Produktbild: Russian for the Mathematician

Russian for the Mathematician

Fr. 171.00

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

05.01.1972

Verlag

Springer Berlin

Seitenzahl

212

Maße (L/B/H)

23.5/15.5/1.3 cm

Gewicht

347 g

Auflage

1972

Sprache

Englisch

ISBN

978-3-540-05811-3

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

05.01.1972

Verlag

Springer Berlin

Seitenzahl

212

Maße (L/B/H)

23.5/15.5/1.3 cm

Gewicht

347 g

Auflage

1972

Sprache

Englisch

ISBN

978-3-540-05811-3

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Russian for the Mathematician
  • 1 Plan of the book.- 2 Inheritance, transliteration and loan-translation.- 3 Roots and prefixes.- 4 The Indo-European language and its descendants.- 5 Vowel gradation.- 6 Consonant variation.- 7 The alphabet.- I Alphabet.- 1 The Cyrillic alphabet.- 2 Memorizing the alphabet.- 3 History of the Cyrillic consonants.- 4 The vowel-symbols; the basic vowel-scheme.- 5 Hard and soft consonants.- 6 The spelling rule.- II Pronunciation.- 1 Importance of pronunciation.- 2 The six Russian vowel-sounds.- 3 Monosyllables for practice in pronunciation.- 4 Remarks on hard and soft consonants.- 5 Hard and soft consonants in English and Russian.- 6 A first approximation to Russian pronunciation.- 7 The letter ? when pronounced but not written.- 8 The “separating” hard and soft signs.- 9 The letter ? when written.- 10 Assimilation of voiced and voiceless consonants.- 11 Consonant clusters.- 12 Words of more than one syllable; accents.- III Inflection.- 1 The concept of declension.- 2 The three declensions.- 3 Frequency of occurrence of nouns of the eight types.- 4 Declension in the plural.- 5 Remarks on the exercises.- 6 The concept of grammatical gender.- 7 Declension of pronouns.- 8 Declension of adjectives.- 9 The numerals.- 10 Adjective-noun phrases; italics.- 11 Comparative and superlative of adjectives and adverbs.- 12 The uninflected parts of speech.- 13 The verb; present imperfective and future perfective.- 14 The future imperfective and the past tense.- 15 The adjectival and adverbial participles.- IV Aspect.- 1 Difference in meaning between the two aspects.- 2 Aspect regarded as a correspondence.- 3 Perfective partners and lexical compounds.- 4 The imperfectivizing suffixes.- 5 Table of aspectual and lexical compounds of verbs.- 6 Notes on the table.- V Vocabulary.- 1 Plan of the chapter.- 2 The three “verbs of motion”.- 3 The root ?ep- (?-) take.- 4 The roots ?a?- lay and c?a- stand.- 5 Verbs formed from adjectives.- 6 Twenty roots of considerable productivity.- 7 Forty roots of moderate productivity.- 8 Other nouns and adjectives.- Readings.- Preliminary remarks.- Section A Extracts from elementary analytic geometry and calculus.- A1 Distance between points.- A2 Division of a segment.- A3 Polar coordinates.- A4 Parallel translation of axes.- A5 Rotation of axes.- A6 Equations of the straight line.- A7 The line through a point in a given direction.- A8 Normal equation of the line.- A9 General linear equation of the line.- A10 The line through two given points.- A11 Segments on the axis (i.e. intercepts).- A12 Definition of a vector.- A13 Sum of vectors.- A14 Scalar products.- A15 General equation of the plane.- A16 Parametric equations of a line in space.- A17 Introduction of irrational numbers.- A18 Continuity of the domain of real numbers.- A19 Least upper and greatest lower bounds.- A20 Fundamental theorem on real numbers.- A21 The elementary functions.- A22 Limit of a function.- A23 Continuity of a function.- A24 Heine-Borel and Weierstrass theorems.- A25 Derivative of a function.- A26 Equation of the tangent to a curve.- A27 Maximum and minimum of a function.- A28 Differentiation of a sum, difference, product.- A29 Derivative of a composite function.- A30 Indefinite integral.- A31 Integration by change of variable.- A32 Integration by parts.- A33 Fundamental theorem of the integral calculus.- Section B Extracts from elementary algebra and analysis.- B1 Operations on sets.- B2 Properties of the operations on sets.- B3 One-to-one correspondence.- B4 Equivalent sets.- B5 Ordered sets.- B6 Similar sets.- B7 Algebraic operations.- B8 Rings.- B9 Examples of rings.- B10 The zero of a ring.- B11 Domains of integrity.- B12 Fields.- B13 Unit element.- B14 Division.- B15 Characteristic of a field; prime fields.- B16 Isomorphism.- B17 Ordered rings.- B18 Properties of ordered rings.- B19 Axiom of Archimedes.- B20 The natural numbers.- B21 Addition and multiplication of natural numbers.- B22 Order of the natural numbers.- B23 Subtraction and division of natural numbers.- B24 Fundamental theorem of arithmetic.- B25 The extension principle.- B26 Performability of operations in an extension.- B27 Equivalence classes.- B28 The ring of integers up to isomorphism.- B29 The ring of integers.- B30 The field of rational numbers.- B31 Quotient fields.- B32 The field of real numbers.- B33 The field of complex numbers.- Section C More advanced topics.- Cl Functions of a real variable.- C2 Functions of several complex variables.- C3 Summability theory of divergent series.- C4 Generalized functions.- C5 Calculus of variations.- C6 Theory of groups and generalizations.- C7 Theory of numbers.- C8 Mathematical logic.- C9 Partial differential equations.- C10 Hilbert space.- C11 Differential geometry.- C12 Topology.- Name and Subject Index.