential Equations    5. Logic    6. Mathematics    7. Science/Mathematics    8. Clone Theory    9. Completeness Criterion    10. Function Algebra    11. Mathematics / Logic    12. Relation Algebra    13. Universal Algebra   

Subjects:  1. Algebra    2. Algebra - Abstract    3. Application Software    4. Calculus    5. Computer Books: Operating Systems    6. Data processing    7. Maple (Computer file)    8. Mathematics    9. Computer Software Packages   

Subjects:  1. Algebra - Abstract    2. Algebraic Fields    3. Arithmetic    4. Duality theory (Mathematics)    5. Homology theory    6. Mathematics    7. Science/Mathematics   

Subjects:  1. Algebra - Abstract    2. Mathematical Physics    3. Science    4. Science/Mathematics    5. Mathematics for scientists & engineers    6. Theoretical methods   

Subjects:  1. Algebra - Abstract    2. Mathematics   

Reviews (1)

Excellent book
This book is a little gem! I'm using this book for a class I'm taking on algebraic specification of data types.Read more

Subjects:  1. Abstract data types (Computer    2. Abstract data types (Computer science)    3. Algebra - Abstract    4. Computer Bks - General Information    5. Computer Programming Languages    6. Computers - General Information    7. Data Modeling & Design    8. Database Engineering    9. ML (Computer program language)    10. Mathematics    11. Programming Languages - General    12. Science/Mathematics    13. Computers / Programming Languages / General    14. Programming languages    15. Software engineering   

Subjects:  1. Algebra - Abstract    2. Algebra - General    3. Applied    4. Mathematics    5. Medical    6. Number Theory    7. Rings (Algebra)    8. Fields & rings   

Reviews (9)

Rock solid
I had the first edition of this book as a student about 30 years ago and found that although the text was for the most part readable, the notion of universal element notion from category theory was introduced in a baffling way very early on and this was the stumbling block.
Amazing Book
This is a fabulous book.I have had basically one year of effectively 'algebra for non-mathematicians' at a graduate level, and have a background in Physics and Engineering.I find this book to be the perfect next step in terms of understanding things a bit more deeply than Dummit&Foote, in particular because they bring in some wider issues and connect them to the basic material of group theory, ring theory, modules vector spaces etc.In other words it covers the same or similar material as Dummit & Foote, but adds in some wider examples (more lattice theory, operator theory) as well as a higher level of sophistication because it brings in a category theory perspective for example.It seems that this book is really oriented toward seeing the big mathematical picture implicit in lots of physics.So in that sense, for me, it's a fantastic mathematical physics book, without explicitly being so.

Graduate-Level Algebra emphasizing categorical ideas and applications outside algebra
Garrett Birkhoff and S. MacLane's _A Survey of Modern Algebra_ introduced U.S. undergraduates to the (axiomatic) algebra of Emmy Noether and Emil Artin, with elementary topics useful in applications in science and engineering. Birkhoff-MacLane has a place for algebraic number theory, but puts it in its place---Chapter 14! Birkhoff-MacLane features Birkhoff's interests in congruence relations (c.f., universal algebra), partially ordered sets (c.f., lattice theory), and linear algebra and geometry.
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Subjects:  1. Algebra - Abstract    2. Mathematics   

Reviews (1)

Abstract indeed.
As part of a basic math course, this book was presented. At first glance, it seemed like a tough one. And indeed it is. Especially the "group" part's in this book is very hard-comprehensible, but hey, maybe that's just me.Read more

Subjects:  1. Algebra    2. Algebra - Abstract    3. Algebra - General    4. Algebra, Abstract    5. Mathematics    6. Science/Mathematics    7. Mathematical theory of computation   

Reviews (2)

Concise and enjoyable summary of Gaia theory
Richard Hofstetter is one of those rare delights, a non-scientist who can write clearly and entertainingly about technical matters. His summary of current Gaia theory is informed by a lively wit and strong opinions thatmake this short book a valuable read.

Great read, profound, timely
This trim volume presents what is ultimately a personal quest for meaning(in other words, for God) in the author's skillful weaving together ofblockbuster messages from science.The messages are about evolution,biodiversity, the planetary unity of life, and the predicaments andpotentials of humanity.Mr. Hofstetter accomplishes an exemplar of the"way of science."(See Connie Barlow's book "Green Space,Green Time: The Way of Science.")The way of science--building apersonal cosmology from science--is obviously practiced by many scientists. But for the massive social evolution that must occur to reach asustainable, planetary peace of body and mind, the way of science must bydiscovered, practiced, expounded by nonscientists, such as the brilliant MrHofstetter, who by day is an environmental lawyer.The book readssmoothly, with dashing touches of humor.Its message is pointed andprofound, and right for our times.-Tyler Volk, author of "Gaia'sBody: Toward a Physiology of Earth," and "Metapatterns AcrossSpace, Time, and Mind." ... Read more

Subjects:  1. Algebra - Abstract    2. Mathematics    3. Science/Mathematics    4. Biography: general    5. The Environment    6. Ecology    7. Anthropology    8. Science    9. Earth Science    10. Philosophy    11. Religion   

Subjects:  1. Advanced    2. Algebra - Abstract    3. Algebraic Geometry    4. Algebraic Number Theory    5. L-functions    6. Mathematics    7. Monodromy groups    8. Number Theory    9. Science/Mathematics   

Subjects:  1. Algebra    2. Algebra - Abstract    3. Algebra - Elementary    4. Algebra - General    5. Algebra - Intermediate    6. Mathematics    7. Science/Mathematics   

Subjects:  1. Algebra - Abstract    2. Functional Analysis    3. General    4. Mathematical Analysis    5. Mathematics    6. Nonstandard mathematical analy    7. Nonstandard mathematical analysis    8. Science/Mathematics    9. Vector Analysis    10. Vector lattices, Archimedian    11. Mathematics / Mathematical Analysis