Mathematik
-
Bücher
- Reisen
- Kinderbücher
- Ratgeber
- Sachbücher
- Musik
- Belletristik
- Wissenschaft
- Wirtschaft
-
Hardcover
- Kinder- und Jugendbücher
- Belletristik
- Medien, Kommunikation
- Schule, Lernen
- Religion
- Reisen
- Technik
- Recht
- Kunst
- Karten, Stadtpläne, Atlanten
- Unterhaltung
- Sachbücher
- Technik
- Reisen
- Religion
- Recht
- Ratgeber
- Reiseführer
- Musik
- Schule, Lernen
- Karten, Stadtpläne, Atlanten
- Pädagogik
- Wirtschaft
- Kunst
- Sozialwissenschaften allgemein
- Slawische Sprachwissenschaft, Literaturwissenschaft
- Mathematik
- Geisteswissenschaften allgemein
- Medien, Kommunikation
- Reiseberichte, Reiseerzählungen
- Romanhafte Biografien
- Klassische Sprachwissenschaft, Literaturwissenschaft
- Taschenbücher
- Karten
- Kalender
- Digitale Inhalte
"Alles ist Zahl"
"Das ist o. B. d. A. trivial!"
"Das ist o. B. d. A. trivial!"
"Flipped Classroom" im Mathematikunterricht der Grundschule
"Is this sample unusual?"
"Lieber Herr Fuchs, lieber Herr Schmatz!"
"Nichts". Krise und reEvolution der Grundlagen der Mathematik
a. Die Null war lange keine Zahl, sondern symbolisierte "nichts". Im 16. Jahrhundert wurde sie auf-grund von metaphysischen Vorbehalten gegen das Nichts zu "etwas", einer "Zahl", verkehrt. Da-durch wird das tertium non datur verletzt, die Bedeutung "nichts" muß beibehalten werden.b. Das Unendlichkeitsaxiom setzt die "Zahl 0" voraus. Die wahre Bedeutung, "nichts", widerlegt die Existenz des Transfiniten, es gilt Aristoteles' "ein begrenztes Unendliches gibt es nicht".c. Sätze über "Nicht-Existenz" werden durch äquivalente Sätze über "nichts" bewiesen. Gödels Satz ist durch die "Nicht-Existenz" seines Beweises durch eine Sequenz definiert. Er wird durch "nichts" der Beweisführung, ohne Sequenz, bewiesen. Die Unvollständigkeit ist aufgehoben.d. Seit Euklid gelten die unendliche Teilbarkeit der Strecke und unendliche Ziffernfolgen reeller Zahlen. Die unteilbare Planck-Länge widerlegt diese Annahmen. Alle reellen Zahlen sind damit rational, irrationale Zahlen existieren nicht, ebenso wenig der Limes unendlicher Folgen. Der Grenzwert wird zum Limit begrenzter Folgen, die mit einer minimalen reellen Zahl abbrechen.e. Falsche metaphische Voraussetzungen der Grundlagen der Mathematik werden durch Kants transzendentale Kriterien ersetzt. Ein revidiertes Axiomensystem der Mengenlehre wird vorgelegt.
"pi" in Music
"Tutorials on Mathematics to MATLAB"
"Viral hepatitis A: Diagnosis and management" guide
"Zwillinge brauchen alles doppelt" - Einführung des Verdoppelns im Rahmen des Mathematikunterrichts
#Mathebuddy - Dein Update für Studium und Beruf
''h''- Cobordism
''p''- Adic Analysis
'UNIVERSAL MATHEMATICS' : A NEW DIRECTION IN MATHEMATICS
The author has initiated a new subject entitled "Universal Mathematics" in parallel to the existing mathematics but with an extended notion in style and nature of growth. By 'mathematics' we mathematicians mean several branches of mathematics like: Algebra, Geometry, Number Theory, Calculus, Analysis, Mechanics, Astronomy, etc. to list a few only out of many. However the author has initiated the new subject "Universal Mathematics" with the introduction of four new topics at the outset, which are : (i) a new algebraic structure called by 'Region', (ii) a new calculus called by 'Region Calculus', (iii) a new theory called by 'Theory of Objects' (iv) a new kind of Number Theory, and (v) a new kind of geometry called by 'Object Geometry'. On reading the complete content of the book, it is observed that each of these five topics is a beginning of a new era in some way, providing extension of one or more topics of the existing mathematics. It is rightly claimed by the author that many other new topics are to be introduced in 'Universal Mathematics' by future research work and discovery, with time.
