Un Invito Allalgebra

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Mathematical Analysis I

Author : Claudio Canuto
Publisher : Springer
ISBN 13 : 3319127721
Total Pages : 495 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Mathematical Analysis I by : Claudio Canuto

Download or read book Mathematical Analysis I written by Claudio Canuto and published by Springer. This book was released on 2015-04-08 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the volume is to provide a support for a first course in Mathematics. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques. Proofs to the main results befit the intermediate level, together with several remarks and complementary notes enhancing the treatise. The last, and farthest-reaching, level requires the additional study of the material contained in the appendices, which enable the strongly motivated reader to explore further into the subject. Definitions and properties are furnished with substantial examples to stimulate the learning process. Over 350 solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a first course of Mathematics.

Curves and Surfaces

Author : M. Abate
Publisher : Springer Science & Business Media
ISBN 13 : 8847019419
Total Pages : 407 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Curves and Surfaces by : M. Abate

Download or read book Curves and Surfaces written by M. Abate and published by Springer Science & Business Media. This book was released on 2012-06-11 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then present the classical local theory of parametrized plane and space curves (curves in n-dimensional space are discussed in the complementary material): curvature, torsion, Frenet’s formulas and the fundamental theorem of the local theory of curves. Then, after a self-contained presentation of degree theory for continuous self-maps of the circumference, we study the global theory of plane curves, introducing winding and rotation numbers, and proving the Jordan curve theorem for curves of class C2, and Hopf theorem on the rotation number of closed simple curves. The local theory of surfaces begins with a comparison of the concept of parametrized (i.e., immersed) surface with the concept of regular (i.e., embedded) surface. We then develop the basic differential geometry of surfaces in R3: definitions, examples, differentiable maps and functions, tangent vectors (presented both as vectors tangent to curves in the surface and as derivations on germs of differentiable functions; we shall consistently use both approaches in the whole book) and orientation. Next we study the several notions of curvature on a surface, stressing both the geometrical meaning of the objects introduced and the algebraic/analytical methods needed to study them via the Gauss map, up to the proof of Gauss’ Teorema Egregium. Then we introduce vector fields on a surface (flow, first integrals, integral curves) and geodesics (definition, basic properties, geodesic curvature, and, in the complementary material, a full proof of minimizing properties of geodesics and of the Hopf-Rinow theorem for surfaces). Then we shall present a proof of the celebrated Gauss-Bonnet theorem, both in its local and in its global form, using basic properties (fully proved in the complementary material) of triangulations of surfaces. As an application, we shall prove the Poincaré-Hopf theorem on zeroes of vector fields. Finally, the last chapter will be devoted to several important results on the global theory of surfaces, like for instance the characterization of surfaces with constant Gaussian curvature, and the orientability of compact surfaces in R3.

Mathematical Finance: Theory Review and Exercises

Author : Emanuela Rosazza Gianin
Publisher : Springer Science & Business Media
ISBN 13 : 3319013572
Total Pages : 286 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Mathematical Finance: Theory Review and Exercises by : Emanuela Rosazza Gianin

Download or read book Mathematical Finance: Theory Review and Exercises written by Emanuela Rosazza Gianin and published by Springer Science & Business Media. This book was released on 2014-02-10 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book collects over 120 exercises on different subjects of Mathematical Finance, including Option Pricing, Risk Theory, and Interest Rate Models. Many of the exercises are solved, while others are only proposed. Every chapter contains an introductory section illustrating the main theoretical results necessary to solve the exercises. The book is intended as an exercise textbook to accompany graduate courses in mathematical finance offered at many universities as part of degree programs in Applied and Industrial Mathematics, Mathematical Engineering, and Quantitative Finance.

