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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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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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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The Shape of Inner Space: String Theory and the Geometry of the Universe's Hidden DimensionsString theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space, Shing-Tung Yau, the...
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Professor Stewart's Hoard of Mathematical TreasuresOpening another drawer in his Cabinet of Curiosities, renowned mathematics professor Ian Stewart presents a new medley of games, paradoxes, and riddles in Professor Stewart's Hoard of Mathematical Treasures. With wit and aplomb, Stewart mingles casual puzzles with grander forays into ancient and modern...
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Professor Stewart's Cabinet of Mathematical CuriositiesKnowing that the most exciting math is not taught in school, Professor Ian Stewart has spent years filling his cabinet with intriguing mathematical games, puzzles, stories, and factoids intended for the adventurous mind. This book reveals the most exhilarating oddities from Professor Stewart's legendary...
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Young Mathematicians at Work: Constructing Fractions, Decimals, and PercentsIn our efforts to reform mathematics education, we've learned a tremendous amount about young students' strategies and the ways they construct knowledge, without fully understanding how to support such development over time. The Dutch do. So, funded by the National Science Foundation and ExxonMobil,...
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Demana: Precalculus _c8In Precalculus, the authors encourage graphical, numerical, and algebraic modeling of functions as well as a focus on problem solving, conceptual understanding, and facility with technology. They have created a book that is designed for instructors and written for students making this the most...
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The History of Mathematics: A Very Short IntroductionThis Very Short Introduction explores the rich historical and cultural diversity of mathematical practice, ranging from the distant past to the present. Historian Jacqueline Stedall shows that mathematical ideas are far from being fixed, but are adapted and changed by their passage across periods...
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