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The Early Period of the Calculus of Variations
This monograph explores the early development of the calculus of variations in continental Europe during the Eighteenth Century by illustrating the mathematics of its founders. Closely following the original papers and correspondences of Euler, Lagrange, the Bernoullis, and others, the reader is immersed in the challenge of theory building. We see what the founders were doing, the difficulties …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-38945-5
- Collation
- XII, 293, 59 b/w illustrations
- Series Title
- -
- Call Number
- -
A First Course in Continuum Mechanics
A concise account of various classic theories of fluids and solids, this book is for courses in continuum mechanics for graduate students and advanced undergraduates. Thoroughly class-tested in courses at Stanford University and the University of Warwick, it is suitable for both applied mathematicians and engineers. The only prerequisites are an introductory undergraduate knowledge of basic lin…
- Edition
- -
- ISBN/ISSN
- 9780511619571
- Collation
- -
- Series Title
- Cambridge Texts in Applied Mathematics (42)
- Call Number
- -
A First Course in Computational Fluid Dynamics
Fluid mechanics is a branch of classical physics that has a rich tradition in applied mathematics and numerical methods. It is at work virtually everywhere, from nature to technology. This broad and fundamental coverage of computational fluid dynamics (CFD) begins with a presentation of basic numerical methods and flows into a rigorous introduction to the subject. A heavy emphasis is placed on …
- Edition
- -
- ISBN/ISSN
- 9781316823736
- Collation
- -
- Series Title
- -
- Call Number
- -
A First Course in Computational Algebraic Geometry
A First Course in Computational Algebraic Geometry is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. Originating from a course taught at the African Institute for Mathematical Sciences, the book gives a compact presentation of the basic theory, with particular emphasis on explicit computational examples using th…
- Edition
- -
- ISBN/ISSN
- 9781139565769
- Collation
- -
- Series Title
- AIMS Library of Mathematical Sciences
- Call Number
- -
A First Course in Combinatorial Optimization
A First Course in Combinatorial Optimization is a text for a one-semester introductory graduate-level course for students of operations research, mathematics, and computer science. It is a self-contained treatment of the subject, requiring only some mathematical maturity. Topics include: linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network fl…
- Edition
- -
- ISBN/ISSN
- 9780511616655
- Collation
- -
- Series Title
- Cambridge Texts in Applied Mathematics (36)
- Call Number
- -
A Course in Mathematics for Students of Physics
This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophist…
- Edition
- -
- ISBN/ISSN
- 9781139171670
- Collation
- -
- Series Title
- -
- Call Number
- -
A First Course in Algebraic Topology
This self-contained introduction to algebraic topology is suitable for a number of topology courses. It consists of about one quarter 'general topology' (without its usual pathologies) and three quarters 'algebraic topology' (centred around the fundamental group, a readily grasped topic which gives a good idea of what algebraic topology is). The book has emerged from courses given at the Univer…
- Edition
- -
- ISBN/ISSN
- 9780511569296
- Collation
- -
- Series Title
- -
- Call Number
- -
A Course in Finite Group Representation Theory
This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, p…
- Edition
- -
- ISBN/ISSN
- 9781316677216
- Collation
- -
- Series Title
- -
- Call Number
- -
A Course in Mathematical Analysis
The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. Th…
- Edition
- -
- ISBN/ISSN
- 9781139424493
- Collation
- -
- Series Title
- -
- Call Number
- -
Invariant Differential Operators Volume 2 : Quantum Groups
With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these a…
- Edition
- -
- ISBN/ISSN
- 9783110427707
- Collation
- -
- Series Title
- De Gruyter Studies in Mathematical Physics volume 39
- Call Number
- 510 DOB i
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