npm WARN … requires a peer of … but none is installed. You must install peer dependencies yourself

I tried to run a project downloaded from github. Unfortunately, during npm install the following warnings were shown. I tried to change the version based on this question. However, I had a problem, because some packages require multiple versions other packages. Consider these two lines:

npm WARN @angular/[email protected] requires a peer of @angular/core@^4.3.0 but none is installed. You must install peer dependencies yourself.

npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.

So, installing some packages causes the list of dependencies to grow substantially.

Does anyone have a solution?

npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/core@^4.3.0 but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/common@^4.3.0 but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/core@^4.3.0 but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/common@^4.3.0 but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.
npm WARN @angular/[email protected] requires a peer of @angular/[email protected] but none is installed. You must install peer dependencies yourself.
npm WARN [email protected] requires a peer of @angular/compiler@^2.0.0 but none is installed. You must install peer dependencies yourself.
npm WARN [email protected] requires a peer of webpack@^3.1.0 but none is installed. You must install peer dependencies yourself.

Here are the contents of package.json:

{
  "name": "fireplace",
  "version": "0.0.0",
  "license": "MIT",
  "angular-cli": {},
  "scripts": {
    "ng": "ng",
    "start": "ng serve",
    "test": "ng test",
    "lint": "ng lint",
    "e2e": "ng e2e"
  },
  "repository": {
    "type": "git",
    "url": "https://github.com/name/fireplace.git"
  },
  "author": "name",
  "bugs": {
    "url": "https://github.com/name/fireplace/issues"
  },
  "homepage": "https://github.com/name/fireplace",
  "private": true,
  "dependencies": {
    "@angular/animations": "^4.0.0-rc.2",
    "@angular/common": "^4.0.0-rc.2",
    "@angular/compiler": "^4.0.0-rc.2",
    "@angular/compiler-cli": "^4.0.0-rc.2",
    "@angular/core": "^4.0.0-rc.2",
    "@angular/flex-layout": "^2.0.0-rc.1",
    "@angular/forms": "^4.0.0-rc.2",
    "@angular/http": "^4.0.0-rc.2",
    "@angular/material": "^2.0.0-beta.2",
    "@angular/platform-browser": "^4.0.0-rc.2",
    "@angular/platform-browser-dynamic": "^4.0.0-rc.2",
    "@angular/platform-server": "^4.0.0-rc.2",
    "@angular/router": "^4.0.0-rc.2",
    "@types/lodash": "^4.14.53",
    "angular2-google-maps": "^0.17.0",
    "angular2-moment": "^1.2.0",
    "angularfire2": "^2.0.0-beta.8",
    "core-js": "^2.4.1",
    "d3": "^4.7.1",
    "d3-cloud": "^1.2.4",
    "firebase": "^3.6.10",
    "hammerjs": "^2.0.8",
    "lodash": "^4.17.4",
    "rxjs": "^5.2.0",
    "ts-helpers": "^1.1.1",
    "zone.js": "^0.7.6"
  },
  "devDependencies": {
    "@angular/cli": "^1.0.0-rc.1",
    "@angular/compiler-cli": "^2.4.0",
    "@types/jasmine": "2.5.38",
    "@types/node": "~6.0.60",
    "codelyzer": "~2.0.0",
    "jasmine-core": "2.5.2",
    "karma": "~1.4.1",
    "karma-chrome-launcher": "~2.0.0",
    "karma-cli": "~1.0.1",
    "karma-jasmine": "~1.1.0",
    "karma-jasmine-html-reporter": "^0.2.2",
    "karma-coverage-istanbul-reporter": "^0.2.1",
    "protractor": "~5.1.0",
    "ts-node": "~2.0.0",
    "tslint": "~4.4.2",
    "typescript": "^2.2.1",
    "webpack": "^2.2.1"
  }
}

ng serve returns(I pasted only the beginning and the end):

ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/bidi/index.d.ts (8,99): Cannot find module '@angular/cdk/bidi'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/portal/portal.d.ts (8,85): Cannot find module '@angular/cdk/portal'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/portal/portal-directives.d.ts (8,76): Cannot find module '@angular/cdk/portal'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/portal/dom-portal-host.d.ts (8,31): Cannot find module '@angular/cdk/portal'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/ripple/ripple-renderer.d.ts (9,26): Cannot find module '@angular/cdk/platform'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/ripple/ripple-renderer.d.ts (10,31): Cannot find module '@angular/cdk/scrolling'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/ripple/ripple.d.ts (9,31): Cannot find module '@angular/cdk/scrolling'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/ripple/ripple.d.ts (10,26): Cannot find module '@angular/cdk/platform'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/platform/platform.d.ts (8,26): Cannot find module '@angular/cdk/platform'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/keyboard/keycodes.d.ts (8,146): Cannot find module '@angular/cdk/keycodes'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/core.d.ts (1,61): Cannot find module '@angular/cdk/coercion'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/core.d.ts (2,49): Cannot find module '@angular/cdk/observers'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/core.d.ts (3,32): Cannot find module '@angular/cdk/collections'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/core.d.ts (9,15): Cannot find module '@angular/cdk/platform'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/core.d.ts (10,15): Cannot find module '@angular/cdk/overlay'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/core.d.ts (14,252): Cannot find module '@angular/cdk/a11y'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/autocomplete/autocomplete.d.ts (10,44): Cannot find module '@angular/cdk/a11y'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/autocomplete/autocomplete-trigger.d.ts (10,32): Cannot find module '@angular/cdk/bidi'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/autocomplete/autocomplete-trigger.d.ts (11,67): Cannot find module '@angular/cdk/overlay'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/button/button.d.ts (9,26): Cannot find module '@angular/cdk/platform'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/core/a11y/focus-key-manager.d.ts (8,50): Cannot find module '@angular/cdk/a11y'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/chips/chip-list.d.ts (10,33): Cannot find module '@angular/cdk/a11y'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/chips/chip-list.d.ts (11,32): Cannot find module '@angular/cdk/bidi'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/dialog/dialog-config.d.ts (9,27): Cannot find module '@angular/cdk/bidi'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/dialog/dialog-container.d.ts (10,86): Cannot find module '@angular/cdk/portal'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/dialog/dialog-container.d.ts (11,34): Cannot find module '@angular/cdk/a11y'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/dialog/dialog-ref.d.ts (8,28): Cannot find module '@angular/cdk/overlay'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/dialog/dialog.d.ts (10,31): Cannot find module '@angular/cdk/portal'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/dialog/dialog.d.ts (11,62): Cannot find module '@angular/cdk/overlay'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/datepicker/datepicker.d.ts (9,67): Cannot find module '@angular/cdk/overlay'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/datepicker/datepicker.d.ts (10,32): Cannot find module '@angular/cdk/bidi'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/grid-list/grid-list.d.ts (10,32): Cannot find module '@angular/cdk/bidi'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typings/input/autosize.d.ts (10,26): Cannot find module '@angular/cdk/platform'.
ERROR in /Users/username/Projects/fireplace/node_modules/@angular/material/typing

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