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Knots And Primes - An Introduction To Arithmetic Topology

by Masanori Morishita

~~50,01€~~ 45,01€ 10% OFF

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 This book provides a foundation for arithmetic topology, a new branch of mathematics that investigates the analogies between the topology of knots, 3-manifolds, and the arithmetic of number fields.
ENGLISH

Elliptic Functions And Modular Forms

by Aloys Krieg e Max Koecher

~~72,86€~~ 65,57€ 10% OFF

 The theory of elliptic functions and modular forms is rich and storied, though it has a reputation for difficulty. Following Weierstrassâ€™s approach to elliptic functions, they also cover elliptic curves and complex multiplication.
ENGLISH

Continuum Theory

by Alejandro Illanes

~~72,86€~~ 65,57€ 10% OFF

 The second half explores the theory of hyperspaces, presenting various models, their properties, and key theorems, while also highlighting elegant and lesser-known mathematical results.Designed for readers with an understanding of basic topology, this book serves as a valuable resource for PhD students and researchers in mathematics.
ENGLISH

Diagrammatic Algebra

by Chris Bowman

~~72,86€~~ 65,57€ 10% OFF

 <p><em>Diagrammatic Algebra</em> provides the intuition and tools necessary to address some of the key questions in modern representation theory, chief among them Lusztig’s conjecture. This book offers a largely self-contained introduction to diagrammatic algebra, culminating in an explicit and entirely diagrammatic treatment of Geordie Williamson’s explosive torsion counterexamples in full detail.<br><br>The book begins with an overview of group theory and representation theory: first encountering Coxeter groups through their actions on puzzles, necklaces, and Platonic solids; then building up to non-semisimple representations of Temperley-Lieb and zig-zag algebras; and finally constructing simple representations of binary Schur algebras using the language of coloured Pascal triangles. Next, Kazhdan-Lusztig polynomials are introduced, with their study motivated by their combinatorial properties. The discussion then turns to diagrammatic Hecke categories and their associated <em>p</em>-Kazhdan-Lusztig polynomials, explored in a hands-on manner with numerous examples. The book concludes by showing that the problem of determining the prime divisors of Fibonacci numbers is a special case of the problem of calculating <em>p</em>-Kazhdan-Lusztig polynomials—using only elementary diagrammatic calculations and some manipulation of (5x5)-matrices. <br><br>Richly illustrated and assuming only undergraduate-level linear algebra, this is a particularly accessible introduction to cutting-edge topics in representation theory. The elementary-yet-modern presentation will also be of interest to experts.</p>
ENGLISH

Measure, Probability And Functional Analysis

by Hannah Geiss e Stefan Geiss

~~72,86€~~ 65,57€ 10% OFF

 <p>This textbook offers a self-contained introduction to probability, covering all topics required for further study in stochastic processes and stochastic analysis, as well as some advanced topics at the interface between probability and functional analysis.</p><p>The initial chapters provide a rigorous introduction to measure theory, with a special focus on probability spaces. Next, Lebesgue integration theory is developed in full detail covering the main methods and statements, followed by the important limit theorems of probability. Advanced limit theorems, such as the Berry-Esseen Theorem and Stein’s method, are included. The final part of the book explores interactions between probability and functional analysis. It includes an introduction to Banach function spaces, such as Lorentz and Orlicz spaces, and to random variables with values in Banach spaces. The Itô-Nisio Theorem, the Strong Law of Large Numbers in Banach spaces, and the Bochner, Pettis, and Dunford integrals are presented. As an application, Brownian motion is rigorously constructed and investigated using Banach function space methods.</p><p>Based on courses taught by the authors, this book can serve as the main text for a graduate-level course on probability, and each chapter contains a collection of exercises. The unique combination of probability and functional analysis, as well as the advanced and original topics included, will also appeal to researchers working in probability and related fields.</p>
ENGLISH

Introduction To Algebraic Geometry - A Computational Approach

by Frank-Olaf Schreyer

~~72,86€~~ 65,57€ 10% OFF

 <p>Algebraic Geometry is a huge area of mathematics which went through several phases: Hilbert''s fundamental paper from 1890, sheaves and cohomology introduced by Serre in the 1950s, Grothendieck''s theory of schemes in the 1960s and so on. This book covers the basic material known before Serre''s introduction of sheaves to the subject with an emphasis on computational methods. In particular, we will use Gröbner basis systematically.</p><p>The highlights are the Nullstellensatz, Gröbner basis, Hilbert''s syzygy theorem and the Hilbert function, Bézout’s theorem, semi-continuity of the fiber dimension, Bertini''s theorem, Cremona resolution of plane curves and parametrization of rational curves.</p><p>In the final chapter we discuss the proof of the Riemann-Roch theorem due to Brill and Noether, and give its basic applications.The algorithm to compute the Riemann-Roch space of a divisor on a curve, which has a plane model with only ordinary singularities, use adjoint systems. The proof of the completeness of adjoint systems becomes much more transparent if one use cohomology of coherent sheaves. Instead of giving the original proof of Max Noether, we explain in an appendix how this easily follows from standard facts on cohomology of coherent sheaves. </p><p>The book aims at undergraduate students. It could be a course book for a first Algebraic Geometry lecture, and hopefully motivates further studies.</p>
ENGLISH