Logic: a Brief Course

Author : Daniele Mundici
Publisher : Springer Science & Business Media
ISBN 13 : 8847023610
Total Pages : 132 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Logic: a Brief Course by : Daniele Mundici

Download or read book Logic: a Brief Course written by Daniele Mundici and published by Springer Science & Business Media. This book was released on 2012-03-29 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic. A proof of Gödel's completeness theorem and its main consequences is given using Robinson's completeness theorem and Gödel's compactness theorem for propositional logic. The reader will familiarize himself with many basic ideas and artifacts of mathematical logic: a non-ambiguous syntax, logical equivalence and consequence relation, the Davis-Putnam procedure, Tarski semantics, Herbrand models, the axioms of identity, Skolem normal forms, nonstandard models and, interestingly enough, proofs and refutations viewed as graphic objects. The mathematical prerequisites are minimal: the book is accessible to anybody having some familiarity with proofs by induction. Many exercises on the relationship between natural language and formal proofs make the book also interesting to a wide range of students of philosophy and linguistics.

A Textbook on Ordinary Differential Equations

Author : Shair Ahmad
Publisher : Springer
ISBN 13 : 3319164082
Total Pages : 337 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis A Textbook on Ordinary Differential Equations by : Shair Ahmad

Download or read book A Textbook on Ordinary Differential Equations written by Shair Ahmad and published by Springer. This book was released on 2015-06-05 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the theory and applications. The work is mainly intended for students of Mathematics, Physics, Engineering, Computer Science and other areas of the natural and social sciences that use ordinary differential equations, and who have a firm grasp of Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also studies a few more advanced topics, such as Stability Theory and Boundary Value Problems, which may be suitable for more advanced undergraduate or first-year graduate students. The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available. Instructors who wish to adopt the book may request the manual by writing directly to one of the authors.

Mathematical Analysis II

Author : Claudio Canuto
Publisher : Springer
ISBN 13 : 3319127578
Total Pages : 563 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Mathematical Analysis II by : Claudio Canuto

Download or read book Mathematical Analysis II written by Claudio Canuto and published by Springer. This book was released on 2015-02-07 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book’s structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, familiarise with the corresponding key techniques and find the proofs of the main results. The second level enables the strongly motivated reader to explore further into the subject, by studying also the material contained in the appendices. Definitions are enriched by many examples, which illustrate the properties discussed. A host of solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a second course of Mathematical Analysis.

A Primer on PDEs

Author : Sandro Salsa
Publisher : Springer Science & Business Media
ISBN 13 : 8847028620
Total Pages : 494 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis A Primer on PDEs by : Sandro Salsa

Download or read book A Primer on PDEs written by Sandro Salsa and published by Springer Science & Business Media. This book was released on 2013-05-13 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like applied mathematics, physics, engineering. It has evolved while teaching courses on partial differential equations during the last decade at the Politecnico of Milan. The main purpose of these courses was twofold: on the one hand, to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences and on the other hand to give them a solid background for numerical methods, such as finite differences and finite elements.

Mathematical Models and Numerical Simulation in Electromagnetism

Author : Alfredo Bermúdez de Castro
Publisher : Springer
ISBN 13 : 3319029495
Total Pages : 440 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Mathematical Models and Numerical Simulation in Electromagnetism by : Alfredo Bermúdez de Castro

Download or read book Mathematical Models and Numerical Simulation in Electromagnetism written by Alfredo Bermúdez de Castro and published by Springer. This book was released on 2014-07-22 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book represents a basic support for a master course in electromagnetism oriented to numerical simulation. The main goal of the book is that the reader knows the boundary-value problems of partial differential equations that should be solved in order to perform computer simulation of electromagnetic processes. Moreover it includes a part devoted to electric circuit theory based on ordinary differential equations. The book is mainly oriented to electric engineering applications, going from the general to the specific, namely, from the full Maxwell’s equations to the particular cases of electrostatics, direct current, magnetostatics and eddy currents models. Apart from standard exercises related to analytical calculus, the book includes some others oriented to real-life applications solved with MaxFEM free simulation software.

