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1.

図書

図書
Carl Sagan
出版情報: New York : Ballantine Books, 1997  xxi, 360 p. ; 21 cm
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2.

図書

図書
Peter J. Gosling
出版情報: New York : Springer Science+Business Media, c1999  xiii, 139 p., [1] leaf of plates ; 24 cm
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3.

図書

図書
George F. Simmons
出版情報: New York : McGraw-Hill, c1996  xxiii, 887 p. ; 27 cm
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目次情報: 続きを見る
Numbers, Functions, and Graphs / Chapter 1:
Introduction / 1-1:
The Real Line and Coordinate Plane: Pythagoras / 1-2:
Slopes and Equations of Straight Lines / 1-3:
Circles and Parabolas: Descartes and Fermat / 1-4:
The Concept of a Function / 1-5:
Graphs of Functions / 1-6:
Introductory Trigonometry / 1-7:
The Functions Sin O and Cos O / 1-8:
The Derivative of a Function / Chapter 2:
What is Calculus ? / 2-0:
The Problems of Tangents / 2-1:
How to Calculate the Slope of the Tangent / 2-2:
The Definition of the Derivative / 2-3:
Velocity and Rates of Change: Newton and Leibriz / 2-4:
The Concept of a Limit: Two Trigonometric Limits / 2-5:
Continuous Functions: The Mean Value Theorem and Other Theorem / 2-6:
The Computation of Derivatives / Chapter 3:
Derivatives of Polynomials / 3-1:
The Product and Quotient Rules / 3-2:
Composite Functions and the Chain Rule / 3-3:
Some Trigonometric Derivatives / 3-4:
Implicit Functions and Fractional Exponents / 3-5:
Derivatives of Higher Order / 3-6:
Applications of Derivatives / Chapter 4:
Increasing and Decreasing Functions: Maxima and Minima / 4-1:
Concavity and Points of Inflection / 4-2:
Applied Maximum and Minimum Problems / 4-3:
More Maximum-Minimum Problems / 4-4:
Related Rates / 4-5:
Newtons Method for Solving Equations / 4-6:
Applications to Economics: Marginal Analysis / 4-7:
Indefinite Integrals and Differential Equations / Chapter 5:
Differentials and Tangent Line Approximations / 5-1:
Indefinite Integrals: Integration by Substitution / 5-3:
Differential Equations: Separation of Variables / 5-4:
Motion Under Gravity: Escape Velocity and Black Holes / 5-5:
Definite Integrals / Chapter 6:
The Problem of Areas / 6-1:
The Sigma Notation and Certain Special Sums / 6-3:
The Area Under a Curve: Definite Integrals / 6-4:
The Computation of Areas as Limits / 6-5:
The Fundamental Theorem of Calculus / 6-6:
Properties of Definite Integrals / 6-7:
Applications of Integration / Chapter 7:
Introduction: The Intuitive Meaning of Integration / 7-1:
The Area between Two Curves / 7-2:
Volumes: The Disk Method / 7-3:
Volumes: The Method of Cylindrical Shells / 7-4:
Arc Length / 7-5:
The Area of a Surface of Revolution / 7-6:
Work and Energy / 7-7:
Hydrostatic Force PART II / 7-8:
Exponential and Logarithm Functions / Chapter 8:
Review of Exponents and Logarithms / 8-1:
The Number e and the Function y = e x / 8-3:
The Natural Logarithm Function y = ln x / 8-4:
Applications Population Growth and Radioactive Decay / 8-5:
More Applications / 8-6:
Trigonometric Functions / Chapter 9:
Review of Trigonometry / 9-1:
The Derivatives of the Sine and Cosine / 9-2:
The Integrals of the Sine and Cosine / 9-3:
The Derivatives of the Other Four Functions / 9-4:
The Inverse Trigonometric Functions / 9-5:
Simple Harmonic Motion / 9-6:
Hyperbolic Functions / 9-7:
Methods of Integration / Chapter 10:
The Method of Substitution / 10-1:
Certain Trigonometric Integrals / 10-3:
Trigonometric Substitutions / 10-4:
Completing the Square / 10-5:
The Method of Partial Fractions / 10-6:
Integration by Parts / 10-7:
A Mixed Bag / 10-8:
Numerical Integration / 10-9:
Further Applications of Integration / Chapter 11:
The Center of Mass of a Discrete System / 11-1:
Centroids / 11-2:
The Theorems of Pappus / 11-3:
Moment of Inertia / 11-4:
Indeterminate Forms and Improper Integrals / Chapter 12:
Introduction. The Mean Value Theorem Revisited / 12-1:
The Interminate Form 0/0. L'Hospital's Rule / 12-2:
Other Interminate Forms / 12-3:
Improper Integrals / 12-4:
The Normal Distribution / 12-5:
Infinite Series of Constants / Chapter 13:
What is an Infinite Series ? / 13-1:
Convergent Sequences / 13-2:
Convergent and Divergent Series / 13-3:
General Properties of Convergent Series / 13-4:
Series on Non-negative Terms: Comparison Test / 13-5:
Numbers, Functions, and Graphs / Chapter 1:
Introduction / 1-1:
The Real Line and Coordinate Plane: Pythagoras / 1-2:
4.

図書

図書
J. ハーツ, A. クロー, R. G. パルマー著 ; 笹川辰弥, 呉勇訳
出版情報: 東京 : トッパン, 1994.5  xv, 386p ; 21cm
シリーズ名: アジソンウェスレイ・トッパン情報科学シリーズ ; 41
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5.

図書

図書
寺澤浩二著
出版情報: 東京 : 研究社出版, 1994.7  ix, 278p ; 19cm
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6.

図書

図書
ネットワーク用語編集委員会編
出版情報: 東京 : 日本理工出版会, 1994.6  iv, 518p ; 19cm
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7.

図書

図書
茅誠司, 有山兼孝日本側監修
出版情報: 東京 : 工業調査会, 1994.2  3冊 ; 27cm
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8.

図書

図書
高津學, 廣木守雄編
出版情報: 東京 : 紀伊國屋書店, 1994.1  379p ; 19cm
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9.

図書

図書
中島平三, 外池滋生編著
出版情報: 東京 : 大修館書店, 1994.3  viii, 286p ; 21cm
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10.

図書

図書
東京大学教養学部英語教室編
出版情報: 東京 : 東京大学出版会, 1994-2000  2冊 ; 23-26cm
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