May 1, 2024
Updated May 8, 2025
27 minute read
At a fundamental level, a function is a rule or a process that takes an input and produces a corresponding output. Think of it like a vending machine: you put in money (input) and select an item (another input, or part of the input process), and the machine dispenses a product (output). This input-output relationship is the core idea behind functions, a concept that is surprisingly versatile and appears in many different fields.
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Reading list
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Functions.
Covers a wide range of topics in differential equations, from first-order linear equations to partial differential equations. It also includes applications of differential equations to physics, engineering, biology, and other fields. The book is suitable for students with a basic understanding of calculus.
This textbook covers a wide range of topics in calculus, including functions, limits, derivatives, and integrals. It is suitable for students with a strong foundation in algebra and trigonometry.
Provides a rigorous introduction to calculus, including topics such as limits, derivatives, integrals, and differential equations. It is suitable for students with a strong background in algebra and trigonometry.
This textbook provides a comprehensive introduction to linear algebra, covering topics such as vector spaces, matrices, and linear transformations. It is suitable for students with a strong foundation in mathematics.
Provides a comprehensive overview of functions and graphs, covering topics such as linear functions, polynomials, rational functions, exponential functions, and logarithmic functions. It is suitable for students with a basic understanding of algebra.
This textbook provides a comprehensive introduction to topology, covering topics such as topological spaces, continuous functions, and homeomorphisms. It is suitable for students with a strong foundation in mathematics.
This textbook provides a comprehensive introduction to real analysis, covering topics such as the real number system, sequences, and series. It is suitable for students with a strong foundation in mathematics.
This textbook provides a comprehensive introduction to complex analysis, covering topics such as complex numbers, complex functions, and complex integration. It is suitable for students with a strong foundation in mathematics.
This textbook provides a comprehensive introduction to numerical analysis, covering topics such as numerical linear algebra, numerical integration, and numerical differential equations. It is suitable for students with a strong foundation in mathematics.
This textbook provides a comprehensive introduction to optimization, covering topics such as linear programming, nonlinear programming, and convex optimization. It is suitable for students with a strong foundation in mathematics.
This textbook provides a comprehensive introduction to operations research, covering topics such as linear programming, nonlinear programming, and network optimization. It is suitable for students with a strong foundation in mathematics.
Provides a comprehensive introduction to deep learning, covering topics such as neural networks, convolutional neural networks, and recurrent neural networks. It is suitable for students with a strong background in mathematics and computer science.
Provides a comprehensive introduction to artificial intelligence, covering topics such as machine learning, natural language processing, and computer vision. It is suitable for students with a strong background in mathematics and computer science.
Provides a comprehensive introduction to partial differential equations, covering topics such as the heat equation, the wave equation, and the Laplace equation. It is suitable for students with a strong background in calculus and linear algebra.
Provides a comprehensive introduction to machine learning, covering topics such as supervised learning, unsupervised learning, and reinforcement learning. It is suitable for students with a strong background in mathematics and computer science.
Provides a comprehensive introduction to linear algebra, covering topics such as vector spaces, matrices, determinants, and eigenvalues. It is suitable for students with a basic understanding of algebra.
Provides a comprehensive introduction to computer science, covering topics such as programming, data structures, and algorithms. It is suitable for students with a basic understanding of mathematics.
Provides a comprehensive introduction to functions in mathematics, covering topics such as the real number system, complex numbers, and the calculus of functions. It is suitable for students with a strong background in mathematics.
Provides a comprehensive introduction to mathematical statistics, covering topics such as probability, sampling, and hypothesis testing. It is suitable for students with a strong background in calculus.
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