Spectral Theory and Quantum Mechanics

Author : Valter Moretti
Publisher : Springer Science & Business Media
ISBN 13 : 8847028353
Total Pages : 742 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Spectral Theory and Quantum Mechanics by : Valter Moretti

Download or read book Spectral Theory and Quantum Mechanics written by Valter Moretti and published by Springer Science & Business Media. This book was released on 2013-04-02 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics. Having left the physical phenomenology in the background, it is the formal and logical aspects of the theory that are privileged. Another not lesser purpose is to collect in one place a number of useful rigorous statements on the mathematical structure of Quantum Mechanics, including some elementary, yet fundamental, results on the Algebraic Formulation of Quantum Theories. In the attempt to reach out to Master's or PhD students, both in physics and mathematics, the material is designed to be self-contained: it includes a summary of point-set topology and abstract measure theory, together with an appendix on differential geometry. The book should benefit established researchers to organise and present the profusion of advanced material disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly.

Die Ausdchnungslehre Von 1844, Oder Die Lineale Ausdehnungslehre: Ein Neuer Zweig Der Mathematik, Da

Author : Hermann Grassmann
Publisher : Legare Street Press
ISBN 13 : 9781015991705
Total Pages : 0 pages
Book Rating : 4.9/5 (917 download)

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Book Synopsis Die Ausdchnungslehre Von 1844, Oder Die Lineale Ausdehnungslehre: Ein Neuer Zweig Der Mathematik, Da by : Hermann Grassmann

Download or read book Die Ausdchnungslehre Von 1844, Oder Die Lineale Ausdehnungslehre: Ein Neuer Zweig Der Mathematik, Da written by Hermann Grassmann and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Using Italian Vocabulary

Author : Marcel Danesi
Publisher : Cambridge University Press
ISBN 13 : 9781139437165
Total Pages : 492 pages
Book Rating : 4.4/5 (371 download)

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Book Synopsis Using Italian Vocabulary by : Marcel Danesi

Download or read book Using Italian Vocabulary written by Marcel Danesi and published by Cambridge University Press. This book was released on 2003-08-07 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using Italian Vocabulary provides the student of Italian with an in-depth, structured approach to the learning of vocabulary. It can be used for intermediate and advanced undergraduate courses, or as a supplementary manual at all levels - including elementary level - to supplement the study of vocabulary. The book is made up of twenty units covering topics that range from clothing and jewellery, to politics and environmental issues, with each unit consisting of words and phrases that have been organized thematically and according to levels so as to facilitate their acquisition. The book will enable students to acquire a comprehensive control of both concrete and abstract vocabulary allowing them to carry out essential communicative and interactional tasks. • A practical topic-based textbook that can be inserted into all types of course syllabi • Provides exercises and activities for classroom and self-study • Answers are provided for a number of exercises

Deutsche Nationalbibliografie

Author : Die deutsche Nationalbibliothek
Publisher :
ISBN 13 :
Total Pages : 914 pages
Book Rating : 4.6/5 (438 download)

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Book Synopsis Deutsche Nationalbibliografie by : Die deutsche Nationalbibliothek

Download or read book Deutsche Nationalbibliografie written by Die deutsche Nationalbibliothek and published by . This book was released on 2008 with total page 914 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematics Teacher in the Digital Era

Author : Alison Clark-Wilson
Publisher : Springer Science & Business Media
ISBN 13 : 9400746385
Total Pages : 419 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis The Mathematics Teacher in the Digital Era by : Alison Clark-Wilson

Download or read book The Mathematics Teacher in the Digital Era written by Alison Clark-Wilson and published by Springer Science & Business Media. This book was released on 2013-12-08 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume addresses the key issue of the initial education and lifelong professional learning of teachers of mathematics to enable them to realize the affordances of educational technology for mathematics. With invited contributions from leading scholars in the field, this volume contains a blend of research articles and descriptive texts. In the opening chapter John Mason invites the reader to engage in a number of mathematics tasks that highlight important features of technology-mediated mathematical activity. This is followed by three main sections: An overview of current practices in teachers’ use of digital technologies in the classroom and explorations of the possibilities for developing more effective practices drawing on a range of research perspectives (including grounded theory, enactivism and Valsiner’s zone theory). A set of chapters that share many common constructs (such as instrumental orchestration, instrumental distance and double instrumental genesis) and research settings that have emerged from the French research community, but have also been taken up by other colleagues. Meta-level considerations of research in the domain by contrasting different approaches and proposing connecting or uniting elements

