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ENGLISH

Analysis And Algebra On Differentiable Manifolds: A Workbook For Students And Teachers

by J. Munoz Masque e P.M. Gadea

67,56€ + 10% CARD

 A famous Swiss professor gave a student’s course in Basel on Riemann surfaces. After a couple of lectures, a student asked him, "Professor, you have as yet not given an exact de nition of a Riemann surface." The professor answered, "With Riemann surfaces, the main thing is to UNDERSTAND them, not to de ne them." The student’s objection was reasonable. From a formal viewpoint, it is of course necessary to start as soon as possible with strict de nitions, but the professor’s - swer also has a substantial background. The pure de nition of a Riemann surface— as a complex 1-dimensional complex analytic manifold—contributes little to a true understanding. It takes a long time to really be familiar with what a Riemann s- face is. This example is typical for the objects of global analysis—manifolds with str- tures. There are complex concrete de nitions but these do not automatically explain what they really are, what we can do with them, which operations they really admit, how rigid they are. Hence, there arises the natural question—how to attain a deeper understanding? One well-known way to gain an understanding is through underpinning the d- nitions, theorems and constructions with hierarchies of examples, counterexamples and exercises. Their choice, construction and logical order is for any teacher in global analysis an interesting, important and fun creating task.
ENGLISH

Queen Of Mathematics - An Introduction To Number Theory

by W.S. Anglin

211,34€ + 10% CARD

 Like other introductions to number theory, this one includes the usual curtsy to divisibility theory, the bow to congruence, and the little chat with quadratic reciprocity. It also includes proofs of results such as Lagrange''s Four Square Theorem, the theorem behind Lucas''s test for perfect numbers, the theorem that a regular n-gon is constructible just in case phi(n) is a power of 2, the fact that the circle cannot be squared, Dirichlet''s theorem on primes in arithmetic progressions, the Prime Number Theorem, and Rademacher''s partition theorem. We have made the proofs of these theorems as elementary as possible. Unique to The Queen of Mathematics are its presentations of the topic of palindromic simple continued fractions, an elementary solution of Lucas''s square pyramid problem, Baker''s solution for simultaneous Fermat equations, an elementary proof of Fermat''s polygonal number conjecture, and the Lambek-Moser-Wild theorem.
ENGLISH

Partial Differential Equations Through Examples And Exercises

by Arpad Takaci, Djurdjica Takaci e E. Pap

59,61€ + 10% CARD

 The book Partial Differential Equations through Examples and Exercises has evolved from the lectures and exercises that the authors have given for more than fifteen years, mostly for mathematics, computer science, physics and chemistry students. By our best knowledge, the book is a first attempt to present the rather complex subject of partial differential equations (PDEs for short) through active reader-participation. Thus this book is a combination of theory and examples. In the theory of PDEs, on one hand, one has an interplay of several mathematical disciplines, including the theories of analytical functions, harmonic analysis, ODEs, topology and last, but not least, functional analysis, while on the other hand there are various methods, tools and approaches. In view of that, the exposition of new notions and methods in our book is "step by step". A minimal amount of expository theory is included at the beginning of each section Preliminaries with maximum emphasis placed on well selected examples and exercises capturing the essence of the material. Actually, we have divided the problems into two classes termed Examples and Exercises (often containing proofs of the statements from Preliminaries). The examples contain complete solutions, and also serve as a model for solving similar problems, given in the exercises. The readers are left to find the solution in the exercises; the answers, and occasionally, some hints, are still given. The book is implicitly divided in two parts, classical and abstract.
ENGLISH

Differential And Integral Equations Through Practical Problems And Exercises

by G. Micula e Paraschiva Pavel

118,59€ + 10% CARD

 This volume presents a collection of problems and exercises, together with guidelines and worked solutions, covering a wide range of commonly occurring differential and integral equations, from first and higher order differential equations to Laplace transforms and integral equations.
ENGLISH

Foundations Of Linear Algebra

by Jonathan S. Golan

59,61€ + 10% CARD

 Presents a course in linear algebra for undergraduate mathematics students. By proving results for vector spaces over arbitrary fields, rather than only the field of real or complex numbers, this title prepares the way for the study of algebraic coding theory, automata theory, and other subjects in theoretical computer science.
ENGLISH

Elementary Analysis Through Examples And Exercises

by Arpad Takaci, Djurdjica Takaci e John Schmeelk

118,59€ + 10% CARD

 Provides a comparison of real numbers viewed as a totally ordered field or constructed using the Dedekind cut method. This book explores properties surrounding real numbers and proves relationships using mathematical induction. It is suitable for undergraduate and graduate students in areas of mathematical science and its applications.
ENGLISH

Fundamentals Of Functional Analysis

by Semen Samsonovich Kutateladze

118,59€ + 10% CARD

 This is a guide to basic sections of modern functional analysis. Included are such topics as the principles of Banach and Hilbert spaces, the theory of multinormed and uniform spaces, the Riesz-Dunford holomorphic functional calculus, and the Fredholm index theory.
ENGLISH

Nonlinear Wave Dynamics - Complexity And Simplicity

by J. Engelbrecht

118,59€ + 10% CARD

 The general idea advocated in this work is to start from complicated mathematical models describing wave motion as it results from the rules of continuum mechanics, and then to find a simpler viewpoint that still keeps everything essential preserved.
ENGLISH

Exercises In Basic Ring Theory

by Grigore Calugareanu e P. Hamburg

59,61€ + 10% CARD

 Contains almost 350 exercises in basic ring theory. This volume treats subjects such as zero divisors, ring homomorphisms, divisibility in integral domains, division rings, and automorphisms. It is suitable for lecturers and graduate students involved in associative rings and algebras, commutative rings and algebras, and algebraic number theory.
ENGLISH

