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ENGLISH

Numerical Mathematics 3x9 - Three Subject Areas In 27 Short Chapters

by Soren Bartels

~~72,86€~~ 65,57€ 10% OFF

 This book provides an introduction to methods for practically solving mathematical problems, such as solving systems of linear equations, determining eigenvalues, approximating and integrating functions, solving nonlinear equations, and the approximate solution of ordinary differential equations.It consists of three parts:• Systems of linear equations, eigenvalue problems and optimisation• Interpolation, quadrature and nonlinear equations• Initial value problems and Hamiltonian systemsEach of these parts is divided into nine short chapters and corresponds approximately to the scope of a two-hour lecture over one semester. Basic knowledge of linear algebra and analysis as well as elementary programming experience are assumed. Results of analysis are only used in the second and third part of the book. Learning objectives, self-assessment tests and exemplary applications at the end of each chapter are intended to deepen the understanding of the presented material. The last chapters of the book contain extensive collections of exercises, detailed descriptions for programming projects, introductions to the programming languages MATLAB, C++ and Python, compilations of the most important results from linear algebra and analysis, some example programs, a list of further topics as well as detailed literature references. The book is aimed at undergraduate students of mathematics as well as engineering and natural sciences. The translation of this book was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content.
ENGLISH

Handbook Of Calculus Of Variations For Absolute Beginners

by Lorenzo Brasco

~~86,11€~~ 77,50€ 10% OFF

 The book aims at endowing any student with a survival toolkit to start safely diving into the realm of Calculus of Variations. In summary, the latter is a part of mathematical analysis devoted to minimization/maximization problems. A great effort has been made to present the themes and methods considered in the book in the simplest possible way: the reader will not find here general statements or proofs based on general abstract theories. In contrast, the main focus of the book is on introducing some key concepts "from scratch", by means of simple and meaningful explicit examples (including for instance, the classical isoperimetric and brachistocrone problems, as well as the boundary value problem for harmonic functions). In particular, the book is mainly (but not exclusively) designed to smoothly introduce the reader to the so-called Direct Method of the Calculus of Variations, which is a central concept in the field. Accordingly, a good part of the book is devoted to discussing spaces of weakly differentiable functions (i.e., Sobolev and Lipschitz functions), which are essential tools of the Direct Method.A long list of problems will guide the student through the study of the subject. Almost all the problems come with their fully detailed solutions. The book is complemented by four appendices, which contribute to making it self-contained, as well as to deepening the study of certain parts.<span lang="EN-US" style="font-size: 12.0pt; font-family: ''Times New Roman'',serif; mso-fareast-font-family: ''Arial Unicode MS''; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;">Despite being designed for students, even the researchers in the field could find a reading of the book profitable, at least for certain parts concerning the properties of Sobolev spaces, functional inequalities of the Sobolev-Poincaré type, tricks to handle nonlinear elliptic PDEs, and a gentle introduction to some techniques of modern regularity theory for elliptic PDEs.
ENGLISH

Exercise Book Of Statistical Inference

by Anna Maria Paganoni, Francesca Gasperoni e Francesca Ieva

~~118,59€~~ 106,73€ 10% OFF

 This book was created with the goal of helping students transition from the theoretical and methodological concepts of statistical inference to their implementation on a computer.
ENGLISH

L-Functions - An Elementary Introduction

by Davide Lombardo

~~72,86€~~ 65,57€ 10% OFF

 This book provides an accessible introduction to the theory of L-functions, emphasising their central role in number theory and their direct applications to key results. Designed to be elementary, it offers readers a clear pathway into the subject, starting from minimal background. It describes several important classes of L-functions — Riemann and Dedekind zeta functions, Dirichlet L-functions, and Hecke L-functions (for characters with finite image) — by showing how they are all special cases of the construction, due to Artin, of the L-function of a Galois representation. The analytic properties of abelian L-functions are presented in detail, including the full content of Tate''s thesis, which establishes analytic continuation and functional equations via harmonic analysis. General Hecke L-functions are also discussed, using the modern perspective of idèles and adèles to connect their analytic theory with the representation-theoretic approach of Artin''s L-functions. A distinguishing feature of this book is its accessibility: while largely avoiding arithmetic geometry, it provides introductions to both algebraic number theory and key aspects of representation theory. This approach ensures that the material is accessible to both beginning graduate students and advanced undergraduates. Applications play a central role throughout, highlighting how L-functions underpin significant results in number theory. The book provides complete proofs of the prime number theorem, Dirichlet''s theorem on primes in arithmetic progressions, Chebotarev''s density theorem, and the analytic class number formula, demonstrating the power of the theory in solving classical problems. It serves as an ideal introduction for advanced undergraduates and beginning graduate students and can also be a useful reference for preparing a course on the subject.
ENGLISH

