Mathematics
Discover top mathematics books, including the best textbooks, workbooks, and advanced engineering mathematics guides. Find essential mathematics dictionaries and the best books to learn math.
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A Course on Group TheoryThis textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters summarize presupposed facts, identify important themes, and establish the notation used throughout the book. Subsequent chapters explore the normal and arithmetical structures...
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An Elementary Introduction to the Theory of ProbabilityThis compact volume equips the reader with all the facts and principles essential to a fundamental understanding of the theory of probability. It is an introduction, no more: throughout the book the authors discuss the theory of probability for situations having only a finite...
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An Introduction to Mathematical LogicWidely praised for its clarity and thorough coverage, this comprehensive overview of mathematical logic is suitable for readers of many different backgrounds. Designed primarily for advanced undergraduates and graduate students of mathematics, the treatment also contains much of interest to advanced students in computer...
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Linear Programming: An Introduction to Finite Improvement AlgorithmsSuitable for undergraduate students of mathematics and graduate students of operations research and engineering, this text covers the basic theory and computation for a first course in linear programming. In addition to substantial material on mathematical proof techniques and sophisticated computation methods, the treatment...
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The Gödelian Puzzle Book: Puzzles, Paradoxes and ProofsThese brand-new recreational logic puzzles provide entertaining variations on G del's incompleteness theorems, offering ingenious challenges related to infinity, truth and provability, undecidability, and other concepts. Created by the celebrated logician Raymond Smullyan, the puzzles require no background in formal logic and will delight...
- $41.29 AUD
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An Introduction to the Theory of GroupsThis introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates, developing material of fundamental importance in a clear and rigorous fashion. The treatment is also useful as a review for more advanced students with some background in group...
- $28.34 AUD
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Undecidable Theories: Studies in Logic and the Foundation of MathematicsThis graduate-level book is well known for its proof that many mathematical systems--including lattice theory, abstract projective geometry, and closure algebras--are undecidable. Based on research conducted from 1938 to 1952, it consists of three treatises by a prolific author who ranks among the greatest...
- $38.69 AUD
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Problems and Solutions in Euclidean GeometryIntended for a second course in Euclidean geometry, this volume is based on classical principles and can be used by students of mathematics as a supplementary text and by mechanical engineers as an aid to developing greater mathematical facility. It features 200 problems of...
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Matroid TheoryThe theory of matroids connects disparate branches of combinatorial theory and algebra such as graph and lattice theory, combinatorial optimization, and linear algebra. Aimed at advanced undergraduate and graduate students, this text is one of the earliest substantial works on matroid theory. Its author,...
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Geometry from Euclid to KnotsDesigned to inform readers about the formal development of Euclidean geometry and to prepare prospective high school mathematics instructors to teach Euclidean geometry, this text closely follows Euclid's classic, Elements. The text augments Euclid's statements with appropriate historical commentary and many exercises -- more...
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Partial Differential EquationsThis three-part treatment of partial differential equations focuses on elliptic and evolution equations. Largely self-contained, it concludes with a series of independent topics directly related to the methods and results of the preceding sections that helps introduce readers to advanced topics for further study....
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Special Matrices and Their Applications in Numerical MathematicsThis revised and corrected second edition of a classic book on special matrices provides researchers in numerical linear algebra and students of general computational mathematics with an essential reference.Author Miroslav Fiedler, a Professor at the Institute of Computer Science of the Academy of Sciences...
- $51.63 AUD
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Markov Processes and Potential TheoryThis advanced text explores the relationship between Markov processes and potential theory, in addition to aspects of the theory of additive functionals. Geared toward graduate students, Markov Processes and Potential Theory assumes a familiarity with general measure theory, while offering a nearly self-contained treatment.Topics...
- $49.06 AUD
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Plasticity TheoryThe aim of Plasticity Theory is to provide a comprehensive introduction to the contemporary state of knowledge in basic plasticity theory and to its applications. It treats several areas not commonly found between the covers of a single book: the physics of plasticity, constitutive...
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Mathematician's DelightRecommended with confidence by The Times Literary Supplement, this lively survey starts with simple arithmetic and algebra and proceeds by gradual steps through graphs, logarithms, and trigonometry to calculus and the world of numbers. Generations of readers have found it the ideal introduction to...
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Basic Linear Partial Differential EquationsFocusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students employs nontraditional methods to explain classical material. Topics include the Cauchy problem, boundary value problems, and mixed problems and evolution equations. Nearly 400 exercises enable students to...
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Foundations of Measurement Volume III: Representation, Axiomatization, and Invariancevolume 3All of the sciences -- physical, biological, and social -- have a need for quantitative measurement. This influential series, Foundations of Measurement, established the formal basis for measurement, justifying the assignment of numbers to objects in terms of their structural correspondence.Volume I introduces the...
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Mathematical Logic: A First CourseSuitable for advanced undergraduates and graduate students, this self-contained text will appeal to readers from diverse fields and varying backgrounds -- including mathematics, philosophy, linguistics, computer science, and engineering. It features numerous exercises of varying levels of difficulty, many with solutions.A survey of the...
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Lie Groups, Lie Algebras, and Some of Their ApplicationsLie group theory plays an increasingly important role in modern physical theories. Many of its calculations remain fundamentally unchanged from one field of physics to another, altering only in terms of symbols and the language. Using the theory of Lie groups as a unifying...
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Coordinate GeometryA thorough, complete, and unified introduction, this volume affords exceptional insights into coordinate geometry. It makes extensive use of determinants, but no previous knowledge is assumed; they are introduced from the beginning as a natural tool for coordinate geometry. Invariants of conic sections and...
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