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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Modern Methods in Topological Vector SpacesDesigned for a one-year course in topological vector spaces, this text is geared toward advanced undergraduates and beginning graduate students of mathematics. The subjects involve properties employed by researchers in classical analysis, differential and integral equations, distributions, summability, and classical Banach and Frech t...
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Introduction to Abstract Harmonic AnalysisWritten by a prominent figure in the field of harmonic analysis, this classic monograph is geared toward advanced undergraduates and graduate students and focuses on methods related to Gelfand's theory of Banach algebra. 1953 edition.Author: Lynn H. LoomisPublisher: Dover PublicationsPublished: 07/19/2011Pages: 190Binding Type: PaperbackWeight:...
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Sieve MethodsDerived from the techniques of analytic number theory, sieve theory employs methods from mathematical analysis to solve number-theoretical problems. This text by a noted pair of experts is regarded as the definitive work on the subject. It formulates the general sieve problem, explores the...
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Abstract Algebra and Solution by RadicalsThis advanced undergraduate-level text was recommended for teacher education by The American Mathematical Monthly and praised as a most readable book. An ideal introduction to groups and Galois theory, it provides students with an appreciation of abstraction and arbitrary postulational systems, ideas that are...
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The Laplace TransformThe theory of integral operators constitutes a major branch of analysis, and transforms represent an important subdivision. This volume focuses on the Laplace and Stieltjes transforms. Highly theoretical in its emphasis, this classic treatment was derived from a series of lectures by a prominent...
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Dynamical SystemsCelebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains....
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Topology for AnalysisAppropriate for both students and professionals, this volume starts with the first principles of topology and advances to general analysis. Three levels of examples and problems, ordered and numbered by degree of difficulty, illustrate important concepts. A 40-page appendix, featuring tables of theorems and...
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Problems in Group TheoryThe most effective way to study any branch of mathematics is to tackle its problems. This wide-ranging anthology offers a straightforward approach, with 431 challenging problems in all phases of group theory, from elementary to the most advanced.The problems are arranged in eleven chapters:...
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The Art of MathematicsCreative mathematicians seldom write for outsiders, but when they do, they usually do it well. Jerry King is no exception. -- NatureTouch es] the mathematical grandeur that the first geometers contemplated. -- Publishers WeeklyWitty, trenchant, and provocative. -- Mathematical Association of AmericaA simple algebraic...
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Dirichlet's Principle, Conformal Mapping, and Minimal SurfacesMathematical development, the author of this text observes, comes about through specific, easily understood problems that require difficult solutions and demand the use of new methods. Richard Courant employs this instructive approach in a text that balances the individuality of mathematical objects with the...
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Fourier Series and Orthogonal PolynomialsThis text illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Begins with a definition and explanation of the elements of Fourier series, and examines Legendre polynomials and Bessel functions. Also includes Pearson frequency functions and chapters...
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Foundations of Galois TheoryWritten by a prominent mathematician, this text offers advanced undergraduate and graduate students a virtually self-contained treatment of the basics of Galois theory. The source of modern abstract algebra and one of abstract algebra's most concrete applications, Galois theory serves as an excellent introduction...
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Real-Variable Methods in Harmonic AnalysisThis text starts with Fourier series, summability, norm convergence, and conjugate function. Additional topics include Hilbert transform, Paley theory, Cauchy integrals on Lipschitz curves, and boundary value problems. 1986 edition.Author: Alberto TorchinskyPublisher: Dover PublicationsPublished: 04/09/2004Pages: 462Binding Type: PaperbackWeight: 1.07lbsSize: 8.46h x 5.46w x 0.95dISBN:...
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A Manual of Greek MathematicsThis concise but thorough history encompasses the enduring contributions of the ancient Greek mathematicians whose works form the basis of most modern mathematics. Written by a distinguished scholar and mathematician, the well-written, nontechnical text is geared toward high school, college, and graduate students, teachers,...
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Infinitesimal CalculusRigorous undergraduate treatment introduces calculus at the basic level, using infinitesimals and concentrating on theory rather than applications. Requires only a solid foundation in high school mathematics. Contents: 1. Introduction. 2. Language and Structure. 3. The Hyperreal Numbers. 4. The Hyperreal Line. 5. Continuous...
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Combinatorial Optimization: Networks and MatroidsPerceptively written text examines optimization problems that can be formulated in terms of networks and algebraic structures called matroids. Chapters cover shortest paths, network flows, bipartite matching, nonbipartite matching, matroids and the greedy algorithm, matroid intersections, and the matroid parity problems. A suitable text...
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A First Course in Numerical Analysis: Second EditionThis outstanding text by two well-known authors treats numerical analysis with mathematical rigor, but presents relatively few theorems and proofs. Oriented toward computer solutions of problems, it stresses errors in methods and computational efficiency, and it compares different solutions to the same problem.Following an...
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Puzzles and Paradoxes: Fascinating Excursions in Recreational MathematicsNoted mathematician T. H. O'Beirne leads readers through a delightful maze of problems and solutions that are as artfully formed as any great poem or melody. Most require little mathematical knowledge, just careful logic and a playful imagination.Each chapter presents a series of thematically...
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A History of Greek Mathematics, Volume I: From Thales to Euclidvolume 1As it is, the book is indispensable; it has, indeed, no serious English rival. -- Times Literary Supplement. Sir Thomas Heath, foremost English historian of the ancient exact sciences in the twentieth century. -- Professor W. H. StahlIndeed, seeing that so much of Greek...
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Mathtastic Level 1 Numbers to 10Finally, an off the shelf Maths intervention for students with difficulties which is research based and has a number sense foundation. We know if we spend time developing number sense and not algorithms students make better progress in the long term. This program has...
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