Calculus explained (53 Ergebnisse)

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Taschenbuch. Zustand: Neu. Neuware.

Taschenbuch. Zustand: Neu. Neuware - The mathematics behind AI is far easier to understand when the ideas come before the notation.Modern artificial intelligence combines linear algebra, calculus, probability, information theory and optimization. In research papers, those mathematical languages often appear together within a few lines. The result can look far more intimidating than the underlying ideas actually are.The Mathematics of AI, Made Intuitive builds those foundations from first principles and then connects them directly to machine learning, neural networks and modern AI.Rather than asking you to memorize equations, D. K. Harlan explains what each mathematical object is doing, why an equation has its particular shape and how the same structures reappear throughout AI.You will develop an intuitive understanding of: - vectors, matrices, embeddings, eigenvectors and singular values- derivatives, gradients, Jacobians, Hessians and backpropagation- probability, Bayesian reasoning, entropy and cross-entropy- gradient descent, momentum, adaptive optimization and generalization- attention, transformers and representation learning- generative models and statistical inference- reinforcement learning, search and reasoning- scaling laws, numerical computing and modern LLM trainingAt the centre of the book is one recurring learning process: Represent ? Transform ? Predict ? Measure Error ? Assign Responsibility ? Update ? RepeatOnce that structure becomes visible, unfamiliar equations stop looking like isolated symbols. A dot product becomes comparison. A gradient becomes sensitivity. Attention becomes a mechanism for deciding what information matters. Optimization becomes movement through parameter space.The goal is not merely to understand the mathematics used by today's models.It is to develop a mathematical language that remains useful as AI changes.…

Taschenbuch. Zustand: Neu. Neuware.

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Taschenbuch. Zustand: Neu. Neuware.

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is your all-in-one guide to understanding mathematics clearly and efficiently. Each page tackles a single, central question with straightforward explanations on the left and practical examples on the right.Ideal for anyone whowants (or needs) to truly understand math,prefers visual learning,likes finding the essentials at a glance,only wants to read what s relevant right now.What makes this book unique Every page is self-contained and easy to follow.Concepts are explained in a conversational style.Examples are comprehensive, yet easy to follow.No prior knowledge required, we start from the very beginning.From the basics to more advanced questions:How do you expand and reduce fractions What does if and only if mean .How do you find the derivative of an inverse function When does an improper integral of a function exist This book is a translation of the original German edition Mathe übersichtlich: Von den Basics bis zur Analysis, 3rd edition, by Adriane Gründers, published by Springer-Verlag GmbH, DE in 2025. The translation was done with the help of an artificial intelligence machine translation tool. A subsequent human revision was done in close cooperation with native speakers, but the book might still read stylistically differently from a conventional translation.…

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