Tensors and the Clifford algebra: application to the physics by Alphonse Charlier

By Alphonse Charlier

This functional reference and textual content offers the purposes of tensors, Lie teams and algebra to Maxwell, Klein-Gordon and Dirac equations, making effortless theoretical physics understandable and high-level theoretical physics accessible.;Providing the basic arithmetic essential to comprehend the purposes, Tensors and the Clifford Algebra bargains lucid discussions of covariant tensor calculus; examines matters from quite a few views; provides hugely precise advancements of all calculations; employs the language of physics in its factors; and illustrates using Clifford algebra and tensor calculus in learning bosons and fermions.;With over 2800 demonstrate equations and 14 appendixes, this e-book might be an invaluable reference for mathematical physicists and utilized mathematicians, and a huge textual content for upper-level undergraduate and graduate scholars in quantum mechanics, relativity, electromagnetism, theoretical physics, elasticity and box conception classes.

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Algebra in 15 Minutes a Day (Junior Skill Builders) by LearningExpress Editors

By LearningExpress Editors

You do not have to be a genius to turn into an algebra ace-you can do it in exactly quarter-hour an afternoon full of brief and snappy classes, Junior ability developers: Algebra in quarter-hour an afternoon makes studying algebra effortless. it really is real: making experience of algebra does not need to take many years . . . and it does not must be tricky! in precisely one month, scholars can achieve services and straightforwardness in the entire algebra innovations that frequently stump scholars. How? each one lesson supplies one small a part of the larger algebra challenge, in order that each day scholars construct upon what was once discovered the day earlier than. enjoyable factoids, catchy reminiscence hooks, and important shortcuts ensure that each one algebra suggestion turns into ingrained. With Junior ability developers: Algebra in quarter-hour an afternoon, ahead of you recognize it, a suffering pupil turns into an algebra pro-one step at a time. in precisely quarter-hour an afternoon, scholars grasp either pre-algebra and algebra, together with: Fractions, multiplication, department, and different simple math Translating phrases into variable expressions Linear equations genuine numbers Numerical coefficients Inequalities and absolute values platforms of linear equations Powers, exponents, and polynomials Quadratic equations and factoring Rational numbers and proportions and masses extra! in exactly quarter-hour an afternoon, scholars grasp either pre-algebra and algebra, together with: Fractions, multiplication, department, and different simple math Translating phrases into variable expressions Linear equations actual numbers Numerical coefficients Inequalities and absolute values platforms of linear equations Powers, exponents, and polynomials Quadratic equations and factoring Rational numbers and proportions and lots more and plenty extra! as well as the entire crucial perform that youngsters have to ace lecture room checks, pop quizzes, classification participation, and standardized tests, Junior ability developers: Algebra in quarter-hour an afternoon offers mom and dad with a simple and available strategy to aid their youngsters exce

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Theorie und Praxis der Booleschen Algebra by M. Denis-Papin

By M. Denis-Papin

Das vorliegende Werk besitzt eine seltene Eigenschaft: Einerseits ist es yom mathe matischen Standpunkt genau und so vollstandig, daB es moglich ist, den Begriff "Teil menge" der Mengenlehre streng mathematisch zu definieren, ohne die Kritik eines Mathe matikers hervorzurufen; andererseits wird jeder der eingeftihrten und axiomatisch defi nierten Begriffe mit Anwendungen und zahlreichen Beispielen aus der Erfahrung ver bunden, so daB die mathematische Definition nur nattirlich erscheint. Das Werk kann sicherlich ohne umfangreiche mathematische Kenntnisse gelesen und nutzbringend gebraucht werden, wasjedoch den reinen Mathematiker nicht hindert, genaue Ausftihrungen, die er beansprucht, zu finden. Zu diesem letzten Punkt mochte ich die Beziehung zwischen der Booleschen Algebra der Teilmengen einer Menge und der binaren Algebra zitieren. Dieses Buch wendet sich an alle, die sich mit Boolescher Algebra beschaftigen, und lenkt die Aufmerksamkeit sowohl der weniger Eingeweihten als auch der Spezia pay attention auf sich. Vergessen wir nicht, daB die Boolesche Algebrajeden Tag in neue Bereiche ein dringt. Das Feld der Anwendungen erscheint jedoch so groB, daB jeder neue Bereich den Leser, der das gesamte Werk irn Auge hat, vom Weg abbringen konnte. Es ist uns zu Beginn gelungen, eine gute Einftihrung der unendlichen Mengen zu geben, obwohl irn Folgenden nur endliche Mengen beriicksichtigt werden. Auf diese Weise erhalt der Leser eine gewisse Aufnahmebereitschaft, die fUr das weitere Werk notwendig ist. Meiner Kenntnis nach ist es die einzige Abhandlung tiber Mengenlehre, die die Ahnlichkeiten und Unterschiede zwischen dem mathematischen Begriff der Menge und den verschiedenen benachbarten intuitiven Begriffen hervorhebt.