Lattice Concepts Of Module Theory

by Grigore Calugareanu

118,59€ + 10% CARD

 This volume is dedicated to the use of lattice theory in module theory. Its main purpose is to present all module-theoretic results that can be proved by lattice theory only, and to develop the theory necessary to do so.
ENGLISH

Algorithmic Principles Of Mathematical Programming

by G. Still, Ulrich Faigle e W. Kern

118,59€ + 10% CARD

 Advances in algorithmic theory have shown that the traditionally separate areas of discrete optimization, linear programming, and nonlinear optimization are closely linked. This book offers an introduction to the whole subject. It investigates the mathematical structures and principles underlying the design of efficient algorithms.
ENGLISH

Exercises In Functional Analysis

by C. Costara e D. Popa

171,59€ + 10% CARD

 This book contains almost 450 exercises, all with complete solutions; it provides supplementary examples, counter-examples, and applications for the basic notions usually presented in an introductory course in Functional Analysis. Three comprehensive sections cover the broad topic of functional analysis. A large number of exercises on the weak topologies is included.
ENGLISH

Exercises In Abelian Group Theory

by C. Modoi, C. Pelea, D. Valcan, Grigore Calugareanu e S. Breaz

59,61€ + 10% CARD

 Covers elementary results in Abelian Groups. This book covers many topics related to the theory. It offers exercises categorised according to their level of difficulty, simple, exercises of medium difficulty, difficult exercises, and their solutions. It is aimed at experts in the field as a reference to a large number of examples in Group Theory.
ENGLISH

Complex Analysis Through Examples And Exercises

by E. Pap

59,61€ + 10% CARD

 Offers an exposition of the theory of complex analysis via a comprehensive set of examples and exercises. This book is intended for undergraduate and graduate students in mathematics, physics, technology and economics interested in complex analysis.
ENGLISH

Elements Of Survey Sampling

by Naurang Singh Mangat e R. Singh

118,59€ + 10% CARD

 This volume serves as an elementary textbook and reference book in sampling methods. It includes coverage of sampling schemes such as simple random sampling, unequal probability sampling, stratified sampling, and systematic sampling.
ENGLISH

Exercises In Graph Theory

by Igor E. Zverovich, O. Melnikov, R.I. Tyshkevich, V. Sarvanov e V. Yemelichev

184,84€ + 10% CARD

 Covers the principal branches of graph theory in more than a thousand exercises of varying complexity. This work includes topics such as trees, independence and coverings, matchings, tours, planarity, colourings, degree sequences, connectivity, digraphs and hypergraphs. It is suitable for researchers, lecturers and graduate students.
ENGLISH

Introduction To Differential And Algebraic Topology

by N.M. Bliznyakov, T.N. Fomenko, Y.A. Izrailevich e Yu.G. Borisovich

98,71€ + 10% CARD

 Contains the basic concepts and theorems of general topology and homotopy theory, the classification of two-dimensional surfaces, an outline of smooth manifold theory and mappings of smooth manifolds. This volume includes elements of Morse and homology theory, with their application to fixed points.
ENGLISH

Problems And Exercises In Discrete Mathematics

by A.A. Sapozhenko e G.P. Gavrilov

145,09€ + 10% CARD

 Contains problems on such topics as Boolean algebra, k-valued logics, graphs and networks, elements of coding theory, automata theory, algorithms theory, combinatorics, Boolean minimization and logical design. This book is suitable for undergraduate students of discrete mathematics, and also to postgraduates and researchers.
ENGLISH

Basic Concepts Of Synthetic Differential Geometry

by R. Lavendhomme

255,73€ + 10% CARD

 Starting at an introductory level, this book leads to important results in synthetic differential geometry. From rudimentary analysis it moves to such results as: proof of De Rham's theorem; the synthetic view of global action, going as far as the Weil characteristic homomorphism; and, the systematic account of structured Lie objects.
ENGLISH

Discrete Hamiltonian Systems - Difference Equations, Continued Fractions, And Riccati Equations

by A.C. Peterson e Calvin Ahlbrandt

330,59€ + 10% CARD

 Explores several aspects of discrete Hamiltonian systems. This book provides interconnections between symplectic systems, recessive and dominant solutions, various discrete Riccati equations, and continued fraction representations of solutions of Riccati equations.
ENGLISH

Lectures On Morse Homology

by Augustin Banyaga e David Hurtubise

92,74€ + 10% CARD

 Offers a presentation of results needed to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. This book presents results with detailed proofs.
ENGLISH

Mathematical Modelling - Case Studies And Projects

by Douglas K.S. Ng e J. Caldwell

59,61€ + 10% CARD

 Deals with Case Studies and Projects. The case studies and projects involve Mathematical and Computational Methods from the three key areas of ODEs, PDEs and Optimization. This book teaches mathematical modelling using a case study approach.
ENGLISH

Discrete Hamiltonian Systems - Difference Equations, Continued Fractions, And Riccati Equations

by A.C. Peterson e Calvin Ahlbrandt

267,00€ + 10% CARD

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 In particular, the material of the chapters on continued fractions (Chapter 2), symplectic systems (Chapter 3), and discrete variational theory (Chapter 4) summarize recent literature. Similarly, the material on transforming Riccati equations presented in Chapter 3 gives a self-contained unification of various forms of Riccati equations.
ENGLISH

Elements Of Survey Sampling

by Naurang Singh Mangat e R. Singh

89,21€ + 10% CARD

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 This is because in social sciences the factors that cause variation in the measurements on the study variable for the population units can not be controlled, whereas in physical sciences these factors can be controlled, at least to some extent, through proper experimental design.
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