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1.

図書
図書
1. The chemistry maths book. 2nd ed (: pbk)
Erich Steiner
出版情報: Oxford ; New York : Oxford University Press, 2008  xii, 668 p. ; 25 cm
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目次情報: 続きを見る
Numbers, variables, and units / 1：
Concepts / 1.1：
Real numbers / 1.2：
Factorization, factors, and factorials / 1.3：
Decimal representation of numbers / 1.4：
Variables / 1.5：
The algebra of real numbers / 1.6：
Complex numbers / 1.7：
Units / 1.8：
Exercises / 1.9：
Algebraic functions / 2：
Graphical representation of functions / 2.1：
Factorization and simplification of expressions / 2.3：
Inverse functions / 2.4：
Polynomials / 2.5：
Rational functions / 2.6：
Partial fractions / 2.7：
Solution of simultaneous equations / 2.8：
Transcendental functions / 2.9：
Trigonometric functions / 3.1：
Inverse trigonometric functions / 3.3：
Trigonometric relations / 3.4：
Polar coordinates / 3.5：
The exponential function / 3.6：
The logarithmic function / 3.7：
Values of exponential and logarithmic functions / 3.8：
Hyperbolic functions / 3.9：
Differentiation / 3.10：
The process of differentiation / 4.1：
Continuity / 4.3：
Limits / 4.4：
Differentiation from first principles / 4.5：
Differentiation by rule / 4.6：
Implicit functions / 4.7：
Logarithmic differentiation / 4.8：
Successive differentiation / 4.9：
Stationary points / 4.10：
Linear and angular motion / 4.11：
The differential / 4.12：
Integration / 4.13：
The indefinite integral / 5.1：
The definite integral / 5.3：
The integral calculus / 5.4：
Uses of the integral calculus / 5.5：
Static properties of matter / 5.6：
Dynamics / 5.7：
Pressure-volume work / 5.8：
Methods of integration / 5.9：
The use of trigonometric relations / 6.1：
The method of substitution / 6.3：
Integration by parts / 6.4：
Reduction formulas / 6.5：
Rational integrands. The method of partial fractions / 6.6：
Parametric differentiation of integrals / 6.7：
Sequences and series / 6.8：
Sequences / 7.1：
Finite series / 7.3：
Infinite series / 7.4：
Tests of convergence / 7.5：
MacLaurin and Taylor series / 7.6：
Approximate values and limits / 7.7：
Operations with power series / 7.8：
Algebra of complex numbers / 7.9：
Graphical representation / 8.3：
Complex functions / 8.4：
Euler's formula / 8.5：
Periodicity / 8.6：
Evaluation of integrals / 8.7：
Functions of several variables / 8.8：
Partial differentiation / 9.1：
The total differential / 9.4：
Some differential properties / 9.6：
Exact differentials / 9.7：
Line integrals / 9.8：
Multiple integrals / 9.9：
The double integral / 9.10：
Change of variables / 9.11：
Functions in 3 dimensions / 9.12：
Spherical polar coordinates / 10.1：
Functions of position / 10.3：
Volume integrals / 10.4：
The Laplacian operator / 10.5：
Other coordinate systems / 10.6：
First-order differential equations / 10.7：
Solution of a differential equation / 11.1：
Separable equations / 11.3：
Separable equations in chemical kinetics / 11.4：
First-order linear equations / 11.5：
An example of linear equations in chemical kinetics / 11.6：
Electric circuits / 11.7：
Second-order differential equations. Constant coefficients / 11.8：
Homogeneous linear equations / 12.1：
The general solution / 12.3：
Particular solutions / 12.4：
The harmonic oscillator / 12.5：
The particle in a one-dimensional box / 12.6：
The particle in a ring / 12.7：
Inhomogeneous linear equations / 12.8：
Forced oscillations / 12.9：
Second-order differential equations. Some special functions / 12.10：
The power-series method / 13.1：
The Frobenius method / 13.3：
The Legendre equation / 13.4：
The Hermite equation / 13.5：
The Laguerre equation / 13.6：
Bessel functions / 13.7：
Partial differential equations / 13.8：
General solutions / 14.1：
Separation of variables / 14.3：
The particle in a rectangular box / 14.4：
The particle in a circular box / 14.5：
The hydrogen atom / 14.6：
The vibrating string / 14.7：
Orthogonal expansions. Fourier analysis / 14.8：
Orthogonal expansions / 15.1：
Two expansions in Legendre polynomials / 15.3：
Fourier series / 15.4：
Fourier transforms / 15.5：
Vectors / 15.7：
Vector algebra / 16.1：
Components of vectors / 16.3：
Scalar differentiation of a vector / 16.4：
The scalar (dot) product / 16.5：
The vector (cross) product / 16.6：
Scalar and vector fields / 16.7：
The gradient of a scalar field / 16.8：
Divergence and curl of a vector field / 16.9：
Vector spaces / 16.10：
Determinants / 16.11：
Determinants of order 3 / 17.1：
The general case / 17.3：
The solution of linear equations / 17.4：
Properties of determinants / 17.5：
Reduction to triangular form / 17.6：
Alternating functions / 17.7：
Matrices and linear transformations / 17.8：
Some special matrices / 18.1：
Matrix algebra / 18.3：
The inverse matrix / 18.4：
Linear transformations / 18.5：
Orthogonal matrices and orthogonal transformations / 18.6：
Symmetry operations / 18.7：
The matrix eigenvalue problem / 18.8：
The eigenvalue problem / 19.1：
Properties of the eigenvectors / 19.3：
Matrix diagonalization / 19.4：
Quadratic forms / 19.5：
Complex matrices / 19.6：
Numerical methods / 19.7：
Errors / 20.1：
Solution of ordinary equations / 20.3：
Interpolation / 20.4：
Numerical integration / 20.5：
Methods in linear algebra / 20.6：
Gauss elimination for the solution of linear equations / 20.7：
Gauss-Jordan elimination for the inverse of a matrix / 20.8：
Systems of differential equations / 20.9：
Probability and statistics / 20.11：
Descriptive statistics / 21.1：
Frequency and probability / 21.3：
Combinations of probabilities / 21.4：
The binomial distribution / 21.5：
Permutations and combinations / 21.6：
Continuous distributions / 21.7：
The Gaussian distribution / 21.8：
More than one variable / 21.9：
Least squares / 21.10：
Sample statistics / 21.11：
Standard integrals / 21.12：
Solutions to exercises
Index
Numbers, variables, and units / 1：
Concepts / 1.1：
Real numbers / 1.2：
2.

