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  • Godel's Incompleteness Theorems
    Godel's Incompleteness Theorems

    This Element takes a deep dive into Gödel's 1931 paper giving the first presentation of the Incompleteness Theorems, opening up completely passages in it that might possibly puzzle the student, such as the mysterious footnote 48a.It considers the main ingredients of Gödel's proof: arithmetization, strong representability, and the Fixed Point Theorem in a layered fashion, returning to their various aspects: semantic, syntactic, computational, philosophical and mathematical, as the topic arises.It samples some of the most important proofs of the Incompleteness Theorems, e.g. due to Kuratowski, Smullyan and Robinson, as well as newer proofs, also of other independent statements, due to H.Friedman, Weiermann and Paris-Harrington. It examines the question whether the incompleteness of e.g.Peano Arithmetic gives immediately the undecidability of the Entscheidungsproblem, as Kripke has recently argued.It considers set-theoretical incompleteness, and finally considers some of the philosophical consequences considered in the literature.

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  • Problems and Theorems in Linear Algebra
    Problems and Theorems in Linear Algebra

    There are a number of very good books available on linear algebra.From this one might deduce that the existing books contain all that one needs to know in the best possible form and that any new book would just repeat material in the old ones.However, new results in linear algebra appear constantly, as do new, simpler, and better proofs of old results.Many linear algebra results obtained in the past thirty years are accessible to undergraduate mathematics majors, but are usually ignored by textbooks.In addition, more than a few interesting old results are not covered in many books.In this book, Prasolov provides the basics of linear algebra, with an emphasis on new results and on nonstandard and interesting proofs.The book features about 230 problems with complete solutions.It would be a fine supplementary text for an undergraduate or graduate algebra course.

    Price: 146.00 £ | Shipping*: 0.00 £
  • Journey through Genius : Great Theorems of Mathematics
    Journey through Genius : Great Theorems of Mathematics

    Praise for William Dunham s Journey Through Genius The GreatTheorems of Mathematics "Dunham deftly guides the reader throughthe verbal and logical intricacies of major mathematical questionsand proofs, conveying a splendid sense of how the greatestmathematicians from ancient to modern times presented theirarguments." Ivars Peterson Author, The Mathematical TouristMathematics and Physics Editor, Science News "It is mathematics presented as a series of works of art; afascinating lingering over individual examples of ingenuity andinsight.It is mathematics by lightning flash." Isaac Asimov "It is a captivating collection of essays of major mathematicalachievements brought to life by the personal and historicalanecdotes which the author has skillfully woven into the text.Thisis a book which should find its place on the bookshelf of anyoneinterested in science and the scientists who create it." R.L.Graham, AT&T Bell Laboratories "Come on a time-machine tour through 2,300 years in which Dunhamdrops in on some of the greatest mathematicians in history.Almostas if we chat over tea and crumpets, we get to know them and theirideas ideas that ring with eternity and that offer glimpses intothe often veiled beauty of mathematics and logic. And all the whilewe marvel, hoping that the tour will not stop." Jearl Walker,Physics Department, Cleveland State University Author of The FlyingCircus of Physics

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  • Wigner-Type Theorems for Hilbert Grassmannians
    Wigner-Type Theorems for Hilbert Grassmannians

    Wigner's theorem is a fundamental part of the mathematical formulation of quantum mechanics.The theorem characterizes unitary and anti-unitary operators as symmetries of quantum mechanical systems, and is a key result when relating preserver problems to quantum mechanics.At the heart of this book is a geometric approach to Wigner-type theorems, unifying both classical and more recent results.Readers are initiated in a wide range of topics from geometric transformations of Grassmannians to lattices of closed subspaces, before moving on to a discussion of applications.An introduction to all the key aspects of the basic theory is included as are plenty of examples, making this book a useful resource for beginning graduate students and non-experts, as well as a helpful reference for specialist researchers.