Introduction To Functional Analysis

by Daniel Pellegrino, Eduardo Teixeira e Geraldo Botelho

~~72,86€~~ 65,57€ 10% OFF

 <p>This textbook offers an accessible introduction to Functional Analysis, providing a solid foundation for students new to the field. It is designed to support learners with no prior background in the subject and serves as an effective guide for introductory courses, suitable for students in mathematics and other STEM disciplines.</p><p>The book provides a comprehensive introduction to the essential topics of Functional Analysis across the first seven chapters, with a particular emphasis on normed vector spaces, Banach spaces, and continuous linear operators. It examines the parallels and distinctions between Functional Analysis and Linear Algebra, highlighting the crucial role of continuity in infinite-dimensional spaces and its implications for complex mathematical problems.</p><p>Later chapters broaden the scope, including advanced topics such as topological vector spaces, techniques in Nonlinear Analysis, and key theorems in theory of Banach spaces. Exercises throughout the book reinforce understanding and allow readers to test their grasp of the material.</p><p>Designed for students in mathematics and other STEM disciplines, as well as researchers seeking a thorough introduction to Functional Analysis, this book takes a clear and accessible approach. Prerequisites include a strong foundation in analysis in the real line, linear algebra, and basic topology, with helpful references provided for additional consultation.</p>
ENGLISH

Spectral Theory And Quantum Mechanics

by Mathieu Lewin

~~59,61€~~ 53,65€ 10% OFF

 This textbook presents the spectral theory of self-adjoint operators on Hilbert space and its applications in quantum mechanics.
ENGLISH

Differential Geometry And Homogeneous Spaces

by Kai Kohler

~~66,24€~~ 59,62€ 10% OFF

 <p>This textbook offers a rigorous introduction to the foundations of Riemannian Geometry, with a detailed treatment of homogeneous and symmetric spaces, as well as the foundations of the General Theory of Relativity.</p><p>Starting with the basics of manifolds, it presents key objects of differential geometry, such as Lie groups, vector bundles, and de Rham cohomology, with full mathematical details. Next, the fundamental concepts of Riemannian geometry are introduced, paving the way for the study of homogeneous and symmetric spaces. As an early application, a version of the Poincaré-Hopf and Chern-Gauss-Bonnet Theorems is derived. The final chapter provides an axiomatic deduction of the fundamental equations of the General Theory of Relativity as another important application. Throughout, the theory is illustrated with color figures to promote intuitive understanding, and over 200 exercises are provided (many with solutions) to help master the material.</p><p>The book is designed to cover a two-semester graduate course for students in mathematics or theoretical physics and can also be used for advanced undergraduate courses. It assumes a solid understanding of multivariable calculus and linear algebra.</p>
ENGLISH

Analysis And Partial Differential Equations

by Thomas Alazard

~~72,86€~~ 65,57€ 10% OFF

 This textbook provides a modern introduction to advanced concepts and methods of mathematical analysis. The first three parts of the book cover functional analysis, harmonic analysis, and microlocal analysis.
ENGLISH

Basic Oka Theory In Several Complex Variables

by Junjiro Noguchi

~~66,24€~~ 59,62€ 10% OFF

 This book provides a new, comprehensive, and self-contained account of Oka theory as an introduction to function theory of several complex variables, mainly concerned with the Three Big Problems (Approximation, Cousin, Pseudoconvexity) that were solved by Kiyoshi Oka and form the basics of the theory.
ENGLISH

Knots And Primes - An Introduction To Arithmetic Topology

by Masanori Morishita

~~66,24€~~ 59,62€ 10% OFF

 This book provides a foundation for arithmetic topology, a new branch of mathematics that investigates the analogies between the topology of knots, 3-manifolds, and the arithmetic of number fields.
ENGLISH

Bilinear Maps And Tensor Products In Operator Theory

by Carlos S. Kubrusly

~~54,06€~~ 48,65€ 10% OFF

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 This text covers a first course in bilinear maps and tensor products intending to bring the reader from the beginning of functional analysis to the frontiers of exploration with tensor products.
ENGLISH

Lectures In Knot Theory - An Exploration Of Contemporary Topics

by Deborah Weeks, Dionne Ibarra, Gabriel Montoya-Vega, Jozef H. Przytycki e Rhea Palak Bakshi

~~72,86€~~ 65,57€ 10% OFF

 This text is based on lectures delivered by the first author on various, often nonstandard, parts of knot theory and related subjects.
ENGLISH