Introduction To The Thermomechanics Of Continua And Hyperbolic Systems

by Tommaso Ruggeri

~~89,21€~~ 62,45€ 30% OFF

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 Next, the modern theory of constitutive equations is defined, emphasizing the role of the general principles of material indifference and entropy as criteria for selecting physically acceptable classes of constitutive equations.
ENGLISH

Lectures On Geometry

by Ettore Carletti e Lucian Badescu

~~62,18€~~ 43,53€ 30% OFF

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 This is an introductory textbook on geometry (affine, Euclidean and projective) suitable for any undergraduate or first-year graduate course in mathematics and physics.
ENGLISH

Exercise Book Of Statistical Inference

by Anna Maria Paganoni, Francesca Gasperoni e Francesca Ieva

~~121,66€~~ 85,16€ 30% OFF

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 This book was created with the goal of helping students transition from the theoretical and methodological concepts of statistical inference to their implementation on a computer.
ENGLISH

Lectures On Optimal Transport

by Daniele Semola, Elia Brue e Luigi Ambrosio

~~66,24€~~ 59,62€ 10% OFF

 This textbook is addressed to PhD or senior undergraduate students in mathematics, with interests in analysis, calculus of variations, probability and optimal transport.
ENGLISH

Forcing Method In Set Theory - An Introduction Via Boolean Valued Logic

by Matteo Viale

~~66,24€~~ 59,62€ 10% OFF

 The main aim of this book is to provide a compact self-contained presentation of the forcing technique devised by Cohen to establish the independence of the continuum hypothesis from the axioms of set theory. The book follows the approach to the forcing technique via Boolean valued semantics independently introduced by Vopenka and Scott/Solovay; it develops out of notes I prepared for several master courses on this and related topics and aims to provide an alternative (and more compact) account of this topic with respect to the available classical textbooks. The aim of the book is to take up a reader with familiarity with logic and set theory at the level of an undergraduate course on both topics (e.g., familiar with most of the content of introductory books on first-order logic and set theory) and bring her/him to page with the use of the forcing method to produce independence (or undecidability results) in mathematics. Familiarity of the reader with general topology would also be quite helpful; however, the book provides a compact account of all the needed results on this matter. Furthermore, the book is organized in such a way that many of its parts can also be read by scholars with almost no familiarity with first-order logic and/or set theory. The book presents the forcing method outlining, in many situations, the intersections of set theory and logic with other mathematical domains. My hope is that this book can be appreciated by scholars in set theory and by readers with a mindset oriented towards areas of mathematics other than logic and a keen interest in the foundations of mathematics.
ENGLISH

Probability Theory I - Random Variables And Distributions

by Andrea Pascucci

~~72,86€~~ 65,57€ 10% OFF

 This book provides a concise yet rigorous introduction to probability theory. Among the possible approaches to the subject, the most modern approach based on measure theory has been chosen: although it requires a higher degree of mathematical abstraction and sophistication, it is essential to provide the foundations for the study of more advanced topics such as stochastic processes, stochastic differential calculus and statistical inference. The text originated from the teaching experience in probability and applied mathematics courses within the mathematics degree program at the University of Bologna; it is suitable for second- or third-year students in mathematics, physics, or other natural sciences, assuming multidimensional differential and integral calculus as a prerequisite. The four chapters cover the following topics: measures and probability spaces; random variables; sequences of random variables and limit theorems; and expectation and conditional distribution. The text includes a collection of solved exercises.
ENGLISH

Lectures On Optimal Transport

by Daniele Semola, Elia Brue e Luigi Ambrosio

~~50,01€~~ 35,01€ 30% OFF

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 This textbook is addressed to PhD or senior undergraduate students in mathematics, with interests in analysis, calculus of variations, probability and optimal transport.
ENGLISH

Introduction To The Thermomechanics Of Continua And Hyperbolic Systems

by Tommaso Ruggeri

~~158,99€~~ 143,09€ 10% OFF

 Next, the modern theory of constitutive equations is defined, emphasizing the role of the general principles of material indifference and entropy as criteria for selecting physically acceptable classes of constitutive equations.
ENGLISH