(1+1)-NONLNR UNIVERSE PARABOLIC MAP & COMBINATORICS, THE
This monograph develops chaos theory from properties of the graphs inverse to the parabolic map of the interval [0, 2], where the height at the midpoint x = 1 may be viewed as a time-like parameter, which together with the x-coordinate, provide the two parameters that uniquely characterize the parabola, and which are used throughout the monograph. There is only one basic mathematical operation used: function composition. The functions studied are the n-fold composition of the basic parabola with itself. However, it is the properties of the graph inverse to this n-fold composition that are the objects whose properties are developed. The reflection symmetry of the basic parabola through the vertical line x = 1 gives rise to two symmetry classes of inverse graphs: the inverse graphs and their conjugates. Quite remarkably, it turns out that there exists, among all the inverse graphs and their conjugates, a completely deterministic class of inverse graphs and their conjugates. Deterministic in the sense that this class is uniquely determined for all values of the time-like parameter and the x-coordinate, the entire theory, of course, being highly nonlinear — it is polynomial in the time-like parameter and in the x-coordinate. The deterministic property and its implementation are key to the argument that the system is a complex adaptive system in the sense that a few axioms lead to structures of unexpected richness.This monograph is about working out the many details that advance the notion that deterministic chaos theory, as realized by a complex adaptive system, is indeed a new body of mathematics that enriches our understanding of the world around us. But now the imagination is also opened to the possibility that the real universe is a complex adaptive system.
(3+3+2) Warped-Like Product Manifolds With Spin(7) Holonomy
In the theory of Riemannian holonomy groups there are two exceptional cases, the holonomy group G_2 in 7-dimensional and the holonomy group Spin(7) in 8-dimensional manifolds. In the present work, we investigate the structure of Riemannian manifolds whose holonomy group is a subgroup of Spin(7) for a special case. Manifolds with Spin(7) holonomy are characterized by the existence of a 4-form, called the Bonan form (Cayley form or Fundamental form), which is self-dual in the Hodge sense, Spin(7) invariant and closed. We review two methods for the construction of the Bonan form, based on the octonionic multiplication and the triple vector cross products on octonions. Here we define "(3+3+2) warped-like product manifolds" as a generalization of multiply warped product manifolds, by allowing the fiber metric to be non block diagonal. In this thesis we prove that the fibre spaces of (3+3+2) warped-like product manifolds are isometric to 3-sphere under some global assumptions.
(Almost) Impossible Integrals, Sums, and Series
(GENERALIZED) FUZZY MATRICES AND RELATIONS
The book provides an overview of the main concepts and results related to fuzzy matrices and fuzzy relations, using 'fuzzy' in a general sense to mean many-valued. This overview, along with numerous references to original contributions dispersed across various journals, serves as a comprehensive guide for further exploration.This volume can be viewed in two ways: (i) as a companion to the author's previous work, "Relations: Concrete, Abstract, and Applied" (published by WSPC, 2020), but with a distinct emphasis on many-valued concepts; or (ii) as a standalone volume that can be read independently, which necessarily includes some repetition of material from the earlier book as preliminary or reference content.Similar to the previous book, this one does not present new findings but offers a self-contained compilation of known results selected from the extensive research conducted over the past five decades, arranged in a systematic manner.The topics covered in this text have been the subject of intensive research over the last two decades, yet there has been no book publication on this subject for over 15 years. This book aims to bridge that gap.
(Hoch)Schulmathematik
(In-)Stability of Differential Inclusions
(k,r) domination and its variations
This book contains application to surveillance networks. There are many origins to the theory of domination. The earliest ideas of dominating sets date back to the game of chess which has its origins in India. This area of graph theory is rich in history, full of interesting results and a host of unanswered research problems. There are more than a hundred models of dominating and related types of sets in graphs. Each type of domination sprouted, flowered and new results came into fruition resulting in many application in various fields. The different models of domination can be categorized based upon the type of domination and the nature of the sets of domination. The main aim of this book is to study (k,r) domination, (k,r) point domination and weak (k,r) point domination in graphs.