Probability - An Introduction Through Theory And Exercises

by Paolo Baldi

~~72,86€~~ 65,57€ 10% OFF

 This textbook offers a complete one-semester course in probability, covering the essential topics necessary for further study in the areas of probability and statistics. The book begins with a review of the fundamentals of measure theory and integration.
ENGLISH

Course In The Calculus Of Variations - Optimization, Regularity, And Modeling

by Filippo Santambrogio

~~66,24€~~ 59,62€ 10% OFF

 <div><div>This book provides an introduction to the broad topic of the calculus of variations. It addresses the most natural questions on variational problems and the mathematical complexities they present.</div><div><br></div><div>Beginning with the scientific modeling that motivates the subject, the book then tackles mathematical questions such as the existence and uniqueness of solutions, their characterization in terms of partial differential equations, and their regularity. It includes both classical and recent results on one-dimensional variational problems, as well as the adaptation to the multi-dimensional case. Here, convexity plays an important role in establishing semi-continuity results and connections with techniques from optimization, and convex duality is even used to produce regularity results. This is then followed by the more classical Hölder regularity theory for elliptic PDEs and some geometric variational problems on sets, including the isoperimetric inequality andthe Steiner tree problem. The book concludes with a chapter on the limits of sequences of variational problems, expressed in terms of -convergence.</div><div><br></div><div>While primarily designed for master''s-level and advanced courses, this textbook, based on its author''s instructional experience, also offers original insights that may be of interest to PhD students and researchers. A foundational understanding of measure theory and functional analysis is required, but all the essential concepts are reiterated throughout the book using special memo-boxes.</div></div>
ENGLISH

First Course In Category Theory

by Ana Agore

~~66,24€~~ 59,62€ 10% OFF

 <div><br></div><div>This textbook provides a first introduction to category theory, a powerful framework and tool for understanding mathematical structures. Designed for students with no previous knowledge of the subject, this book offers a gentle approach to mastering its fundamental principles.</div><div><br></div><div>Unlike traditional category theory books, which can often be overwhelming for beginners, this book has been carefully crafted to offer a clear and concise introduction to the subject. It covers all the essential topics, including categories, functors, natural transformations, duality, equivalence, (co)limits, and adjunctions. Abundant fully-worked examples guide readers in understanding the core concepts, while complete proofs and instructive exercises reinforce comprehension and promote self-study. The author also provides background material and references, making the book suitable for those with a basic understanding of groups, rings, modules, topological spaces, and set theory.</div><div><br></div><div>Based on the author''s course at the Vrije Universiteit Brussel, the book is perfectly suited for classroom use in a first introductory course in category theory. Its clear and concise style, coupled with its detailed coverage of key concepts, makes it equally suited for self-study.</div>
ENGLISH

Bilinear Maps And Tensor Products In Operator Theory

by Carlos S. Kubrusly

~~66,24€~~ 59,62€ 10% OFF

 This text covers a first course in bilinear maps and tensor products intending to bring the reader from the beginning of functional analysis to the frontiers of exploration with tensor products.
ENGLISH

Indoor Air Quality - Occurrence And Health Effects Of Contaminants

by Hermann Fromme

243,33€ + 10% CARD

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 This book presents a comprehensive and detailed overview of indoor pollution, covering the main contaminants in the indoor environment â€" air and dust, the health aspects of exposure, and different possibilities for a risk assessment.
ENGLISH

Lectures In Knot Theory - An Exploration Of Contemporary Topics

by Deborah Weeks, Dionne Ibarra, Gabriel Montoya-Vega, Jozef H. Przytycki e Rhea Palak Bakshi

~~54,06€~~ 48,65€ 10% OFF

free shipping

 This text is based on lectures delivered by the first author on various, often nonstandard, parts of knot theory and related subjects.
ENGLISH

Public-Private Stewardship - Achieving Value-For-Money In Public-Private Partnerships

by Joshua M. Steinfeld

54,06€ + 10% CARD

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 This book offers a defense acquisition perspective that provides action orientations and decision making to increase the value-for-money (VFM) of public-private partnerships (PPPs) through public-private stewardship (PPS).
ENGLISH

Gaussian Measures In Finite And Infinite Dimensions

by Daniel W. Stroock

50,01€ + 10% CARD

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 This text provides a concise introduction, suitable for a one-semester special topicscourse, to the remarkable properties of Gaussian measures on both finite and infinitedimensional spaces.
ENGLISH

Introduction To Isospectrality

by Alberto Arabia

44,60€ + 10% CARD

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 Chapter 2 gives an elementary treatment of flat surfaces and describes Buser's combinatorial method to construct a flat surface with a given group of isometries (a Buser surface).
ENGLISH

Markov Chains On Metric Spaces - A Short Course

by Michel Benaim e Tobias Hurth

50,01€ + 10% CARD

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 This book gives an introduction to discrete-time Markov chains which evolve on a separable metric space. The book can serve as the core for a semester- or year-long graduate course in probability theory withan emphasis on Markov chains or random dynamics.
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