Probability Theory Ii - Stochastic Calculus

by Andrea Pascucci

~~72,86€~~ 65,57€ 10% OFF

 This book offers a modern approach to the theory of continuous-time stochastic processes and stochastic calculus.
ENGLISH

Exact Controllability And Stabilization Of The Wave Equation

by Enrique Zuazua

~~59,61€~~ 53,65€ 10% OFF

 Lion's renowned HUM method, multiplier techniques, and the construction of Lyapunov functionals.Through meticulous analysis and practical applications, this book provides invaluable insights for researchers seeking to navigate the expansive domain of wave-like equations and their control.
ENGLISH

Cookbook With Probability One - With Financial Applications

by Damiano Rossello

~~66,24€~~ 59,62€ 10% OFF

 The fundamental concepts of random variable/vector and probability distributions are introduced beforehand with respect to the usual treatment of this subject in standard probability textbook, trying to strike a balance between precise mathematical definitions and their applied knowledge.
ENGLISH

Commutative Algebra Through Exercises

by Andrea Bandini, Enrico Sbarra e Patrizia Gianni

~~79,49€~~ 71,54€ 10% OFF

 This book provides a first introduction to the fundamental concepts of commutative algebra.
ENGLISH

Probability Theory Ii - Stochastic Calculus

by Andrea Pascucci

~~58,12€~~ 40,68€ 30% OFF

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 This book offers a modern approach to the theory of continuous-time stochastic processes and stochastic calculus.
ENGLISH

Functional Analysis, Sobolev Spaces, And Calculus Of Variations

by Pablo Pedregal

~~58,12€~~ 40,68€ 30% OFF

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 After a first general chapter to place optimization problems in infinite-dimensional spaces in perspective, the first part of the book focuses on the initial important concepts in Functional Analysis and introduces Sobolev spaces in dimension one as a preliminary, simpler case (much in the same way as in the successful book of H.
ENGLISH

Lectures On Geometry

by Ettore Carletti e Lucian Badescu

~~79,49€~~ 71,54€ 10% OFF

 This is an introductory textbook on geometry (affine, Euclidean and projective) suitable for any undergraduate or first-year graduate course in mathematics and physics.
ENGLISH

Functional Analysis, Sobolev Spaces, And Calculus Of Variations

by Pablo Pedregal

~~72,86€~~ 65,57€ 10% OFF

 After a first general chapter to place optimization problems in infinite-dimensional spaces in perspective, the first part of the book focuses on the initial important concepts in Functional Analysis and introduces Sobolev spaces in dimension one as a preliminary, simpler case (much in the same way as in the successful book of H.
ENGLISH

A Compact Course On Linear Pdes

by Alberto Valli

~~58,12€~~ 40,68€ 30% OFF

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 It contains elliptic equations, including the biharmonic problem, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, some basic results on Fredholm alternative and spectral theory, saddle point problems, parabolic and linear Navier-Stokes equations, and hyperbolic and Maxwell equations.
ENGLISH

Topology

by Marco Manetti

~~62,18€~~ 43,53€ 30% OFF

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 This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra.
ENGLISH

Mixed Boundary Problems In Solid Mechanics

by Natalya Vaysfeld e Zinaida Zhuravlova

72,86€ + 10% CARD

 The book covers a wide range of subjects and techniques related to mixed boundary problems of elasticity from basic concepts to special techniques that are unlikely to appear in traditional university graduate courses. This book may also be of interest to industrial researchers who encounter defects such as cracks and inclusions of different materials in mechanisms under different localization and type of loading. So the topics present the application of mathematical mechanics of solid bodies notably in elasticity, showing the interconnection of elasticity and temperature that would normally treated independently. Theoretical and experimental results are expected to be useful for researchers investigating a wide range of materials including metals, composites, ceramics, polymers, biomaterials and nanomaterials under different mechanical and temperature loading. The aim of the book is to introduce an interdisciplinary audience to a variety of stress state phenomena occurring in elasticity near defects and edges of the bodies.The book is aimed at researchers, primarily but not exclusively graduate students, postdoctoral researchers, specialists from Aerospace and Civil Engineering, Materials Science, and Engineering Mechanics and should naturally also be of interest to specialists of Physics and Applied Mathematics.
ENGLISH

Compact Course On Linear Pdes

by Alberto Valli

72,86€ + 10% CARD

 It contains elliptic equations, including the biharmonic problem, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, some basic results on Fredholm alternative and spectral theory, saddle point problems, parabolic and linear Navier-Stokes equations, and hyperbolic and Maxwell equations.
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