Finite Dimensional Vector Spaces

Author : Paul R. Halmos
Publisher : Princeton University Press
ISBN 13 : 1400882230
Total Pages : 206 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Finite Dimensional Vector Spaces by : Paul R. Halmos

Download or read book Finite Dimensional Vector Spaces written by Paul R. Halmos and published by Princeton University Press. This book was released on 2016-03-02 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a newly minted Ph.D., Paul Halmos came to the Institute for Advanced Study in 1938--even though he did not have a fellowship--to study among the many giants of mathematics who had recently joined the faculty. He eventually became John von Neumann's research assistant, and it was one of von Neumann's inspiring lectures that spurred Halmos to write Finite Dimensional Vector Spaces. The book brought him instant fame as an expositor of mathematics. Finite Dimensional Vector Spaces combines algebra and geometry to discuss the three-dimensional area where vectors can be plotted. The book broke ground as the first formal introduction to linear algebra, a branch of modern mathematics that studies vectors and vector spaces. The book continues to exert its influence sixty years after publication, as linear algebra is now widely used, not only in mathematics but also in the natural and social sciences, for studying such subjects as weather problems, traffic flow, electronic circuits, and population genetics. In 1983 Halmos received the coveted Steele Prize for exposition from the American Mathematical Society for "his many graduate texts in mathematics dealing with finite dimensional vector spaces, measure theory, ergodic theory, and Hilbert space."

Bollettino Della Unione Matematica Italiana

Author : Unione matematica italiana
Publisher :
ISBN 13 :
Total Pages : 950 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bollettino Della Unione Matematica Italiana by : Unione matematica italiana

Download or read book Bollettino Della Unione Matematica Italiana written by Unione matematica italiana and published by . This book was released on 1976 with total page 950 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Italian Vocabulary

Author : Marcel Danesi
Publisher : Barron's Educational Series
ISBN 13 : 9780812044713
Total Pages : 0 pages
Book Rating : 4.0/5 (447 download)

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Book Synopsis Italian Vocabulary by : Marcel Danesi

Download or read book Italian Vocabulary written by Marcel Danesi and published by Barron's Educational Series. This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than 5000 words and phrases are presented with their Italian translations. Words and phrases are categorized according to practical subject themes, which include numbers, measurements, words describing people, telephoning, shopping, the arts, travel, and many other categories. An English-to-Italian index provides quick reference to a word or phrase.

Resolution of Curve and Surface Singularities in Characteristic Zero

Author : K. Kiyek
Publisher : Springer Science & Business Media
ISBN 13 : 1402020295
Total Pages : 506 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Resolution of Curve and Surface Singularities in Characteristic Zero by : K. Kiyek

Download or read book Resolution of Curve and Surface Singularities in Characteristic Zero written by K. Kiyek and published by Springer Science & Business Media. This book was released on 2012-09-11 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l m ordinary singular points with respective multiplicities ri, i E {1, . . . , m}, the genus p of the curve is given by the formula = (n - l)(n - 2) _ ~ "r. (r. _ 1) P 2 2 L. . ,. •• . Of course, the problem now arises: how to compute the genus of a plane curve having some non-ordinary singularities. This leads to the natural question: can we birationally transform any (singular) plane curve into another one having only ordinary singularities? The answer is positive. Let us give a flavor (without proofs) 2 on how Noether did it • To solve the problem, it is enough to consider a special kind of Cremona trans formations, namely quadratic transformations of the projective plane. Let ~ be a linear system of conics with three non-collinear base points r = {Ao, AI, A }, 2 and take a projective frame of the type {Ao, AI, A ; U}.