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Boolesche Algebra und ihre Anwendungen by John Eldon Whitesitt

By John Eldon Whitesitt

George Boole (1815-1864) flihrte in seinem Buch "The legislation of idea" die erste systematische Behandlung der Logik ein und entwickelte zu diesem Zweck die algebraische Struktur, die heute als Boolesche Algebra bekannt ist. Nur wenige mathematische Werke der vergan genen hundert Jahre haben auf die Mathematik und Philosophie einen groBeren EinfluB ausgetibt als dieses bertihmte Buch. Die Bedeutung dieses Werkes hat Augustus De Morgan mit folgenden Worten zum Ausdruck gebracht: "DaB die symbolischen Prozesse der Algebra, urspriinglich zum Zweck numerischer Rechnungen erfunden, fiihig sein sollten, jeden Akt des Denkens auszudrucken und Grammatik und Worterbuch eiaes allumfassenden structures der Logik zu Hefem, dieses hiitte niemand geglaubt, bevor es in "Laws of proposal" bewiesen wurde. " AuBer in der Logik hat die Boolesche Algebra in der Hauptsache zwei andere wichtige Anwendungen gefunden. Die erste riihrt von der Tat sache her, daB die Boolesche Algebra das naturgegebene Werkzeug flir die Behandlung der Verkntipfungen von Mengen von Elementen durch die Operationen von Durchschnitt und Vereinigung darstellt. Zusammen mit dem Begriff der "Anzahl der Elemente" einer Menge gibt die Boolesche Algebra auch die Grundlage flir die Theorie der Wahrscheinlichkeitsrechnung abo Dariiber hinaus ist die Mengenalgebra auch in vielen anderen Zweigen der Mathematik von Bedeutung. Vor etwa zwanzig Jahren (fschloB Claude E. Shannon in zwei Arbeiten der Booleschen Algebra einen neuen Anwendungsbereich, indem er nachwies, daB sie sich zur Darstellung der grundlegenden Eigenschaften von Serien- und Parallelschaltungen bistabiler elektrischer Elemente, wie Schalter und Relais, besonders intestine eignet.

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Set theory by Felix Hausdorff

By Felix Hausdorff

This paintings is a translation into English of the 3rd version of the vintage German language paintings Mengenlehre by means of Felix Hausdorff released in 1937. From the Preface (1937): ``The current booklet has as its function an exposition of crucial theorems of the idea of units, in addition to whole proofs, in order that the reader will not be locate it essential to cross outdoors this e-book for supplementary info whereas, nonetheless, the e-book should still permit him to adopt a extra particular examine of the voluminous literature at the topic. The publication doesn't presuppose any mathematical wisdom past the differential and crucial calculus, however it does require a undeniable adulthood in summary reasoning; certified university seniors and primary yr graduate scholars should not have any trouble in making the fabric their very own ... The mathematician will ... locate during this booklet a few issues that might be new to him, not less than as regards formal presentation and, specifically, as regards the strengthening of theorems, the simplification of proofs, and the elimination of pointless hypotheses.''

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Noteables: Interactive Study Notebook with Foldables by Holliday, Luchin, Cuevas, Carter

By Holliday, Luchin, Cuevas, Carter

A Note-taking consultant for each lesson within the scholar Edition.Cuild your Vocabulary: permits scholars to incorporate Vocabulary of their Notes.Foldables: aid scholars create 3-D research organizers.Bringing all of it jointly: is helping scholars assessment for the bankruptcy Test.Are you prepared for the bankruptcy Test?: Assesses scholars' Readiness.422 pages.

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Elimination Methods in Polynomial Computer Algebra by Valery Bykov, Alexander Kytmanov, Mark Lazman (auth.),

By Valery Bykov, Alexander Kytmanov, Mark Lazman (auth.), Mikael Passare (eds.)

The topic of this e-book is attached with a brand new course in arithmetic, which has been actively constructed during the last few years, specifically the sector of polynomial laptop algebra, which lies on the intersection aspect of algebra, mathematical research and programming. there have been numerous incentives to write down the publication. firstly, there has in recent years been a substantial curiosity in utilized nonlinear difficulties characterised by means of a number of sta­ tionary states. functional wishes have then of their flip ended in the looks of recent theoretical ends up in the research of structures of nonlinear algebraic equations. and eventually, the creation of varied desktop programs for analytic manipulations has made it attainable to take advantage of complex elimination-theoretical algorithms in prac­ tical study. The constitution of the ebook is hence represented by way of 3 major elements: Mathematical effects pushed to optimistic algorithms, computing device algebra realizations of those algorithms, and purposes. Nonlinear platforms of algebraic equations come up in assorted fields of technology. particularly, for approaches defined by means of structures of differential equations with a poly­ nomial correct hand facet one is confronted with the matter of deciding upon the quantity (and position) of the desk bound states in sure sets.

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