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  • Journey through Genius: Great Theorems of Mathematics
    Journey through Genius: Great Theorems of Mathematics

    Journey through Genius: Great Theorems of Mathematics

    Price: 28.50 € | Shipping*: 0.00 €
  • Calculus On Manifolds : A Modern Approach To Classical Theorems Of Advanced Calculus
    Calculus On Manifolds : A Modern Approach To Classical Theorems Of Advanced Calculus

    This little book is especially concerned with those portions of ?advanced calculus? in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.The approach taken here uses elementary versions of modern methods found in sophisticated mathematics.The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers).Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.

    Price: 49.99 £ | Shipping*: 0.00 £
  • Project Management for Engineering, Business and Technology
    Project Management for Engineering, Business and Technology

    Project Management for Engineering, Business and Technology is a highly regarded textbook that addresses project management across all industries.First covering the essential background, from origins and philosophy to methodology, the bulk of the book is dedicated to concepts and techniques for practical application.Coverage includes project initiation and proposals, scope and task definition, scheduling, budgeting, risk analysis, control, project selection and portfolio management, program management, project organization, and all-important "people" aspects—project leadership, team building, conflict resolution, and stress management. The systems development cycle is used as a framework to discuss project management in a variety of situations, making this the go-to book for managing virtually any kind of project, program, or task force.The authors focus on the ultimate purpose of project management—to unify and integrate the interests, resources and work efforts of many stakeholders, as well as the planning, scheduling, and budgeting needed to accomplish overall project goals. This sixth edition features: updates throughout to cover the latest developments in project management methodologies; a new chapter on project procurement management and contracts; an expansion of case study coverage throughout, including those on the topic of sustainability and climate change, as well as cases and examples from across the globe, including India, Africa, Asia, and Australia; and extensive instructor support materials, including an instructor’s manual, PowerPoint slides, answers to chapter review questions and a test bank of questions.Taking a technical yet accessible approach, this book is an ideal resource and reference for all advanced undergraduate and graduate students in project management courses, as well as for practicing project managers across all industry sectors.

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  • Foundations of Quantitative Finance, Book VI:  Densities, Transformed Distributions, and Limit Theorems
    Foundations of Quantitative Finance, Book VI: Densities, Transformed Distributions, and Limit Theorems

    Every finance professional wants and needs a competitive edge.A firm foundation in advanced mathematics can translate into dramatic advantages to professionals willing to obtain it.Many are not—and that is the competitive edge these books offer the astute reader. Published under the collective title of Foundations of Quantitative Finance, this set of ten books develops the advanced topics in mathematics that finance professionals need to advance their careers.These books expand the theory most do not learn in graduate finance programs, or in most financial mathematics undergraduate and graduate courses. As an investment executive and authoritative instructor, Robert R.Reitano presents the mathematical theories he encountered and used in nearly three decades in the financial services industry and two decades in academia where he taught in highly respected graduate programs. Readers should be quantitatively literate and familiar with the developments in the earlier books in the set.While the set offers a continuous progression through these topics, each title can be studied independently. FeaturesExtensively referenced to materials from earlier booksPresents the theory needed to support advanced applicationsSupplements previous training in mathematics, with more detailed developmentsBuilt from the author's five decades of experience in industry, research, and teachingPublished and forthcoming titles in the Robert R.Reitano Quantitative Finance Series:Book I: Measure Spaces and Measurable FunctionsBook II: Probability Spaces and Random VariablesBook III: The Integrals of Riemann, Lebesgue and (Riemann-)StieltjesBook IV: Distribution Functions and ExpectationsBook V: General Measure and Integration TheoryBook VI: Densities, Transformed Distributions, and Limit TheoremsBook VII: Brownian Motion and Other Stochastic ProcessesBook VIII: Itô Integration and Stochastic Calculus 1Book IX: Stochastic Calculus 2 and Stochastic Differential EquationsBook X: Classical Models and Applications in Finance

    Price: 74.99 £ | Shipping*: 0.00 £

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