By Jakob Ablinger, Johannes Blümlein (auth.), Carsten Schneider, Johannes Blümlein (eds.)

The booklet specializes in complicated desktop algebra equipment and detailed features that experience extraordinary purposes within the context of quantum box conception. It provides the cutting-edge and new tools for (infinite) a number of sums, a number of integrals, specifically Feynman integrals, distinction and differential equations within the structure of survey articles. The offered recommendations emerge from interdisciplinary fields: arithmetic, laptop technological know-how and theoretical physics; the articles are written through mathematicians and physicists with the target that either teams can study from the opposite box, together with most up-to-date advancements. along with that, the gathering of articles additionally serves as an updated instruction manual of obtainable algorithms/software which are favourite or can assist within the fields of arithmetic, physics or different sciences.

By Bartel L van der Waerden

This attractive and eloquent textual content remodeled the graduate educating of algebra in Europe and the U.S.. It basically and succinctly formulated the conceptual and structural insights which Noether had expressed so forcefully and mixed it with the beauty and realizing with which Artin had lectured. this article is a reprinted model of the unique English translation of the 1st quantity of B.L. van der Waerden’s Algebra.

By William Rowan Hamilton

By Max Deuring

By Prof. Dr. Uwe-Peter Tietze, PD Dr. Manfred Klika, Dr. Hans Wolpers (auth.), Prof. Dr. Uwe-Peter Tietze, PD Dr. Manfred Klika, Dr. Hans Wolpers (eds.)

Der Band 2 des Werkes Mathematikunterricht in der Sekundarstufe II unterzieht den Unterricht in Analytischer Geometrie und Linearer Algebra einer umfassenden didaktisch-methodischen examine. challenge- und Anwendungsorientierung, geometrische Objektstudien und Rechnerexperimente nehmen einen wichtigen Platz ein. Es wird das Ziel verfolgt, die Inhalte des Oberstufenunterrichts zu vernetzen; dabei spielt der Themenkreis Kurven und Flächen eine besondere Rolle.
Das Werk wendet sich an Fachdidaktiker, Studenten des gymnasialen Lehramts, Referendare und Lehrer.

By Antoine Chambert-Loir

This specified textbook specializes in the constitution of fields and is meant for a moment direction in summary algebra. along with offering proofs of the transcendance of pi and e, the booklet contains fabric on differential Galois teams and an explanation of Hilbert's irreducibility theorem. The reader will pay attention approximately equations, either polynomial and differential, and concerning the algebraic constitution in their strategies. In explaining those suggestions, the writer additionally offers reviews on their historic improvement and leads the reader alongside many attention-grabbing paths.

In addition, there are theorems from research: as acknowledged sooner than, the transcendence of the numbers pi and e, the truth that the complicated numbers shape an algebraically closed box, and likewise Puiseux's theorem that indicates how you can parametrize the roots of polynomial equations, the coefficients of that are allowed to alter. There are routines on the finish of every bankruptcy, various in measure from effortless to tough. To make the e-book extra energetic, the writer has included photos from the background of arithmetic, together with scans of mathematical stamps and photographs of mathematicians.

By Seymour Lipschutz, Marc Lars Lipson

Tricky try Questions? overlooked Lectures? now not sufficient Time? thankfully, there's Schaum's. This all-in-one-package comprises 612 absolutely solved difficulties, examples, and perform routines to sharpen your problem-solving abilities. Plus, you have got entry to twenty-five exact video clips that includes Math teachers who clarify tips on how to resolve the main in most cases verified problems--it's similar to having your personal digital educate! You'll locate every little thing you must construct self belief, talents, and data for the top rating attainable. greater than forty million scholars have relied on Schaum's to aid them reach the school room and on checks. Schaum's is the main to speedier studying and better grades in each topic. every one define offers the entire crucial path details in an easy-to-follow, topic-by-topic structure. you furthermore may get enormous quantities of examples, solved difficulties, and perform workouts to check your talents. This Schaum's define promises 612 totally solved difficulties Concise reasons of all direction suggestions aid for all significant textbooks for linear algebra classes totally appropriate along with your school room textual content, Schaum's highlights all of the vital proof you want to recognize. Use Schaum's to shorten your examine time--and get your top try out rankings!

By Prof. Dr. Fritz Neiss (auth.)

By Joachim Hilgert

Dieses Buch richtet sich an Studierende der Mathematik, die die Anfängervorlesungen in research und Linearer Algebra gemeistert haben. Es ist gedacht als Orientierungshilfe für die Vielzahl an spezialisierten  Fachveranstaltungen in den mittleren und höheren Semestern. Ein wichtiges Anliegen ist die Darstellung von Vergleichsmöglichkeiten und Ähnlichkeiten  zwischen mathematischen Disziplinen. Das organisierende Prinzip ist der Begriff der mathematischen Struktur, der sich durch alle Teilgebiete der Mathematik zieht.

Die Inhalte,  an denen die verschiedenen Typen von Strukturen exemplarisch erläutert werden, decken curriculare Anforderungen insbesondere aus der Algebra und der Geometrie (differentiell und algebraisch) ab. Die Diskussion von Vergleichsmöglichkeiten enthält aber auch Einführungen in die Kategorientheorie und die Garbentheorie, deren Bedeutung in der modernen Mathematik eine stärkere Verankerung in den Curricula nahelegt.   

Das Buch eignet sich insbesondere auch zum Nachschlagen der dargestellten Strukturen.