図書
図書
2. Hyperplane arrangements : an introduction
Alexandru Dimca
出版情報: Cham : Springer, c2017  xii, 200 p. ; 24 cm
シリーズ名: Universitext
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3.

図書
図書
3. Algebra. First American ed (2 : pbk)
by Carolyn Wheater
出版情報: Indianapolis : Alpha, a member of Penguin Random House LLC, 2015  x, 342 p. ; 24 cm
シリーズ名: Idiot's guides : as easy as it gets!
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4.

図書
図書
4. The stair-step approach in mathematics (: pbk)
Hayk Sedrakyan, Nairi Sedrakyan
出版情報: Cham : Springer, 2018  xix, 531 p. ; 24 cm
シリーズ名: Problem books in mathematics / edited by K. Bencsáth and P.R. Halmos
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5.

図書
図書
5. Матемакика : для техникумов : (курс единой математики)
И.К. Андронов
出版情報: Москва : Высшая школа, 1965  823 p. ; 27 cm
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6.

図書
図書
6. Mathematics : a very short introduction
Timothy Gowers
出版情報: Oxford ; Tokyo : Oxford University Press, 2002  143 p. ; 18 cm
シリーズ名: Very short introductions ; 66
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7.

図書
図書
7. Selected papers on discrete mathematics (: cloth ; : paper)
Donald E. Knuth
出版情報: Stanford, Calif. : CSLI Publications, c2003  xvi, 812 p. ; 23 cm
シリーズ名: CSLI lecture notes ; no. 106
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目次情報: 続きを見る
Combinatorial Analysis and Computers / 1：
Two Notes on Notation / 2：
Bracket Notation for the 'Coefficient of' Operator / 3：
Johann Faulhaber and Sums of Powers / 4：
Notes on Thomas Harriot / 5：
A Permanent Inequality / 6：
Overlapping Pfaffians / 7：
The Sandwich Theorem / 8：
Combinatorial Matrices / 9：
Aztec Diamonds, Checkerboard Graphs, and Spanning Trees / 10：
Partitioned Tensor Products and Their Spectra / 11：
Oriented Subtrees of an Arc Digraph / 12：
Another Enumeration of Trees / 13：
Abel Identities and Inverse Relations / 14：
Convolution Polynomials / 15：
Polynomials Involving the Floor Function / 16：
Construction of a Random Sequence / 17：
An Imaginary Number System / 18：
Tables of Finite Fields
Finite Semifields and Projective Planes / 20：
A Class of Projective Planes / 21：
Notes on Central Groupoids / 22：
Huffman's Algorithm via Algebra / 23：
Wheels Within Wheels / 24：
Complements and Transitive Closures / 25：
Random Matroids / 26：
The Asymptotic Number of Geometries / 27：
Permutations with Nonnegative Partial Sums / 28：
Efficient Balanced Codes / 29：
The Knowlton - Graham Partition Problem / 30：
Permutations, Matrices, and Generalized Young Tableaux / 31：
Enumeration of Plane Partitions / 32：
A Note on Solid Partitions / 33：
Identities from Partition Involutions / 34：
Subspaces, Subsets, and Partitions / 35：
The Power of a Prime That Divides a Generalized Coefficient / 36：
An Almost Linear Recurrence / 37：
Recurrence Relations Based on Minimization / 38：
A Recurrence Related to Trees / 39：
The First Cycles in an Evolving Graph / 40：
The Birth of the Giant Component / 41：
Index
Combinatorial Analysis and Computers / 1：
Two Notes on Notation / 2：
Bracket Notation for the 'Coefficient of' Operator / 3：
8.

図書
図書
8. Mathematics and optimal form (: hard)
Stefan Hildebrandt, Anthony Tromba
出版情報: New York : Scientific American Books, c1985  215 p. ; 25 cm
シリーズ名: Scientific American library
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9.

図書
図書
9. Collected mathematical papers (v. 1 ; v. 2 ; v. 3)
George David Birkhoff
出版情報: New York : Dover Publications, [1968]  3 v ; 22 cm
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10.

図書
図書
10. Basic mathematics for engineers. Modern Asia ed
by Paul G. Andres, Hugh J. Miser, Haim Reingold
出版情報: New York : John Wiley & Sons , Tokyo : Charles E. Tuttle, 1960  x, 776 p. ; 22 cm
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